QUEEN SAND RESOURCES INC
S-3, 1999-01-22
METAL MINING
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<PAGE>   1
As filed with the Securities and Exchange Commission on January 22, 1999
                                                     Registration No. 333-
================================================================================

                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549
                      ------------------------------------

                                    FORM S-3
             REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933

                      ------------------------------------


                           QUEEN SAND RESOURCES, INC.
             (Exact name of registrant as specified in its charter)

              DELAWARE                                  75-2615565
   (State or other jurisdiction of                   (I.R.S. Employer
   incorporation or organization)                   Identification No.)

                           13760 NOEL ROAD, SUITE 1030
                            DALLAS, TEXAS 75240-7336
                                 (972) 233-9906
                   (Address, including zip code, and telephone
                         number, including area code, of
                    registrant's principal executive offices)
                      ------------------------------------

                                ROBERT P. LINDSAY
                             CHIEF OPERATING OFFICER
                           13760 NOEL ROAD, SUITE 1030
                            DALLAS, TEXAS 75240-7336
                            TELEPHONE: (972) 233-9906
                               FAX: (972) 233-9575
            (Name, address, including zip code, and telephone number,
                   including area code, of agent for service)
                      ------------------------------------

                                    COPY TO:
                                WILLIAM L. BOEING
                              HAYNES AND BOONE, LLP
                           901 MAIN STREET, SUITE 3100
                            DALLAS, TEXAS 75202-3789
                            TELEPHONE: (214) 651-5000
                               FAX: (214) 651-5940
                      ------------------------------------

        APPROXIMATE DATE OF COMMENCEMENT OF PROPOSED SALE TO THE PUBLIC:
   From time to time after the effective date of this Registration Statement.

     If the only securities being registered on this Form are being offered
pursuant to dividend or interest reinvestment plans, please check the following
box. [ ]

     If any of the securities being registered on this Form are to be offered on
a delayed or continuous basis pursuant to Rule 415 under the Securities Act of
1933, other than securities offered only in connection with dividend or interest
reinvestment plans, check the following box. [X]

     If this Form is filed to register additional securities for an offering
pursuant to Rule 462(b) under the Securities Act, please check the following box
and list the Securities Act registration statement number of the earlier
effective registration statement for the same offering. [ ]

     If this Form is a post-effective amendment filed pursuant to Rule 462(c)
under the Securities Act, check the following box and list the Securities Act
registration statement number of the earlier effective registration statement
for the same offering. [ ]

     If delivery of the prospectus is expected to be made pursuant to Rule 434,
please check the following box. [ ]

                         CALCULATION OF REGISTRATION FEE

<TABLE>
<CAPTION>
===================================================================================================================================
                                                                PROPOSED MAXIMUM           PROPOSED MAXIMUM             AMOUNT OF
         TITLE OF EACH CLASS                AMOUNT TO BE       OFFERING PRICE PER         AGGREGATE OFFERING          REGISTRATION
    OF SECURITIES TO BE REGISTERED         REGISTERED (1)           SHARE (2)                  PRICE (2)                   FEE
- -----------------------------------------------------------------------------------------------------------------------------------
<S>                                       <C>                        <C>                      <C>                       <C>      
Common Stock, par value $0.0015 per
share ................................    1,410,877 shares           $3.875                   $5,467,148                $1,520.00
===================================================================================================================================
</TABLE>

(1)  Pursuant to Rule 416, the Registration Statement also covers such
     indeterminate additional shares of Common Stock as may become issuable to
     prevent dilution resulting from stock splits, stock dividends or similar
     events.

(2)  Estimated solely for purposes of calculating the registration fee pursuant
     to Rule 457(c) based on the average of the high and low prices reported on
     the Nasdaq SmallCap Market on January 15, 1998.

                      ------------------------------------

     THE REGISTRANT HEREBY AMENDS THIS REGISTRATION STATEMENT ON SUCH DATE OR
DATES AS MAY BE NECESSARY TO DELAY ITS EFFECTIVE DATE UNTIL THE REGISTRANT SHALL
FILE A FURTHER AMENDMENT WHICH SPECIFICALLY STATES THAT THIS REGISTRATION
STATEMENT SHALL THEREAFTER BECOME EFFECTIVE IN ACCORDANCE WITH SECTION 8(a) OF
THE SECURITIES ACT OF 1933, AS AMENDED, OR UNTIL THE REGISTRATION STATEMENT
SHALL BECOME EFFECTIVE ON SUCH DATE AS THE COMMISSION, ACTING PURSUANT TO SAID
SECTION 8(a), MAY DETERMINE.



================================================================================
<PAGE>   2

The information in this Prospectus is not complete and may be changed. We may
not sell these securities until the registration statement filed with the
Securities and Exchange Commission is effective. This Prospectus is not an offer
to sell these securities and it is not soliciting an offer to buy these
securities in any state where the offer or sale is not permitted.


                  Subject to Completion Dated January 22, 1999

                           QUEEN SAND RESOURCES, INC.

                        1,410,877 SHARES OF COMMON STOCK


     This Prospectus relates to shares of Common Stock of Queen Sand Resources,
Inc., a Delaware corporation (the "Company"), to be sold from time to time by
the selling stockholders named in this Prospectus (the "Selling Stockholders").
The Company will not receive any of the proceeds from the sale of the shares of
Common Stock.

     The Selling Stockholders may sell the shares of Common Stock covered by
this Prospectus through one or more underwriters. The Selling Stockholders may
also sell the shares of Common Stock directly to other purchasers or through
agents on the Nasdaq SmallCap Market in ordinary brokerage transactions, in
negotiated transactions or otherwise, at market prices prevailing at the time of
sales, at prices related to the then prevailing market price or at negotiated
prices. You should read this Prospectus and any supplement carefully before you
invest.

     The Company's Common Stock is traded on the Nasdaq SmallCap Market under
the symbol "QSRI."

     YOU SHOULD READ THE SECTION ENTITLED "RISK FACTORS" BEGINNING ON PAGE 4 FOR
A DISCUSSION OF CERTAIN FACTORS YOU SHOULD CONSIDER BEFORE BUYING THE COMPANY'S
COMMON STOCK.

                              ---------------------


NEITHER THE SECURITIES AND EXCHANGE COMMISSION NOR ANY STATE SECURITIES
COMMISSION HAS APPROVED OR DISAPPROVED THESE SECURITIES OR PASSED UPON THE
ACCURACY OR ADEQUACY OF THIS PROSPECTUS. ANY REPRESENTATION TO THE CONTRARY IS A
CRIMINAL OFFENSE.

                              ---------------------


                The date of this Prospectus is          , 1999

<PAGE>   3

                                TABLE OF CONTENTS

<TABLE>
<CAPTION>
                                                                                                              Page
                                                                                                              ----
<S>                                                                                                           <C>
A Warning about Forward-looking Statements.................................................................     3        
The Company................................................................................................     4        
Risk Factors...............................................................................................     4        
Use of Proceeds............................................................................................    17        
Selling Stockholders.......................................................................................    17        
Description of Capital Stock...............................................................................    19        
Shares Eligible for Future Sale............................................................................    31        
Plan of Distribution.......................................................................................    32        
Legal Matters..............................................................................................    33        
Engineers..................................................................................................    33        
Independent Auditors.......................................................................................    34        
Additional Information.....................................................................................    34        
Incorporation by Reference.................................................................................    34        
Disclosure of Commission Position on Indemnification for Securities Act Liabilities........................    35        
Certain Definitions........................................................................................    36        
</TABLE>
                                 ---------------

                   A WARNING ABOUT FORWARD-LOOKING STATEMENTS

     We make forward-looking statements in this document, and in our public
documents to which we refer, that are subject to risks and uncertainties in
addition to those set forth below. These forward-looking statements include
information about possible or assumed future results of our operations. Also,
when we use any of the words "believes," "expects," "anticipates" or similar
expressions, we are making forward-looking statements. Many possible events or
factors could affect our future financial results and performance. This could
cause our results or performance to differ materially from those we express in
our forward-looking statements. You should consider these risks when you
purchase our Common Stock.
These possible events or facts include the following:

     o    the timing and extent of changes in commodity prices for oil and
          natural gas;

     o    the need to acquire, develop and replace reserves;

     o    the Company's ability to obtain financing to fund its strategy;

     o    environmental risks;

     o    drilling and operating risks;

     o    risks related to exploitation and development;

     o    uncertainties about the estimates of reserves;

     o    competition;

     o    government regulation; and

     o    the Company's ability to meet its stated business goals.



                                        3

<PAGE>   4
                                   THE COMPANY

     As used herein, the "Company" refers to Queen Sand Resources, Inc., a
Delaware corporation ("Queen Sand Resources"), and its subsidiaries unless the
context indicates otherwise. Certain industry terms used herein such as "SEC
PV-10" are defined in the Glossary of this Prospectus.

     Queen Sand Resources is an independent energy company which emphasizes
growth in oil and natural gas reserves and production volumes through the
acquisition, exploitation and development of on-shore oil and natural gas
properties located in the United States. Since August 1994 we have grown
primarily through 20 acquisitions of oil and natural gas properties for
aggregate consideration of approximately $160.0 million.

     Our objective is to increase our reserves, production, earnings, cash flow
and net asset value by acquiring oil and natural gas reserves with stable
production and operating characteristics. To accomplish this objective, we not
only acquire oil and natural gas properties but also develop and exploit our
existing reserve base. We evaluate potential acquisition properties based on
their particular impact upon our portfolio of reserves. We focus on low reserve
replacement costs, long reserve life, an inventory of attractive development and
exploitation projects, and the potential for reserve and production growth. We
intend to fully develop these reserves by drilling primarily low-risk
development wells.

     Our properties are located throughout 114 producing fields in the
southwestern United States. Our interests in the Gilmer Field in East Texas, the
J.C. Martin and the Lopeno/Volpe Fields in South Texas, and the Caprock Field in
New Mexico represent approximately 58% of our proved reserves (on a SEC PV-10
basis) at June 30, 1998. In addition, we have substantial operations in
Oklahoma, Kentucky and Louisiana.

     The Company's principal executive offices and mailing address are 13760
Noel Road, Suite 1030, Dallas, Texas 75240-7336 and its telephone number at that
address is (972) 233-9906.

                                  RISK FACTORS

     Before you invest in our Common Stock, you should be aware that there are
various risks, including those described below.

SUBSTANTIAL LEVERAGE AND DEBT SERVICE OBLIGATIONS

     We have a significant level of indebtedness. As of September 30, 1998, our
ratio of total indebtedness to total capitalization was 86% and our consolidated
total interest coverage ratio was 1.3:1:0. We intend to borrow more money in the
future to fund our acquisition and exploitation strategy. This relatively high
leverage could negatively affect our operations in a number of ways, including
the following:

     o    We rely on cash from our operations to pay the principal and interest
          on our indebtedness. Our ability to generate cash from operations
          depends on our level of production from our properties, general
          economic conditions, including the prices paid for our oil and natural
          gas and other factors. Our operations may not generate enough cash to
          pay the principal and interest on our indebtedness.


                                       4

<PAGE>   5

     o    We must use a substantial portion of our cash flow from operations to
          pay principal of and interest on our indebtedness, thereby reducing
          funds available for other corporate purposes.

     o    Since our bank indebtedness (approximately $17.3 million at January
          12, 1999) is at variable or floating interest rates, if the market
          rates rise, our indebtedness service obligations will become more
          expensive.

     o    Our loan agreements contain covenants which require us to satisfy
          ongoing financial tests and which limit our ability, among other
          things, to borrow additional money, pay dividends and sell assets.

     o    The level of our indebtedness could limit our flexibility in
          responding to downturns in the economy or in our business.

     Further, our high indebtedness level creates an increased risk that we may
default on our obligations. If we default, then the banks who lent us funds
could foreclose on our oil and natural gas properties securing their loans. In
the past, we have defaulted under certain financial covenants under the loans,
but the lenders have waived these defaults.

VOLATILITY OF OIL AND NATURAL GAS PRICES

     Our financial condition, operating results and future growth are
substantially dependent upon commodity prices and the demand for oil and natural
gas. Historically, the markets for oil and natural gas have been volatile and
will likely continue to be volatile in the future. Prices for oil and natural
gas fluctuate widely in response to market uncertainty, changes in supply and
demand and a variety of additional factors, all of which are beyond our control.
These factors include:

     o    domestic and foreign political conditions;

     o    the overall supply of, and demand for, oil and natural gas;

     o    the price of imports of oil and natural gas;

     o    weather conditions;

     o    the price and availability of alternative fuels; and

     o    overall economic conditions.

     Our future financial condition and results of operations will be dependent,
in part, upon the prices received for our oil and natural gas production, as
well as the costs of acquiring, finding, developing and producing reserves. We
have entered into and may in the future enter into hedging contracts to reduce
our exposure to price risks. See "-- Risks of Hedging Activities." Furthermore,
the prices we receive for the sale of our natural gas production depends in part
upon the availability, proximity and capacity of gathering systems. Our current
production is predominantly weighted toward natural gas, making earnings and
cash flow more sensitive to natural gas price fluctuations. For the fiscal year
ended June 30, 1998, we have estimated that a $0.10 per Mcf decline in natural
gas prices would have resulted in a $505,000 decrease in our earnings before
interest, taxes, depreciation and amortization ("EBITDA"), and a $1.00 per Bbl
decline in oil prices would have resulted in a $572,000 decrease in our EBITDA.
For the fiscal year ended June 30, 1998, we have estimated that a $0.10 per Mcf
increase in natural gas prices would have resulted in a $505,000 increase in our
EBITDA, and a $1.00 per Bbl increase in oil prices would have resulted in a
$931,000 increase in our EBITDA. Our ability to repay our outstanding debt, as
well as our ability to maintain or increase our borrowing capacity and to obtain
additional capital on attractive


                                        5

<PAGE>   6

terms, are also substantially dependent upon oil and natural gas prices. See "--
Substantial Capital Requirements."

HISTORY OF LOSSES

     Since commencing operations in 1995, we have not been profitable on an
annual or quarterly basis. We incurred net losses of approximately $32.8
million, $1.3 million and $1.1 million for the years ended June 30, 1998, June
30, 1997 and June 30, 1996, respectively, and approximately $2.2 million and
$0.8 million for the three months ended September 30, 1998 and September 30,
1997, respectively. We expect operating losses and negative cash flows to
continue for the foreseeable future as we continue to incur significant
operating expenses and to make capital expenditures. We may not ever generate
sufficient revenues to achieve profitability. Even if we do achieve
profitability, we may not sustain or increase profitability on a quarterly or
annual basis in the future. At September 30, 1998, we had an accumulated deficit
of approximately $38.1 million.

REPLACEMENT AND EXPANSION OF RESERVES

     Our financial condition and results of operations depend substantially upon
our ability to acquire or find and successfully develop additional oil and
natural gas reserves. Our proved reserves will generally decline as reserves are
produced unless we acquire properties containing proved reserves or conduct
successful development, exploitation or exploration activities that add to our
reserves. The decline rate varies depending upon reservoir characteristics and
other factors. There can be no assurance that we will be able to economically
find and develop or acquire additional reserves to replace our current and
future production.

ACQUISITION RISKS

     We expect to continue to evaluate and pursue acquisition opportunities,
primarily in the mid-continent and southwest regions of the United States.
Before acquiring oil and natural gas properties, we assess the recoverable
reserves, future oil and natural gas prices, operating costs, potential
environmental and other liabilities and other factors relating to the
properties. This assessment is necessarily inexact and its accuracy is
inherently uncertain. In connection with such an assessment, we believe our
method of review is generally consistent with industry practices. We may not
discover all existing or potential problems associated with the properties, and
we may not become sufficiently familiar with the properties to fully assess
their deficiencies and capabilities. We do not generally perform inspections on
every well, and we may not be able to observe structural and environmental
problems even when we conduct an inspection. Even if we identify problems, the
seller may not be willing or financially able to give contractual protection
against such problems, and we may decide to assume environmental and other
liabilities in connection with acquired properties. There can be no assurance
that our acquisitions will be successful. Any unsuccessful acquisition could
have a material adverse effect on our financial condition and results of
operations.

DRILLING AND OPERATING RISKS

     Our business is also subject to all of the operating risks associated with
the drilling for and production and secondary recovery of oil and natural gas,
including, but not limited to:

     o    uncontrollable flows of oil, natural gas, brine or well fluids
          (including fluids used in waterflood activities) into the environment
          (including groundwater contamination);

     o    fires;


                                        6

<PAGE>   7




     o    explosions; and

     o    pollution,

any of which could result in substantial losses. Drilling activities are subject
to many risks, including the risk that no commercially productive oil or natural
gas reservoirs will be encountered. There can be no assurance that new wells
drilled or participated in by us will be productive or that we will recover all
or any portion of our investment. Drilling for oil and natural gas may involve
unprofitable efforts, not only from dry wells, but from wells that are
productive but do not produce sufficient net revenues to return a profit after
drilling, operating and other costs. We do not have control over the cost of
drilling, completing and operating wells. Our drilling operations may be
curtailed, delayed or canceled as a result of a variety of factors, many of
which are beyond our control, including:

     o    economic and industry conditions (including the prices received for
          oil and natural gas);

     o    mechanical problems;

     o    pressure or irregularities in formations;

     o    title problems;

     o    weather conditions;

     o    compliance with governmental requirements; and

     o    shortages in or delays in the delivery of equipment and services.

Our future drilling activities may not be successful. Lack of drilling success
could materially adversely affect our financial condition and results of
operations.

     In addition to the substantial risk that wells drilled will not be
productive, the following hazards are inherent in oil and natural gas
development, exploitation, exploration, production and gathering, including:

     o    unusual or unexpected geologic formations;

     o    unanticipated pressures;

     o    downhole fires;

     o    mechanical failures;

     o    blowouts;

     o    cratering;

     o    explosions;

     o    uncontrollable flows of oil, natural gas or wells fluids;

     o    pollution; and

     o    other environmental risks.

We could suffer substantial losses from these hazards due to injury and loss of
life, severe damage to and destruction of property and equipment, pollution and
other environmental damage and suspension of operations. We carry insurance that
we believe is in accordance with customary industry practices for companies of
our size. However, we do not fully insure against all risks associated with our
business either because such insurance is not available or because we believe
the cost thereof is prohibitive. The occurrence of an event that is not covered,
or not fully covered by insurance, could have a material adverse effect on our
financial condition and results of operations.

     There are certain risks associated with secondary recovery operations,
especially the use of waterflooding techniques. Waterflooding involves
significant capital expenditures and uncertainty as to the total amount of
secondary reserves that can be recovered. In waterflood operations, there is
generally a delay between the initiation of water injection into a formation
containing hydrocarbons and any increase



                                        7

<PAGE>   8




in production that may result. The unit production costs per barrel of
waterflood projects are generally higher during the initial phases of such
projects due to the purchase of injection water and related costs, as well as
during the later stages of the life of the project. The degree of success, if
any, of any secondary recovery program depends on a large number of factors,
including the porosity and permeability of the formation, the technique used and
the location of injection wells.

SUBSTANTIAL CAPITAL REQUIREMENTS

     Our strategy of acquiring, developing and exploiting oil and natural gas
properties depends upon our ability to obtain financing for any such
expenditures. We expect to borrow a significant portion of the funds required
under our revolving credit facilities. These facilities limit the amounts we may
borrow thereunder to amounts, determined by the lenders in their sole
discretion, based upon projected net revenues from our oil and natural gas
properties and restricts the amounts we may borrow under other credit
facilities. As of September 30, 1998, we were able to borrow up to $25.0 million
under our Credit Agreement with the Bank of Montreal and other lenders. We
could, under certain circumstances, borrow under the revolving credit agreement
with Enron Capital & Trade Resources, Inc. (the "ECT Revolving Credit
Agreement") up to the lesser of $10.0 million or 40% of the borrowing base
established under the Credit Agreement. The lenders can semi-annually adjust the
borrowings permitted to be outstanding under these credit facilities. The
lenders require that we repay outstanding borrowings in excess of the borrowing
limit ratably over a period no longer than six months. No assurances can be
given that we will be able to make any such mandatory principal payments
required by the lenders.

     Any future acquisition by us requiring financing in excess of the amount
then available under the revolving credit facilities will depend upon the
lenders' evaluations of the properties proposed to be acquired.

UNCERTAINTY OF ESTIMATES OF PROVED RESERVES AND FUTURE NET REVENUES

     There are numerous uncertainties in estimating quantities of proved
reserves and in projecting future rates of production and the timing of
development expenditures, including many factors beyond our control. Reservoir
engineering is a subjective process of estimating underground accumulations of
oil and natural gas that cannot be exactly measured. Estimates of oil and
natural gas reserves, of necessity, are projections based on engineering data,
and there are uncertainties inherent in the interpretation of such data, as well
as the projection of future rates of production and the timing of development
expenditures. Therefore, estimates of the economically recoverable quantities of
oil and natural gas attributable to any particular group of properties and
classifications of such reserves based on risk of recovery are a function of the
quality of available data and of engineering and geological interpretation and
judgment. Although we believe such estimates and projections are reasonable,
reserve estimates are imprecise and may be expected to change as additional
information becomes available. The estimated future net cash flows prepared by
different engineers or by the same engineers at different times may vary
substantially. There also can be no assurance that the Company's estimated
reserves will ultimately be produced or that the proved undeveloped reserves
will be developed within the periods anticipated. Actual production, revenues
and expenditures with respect to our reserves will likely vary from the
estimates, and such variances may be material.

     In addition, the estimates of future net revenues from our proved reserves
and the present value thereof are based upon certain assumptions about future
production levels, prices and costs that may not be correct. We emphasize with
respect to the estimates prepared by independent petroleum engineers that




                                        8

<PAGE>   9

SEC PV-10 should not be considered as representative of the fair market value of
our proved oil and natural gas properties because discounted future net cash
flows are based upon projected cash flows which do not provide for changes in
oil and natural gas prices or for escalation of expenses and capital costs. The
meaningfulness of such estimates is highly dependent upon the reasonableness of
the assumptions upon which they are based. Actual future prices and costs may
differ materially from those estimated.

NATURE OF THE NET PROFITS INTERESTS AND ROYALTY INTERESTS

     General. As a result of the acquisition of interests in oil and natural gas
properties from pension funds managed by J.P. Morgan Investments (the "Morgan
Property Acquisition"), a substantial portion of our oil and natural gas
property interests are in the form of non-operated, net profits interests
("NPIs") and royalty interests revenues ("RIs" and, together with the NPIs, the
"Morgan Properties"). The NPIs were conveyed to us by various assignors from
such assignor's net revenue interest (generally, a leasehold working interest
less lease burdens) in the oil and natural gas properties burdened by the NPIs
and RIs (the "Underlying Properties"). These conveyances were designed to be
conveyances of interests in real property.

     As the owner of NPIs, we do not have the direct right to drill or operate
wells or to cause third parties to propose or drill wells on the Underlying
Properties. If an assignor or any other working interest owner proposes to drill
a well on one of the Underlying Properties, then the affected assignor must give
us notice of such proposal. Under the ancillary agreement covering the affected
Underlying Property, we will then have the option to pay the Applicable
Percentage (as defined in the ancillary agreement) of the assignor's working
interest share of the expenses of any well that is proposed. We would thereby
become entitled to a NPI equal to the Applicable Percentage multiplied by the
assignor's net revenue interest in that well. However, if an assignor elects not
to participate in the drilling of a well, we will be denied the opportunity to
participate in that well. Moreover, if an assignor owns less than a 100% working
interest in a proposed well, and the other owners of working interests in such
well elect not to participate in the well, the well will not be drilled unless
the money to pay the costs allocable to the working interest owners who do not
elect to participate in the well is obtained. The financial strength and the
competence of the various assignors, and to a lesser extent the financial
strength and the competence of other parties owning working interests in the
Underlying Properties, may have an effect on when and whether wells get drilled
on the Underlying Properties, and on whether operations are conducted in a
prudent and competent manner.

     Finally, the NPIs were created subsequent and subject to the various
operating agreements that cover and govern operations on the Underlying
Properties. Possible consequences of the NPIs being subject to the applicable
operating agreements include:

     o    if an assignor elects not to participate in a major operation, the
          entire original interest of the assignor (including the NPI) will be
          relinquished to the consenting parties under the "non-consent penalty"
          provisions of the standard form operating agreements that govern
          operations on most of the Underlying Properties, and

     o    if an assignor fails to pay its share of costs arising under an
          operating agreement, the entire original interest of the assignor
          (including the NPIs) will be encumbered by the operator's lien.
          Because the NPI may not burden every well covered by an operating
          agreement, the NPI could arguably be encumbered by the operator's lien
          securing obligations incurred by an assignor on wells in which the
          Company does not own a NPI.


                                        9

<PAGE>   10




     In the past, certain of the operators and/or assignors on the Morgan
Properties have experienced financial difficulties, including bankruptcy.
Further, in at least one instance an operator has claimed a right to setoff
against our revenue stream from our NPI for unpaid bills arising from the
nonpayment by a bankrupt assignor.

     The RIs are comprised largely of term royalty interests, the duration of
which is the same as the oil and natural gas lease to which it pertains. A
smaller group of RIs are perpetual royalty interests which entitle the owner
thereof to a share of production from the Underlying Properties under both the
current oil and natural gas lease and any replacement or successor oil and
natural gas lease. In all cases, the RIs are non-operating interests, have
little or no influence over oil and natural gas development or operation on the
lands they burden and should be free of costs or liabilities arising from
operations by the working interest owners.

     Sale and Abandonment of Underlying Properties. An assignor (and any
subsequent transferee of an assignor) has the right to abandon any well or
working interest included in the Underlying Properties if, in its opinion, such
well or property ceases to produce or is not capable of producing oil or natural
gas in commercially paying quantities. We may not control the timing of plugging
and abandoning wells. The conveyances provide that the assignor's working
interest share of the costs of plugging and abandoning uneconomic wells will be
deducted in calculating our net cash flow from the property.

     The assignor can sell the Underlying Properties, subject to and burdened by
the RIs, without our consent. Accordingly, the Underlying Properties could be
transferred to a party with a weaker financial profile.

     Litigation. The landowner royalty on the J.C. Martin Field is currently
subject to a lawsuit that may create uncertainty regarding our title to our
royalty interest. We believe the suit is without merit, and a favorable order of
summary judgment has been rendered in favor of the pension funds managed by J.P.
Morgan Investments. However, that order may be appealed. The purchase agreement
for the purchase of the Morgan Properties provides for the escrow of $8.0
million of the purchase price. In the event the summary judgment is later
overturned and a judgment is later entered against the pension funds managed by
J.P. Morgan Investments (or us as successor owner) rescinding the original
transaction whereby the pension funds managed by J.P. Morgan Investments
acquired their interest, the escrowed monies would be returned to us and we
would convey our property interest in the J.C. Martin Field to the plaintiff.

     Certain Bankruptcy Issues. Although the matter is not entirely free from
doubt, we believe that the Morgan Properties should constitute real property
interests under applicable state law. The conveyances state that the NPIs
constitute real property interests and were recorded in the appropriate real
property records of the states in which the Underlying Properties are located.
If, during the term of the NPIs, an assignor becomes involved as a debtor in
bankruptcy proceedings, it is not entirely clear that all of the NPIs would be
treated as real property interests under the laws of such states. If in such a
proceeding the NPIs are determined to constitute real property interests, a
bankruptcy proceeding should not affect the NPIs in any material respect. If in
such a proceeding the NPI's are determined to constitute an executory contract
(a term used, but not defined, in the United States Bankruptcy Code to refer to
a contract under which the obligations of both the debtor and the other party to
such contract are so unsatisfied that the failure of either to complete
performance would constitute a material breach excusing performance by the
other) under applicable state law, and if such contract were not to be assumed
in a bankruptcy proceeding involving an assignor, we would be treated as an
unsecured creditor of such assignor with respect to such NPI in the pending
bankruptcy. As a result, our economic interest in any revenues generated by
production from the Underlying Property could be reduced or even eliminated.




                                       10

<PAGE>   11

FINANCIAL REPORTING IMPACT OF FULL COST METHOD OF ACCOUNTING

     We use the full cost method of accounting for our investment in oil and
natural gas properties. Under the full cost method of accounting, all costs of
acquisition, exploration and development of oil and natural gas reserves are
capitalized into a "full cost pool" as such costs are incurred. As oil or
natural gas production takes place, the capitalized costs in the pool are
depleted using the unit-of-production method based on the ratio of current
production to total estimated proved oil and natural gas reserves. The resulting
depletion is charged to operations. To the extent that such capitalized costs
(net of accumulated depreciation, depletion and amortization) less deferred
taxes exceed the SEC PV-10 value of estimated future net cash flow from proved
reserves of oil and natural gas, and the lower of cost or fair value of unproved
properties after income tax effects, such excess costs are charged to
operations. Once incurred, a write-down of oil and natural gas properties is not
reversible at a later date even if oil or natural gas prices increase. At June
30, 1998, we recorded a write-down of our oil and natural gas properties of
$28.2 million. Significant downward revisions of quantity estimates or declines
in oil and natural gas prices from those in effect on June 30, 1998 which are
not offset by other factors could result in further write-downs for impairment
of oil and natural gas properties. Due to the decline in prices of oil and
natural gas from June 30, 1998 to December 31, 1998, we anticipate that there
will be a further material write-down of our oil and natural gas properties for
the quarter ended December 31, 1998. We are currently in the process of
quantifying the write-down.

ADVERSE EFFECTS OF COMPETITION

     The oil and natural gas market is highly competitive. Competition in this
market takes many forms, including:

     o    acquiring properties;

     o    marketing oil and natural gas;

     o    securing equipment and personnel; and

     o    operating properties.

     Our competitors include major oil companies, numerous independent oil and
natural gas companies, individual proprietors and others. Many of our
competitors have greater financial resources than we have and have been engaged
in the energy business for a much longer time than we have. We may not be able
to compete successfully with such competitors. Competition could prevent us from
acquiring properties at affordable prices. Therefore, competitors may be able to
pay more for desirable leases and to evaluate, bid for and purchase a greater
number of properties or prospects than our financial or personnel resources will
permit.

GOVERNMENT LAWS AND REGULATIONS

     General Federal and State Regulation

     The Company's oil and natural gas exploration, production and related
operations are subject to extensive rules and regulations promulgated by
federal, state and local agencies. Failure to comply with such rules and
regulations can result in substantial penalties. The regulatory burden on the
oil and natural gas industry increases the Company's cost of doing business and
affects our profitability. Because such rules and regulations are frequently
amended or reinterpreted, we are unable to predict the future cost or impact of
complying with such laws.


                                       11

<PAGE>   12

     The Federal Energy Regulatory Commission ("FERC") regulates interstate
natural gas transportation rates and service conditions, which affect the
revenues received by the Company for sales of its production. Since the
mid-1980s, FERC has issued a series of orders that have significantly altered
the marketing and transportation of natural gas. It is difficult to predict the
ultimate impact of the orders on the Company. Generally, these orders have
eliminated or substantially reduced the interstate pipelines' traditional role
as wholesalers of natural gas, and has substantially increased competition and
volatility in natural gas markets.

     From time to time, regulatory agencies have imposed price controls and
limitations on production by restricting the rate of flow of oil and natural gas
wells below natural production capacity in order to conserve supplies of oil and
natural gas.

     Environmental Regulation

     Our exploration, development and production of oil and natural gas,
including the operation of saltwater injection and disposal wells, are subject
to various federal, state and local environmental laws and regulations. Such
laws and regulations can increase the costs of planning, designing, installing
and operating oil and natural gas wells. We are also subject to regulations
governing the handling, transportation, storage and disposal of naturally
occurring radioactive materials that are found in our oil and natural gas
operations. Civil and criminal fines and penalties may be imposed for
non-compliance with these environmental laws and regulations. Additionally,
these laws and regulations require the acquisition of permits or other
governmental authorizations before undertaking certain activities, limit or
prohibit other activities because of protected wildlife areas or species, and
impose substantial liabilities for cleanup of pollution.

     Certain federal and state statutes, also known as "Superfund" laws, can
impose joint and several retroactive liability, without regard to fault or the
legality of the original conduct, on certain classes of persons for the release
of a "hazardous substance" into the environment. In practice, cleanup costs are
usually allocated among various responsible parties. Potentially liable parties
include site owners or operators, past owners or operators under certain
conditions, and entities that arrange for the disposal or treatment of, or
transport hazardous substances found at the site. Although the federal statute
currently exempts petroleum, including but not limited to, crude oil, natural
gas and natural gas liquids from the definition of hazardous substance, our
operations may involve the use or handling of other materials that may be
classified as hazardous substances. Furthermore, there can be no assurance that
the exemption will be preserved in future amendments of the statute, if any.

     Various statutes impose standards for the management, including treatment,
storage, and disposal of both hazardous and nonhazardous solid wastes. We
generate hazardous and nonhazardous solid waste in connection with our routine
operations. From time to time, proposals have been made that would reclassify
certain oil and natural gas wastes, including wastes generated during pipeline,
drilling, and production operations, as "hazardous wastes" which would make such
solid wastes subject to much more stringent handling, transportation, storage,
disposal, and clean-up requirements. This development could have a significant
impact on our operating costs. While state laws vary on this issue, state
initiatives to further regulate oil and natural gas wastes could have a similar
impact.

     Because oil and natural gas exploration and production, and possibly other
activities, have been conducted at some of our properties by previous owners and
operators, materials from these operations remain on some of the properties and
in some instances require remediation. In addition, we have agreed to indemnify
some sellers of producing properties from whom we have acquired reserves against
certain




                                       12

<PAGE>   13




liabilities for environmental claims associated with such properties. While we
do not believe that costs to be incurred by us for compliance and remediating
previously or currently owned or operated properties will be material, there can
be no guarantee that such costs will not result in material expenditures.

     Additionally, in the course of our routine oil and natural gas operations,
surface spills and leaks, including casing leaks, of oil or other materials
occur, and we incur costs for waste handling and environmental compliance.
Moreover, we are able to control directly the operations of only those wells for
which we act as the operator. Notwithstanding our lack of control over wells
owned by us but operated by others, we may be responsible for, in certain
circumstances, the failure of the operator to comply with the applicable
environmental regulations.

     We do not anticipate that we will be required in the near future to expend
amounts that are material in relation to our total capital expenditures program
by reason of environmental laws and regulations, but inasmuch as such laws and
regulations are frequently changed, we cannot predict the ultimate cost of
compliance. There can be no assurance that more stringent laws and regulations
protecting the environment will not be adopted or that we will not otherwise
incur material expenses in connection with environmental laws and regulations in
the future.

RISKS OF HEDGING ACTIVITIES

     In order to reduce our exposure to material fluctuations in the prices paid
for oil and natural gas, we have entered into and may in the future enter into
hedging contracts. While hedges can be structured in many different ways,
generally the hedges we enter into are intended to provide for "floors" (or
"caps" and "floors") on the prices paid for a set volume of production of oil or
natural gas over a set period of time. Our hedging contracts apply to only a
portion of our production and provide only limited price protection against
fluctuations in the oil and natural gas markets. If our reserves are not
produced at rates equivalent to the hedged position, we would be required to
satisfy our obligations under the hedging contracts on potentially unfavorable
terms without the ability to hedge that risk through sales of comparable
quantities of our own production. Further, the terms under which we enter into
hedging contracts are based on assumptions and estimates of numerous factors
such as cost of production and pipeline and other transportation costs to
delivery points. Substantial variations between the assumptions and estimates
and the actual results experienced could materially adversely affect our
anticipated profit margins and our ability to manage the risks associated with
fluctuations in oil and natural gas prices. See "-- Uncertainty of Estimates of
Proved Reserves and Future Net Revenues." Additionally, to the extent that we
enter into hedging contracts, we may be prevented from realizing the benefits of
price increases above the level of the hedges. Such hedging contracts are also
subject to the risk that the other party may prove unable or unwilling to
perform its obligations under such contracts. Any significant nonperformance
could have a material adverse effect on our financial condition and results of
operations.

SIGNIFICANT NUMBER OF AUTHORIZED BUT UNISSUED SHARES

     The Board of Directors has total discretion in the issuance of shares of
Common Stock and Preferred Stock which may be issued in the future. We are
authorized to issue 100,000,000 shares of Common Stock (31,906,226 shares were
issued and outstanding at December 31, 1998). We are also authorized to issue
50,000,000 shares of Preferred Stock (9,605,958 shares of preferred stock were
issued and outstanding at December 31, 1998).




                                       13
<PAGE>   14

POTENTIAL CONFLICTS OF INTEREST

     We have been, and continue to be, involved in various transactions with one
of our significant stockholders, Joint Energy Development Investments Limited
Partnership ("JEDI"). As of December 31, 1998, JEDI, an affiliate of Enron
Corp., owns 9,600,000 shares of the Company's Series A Participating Convertible
Preferred Stock, par value $0.01 per share (the "Series A Preferred Stock"),
warrants to acquire an aggregate of 2,748,649 shares of the Company's Common
Stock and 2,634,951 shares of Common Stock. In addition, upon the occurrence of
certain defaults under the Certificate of Designation governing the Series A
Preferred Stock, JEDI would have the right to appoint a majority of the
Company's Board of Directors. As the holder of a significant portion of the
Company's voting stock, JEDI, as well as its affiliates (including Enron Corp.),
may have the ability to exercise significant influence over the management of
the Company. Enron Corp. and certain of its subsidiaries and other affiliates
collectively participate in nearly all phases of the oil and natural gas
industry and are, therefore, competitors of the Company. Effective December 29,
1997, we entered into the ECT Revolving Credit Agreement with ECT, a
wholly-owned subsidiary of Enron Corp. We are also a party to certain commodity
hedging arrangements with a subsidiary of Enron Corp. In addition, Enron Corp.
and certain of its affiliates have provided, or assisted in providing, and may
in the future provide or assist in arranging, financing to or for non-affiliated
participants in the oil and natural gas industry who are or may become
competitors of the Company.

CONTROL BY CERTAIN STOCKHOLDERS

     As of December 31, 1998, the current officers and directors of the Company
as a group had a beneficial interest in or hold a proxy for approximately 19.7%
of the undiluted voting power, and JEDI had a beneficial interest in
approximately 29.5% of the undiluted voting power, of the Company's voting
equity. Consequently, these stockholders, if they decide to act together, will
be able exercise significant control over the Company through their ability to
determine the outcome of votes of stockholders regarding, among other things,
election of directors and approval of significant transactions.

DILUTIVE ISSUANCES AND IMPACT OF SHARES ELIGIBLE FOR FUTURE SALE

     The Company has issued shares of its Series C Preferred Stock and shares of
its Common Stock that have potentially dilutive "reset" rights. Holders of
Series C Preferred Stock have the right to convert their shares into shares of
Common Stock at a conversion price generally equal to the stated value of the
Series C Preferred Stock ($1,000 per share) divided by the average of the
closing bid prices for the Common Stock immediately preceding the conversion
date. Of the 10,400 shares of Series C Preferred Stock issued in December 1997,
as of January 15, 1999, 2,152 shares have been repurchased by the Company and
2,380 shares have been converted into 439,671 shares of Common Stock (including
accrued dividends at 5% per annum payable in shares of Common Stock) at a
weighted average price at conversion of $5.41 per share.

     Pursuant to two purchase agreements signed in July and November 1998, we
issued an aggregate of 3,845,240 shares of Common Stock. As part of those
issuances and in consideration for the original issuance price paid by the
investors, we agreed to protect the holders against declines in the price of
their Common Stock by granting them one repricing right for every share issued.
Each repricing right gives the holder a one-time right to require the Company to
issue additional shares without the payment of additional consideration by the
shareholders. Generally, subject to certain limitations, the number of
additional shares that will be issued when repricing rights are exercised by the
holder is determined by



                                       14

<PAGE>   15


multiplying the number of reset rights being exercised times the "repricing
rate." The repricing rate is determined by the following formula:

                        "repricing price" - market price
                        --------------------------------
                                  market price

The repricing price is determined by multiplying the original purchase price of
the share by a premium that rises to 128% over time. The repricing rights expire
upon exercise. As long as the market price exceeds the repricing price, the
Company is not required to issue any additional shares. Since the date the
holders of the July transaction were first able to exercise their reset rights,
a total of 814,619 shares of Common Stock have been issued through the date of
this Prospectus upon exercise of such rights.

     Because both the conversion provision of the Series C Preferred Stock and
the reset formula for the reset rights are based on the current bid price of the
Common Stock at the time of conversion or exercise, a significant number of
shares of Common Stock could be issued depending upon the market price of the
Common Stock.

     Future sales by existing stockholders could adversely affect the prevailing
market price of the Common Stock. As of January 12, 1999, the Company had
32,506,226 shares of Common Stock outstanding. In addition,

     o   9,600,000 shares of Common Stock are issuable upon conversion of our
         Series A Participating Convertible Preferred Stock,
     o   1,723,659 shares of Common Stock are issuable upon conversion of the
         Series C Preferred Stock (assuming a conversion price of $3.583 per
         share as of January 11, 1999),
     o   5,294,007 shares of Common Stock are issuable upon exercise of
         outstanding warrants,
     o   763,500 shares of Common Stock are issuable upon exercise of
         outstanding stock options, and
     o   3,695,713 shares could be issued upon exercise of the repricing rights
         (assuming a repricing price of $3.50 per share as of January 8, 1999).

FUTURE SALES OF COMMON STOCK

     Of the issued and outstanding shares of Common Stock, 27,625,033 are freely
tradeable without restriction or further registration under the Securities Act
and the shares of Common Stock issuable upon (i) conversion of the Series C
Preferred Stock, (ii) certain of the warrants, (iii) the options and (iv) the
repricing rights will be eligible for resale in the public marketplace pursuant
to Registration Statements filed by the Company. The remaining issued and
outstanding shares of Common Stock (4,881,193 shares) are "restricted shares."
Of these, 2,643,693 shares are held by affiliates of the Company and 346,242
shares were issued in private transactions. Certain stockholders who hold
"restricted securities" have previously been granted registration rights
entitling them to demand, in certain circumstances, that the Company register
the shares of Common Stock held by them for sale under the Securities Act. Sales
of substantial amounts of Common Stock in the public market, pursuant to Rule
144 or otherwise, or the availability of such shares for sale, could adversely
affect the prevailing market price of the Common Stock and impair the Company's
ability to raise additional capital through the sale of equity securities. See
"Shares Eligible for Future Sale."



                                       15

<PAGE>   16



DEPENDENCE ON KEY PERSONNEL

     We believe that our ability to successfully implement our business strategy
depends on the continued employment of Edward J. Munden, Chairman of the Board,
President and Chief Executive Officer, Robert P. Lindsay, Chief Operating
Officer and Executive Vice President, Ronald I. Benn, Chief Financial Officer
and Treasurer, Bruce I. Benn, Executive Vice President and Secretary, and other
key personnel, including V. Ed Butler, Vice President, Asset Management and
Ronald Idom, Vice President, Acquisitions. If any of these persons becomes
unable or unwilling to continue in their present positions, our business and
financial results could be materially adversely affected. The Company holds key
man insurance on the lives of each of Edward J. Munden, Robert P. Lindsay, Bruce
I. Benn and Ronald I. Benn. The Company also has employment agreements with each
of these officers (other than Mr. Idom) through 2002.

REPURCHASE OBLIGATIONS IN CONNECTION WITH PRIVATE EQUITY PLACEMENTS

     In connection with two recent private equity placements, we granted to the
buyers the right to require us to repurchase such buyer's shares of Common Stock
and rights to acquire additional shares of Common Stock after the occurrence of
certain major transactions or triggering events, including, without limitation,
certain consolidations or mergers, the sale or transfer of all or substantially
all of our assets, a tender offer for more than 40% of the outstanding shares of
Common Stock, and certain defaults by us under our covenants to the buyers. In
addition, in connection with two private placements of our Preferred Stock, we
granted to the buyers the right to require us to repurchase such buyer's shares
of Preferred Stock after the occurrence of certain defaults and other events. We
would be required to obtain the consent of the lenders under the Credit
Agreement and the ECT Revolving Credit Agreement and the consent of the holders
of the Company's 12 1/2% Senior Notes due 2008 (the "Notes") before repurchasing
such shares and rights. If we could not obtain such consents, we would be in
default under our agreements with the buyers, and such default could trigger
cross defaults under the Credit Agreement, the ECT Revolving Credit Agreement or
the Indenture governing the Notes (the "Indenture"). In addition, if we fail to
repurchase the shares of Common Stock and repricing rights as required, we could
be liable to the buyers for damages. See "Description of Capital Stock-- Private
Equity Placements --Put Rights of Buyers."

EFFECT OF CHANGE OF CONTROL

     The Indenture contains provisions that, under certain circumstances, will
cause the indebtedness to become due upon the occurrence of a change of control
(as defined in the Indenture) of the Company. If a change of control occurs, we
may not have the financial resources to repay this debt. These provisions could
also make it more difficult for a third party to acquire control of us.

PREFERRED STOCK; ANTI-TAKEOVER PROVISIONS

     The Common Stock is subordinate to all outstanding classes of Preferred
Stock of the Company in the payment of dividends and other distributions made
with respect to the stock, including distributions upon liquidation or
dissolution of the Company. The Board of Directors of the Company is authorized
to issue up to 30,789,600 additional shares of Preferred Stock (excluding
9,605,958 shares currently outstanding and 9,600,000 reserved for issuance in
exchange for shares of Series A Participating Convertible Preferred Stock)
without first obtaining stockholder approval except in limited circumstances.
The Board of Directors may establish the preferences and rights of any new
shares of Preferred Stock issued. These new shares may have dividend and
liquidation preference over the Common Stock and may, if convertible into Common
Stock, dilute the current stockholders percentage interests.



                                       16

<PAGE>   17

     Our Restated Certificate of Incorporation and Amended and Restated Bylaws
include certain provisions that may have the effect of discouraging persons
considering unsolicited tender offers or other unilateral takeover proposals.
These provisions include the Board of Directors' ability to issue additional
Common Stock and to issue, and determine the terms and provisions of, additional
Preferred Stock. The issuance of Preferred Stock may have the effect of delaying
or preventing someone taking control of us, even if a change of control were in
our stockholders' best interests. In certain circumstances the issuance of
Preferred Stock could depress the market price of the Common Stock.


                                 USE OF PROCEEDS

     We will not receive any proceeds from any sale of shares of Common Stock by
a Selling Stockholder (other than the exercise price payable upon the exercise
of any warrants issued to the Selling Stockholders in November 1998 (the
"Warrants")). Assuming the Warrants for the 100,000 shares of Common Stock (the
resale of which shares of covered by this Prospectus) are exercised through a
cash exercise we would receive an aggregate of up to $660,000 of proceeds. We
anticipate that we will use any such proceeds for general corporate purposes in
the execution of our business strategy.


                              SELLING STOCKHOLDERS

     This Prospectus covers offers and sales from time to time by each Selling
Stockholder of the Common Stock owned by such person and acquired in a private
placement of equity in November 1998. The Selling Stockholders currently hold
shares of Common Stock and will hold additional shares of Common Stock issued or
issuable upon the exercise of certain repricing rights (the "Repricing Rights")
and the Warrants. Pursuant to Rule 416 of the Securities Act, the Selling
Stockholders may also offer and sell shares of Common Stock issued as a result
of, among other events, stock splits, stock dividends and similar events. We
have prepared and filed the Registration Statement of which this Prospectus is a
part pursuant to a Registration Rights Agreement dated November 10, 1998,
entered into in connection with the original issuance of the Common Stock, the
Repricing Rights and the Warrants (the "Registration Rights Agreement").

     We issued the Common Stock, the Repricing Rights and the Warrants to the
Selling Stockholders pursuant to a Securities Purchase Agreement dated November
10, 1998 among the Company and certain of the Selling Stockholders (the
"November Purchase Agreement"). In exchange for aggregate cash consideration of
$2.5 million, we issued, to certain of the Selling Stockholders, an aggregate of
416,667 shares of Common Stock, Repricing Rights to acquire additional shares of
Common Stock and Warrants to purchase an aggregate of 50,000 shares of Common
Stock.

     In addition, we paid $187,500 cash and issued warrants to purchase 50,000
shares of the Company's Common Stock in consideration for Jesup & Lamont
Securities Corp. acting as a placement agent and Wellington Capital Corporation
acting as a consultant in connection with the private equity placement to
certain of the Selling Stockholders. The resale of the shares issuable upon the
exercise of these warrants are also covered by this Prospectus.

     We also issued rights to acquire an aggregate of 60,876 shares of Common
Stock to certain of the Selling Stockholders to obtain their participation.
These rights were exercised immediately after they were granted. The resale of
these shares are also covered by this Prospectus.



                                       17

<PAGE>   18



     The following table lists the name of each Selling Stockholder, the number
of shares of Common Stock owned by each Selling Stockholder before this offering
(the "Offering"), the number of shares of Common Stock that may be offered by
each Selling Stockholder pursuant to this Prospectus and the number of shares of
Common Stock to be owned by each Selling Stockholder upon completion of the
Offering if all shares registered for resale hereby are sold. None of the
Selling Stockholders has held any position or office or had any other material
relationship with us in the last three years, other than in connection with the
Company's private placement of equity in July 1998. See "Description of Capital
Stock - Private Equity Placements." The information below is as of December 31,
1998 and has been furnished by the respective Selling Stockholders. Under the
terms of the November Purchase Agreement beginning on March 25, 1998 the
Repricing Rights may be exercised for shares of Common Stock (the "Repricing
Shares"). Because the number of Repricing Shares issuable is determined in part
upon the market price of the Common Stock prior to the determination of the
repricing rate pursuant to the repricing rate mechanism, the Registration Rights
Agreement among the Company and the Selling Stockholders requires us to register
for resale 833,333 shares of Common Stock (which represents 200% of the shares
issuable upon exercise of Repricing Rights). The number of shares covered by
this Prospectus represents the 416,667 shares of Common Stock originally issued
to the Selling Stockholders under the November Purchase Agreement, plus (i)
50,000 shares issuable upon exercise of the Warrants, (ii) 833,333 shares
issuable upon exercise of the Repricing Rights, (iii) 50,000 shares issuable
upon exercise of warrants issued to Jesup & Lamont Securities Corp. and
Wellington Capital Corporation, and (iv) 60,876 shares issued upon exercise of
rights granted to certain of the Company's stockholders.

<TABLE>
<CAPTION>
                                                                           NUMBER OF SHARES
                                                                          OWNED BEFORE THIS
                                                       NUMBER OF SHARES  OFFERING PLUS SHARES  NUMBER OF SHARES   NUMBER OF SHARES
                     NAME OF                          OWNED BEFORE THIS    FOR THE REPRICING    BEING REGISTERED   OWNED AFTER THIS
              SELLING STOCKHOLDER                        OFFERING (1)          RIGHTS (2)          FOR RESALE         OFFERING (4)
              -------------------                     -----------------  --------------------  -----------------  -----------------

<S>                                                   <C>                <C>                   <C>                <C>       
Dominion Capital Fund Ltd. .......................           197,749              953,513           661,487(3)           292,026   
Sovereign Partners L.P. ..........................           732,848            1,149,515           661,486(3)           488,030   
JNC Opportunity Fund Ltd. ........................         1,450,116            3,974,672            27,911(3)         3,946,761   
Diversified Strategies Fund, L.P. ................            36,317               96,040               804(3)            95,236   
KA Investments LDC ...............................           484,286            1,457,236             9,189(3)         1,448,047   
Jesup & Lamont Securities Corp. ..................           220,000              220,000            20,000              200,000   
Wellington Capital Corporation ...................           163,334              163,334            30,000              133,334   
                                                           ---------            ---------         ---------            ---------

         TOTAL ...................................         3,284,650            8,014,310         1,410,877            6,603,434   
</TABLE>
                                                                                
- ----------------

(1)     Represents the shares currently held by such holder plus the shares
        currently issuable to such holder upon exercise of warrants to purchase
        shares of the Company's Common Stock.
(2)     Represents (i) the shares currently held by such holder, (ii) the shares
        currently issuable to such holder upon exercise of warrants to purchase
        shares of the Company's Common Stock, (iii) 150% of the shares currently
        issuable to such holder upon exercise of the repricing rights under the
        July Purchase Agreement (computed assuming a repricing price of $3.50 as
        of January 8, 1999), and (iv) as of November 10, 1998, 200% of the
        shares issuable to such holder upon exercise of the Repricing Rights
        granted under the November Purchase Agreement.
(3)     Represents (i) the shares of Common Stock issued pursuant to the
        November Purchase Agreement, (ii) the shares currently issuable upon
        exercise of the warrants issued under the November Purchase Agreement
        and (iii) as of November 10, 1998, 200% of the shares issuable to such
        holder upon exercise of the Repricing Rights granted under the November
        Purchase Agreement (computed without regard to the covenants in the
        November Purchase Agreement limiting the number of shares of Common
        Stock that any individual holder may beneficially own). 
(4)     Assumes all shares registered under this Registration Statement will be
        offered and sold. The shares owned after this Offering include the
        shares acquired by the Selling Stockholders under the July Purchase
        Agreement, which shares are registered pursuant to the Company's
        Registration Statement on Form S-3 (No. 333-61375).



                                       18

<PAGE>   19

                          DESCRIPTION OF CAPITAL STOCK

     Our authorized capital consists of 100,000,000 shares of Common Stock and
50,000,000 shares of Preferred Stock. At December 31, 1998, we had (i)
31,906,226 shares of Common Stock outstanding, (ii) 9,600,000 shares of Series A
Participating Convertible Preferred Stock (the "Series A Preferred Stock")
outstanding, (iii) no shares of Series B Participating Convertible Preferred
Stock (the "Series B Preferred Stock") issued or outstanding and (iv) 5,958
shares of Series C Convertible Preferred Stock (the "Series C Preferred Stock")
outstanding.

COMMON STOCK

     The holders of shares of Common Stock possess full voting power for the
election of directors and for all other purposes, each holder of Common Stock
being entitled to one vote for each share of Common Stock held of record by such
holder. The shares of Common Stock do not have cumulative voting rights.

     As described below, the holders of Series A Preferred Stock are generally
entitled to vote (on an as-converted basis) as a single class with the holders
of the Common Stock, together with all other classes and series of stock of the
Company that are entitled to vote as a single class with the Common Stock, on
all matters coming before the Company's stockholders. Holders of a majority of
the shares of Common Stock and Series A Preferred Stock represented at a meeting
may approve most actions submitted to the stockholders except for certain
corporate actions (e.g. mergers, sale of assets and charter amendments) which
require the approval of holders of a majority of the total outstanding shares of
Common Stock and the Series A Preferred Stock or other matters that require a
class vote of the Preferred Stock.

     Subject to the right of holders of any outstanding shares of Preferred
Stock, dividends may be paid on the Common Stock as and when declared by the
Company's Board of Directors out of any funds of the Company legally available
for the payment thereof. Holders of Common Stock have no subscription,
redemption, sinking fund, conversion or preemptive rights. The outstanding
shares of Common Stock are fully paid and nonassessable. After payment is made
in full to the holders of any outstanding shares of Preferred Stock in the event
of any liquidation, dissolution or winding up of the affairs of the Company, the
remaining assets and funds of the Company will be distributed to the holders of
Common Stock according to their respective shares.

PREFERRED STOCK

General

     The Board of Directors may, without further action by the Company's
stockholders (subject to the terms of the Series A Preferred Stock and the
Series C Preferred Stock described below), from time to time, direct the
issuance of fully authorized shares of Preferred Stock, in classes or series and
may, at the time of issuance, determine the powers, rights, preferences and
limitations of each class or series. Satisfaction of any dividend preferences on
outstanding shares of Preferred Stock would reduce the amount of funds available
for the payment of dividends on Common Stock. Also, holders of Preferred Stock
would be entitled to receive a preference payment in the event of any
liquidation, dissolution or winding up of the Company before any payment is made
to the holders of Common Stock. Under certain circumstances, the issuance of
such Preferred Stock may render more difficult or tend to discourage a merger,
tender offer



                                       19

<PAGE>   20



or proxy contest, the assumption of control by a holder of a large block of the
Company's securities or the removal of incumbent management.

Description of Series A Preferred Stock

     General. The Certificate of Designation of the Series A Preferred Stock
authorizes the issuance of up to 9,600,000 shares of Series A Preferred Stock.

     Voting. The holders of shares of Series A Preferred Stock are generally
entitled to vote (on an as-converted basis) together with the holders of the
Common Stock, together with all other classes and series of stock of the Company
that are entitled to vote as a single class with the Common Stock, on all
matters coming before the Company's stockholders. In any vote with respect to
which the Series A Preferred Stock shall vote with the holders of Common Stock
as a single class, each share of Series A Preferred Stock shall entitle the
holder thereof to cast the number of votes equal to the number which could be
cast in such vote by a holder of the number of shares of Common Stock into which
such shares of Series A Preferred Stock is convertible on the date of such vote.
With respect to any matter for which class voting is required by law or the
Company's Restated Certificate of Incorporation, except as otherwise described
herein, the holders of the Series A Preferred Stock will vote as a class and
each holder shall be entitled to one vote for each share held. For so long as at
least 960,000 shares of Series A Preferred Stock are outstanding, the following
matters will require the approval of a majority of the holders of shares of
Series A Preferred Stock, voting together as a separate class:

         (i) the amendment of any provision of the Company's Restated
     Certificate of Incorporation or bylaws;

         (ii) the creation, authorization or issuance, or the increase in the
     authorized amount of, any class or series of shares ranking on a parity
     with or prior to the Series A Preferred Stock either as to dividends or
     upon liquidation, dissolution or winding up;

         (iii) the merger or consolidation of the Company with or into any other
     corporation or other entity or the sale of all or substantially all of the
     Company's assets; or

         (iv) the reorganization, recapitalization, or restructuring or similar
     transaction that requires the approval of the stockholders of the Company.

     Election of Directors. The holders of shares of Series A Preferred Stock
have the right, acting separately as a class, to elect a number of members to
the Company's Board of Directors in proportion to the percentage of the
outstanding voting power represented by the Series A Preferred Stock (currently,
such holders have the right to elect two directors). As of the date hereof, the
sole holder has not elected to exercise its right to elect directors to the
Company's Board of Directors.

     Conversion. A holder of shares of Series A Preferred Stock has the right,
at the holder's option, to convert all or a portion of its shares into shares of
Common Stock at any time at an initial rate, subject to antidilution
adjustments, of one share of Series A Preferred Stock for one share of Common
Stock.

     Concurrently with the transfer of any shares of Series A Preferred Stock to
any person (other than a direct or indirect affiliate of JEDI or other entity
managed by Enron Corp. or any of its affiliates), the shares of Series A
Preferred Stock so transferred will automatically convert into a like number of
shares of Series B Preferred Stock.



                                       20

<PAGE>   21



     Dividends. The holders of the shares of Series A Preferred Stock are
entitled to receive dividends, when, and as if declared by the Board of
Directors, out of funds legally available therefor, any dividend (other than a
dividend or distribution paid in shares of, or warrants, rights or options
exercisable for or convertible into or exchangeable for, Common Stock) payable
on the Common Stock, as and when paid, in an amount equal to the amount each
such holder would have received if such holder's shares of Series A Preferred
Stock had been converted into Common Stock immediately prior to the record date,
or if there is no record date, the date of payment thereof. The holders of
Series A Preferred Stock will also have the right to certain dividends upon and
during the continuance of an Event of Default (as described below).

     Liquidation. Upon the liquidation, dissolution or winding up of the
Company, the holders of the shares of Series A Preferred Stock, before any
distribution to the holders of Common Stock, will be entitled to receive an
amount per share equal to (a) $0.521 plus (b) all accrued and unpaid dividends
thereon ("Series A Liquidation Preference"). The holders of the shares of Series
A Preferred Stock will not be entitled to participate further in the
distribution of the assets of the Company.

     Events of Default; Remedies. The Certificate of Designation of the Series A
Preferred Stock provides that an Event of Default will be deemed to have
occurred if the Company fails to comply with any of its covenants in the
Securities Purchase Agreement, dated as of March 27, 1997, between the Company
and JEDI; provided, that the Company will have a 30-day cure period with respect
to the non-compliance with certain covenants.

     Upon the occurrence but only during the continuance of an Event of Default,
the holders of Series A Preferred Stock will be entitled to receive, in addition
to other dividends payable to holders of Series A Preferred Stock, when, as, and
if declared by the Board of Directors, out of funds legally available therefor,
cumulative preferential cash dividends accruing from the date of the Event of
Default in an amount per share per annum equal to 6% of the Series A Liquidation
Preference in effect at the time of accrual of such dividends, payable quarterly
in arrears on or before the 15th day after the last day of each calendar quarter
during which such dividends are payable. Unless full cumulative dividends
accrued on shares of Series A Preferred Stock have been or contemporaneously are
declared and paid, no dividend may be declared or paid or set aside for payment
on the Common Stock or any other junior securities (other than a dividend or
distribution paid in shares of, or warrants, rights or options exercisable for
or convertible into or exchangeable for, Common Stock or any other junior
securities), nor shall any Common Stock nor any other junior securities be
redeemed, purchased or otherwise acquired for any consideration nor may any
monies be paid to or made available for a sinking fund for the redemption of any
shares of any such securities.

     Upon the occurrence and during the continuance of an Event of Default
resulting from the failure to comply with certain covenants, the holders of
shares of Series A Preferred Stock will have the right, acting separately as a
class, to elect a number of persons to the Board of Directors of the Company,
that along with any members of the Board of Directors who are serving at the
time of such action, will constitute a majority of the Board of Directors.

     Upon the occurrence of an Event of Default resulting from the failure to
comply with certain covenants, each holder of shares of Series A Preferred Stock
will have the right, by written notice to the Company, to require the Company to
repurchase, out of funds legally available therefor, such holder's shares of
Series A Preferred Stock for an amount in cash equal to the Series A Liquidation
Preference in effect at the time of the Event of Default.



                                       21

<PAGE>   22



Description of Series B Preferred Stock

     The Certificate of Designation of the Series B Preferred Stock authorizes
the issuance of up to 9,600,000 shares of Series B Preferred Stock. The terms of
the Series B Preferred Stock are substantially similar to those of the Series A
Preferred Stock except that the holders of Series B Preferred Stock will not (i)
have class voting rights except as required under Delaware corporate law, (ii)
be entitled to any remedies upon an event of default or (iii) be entitled to
elect any directors of the Company, voting separately as a class.

Description of Series C Preferred Stock

     General. The Certificate of Designation of the Series C Preferred Stock
(the "Series C Certificate of Designation") authorizes the issuance of up to
10,400 shares of Series C Preferred Stock.

     Voting. The holders of shares of Series C Preferred Stock are not entitled
to vote with the holders of the Common Stock except as required by law or as set
forth below. For so long as any shares of Series C Preferred Stock are
outstanding, the following matters will require the approval of the holders of
at least two-thirds of the then outstanding shares of Series C Preferred Stock,
voting together as a separate class:

         (i) alter or change the rights, preferences or privileges of the Series
     C Preferred Stock or any other capital stock of the Company so as to affect
     adversely the Series C Preferred Stock;

         (ii) create any new class or series of capital stock having a
     preference over or ranking pari passu with the Series C Preferred Stock as
     to redemption, the payment of dividends or distribution of assets upon a
     Liquidation Event (as defined in the Series C Certificate of Designation)
     or any other liquidation, dissolution or winding up of the Company;

         (iii) increase the authorized number of shares of Preferred Stock of
     the Company;

         (iv) re-issue any shares of Series C Preferred Stock which have been
     converted in accordance with the terms hereof;

         (v) issue any Senior Securities (other than the Company's Series B
     Preferred Stock pursuant to the terms of the Company's Series A Preferred
     Stock) or Pari Passu Securities (each, as defined in the Series C
     Certificate of Designation); or

         (vi) declare, pay or make any provision for any dividend or
     distribution with respect to the Common Stock or any other capital stock of
     the Company ranking junior to the Series C Preferred Stock as to dividends
     or as to the distribution of assets upon liquidation, dissolution or
     winding up of the Company.

     In the event that the holders of at least two-thirds ( 2/3) of the then
outstanding shares of Series C Preferred Stock agree to allow the Company to
alter or change the rights, preferences or privileges of the shares of Series C
Preferred Stock pursuant to the terms hereof, or to waive any rights of the
holders hereunder, then the Company will deliver notice of such approved change
to the holders of the Series C Preferred Stock that did not agree to such
alteration or change (the "Dissenting Holders") and the Dissenting Holders shall
have the right for a period of thirty (30) days following such delivery to
convert their Series C Preferred Stock pursuant to the terms of the Series C
Preferred Stock as they existed prior to such alteration or change, or to
continue to hold such shares. No such change shall be effective to the



                                       22

<PAGE>   23



extent that, by its terms, it applies to less than all of the holders of Series
C Preferred Stock then outstanding.

     Conversion. Subject to certain limitations set forth in the Series C
Certificate of Designation, a holder of shares of Series C Preferred Stock has
the right, at the holder's option, to convert all or a portion of its shares
into shares of Common Stock at any time. The number of shares of Common Stock
into which a share of Series C Preferred Stock may be converted will be
determined as of the conversion date according to a formula set forth in the
Series C Certificate of Designation. The conversion rate is equal to the
aggregate stated value of the shares to be converted divided by a floating
conversion price that is the lesser of (i) $7.35 and (ii) (A) the average of the
three lowest closing bid prices for the Common Stock during the 10 trading days
prior to the conversion date if the average daily trading volume for the Common
Stock on the Nasdaq SmallCap Market during the calender month of the conversion
date is equal to or greater than $540,000, or (B) the three lowest closing bid
prices for the Common Stock during the 20 days trading days prior to the
conversion date if the average daily trading volume for the Common Stock on the
Nasdaq SmallCap Market during the calender month of the conversion date is equal
to or greater than $360,000 but less than $540,000, or (C) the lowest closing
bid price for the Common Stock during the 15 trading days prior to the
conversion date if the average daily trading volume for the Common Stock on the
Nasdaq SmallCap Market during the calender month of the conversion date is less
than $360,000. By way of example only, if the effective conversion price was
$6.00 per share, each share of Series C Preferred Stock would be convertible
into approximately 167 shares of Common Stock (or 994,986 shares if all
outstanding shares of Series C Convertible Preferred Stock were converted). If
the effective conversion price was $4.00 per share, each share of Series C
Preferred Stock would be convertible into approximately 250 shares of Common
Stock (or 1,489,500 shares if all outstanding shares of Series C Preferred Stock
were converted). If the Company fails to deliver shares of Common Stock to a
holder following a conversion in accordance with the Series C Certificate of
Designation, then the Company will be liable to the holder for certain cash
default payments set forth in the Series C Certificate of Designation.

     On December 24, 2001, all shares of Series C Preferred Stock that are then
outstanding shall be automatically converted into the number of shares of Common
Stock determined in accordance with the formula set forth in the Series C
Certificate of Designation.

     The Series C Certificate of Designation provides for customary adjustments
to the number of shares issuable upon conversion in the event of certain
dividends and distributions to holders of Common Stock, certain
reclassifications of the Common Stock, stock splits, combinations and mergers
and similar transactions and certain changes of control.

     Dividends. The holders of the shares of Series C Preferred Stock are
entitled to receive dividends, when, and as if declared by the Board of
Directors, out of funds legally available therefor, subject to the prior payment
of any accumulated and unpaid dividends to holders of Senior Securities, but
before payment of dividends to holders of Junior Securities (as defined in the
Series C Certificate of Designation), cumulative dividends on each share of
Series C Preferred Stock in an amount equal to the stated value of such share
multiplied by 5%.

     Liquidation. Upon the liquidation, dissolution or winding up of the
Company, the holders of the shares of Series C Preferred Stock, before any
distribution to the holders of Junior Securities, and after payment to holders
of Senior Securities, will be entitled to receive an amount equal to the stated
value of the Series C Preferred Stock (subject to ratable adjustment in the
event of reclassification of the Series C Preferred Stock or other similar
event) plus any accrued and unpaid dividends thereon.



                                       23

<PAGE>   24



     Optional Redemption. The Company has the right to redeem all of the
outstanding Series C Preferred Stock at a price equal to the Liquidation
Preference of the Series C Preferred Stock then held by the holder divided by
80% ("Optional Redemption Price"), to the extent permitted by law and so long as
(i) the Company has sufficient cash available at the time; (ii) the Company
delivers written notice at least thirty trading days' prior to the redemption,
specifying both the date of the redemption and the amount payable to the holder;
and (iii) the Common Stock is actively traded on the NASDAQ Stock Market, the
New York Stock Exchange or the American Stock Exchange.

     Mandatory Redemption. The Series C Certificate of Designation provides for
mandatory redemption by the Company when a Mandatory Redemption Event (as
defined in the Series C Certificate of Designation) occurs.

     Upon the occurrence of a Mandatory Redemption Event, each holder of Series
C Preferred Stock will have the right to require the Company to redeem its
Series C Preferred Stock at a redemption price equal to the greater of (i) the
Liquidation Preference of the Series C Preferred Stock being redeemed multiplied
by 125% and (ii) an amount determined by dividing the Liquidation Preference of
the Series C Preferred Stock being redeemed by the conversion price in effect on
the mandatory redemption date and multiplying the resulting quotient by the
average closing bid price for the Common Stock on the 5 trading days preceding
the mandatory redemption date ("Mandatory Redemption Price").

     If the Mandatory Redemption Price is not paid within five business days of
the redemption date and the holder has tendered its Series C Preferred Stock to
the Company, the holder is entitled to interest thereon, from the redemption
date until the Mandatory Redemption Price has been paid in full.

     If the Mandatory Redemption Price is not paid within ten business days of
the redemption date, each holder of shares of Series C Preferred Stock will have
the right, by written notice to the Company, to require the Company to issue, in
lieu of the Mandatory Redemption Price, the number of shares of Common Stock of
the Company equal to the Mandatory Redemption Price divided by the conversion
price in effect on such conversion date as specified by the holder, with the
conversion price to be reduced by 1% for each day beyond the 10th business day
in which the Company fails to pay the Mandatory Redemption Price, but with the
maximum reduction of the conversion price to be 50%.

PRIVATE EQUITY PLACEMENTS

     General. The Company recently completed two private equity placements. In
the first placement, pursuant to the Amended and Restated Securities Purchase
Agreement dated July 8, 1998 among the Company and the buyers named therein (the
"July Purchase Agreement"), the Company issued to the buyers (i) 2,357,144
shares of the Company's Common Stock on July 8, 1998 and issued an additional
1,071,430 shares of the Company's Common Stock on July 20, 1998, (ii) certain
repricing rights to acquire additional shares of Common Stock and (iii) warrants
to purchase an aggregate of up to 605,000 shares of Common Stock. The aggregate
gross consideration for the issuances was $24 million, $16.5 million of which
was received by the Company on July 8, 1998 and $7.5 million of which was
received by the Company on July 20, 1998. The Company also agreed to register
for resale the Common Stock issued or issuable pursuant to the terms of a
Registration Rights Agreement dated as of July 8, 1998.

     In addition, pursuant to the November Purchase Agreement, on November 24,
1998, the Company issued to the buyers (i) 416,667 shares of Common Stock, (ii)
certain repricing rights to acquire additional shares of Common Stock and (iii)
warrants to purchase 50,000 shares of Common Stock. The Company



                                       24

<PAGE>   25



also agreed to register for resale the Common Stock issued or issuable pursuant
to a Registration Rights Agreement dated November 10, 1998.

     Set forth below is a description of the terms of the repricing rights as
well as certain other provisions contained in both the July Purchase Agreement
and the November Purchase Agreement. Initially capitalized terms used but not
defined in this section "Private Equity Placements" have the meanings ascribed
to such terms in the July Purchase Agreement and the November Purchase Agreement
filed as Exhibits to this Registration Statement on Form S-3.

     Repricing Rights. Pursuant to the July Purchase Agreement and the November
Purchase Agreement, the Company granted certain Repricing Rights to the Buyers,
pursuant to which each of the Buyers (or their permitted assignees or
successors) may exercise its Repricing Rights and acquire shares of Common Stock
in accordance with the following formula (the "Repricing Rate"):

                        (Repricing Price -- Market Price)
                        ---------------------------------
                                  Market Price

     The "Repricing Price" means, (i) during the period beginning on and
including the date which is 121 days after the Closing Date and ending on and
including the date which is 150 days after the Closing Date, 124% of the
Purchase Price, (ii) during the period beginning on and including the date which
is 151 days after the Closing Date and ending on and including the date which is
180 days after the Closing Date, 125% of the Purchase Price, (iii) during the
period beginning on and including the date which is 181 days after the Closing
Date and ending on and including the date which is 210 days after the Closing
Date, 126% of the Purchase Price, (iv) during the period beginning on and
including the date which is 211 days after the Closing Date and ending on and
including the date which is 240 days after the Closing Date, 127% of the
Purchase Price and (v) after the date which is 240 days after the Closing Date,
128% of the Purchase Price.

     The "Market Price" means, as of any date of determination, the lowest
closing bid price during the fifteen consecutive trading days immediately
preceding such date of determination.

     The Repricing Rate is multiplied by the number of Common Shares the Buyer
has chosen to reprice in order to determine the number of shares to be issued to
the Buyer.

     If the Company fails to issue a stock certificate for the number of shares
of Common Stock to which the holder is entitled or to credit the holder's
balance account with The Depository Trust Company for such number of shares of
Common Stock to which the holder is entitled upon such holder's exercise of the
Repricing Rights within three trading days after the Company's or the transfer
agent's receipt of the exercise notice, the Company shall pay damages to such
holder on each day after the third trading day that such exercise is not
effected. The amount of damages shall equal 0.5% of the product of (i) the sum
of the number of shares of Common Stock not issued to the holder on a timely
basis and (ii) the closing bid price of the Common Stock on the last possible
date which the Company could have issued such Common Stock without violating its
delivery requirements. In addition, if the Buyer to whom the Company has failed
to timely deliver the shares is forced to purchase other outstanding shares of
Common Stock of the Company in order to cover a sale order by such Buyer (a
"Buy-In"), then the Company will be required to pay to such Buyer the positive
difference between the price at which the Buyer bought its covering shares and
the sale price in respect of the shares sold by it.



                                       25

<PAGE>   26



     The right of a holder of Repricing Rights to exercise such Repricing Rights
is limited as set forth below.

         (i) Without the prior written consent of the Company, a holder of
     Repricing Rights shall not be entitled to exercise an aggregate number of
     Repricing Rights in excess of the number of Repricing Rights which when
     divided by the number of Repricing Rights purchased by such holder would
     exceed (A) 0.00 for the period beginning on the Closing Date and ending on
     and including the 120th day thereafter, (B) 0.25 for the period beginning
     on the 121st day after the Closing Date and ending on and including the
     150th day after the Closing Date, (C) 0.50 for the period beginning on and
     including the 151st day after the Closing Date and ending on and including
     the 180th day after the Closing Date, (D) 0.75 for the period beginning on
     the 181st day after the Closing Date and ending on and including the 210th
     day after the Closing Date, and (E) 1.00 for the period beginning on and
     including the 211th day after the Closing Date. This exercise restriction
     shall cease to apply if a Major Transaction (as defined below) or
     Triggering Event (as defined below) shall have occurred or been publicly
     announced or if a registration statement meeting the requirements of the
     Registration Rights Agreement shall not have been declared effective by the
     120th day after the Closing Date.

         (ii) As more fully described in the July Purchase Agreement and the
     November Purchase Agreement, a holder of Repricing Rights shall not be
     entitled to exercise Repricing Rights in excess of that number of Repricing
     Rights which, upon giving effect to such exercise, would cause the
     aggregate number of shares of Common Stock beneficially owned by the holder
     and its affiliates to exceed 4.99% of the outstanding number of shares of
     the Common Stock following such exercise. Such restriction is waivable by a
     holder upon at least 61 days notice.

     In addition to the exercise restrictions, a Buyer's right to exercise its
Repricing Right terminates automatically on the earlier to occur of (i) if the
Initial Common Share with respect to which such Repricing Right was acquired is
sold prior to the date which is 121 days after the date on which such Repricing
Right was acquired, (ii) if the Initial Common Share with respect to which such
Repricing Right was acquired is sold on or after the date which is 121 days
after the Closing Date on which such Repricing Right was acquired at a price
equal to or greater than the Repricing Price in effect on the date of such sale,
(iii) on the date immediately following the date which is one year after the
date of the sale of the Initial Common Share with respect to which such
Repricing Right was acquired and (iv) if the Buyer elects to terminate the
Repricing Right in lieu of the Company repurchasing such Buyer's related Initial
Common Share.

Company Repurchase Rights. Pursuant to the July Purchase Agreement and the
November Purchase Agreement, the Company may elect to repurchase Repricing
Rights exercised in lieu of issuing Repricing Common Shares upon such exercise
if the average closing bid price of the Common Stock for the five day trading
period immediately preceding the exercise date of the Repricing Rights is not
greater than $5.30. The repurchase price per Repricing Right shall be equal to
the product of (i) the Repricing Rate of the Repricing Right on the exercise
date and (ii) the last reported sale price of the Common Stock on the exercise
date.

     Pursuant to the July Purchase Agreement and the November Purchase
Agreement, the Company may also elect to repurchase any or all of the Common
Shares issued to the Buyers and the Repricing Rights associated with such Common
Shares at any time prior to the Repricing Rights being exercised. The repurchase
price per Repricing Right shall be an amount per Common Share and associated
Repricing Right equal to (i) 124% of the Purchase Price, if the repurchase date
is prior to the date which is 120 days



                                       26

<PAGE>   27



after the Closing Date and (ii) 128% of the Purchase Price, if the repurchase
date is on or after the date which is 120 days after the Closing Date.

Put Rights of Buyers. Pursuant to the July Purchase Agreement and the November
Purchase Agreement, each holder of Common Shares or Repricing Rights, has the
right to require the Company to repurchase all or a portion of such holder's
Common Shares or Repricing Rights upon the occurrence of a Major Transaction or
a Triggering Event. The repurchase price is equal to (i) for each Common Share
with an associated Repricing Right, the greater of (A) 130% of the Purchase
Price and (B) the sum of (I) the Purchase Price and (II) the product of (x) the
Repricing Rate of the Repricing Right on the date of such holder's delivery of a
notice of repurchase and (y) the last reported sale price of the Common Stock on
the delivery date of a notice of repurchase, (ii) for each Repricing Right
without the associated Common Share, the product of (A) the Repricing Rate of
the Repricing Right on the date such holder's delivery of a notice of repurchase
and (B) the last reported sale price of the Common Stock on the date of such
holder's delivery of notice of repurchase and (iii) for each Common Share
without an associated Repricing Right, 130% of the Purchase Price.

     A "Major Transaction" is deemed to have occurred at such time as any of the
following events:

         (i) the consolidation, merger or other business combination of the
     Company with or into another person (other than (A) a consolidation, merger
     or other business combination in which holders of the Company's voting
     power immediately prior to the transaction continue after the transaction
     to hold, directly or indirectly, the voting power of the surviving entity
     or entities necessary to elect a majority of the members of the board of
     directors (or their equivalent if other than a corporation) of such
     surviving entity or entities, or (B) pursuant to a migratory merger
     effected solely for the purpose of changing the jurisdiction of
     incorporation of the Company);

         (ii) the sale or transfer of all or substantially all of the Company's
     assets; or

         (iii) a purchase, tender or exchange offer made to and accepted by the
     holders of more than 40% of the outstanding shares of Common Stock.

     A "Triggering Event" is deemed to have occurred at such time as any of the
following events:

         (i) a registration statement in respect of the resale of the Common
     Shares, Repricing Common Shares and Warrant Common Shares (the "Resale
     Registration Statement") has not been deemed effective by the Securities
     and Exchange Commission (the "SEC") on or prior to the 210th day after the
     Closing Date;

         (ii) during the Effectiveness Period the effectiveness of the Resale
     Registration Statement lapses for any reason or is unavailable for sale of
     the Registrable Securities (as defined in the Registration Rights
     Agreement) in accordance with the terms of the Registration Rights
     Agreement, and such lapse or unavailability continues for a period of ten
     trading days in aggregate (excluding any "blackout" periods permitted by
     the terms of the Registration Rights Agreement);

         (iii) the Common Stock is suspended from listing or is delisted from
     The Nasdaq SmallCap Market or on any subsequent market for a period of five
     consecutive days, unless such delisting is due to the Company having the
     Common Stock relisted on a subsequent market within such five day period;



                                       27

<PAGE>   28



         (iv) the Company notifies any holder of Repricing Rights, including by
     way of public announcement, at any time, of its intention not to comply or
     inability to comply with proper requests for exercise of any Repricing
     Rights into shares of Common Stock;

         (v) the Company fails to deliver shares of Common Stock pursuant to the
     exercise of Repricing Rights within ten days of an exercise date or to pay
     the amount due in respect of a Buy-In within ten days after notice of such
     Buy-In is delivered to the Company;

         (vi) the Company is not required to issue any Repricing Common Shares
     pursuant to the exercise of Repricing Rights due to certain restrictions
     imposed under the rules and regulations of The Nasdaq Stock Market or the
     Company is otherwise unable to issue shares of Common Stock upon delivery
     of an exercise notice for any reason;

         (vii) if stockholder approval of the issuance of the securities is
     required, the Company's stockholders fail to approve the issuance of the
     shares of Common Stock upon the exercise of Repricing Rights within 135
     days of a Proxy Statement Trigger Date;

         (viii) the Company breaches any representation, warranty, covenant or
     other material term or condition of the July Purchase Agreement or the
     November Purchase Agreement, as the case may be, the Warrants, the
     Registration Rights Agreement or the irrevocable transfer agent
     instructions or any other agreement, document, certificate or other
     instrument delivered in connection with the transactions contemplated
     thereby or hereby, and such breach, if curable, continues for a period of
     at least ten days after written notice thereof to the Company; or

         (ix) a voluntary or involuntary case or proceeding is commenced by or
     against the Company or a subsidiary under any applicable federal or state
     bankruptcy, insolvency, reorganization or other similar proceeding
     (excluding any involuntary proceeding that is dismissed within thirty days
     of the filing thereof).

     At any time after receipt of a notice from the Company that a Major
Transaction is to occur (or, in the event a notice is not delivered at least ten
days prior to a Major Transaction), any holder of Common Shares, Repricing
Common Shares or Repricing Rights then outstanding may require the Company to
repurchase all or a portion of the holder's Common Shares, Repricing Common
Shares or Repricing Rights. At any time after the earlier of a holder's receipt
of a notice from the Company that a Triggering Event has occurred and such
holder becoming aware of a Triggering Event, but in no event later than fifteen
business days after a holder's receipt of such notice, any holder of Common
Shares, Repricing Common Shares or Repricing Rights then outstanding may require
the Company to repurchase all or a portion of the holder's Common Shares,
Repricing Common Shares or Repricing Rights. The repurchase price upon the
occurrence of a Major Transaction or a Triggering Event is equal to (i) for each
Common Share with an associated Repricing Right, the greater of (A) 130% of the
Purchase Price and (B) the sum of (I) the Purchase Price and (II) the product of
(x) the Repricing Rate of the Repricing Right on the date of such holder's
delivery of notice of repurchase and (y) the last reported sale price of the
Common Stock on the date of such holder's delivery of a notice of repurchase,
(ii) for each Repricing Right without the associated Common Share, the product
of (x) the Repricing Rate of the Repricing Right on the date of such holder's
delivery of a notice to repurchase and (y) the last reported sale price of the
Common Stock on the date of such holder's delivery of notice of repurchase and
(iii) for each Common Share without an associated Repricing Right, 130% of the
Purchase Price.



                                       28

<PAGE>   29



     The Company shall deliver the applicable repurchase price, in the case of a
repurchase pursuant to the occurrence of a Triggering Event, to such holder
within five business days after the Company's receipt of a notice of repurchase
from the holder and, in the case of a repurchase pursuant to the occurrence of a
Major Transaction, the Company shall deliver the applicable repurchase price
immediately prior to the consummation of the Major Transaction; provided that if
Common Shares are being repurchased, the holder's stock certificates shall have
been delivered to the Company; provided further that if the Company is unable to
repurchase all of the Common Shares or the Repricing Rights to be repurchased,
the Company shall repurchase an amount from each holder on a pro rata basis.

Other Terms of the Purchase Agreements. Each of the July Purchase Agreement and
the November Purchase Agreement contains customary representations and
warranties of the Company for transactions of this type.

     Pursuant to the July Purchase Agreement, the Company has agreed, among
other things, to abide by certain limitations on the Company's ability to raise
equity (the "Capital Raising Limitation"). The Capital Raising Limitation
prohibits the Company and its subsidiaries from negotiating with any party for
any equity financing or issue any equity securities of the Company or any
subsidiary or securities convertible or exchangeable into or for equity
securities of the Company or any subsidiary during the period beginning on July
8, 1998 and ending on and including the 365th day after the Closing Date unless
it first delivers a written notice of the future offering to each Buyer and
provides each Buyer an option to purchase up to its pro rata portion of the
shares to be offered in the future offering.

     Also, under the November Purchase Agreement, if the Company would be, if
all Repricing Rights were exercised on such date required by the rules by the
Nasdaq Stock Market, Inc. to obtain the approval of the stockholders of the
Company to issue the Repricing Shares upon such exercise, then the Company must
within 15 days file proxy materials with the SEC relating to such stockholder
approval and use its best efforts to obtain as soon as possible, and in any
event within 75 days, such stockholder approval. If the Company fails to obtain
the approval of the stockholders as described in this paragraph, then the
Company shall pay to each Buyer an amount in cash equal to the product of (i)
the aggregate Purchase Price paid by such Buyer multiplied by (ii) .025;
multiplied by (iii) the quotient of (x) the number of days after the deadline
that the stockholder approval is not obtained, divided by (y) 30.

     Warrants. Pursuant to the July Purchase Agreement, on July 8, 1998 the
Company issued the warrants to purchase an aggregate of up to 605,000 shares of
Common Stock to the Buyers. The warrants are exercisable for three years
commencing July 8, 1998 at an exercise price equal to 110% of the Purchase
Price. The warrants provide for customary adjustments to the exercise price and
number of shares to be issued in the event of certain dividends and
distributions to holders of Common Stock, stock splits, combinations and
mergers. The warrants also include customary provisions with respect to, among
other things, transfer of the Warrants, mutilated or lost warrant certificates,
and notices to holder(s) of the warrants. The Company also issued warrants to
purchase up to 480,000 shares of Common Stock to the placement agents in
connection with the July Purchase Agreement.

     Pursuant to the November Purchase Agreement, as of November 10, 1998 the
Company issued the warrants to purchase an aggregate of up to 50,000 shares of
Common Stock to the Buyers. The warrants are exercisable for three years
commencing November 10, 1998 at an exercise price equal to 110% of the Purchase
Price. The warrants provide for customary adjustments to the exercise price and
number of shares to be issued in the event of certain dividends and
distributions to holders of Common Stock, stock splits, combinations and
mergers. The warrants also include customary provisions with respect to, among
other things, transfer of the Warrants, mutilated or lost warrant certificates,
and notices to holder(s) of the



                                       29

<PAGE>   30



warrants. The Company also issued warrants to purchase up to 50,000 shares of
Common Stock to the placement agents in connection with the November Purchase
Agreement.

     Registration Rights Agreement. At the time of sale none of the securities
issued or issuable under the July Purchase Agreement or the November Purchase
Agreement will be registered under the Securities Act and therefore, will be,
when issued, "restricted securities." In connection with each of the July
Purchase Agreement and the November Purchase Agreement, the Company entered into
a Registration Rights Agreement with the Buyers pursuant to which the Buyers are
entitled to certain rights with respect to the registration under the Securities
Act of the Common Shares, the Repricing Common Shares and the Warrant Common
Shares (the "Registrable Securities").

     The Company has filed a Registration Statement on Form S-3 with the SEC in
connection with the July Purchase Agreement, and the SEC declared the
Registration Statement effective September 22, 1998.

     Pursuant to the Registration Rights Agreement in connection with the
November Purchase Agreement, the Company agreed to file a registration statement
on Form S-3 on or before January 23, 1999, covering the resale of all of the
Registrable Securities. The Company is required to use its best efforts to cause
such registration statement to become effective as soon as practicable following
the filing thereof; but in no event later than the earlier of (i) April 8, 1999
and (ii) the fifth business day after the Company learns that the SEC will not
review the registration statement or that the SEC has no further comments on the
registration statement. If the registration statement does not become effective
by this date, then the Company is required to make cash payments to the holders
of the Registrable Securities equal to 2.0% of the aggregate Purchase Price paid
by each holder on the first day of each month during the default. The
Registration Rights Agreement also provides for unlimited piggyback registration
rights prior to the expiration of the registration period for the Registrable
Securities. The Company generally bears the expense of any registration
statement, while selling holders generally bear selling expenses such as
underwriting fees and discounts. The Registration Rights Agreement also includes
customary indemnification provisions.

     Placement Agents. The Company paid $1.8 million cash and issued warrants to
purchase 480,000 shares of the Company's Common Stock in consideration for Jesup
& Lamont Securities Corp., Philip Louis Trading Co., Inc., Wellington Capital
Corporation and James Cahill acting as the placement agents in connection with
the placement under the July Purchase Agreement. The Company paid $187,500 cash
and issued warrants to purchase 50,000 shares of the Company's Common Stock in
consideration for Jesup & Lamont Securities Corp. and Wellington Capital
Corporation acting as the placement agents in connection with the placement
under the November Purchase Agreement.

     Additional Rights to Purchase Common Stock. In November 1998, the Company
granted to certain investors the right to an aggregate of 60,876 shares of
Common Stock to obtain their participation. All of such rights were exercised
immediately after being granted.

WARRANTS

     As of December 31, 1998, JEDI held warrants to purchase an aggregate of
2,748,649 shares of Common Stock at prices ranging from $3.54 to $7.00. The
warrants held by JEDI expire at various times from March 9, 1999 through
December 28, 1999. As of December 31, 1998, certain institutional investors hold
warrants to purchase an aggregate of 2,545,358 shares of Common Stock at prices
ranging from $2.50 to a floating rate based on market price at the time of
exercise. The warrants held by the institutional investors expire at various
times from March 9, 1999 through December 24, 2001.



                                       30

<PAGE>   31



EXCHANGE RIGHTS

     The ECT Revolving Credit Agreement provides that, commencing January 1999,
during certain periods, any indebtedness of Queen Sand Resources, Inc., a Nevada
corporation ("QSRn"), may be exchanged by the lenders for shares of the
Company's Common Stock. The exchange ratio is based on a formula that is a
function of the market price of the Common Stock at the time of exchange.


                         SHARES ELIGIBLE FOR FUTURE SALE

     As of January 12, 1999, the Company had outstanding 32,506,226 shares of
Common Stock. In addition, 9,600,000 shares will be issuable upon conversion of
the Series A Participating Convertible Preferred Stock, 1,723,659 shares will be
issuable upon conversion of the Series C Preferred Stock (assuming a conversion
price of $3.583 per share as of January 11, 1999), 5,294,007 shares will be
issuable upon exercise of outstanding warrants and 763,500 shares will be
issuable upon exercise of outstanding stock options. Also, 3,695,713 shares
could be issued upon exercise of the reset rights (assuming a repricing price of
$3.50 per share as of January 8, 1999). Of the issued and outstanding shares of
Common Stock, 27,625,033 shares are freely tradable without restriction or
further registration under the Securities Act and the shares of Common Stock
issuable upon (i) conversion of the Series C Preferred Stock, (ii) certain of
the warrants, (iii) the options and (iv) the repricing rights will be eligible
for resale in the public marketplace pursuant to Registration Statements filed
by the Company. All of the remaining 4,881,193 shares of Common Stock held by
existing stockholders will be "restricted" securities within the meaning of the
Securities Act as a result of the issuance thereof in private transactions not
involving a public offering. The "restricted" securities may not be resold
unless they are registered under the Securities Act or are sold pursuant to an
available exemption from registration, including Rule 144 under the Securities
Act. Certain stockholders, including holders of "restricted" securities, have
been granted certain rights with respect to registration under the Securities
Act of shares of Common Stock held by them.

     In general, under Rule 144 as currently in effect, a person (or persons
whose shares are aggregated) who has beneficially owned shares for at least one
year (including the holding period of any prior owner except an "affiliate" (as
that term is defined in Rule 144)) is entitled to sell, within any three-month
period, a number of those shares that does not exceed the greater of (i) 1% of
the then outstanding shares of the Common Stock (319,062 shares immediately
after this Offering) or (ii) the average weekly trading volume in the Common
Stock during the four calendar weeks preceding the date on which notice of the
sale is filed with the SEC. Sales under Rule 144 are also subject to certain
manner of sale provisions, notice requirements and requirements as to the
availability of current public information concerning the Company. Rule 144
provides that a person (or persons whose shares are aggregated) who is not
deemed to have been an affiliate of the Company at any time during the 90 days
preceding a sale, and who has beneficially owned shares for at least two years
(including, in certain circumstances, the holding period of any prior owner) is
entitled to sell those shares under Rule 144(k) without regard to the
limitations described above.

     The Company can make no prediction as to the effect, if any, that sales of
shares or the availability of shares for sale will have on the market price for
the Common Stock prevailing from time to time. Nevertheless, sales of
substantial amounts of Common Stock in the public market could adversely affect
prevailing market prices. See "Risk Factors - Impact of Shares Eligible for
Future Sale."



                                       31

<PAGE>   32

                              PLAN OF DISTRIBUTION

     The Selling Stockholders, their pledgees, donees, transferees or other
successors-in-interest, may, from time to time, sell all or a portion of the
shares of Common Stock being registered hereunder in privately negotiated
transactions or otherwise, at fixed prices that may be changed, at market prices
prevailing at the time of sale, at prices related to such market prices or at
negotiated prices. The shares of Common Stock may be sold by the Selling
Stockholders by one or more of the following methods, without limitation:

         (a) block trades in which the broker or dealer so engaged will attempt
     to sell the shares of Common Stock as agent but may position and resell a
     portion of the block as principal to facilitate the transaction;

         (b) purchases by a broker or dealer as principal and resale by such
     broker or dealer for its account pursuant to this Prospectus;

         (c) an exchange distribution in accordance with the rules of the
     applicable exchange;

         (d) ordinary brokerage transactions and transactions in which the
     broker solicits purchasers;

         (e) privately negotiated transactions;

         (f) short sales;

         (g) a combination of any such methods of sale; and

         (h) any other method permitted pursuant to applicable law.

     From time to time the Selling Stockholders may engage in short sales, short
sales against the box, puts and calls and other transactions in securities of
the Company or derivatives thereof, and may sell and deliver the shares of
Common Stock in connection therewith or in settlement of securities loans. If
the Selling Stockholders engage in such transactions, the applicable conversion
price may be affected. From time to time the Selling Stockholders may pledge
their shares of Common Stock pursuant to the margin provisions of its customer
agreements with its brokers. Upon a default by the Selling Stockholders, the
broker may offer and sell the pledged shares of Common Stock from time to time.

     In effecting sales, brokers and dealers engaged by the Selling Stockholders
may arrange for other brokers or dealers to participate in such sales. Brokers
or dealers may receive commissions or discounts from the Selling Stockholders
(or, if any such broker-dealer acts as agent for the purchaser of such shares,
from such purchaser) in amounts to be negotiated which are not expected to
exceed those customary in the types of transactions involved. Broker-dealers may
agree with the Selling Stockholders to sell a specified number of such shares of
Common Stock at a stipulated price per share, and, to the extent such
broker-dealer is unable to do so acting as agent for a Selling Stockholder, to
purchase as principal any unsold shares of Common Stock at the price required to
fulfill the broker-dealer commitment to the Selling Stockholders. Broker-dealers
who acquire shares of Common Stock as principal may thereafter resell such
shares of Common Stock from time to time in transactions (which may involve
block transactions and sales to and through other broker-dealers, including
transactions of the nature described above) in the over-the-counter market or
otherwise at prices and on terms then prevailing at the time of sale, at prices
then related to the then-current market price or in negotiated transactions and,
in connection with such resales, may



                                       32

<PAGE>   33



pay to or receive from the purchasers of such Shares commissions as described
above. The Selling Stockholders may also sell the shares of Common Stock in
accordance with Rule 144 under the Securities Act, rather than pursuant to this
Prospectus.

     The Selling Stockholders and any broker-dealers or agents that participate
with the Selling Stockholders in sales of the shares of Common Stock may be
deemed to be "underwriters" within the meaning of the Securities Act in
connection with such sales. In such event, any commissions received by such
broker-dealers or agents and any profit on the resale of the shares of Common
Stock purchased by them may be deemed to be underwriting commissions or
discounts under the Securities Act.

     The Company is required to pay all fees and expenses incident to the
registration of the shares of Common Stock, including fees and disbursements of
one counsel (not to exceed $7,500) to the Selling Stockholders. The Company has
agreed to indemnify the Selling Stockholders against certain losses, claims,
damages and liabilities, including liabilities under the Securities Act.

     In order to comply with certain states' securities laws, if applicable, the
shares of Common Stock will be sold in such jurisdictions only through
registered or licensed brokers or dealers. In addition, in certain states the
Common Stock may not be sold unless the Common Stock has been registered or
qualified for sale in such state or an exemption from registration or
qualification is available and is satisfied.


                                  LEGAL MATTERS

     The validity of the shares of Common Stock offered hereby have been passed
upon for the Company by its counsel, Haynes and Boone, LLP, Dallas, Texas.


                                    ENGINEERS

     The estimates relating to the Company's proved oil and natural gas reserves
and future net revenues of oil and natural gas reserves as of June 30, 1997
(other than with respect to the Property Acquisitions) and at June 30, 1998
(other than with respect to the Morgan Properties) incorporated in this
Prospectus by reference to the Company's Annual Report on Form 10-KSB for the
year ended June 30, 1998 are based upon estimates of such reserves prepared by
H.J. Gruy in reliance upon its reports and upon the authority of this firm as
experts in petroleum engineering.

     The estimates relating to the Company's proved oil and natural gas reserves
and future net revenues of oil and natural gas reserves as of June 30, 1996
incorporated in this Prospectus by reference to the Company's Annual Report on
Form 10-KSB for the year ended June 30, 1998 are based upon estimates of such
reserves prepared by Harper and Associates in reliance upon its reports and upon
the authority of this firm as experts in petroleum engineering.

     The estimates relating to the Company's proved oil and natural gas reserves
and future net revenues of oil and natural gas reserves at June 30, 1998 with
respect to the Morgan Properties incorporated in this Prospectus by reference to
the Company's Annual Report on Form 10-KSB for the year ended June 30, 1998 are
based upon estimates of such reserves prepared by Ryder Scott, independent
consulting petroleum engineers, in reliance upon its report and upon the
authority of this firm as experts in petroleum engineering.



                                       33

<PAGE>   34



                              INDEPENDENT AUDITORS

     The consolidated financial statements of the Company appearing in the
Company's Annual Report (Form 10-KSB) for the year ended June 30, 1998, have
been audited by Ernst & Young LLP, independent auditors, as set forth in their
report thereon included therein and incorporated herein by reference. Such
consolidated financial statements have been incorporated herein by reference in
reliance upon such reports given upon the authority of such firm as experts in
accounting and auditing.

     The statements of net profits interests and royalty interests revenues of 
certain oil and gas producing properties acquired from pension funds managed by 
J.P. Morgan Investments for the years ended June 30, 1997, 1996 and 1995 
appearing in the Company's Current Report on Form 8-K dated March 19, 1998, as 
amended by Current Report on Form 8-K/A-2 filed June 8, 1998, have been audited 
by Ernst & Young LLP, independent auditors, as set forth in their report 
thereon included therein and incorporated herein by reference. Such financial
statements have been incorporated by reference in reliance upon such report
given upon the authority of such firm as experts in accounting and auditing.

                             ADDITIONAL INFORMATION

     We file annual, quarterly and special reports, proxy statements and other
information with the SEC. Our SEC filings are available to the public over the
Internet at the SEC's web site at http://www.sec.gov. You may also read and copy
any document we file at the SEC's public reference rooms at 450 Fifth Street,
N.W., Washington, D.C. 20549, and at the SEC's regional offices located at 7
World Trade Center, 13th Floor, New York, New York 10048 and Suite 1400, 500
West Madison Street, Chicago, Illinois 60661. Please call the SEC at 1(800)
SEC-0330 for further information on the public reference rooms.

     This Prospectus is part of a registration statement that we filed with the
SEC utilizing a "shelf" registration process. Under this shelf process, the
Selling Stockholders may, over the next three years, sell up to 1,410,877 shares
of Common Stock. This Prospectus provides you with a general description of the
Common Stock the Selling Stockholders may offer and information about the
various alternative methods by which they may sell the Common Stock. Under
certain circumstances the Selling Stockholders may be required to provide
additional information about the method by which they intend to sell the Common
Stock. We will provide a Prospectus Supplement that will contain specific
information about the terms of that offering. The Prospectus Supplement may also
add, update or change information contained in this Prospectus. You should read
both this Prospectus and any Prospectus Supplement together with additional
information described under this heading "Additional Information."


                           INCORPORATION BY REFERENCE

     The SEC allows us to "incorporate by reference" the information we file
with them, which means that we can disclose important information to you by
referring you to those documents. The information incorporated by reference is
an important part of this Prospectus, and information that we file later with
the SEC will automatically update and supersede this information. We incorporate
by reference the documents listed below and any future filings we make with the
SEC under Sections 13(a), 13(c), 14 or 15(d) of the Securities Exchange Act of
1934 until the Selling Stockholders' offering is completed:

     o Annual Report on Form 10-KSB for the year ended June 30, 1998; 

     o Quarterly Report on Form 10-Q for the quarter ended September 30, 1998;

     o Item 7 of Current Report on Form 8-K dated March 19, 1998, as amended by 
       Current Report on Form 8-K/A filed April 27, 1998 and Current Report on 
       Form 8-K/A-2 filed June 8, 1998;

     o Current Report on Form 8-K dated November 24, 1998; and

     o The description of our Common Stock contained in our Registration
       Statement filed under Section 12 of the Securities Exchange Act of 1934.



                                       34

<PAGE>   35


     We will provide these filings to any person, including any beneficial
owner, to whom this Prospectus is delivered, at no cost, upon written or oral
request to the Company as follows:

                           13760 Noel Road, Suite 1030
                            Dallas, Texas 75240-7336

     You may call William W. Lesikar, Vice-President Finance, of the Company at
(972) 233-9906 to request filings. You should rely only on the information
incorporated by reference or provided in this Prospectus or any Prospectus
Supplement. We have not authorized anyone else to provide you with different
information. The Selling Stockholders are not making an offer of these
securities in any state where the offer is not permitted. You should not assume
that the information in this Prospectus or any Prospectus Supplement is accurate
as of any date other than the date on the front of those documents.


              DISCLOSURE OF COMMISSION POSITION ON INDEMNIFICATION
                         FOR SECURITIES ACT LIABILITIES

     Pursuant to the Registration Rights Agreement among the Company and the
Selling Stockholders, the Company has agreed to indemnify each Selling
Stockholder and its officers, directors, agents, brokers, investment advisors,
employees and any person who controls such Selling Stockholder against any
losses, claims, damages, liabilities, costs and expenses arising out of or
relating to (i) any untrue statement or alleged untrue statement of a material
fact contained in the Registration Statement or any Prospectus, including any
amendments or supplements thereto, or (ii) the omission or alleged omission to
state therein a material fact required to be stated therein, or necessary to
make the statements therein (in the case of any Prospectus or form of prospectus
or supplement thereto, in light of the circumstances under which they were made)
not misleading, except to the extent that such liabilities arise out of or are
based upon and in conformity with any information furnished in writing to the
Company by each respective Selling Stockholder expressly for use in the
Registration Statement or and amendment or supplement thereto. In addition, each
Selling Stockholder, acting severally and not jointly, under the Registration
Rights Agreement has agreed to indemnify the Company and its officers,
directors, employees, agents and any person who controls the Company against any
losses, claims, damages, liabilities, costs or expenses arising out of or based
upon and in conformity with written information furnished by such Selling
Stockholder expressly for use in the Registration Statement or an amendment or
supplement thereto. However, the foregoing indemnity shall not apply to amounts
paid in settlement of any such liability if the settlement is effected without
the consent of such Selling Stockholder.

     Insofar as indemnification for liabilities arising under the Securities Act
of 1933 may be permitted to directors, officers and controlling persons of the
issuer pursuant to the foregoing provisions, or otherwise, the issuer has been
advised that in the opinion of the SEC such indemnification is against public
policy as expressed in the Securities Act and is, therefore, unenforceable.



                                       35

<PAGE>   36

                               CERTAIN DEFINITIONS

     The following are certain defined terms used in this Prospectus:

"BBL." One stock tank barrel, or 42 US gallons liquid volume, used herein in
     reference to crude oil or other liquid hydrocarbons.

"DEVELOPMENT WELL." A well drilled within the proved boundaries of an oil and
     natural gas reservoir to the depth of a stratigraphic horizon known to be
     productive.

"DRY WELL." A development or exploratory well found to be incapable of producing
     either oil or natural gas in sufficient quantities to justify completion as
     an oil or natural gas well.

"MCF."  One thousand cubic feet.

"MORGAN PROPERTY ACQUISITION." The acquisition by the Company in April 1998 of
     certain non-operated, net profits interests and royalty interests revenues
     from pension funds managed by J.P. Morgan Investments.

"NET PROFITS INTEREST." A share of the gross oil and natural gas production from
     a property, measured by net profits from the operation of the property,
     that is carved out of the working interest. This is a non-operated
     interest.

"PREFERRED STOCK." Capital stock of any Person of any class or classes (however
     designated) that ranks prior, as to the payment of dividends or as to the
     distribution of assets upon any voluntary or involuntary liquidation,
     dissolution or winding up of such Person, to shares of Capital Stock of any
     other class of such Person.

"PROPERTY ACQUISITIONS." Property Acquisitions means, collectively, (i) the
     acquisition by the Company of certain natural gas properties in western
     Kentucky on March 8, 1998, (ii) the acquisition by the Company of certain
     oil and natural gas properties in New Mexico, Texas and Oklahoma from
     Collins and Ware, Inc. and (iii) the Morgan Property Acquisition.

"PROVED RESERVES." The estimated quantities of crude oil, natural gas and gas
     liquids which geological and engineering data demonstrate with reasonable
     certainty to be recoverable in future years from known reservoirs under
     existing economic and operating conditions.

"PROVED UNDEVELOPED RESERVES" OR "PUD." Reserves are oil and gas reserves that
     are expected to be recovered from new wells on undrilled acreage, or from
     existing wells where a relatively major expenditure is required for
     recompletion. Reserves on undrilled acreage shall be limited to those
     drilling units offsetting productive units that are reasonably certain of
     production when drilled. Proved reserves for other undrilled units can be
     claimed only where it can be demonstrated with certainty that there is
     continuity of production from the existing productive formation. Under no
     circumstances should estimates for proved undeveloped reserves be
     attributable to any acreage for which an application of fluid injection or
     other improved recovery techniques is contemplated, unless such techniques
     have been proved effective by actual tests in the area and in the same
     reservoir.

"ROYALTY INTEREST." An interest in an oil and natural gas property entitling the
     owner to a share of oil and natural gas production, free of costs of
     production.



                                       36

<PAGE>   37



"SEC PV-10." The present value of proved reserves is an estimate of the
     discounted future net cash flows from each of the properties at June 30,
     1998, or as otherwise indicated. Net cash flow is defined as net revenues
     less, after deducting production and ad valorem taxes, future capital costs
     and operating expenses, but before deducting federal income taxes. As
     required by rules of the SEC, the future net cash flows have been
     discounted at an annual rate of 10% to determine their "present value." The
     present value is shown to indicate the effect of time on the value of the
     revenue stream and should not be construed as being the fair market value
     of the properties. In accordance with SEC rules, estimates have been made
     using constant oil and natural gas prices and operating costs, at June 30,
     1998, or as otherwise indicated.

"SECONDARY RECOVERY." A method of oil and natural gas extraction in which energy
     sources extrinsic to the reservoir are utilized.

"WORKING INTEREST." The operating interest which gives the owner the right to
     drill, produce and conduct operating activities on the property and a share
     of production, subject to all royalties, overriding royalties and other
     burdens and to all costs of exploration, development and operations and all
     risks in connection therewith.



                                       37

<PAGE>   38


                                     PART II

                     INFORMATION NOT REQUIRED IN PROSPECTUS

ITEM 14.      OTHER EXPENSES OF ISSUANCE AND DISTRIBUTION


<TABLE>
<S>                                                                                                 <C> 
Securities and Exchange Commission Registration Fee................................................ $   1,520
Nasdaq SmallCap Market Listing Fee.................................................................     4,160
Transfer Agent Fees................................................................................       100
Printing Expenses..................................................................................         0
Accounting Fees and Expenses.......................................................................     2,500
Legal Fees and Expenses............................................................................    20,000
Engineer Fees and Expenses.........................................................................       500
Blue Sky Fees and Expenses.........................................................................       500

                                                                                                          720
Miscellaneous Expenses............................................................................. ---------

   Total........................................................................................... $  30,000
                                                                                                    =========
</TABLE>

     All of the above expenses except the Securities and Exchange Commission
registration fee and the Nasdaq SmallCap Market listing fee are estimated. All
of such expenses will be borne by the Company.

ITEM 15.   INDEMNIFICATION OF DIRECTORS AND OFFICERS

     The Company's Restated Certificate of Incorporation, as amended (the
"Certificate of Incorporation"), provides that no director of the Company will
be personally liable to the Company or any of its stockholders for monetary
damages arising from the director's breach of fiduciary duty as a director.
However, this does not apply with respect to any action in which the director
would be liable under Section 174 of the General Corporation Law of the State of
Delaware ("Delaware Code") nor does it apply with respect to any liability in
which the director (i) breached his duty of loyalty to the Company or its
stockholders; (ii) did not act in good faith or, in failing to act, did not act
in good faith; (iii) acted in a manner involving intentional misconduct or a
knowing violation of law or, in failing to act, shall have acted in a manner
involving intentional misconduct or a knowing violation of law; or (iv) derived
an improper personal benefit.

     The Certificate of Incorporation of the Company provides that the Company
shall indemnify its directors and officers and former directors and officers to
the fullest extent permitted by the Delaware Code. Pursuant to the provisions of
Section 145 of the Delaware Code, the Company has the power to indemnify any
person who was or is a party or is threatened to be made a party to any
threatened, pending, or completed action, suit, or proceeding (other than an
action by or in the right of the Company) by reason of the fact that he is or
was a director, officer, employee, or agent of the Company, against any and all
expenses, judgments, fines and amounts paid in settlement actually and
reasonably incurred in connection with such action, suit, or proceeding. The
power to indemnify applies only if such person acted in good faith and in a
manner he reasonably believed to be in the best interest, or not opposed to the
best interest, of the Company and with respect to any criminal action or
proceeding, had no reasonable cause to believe his conduct was unlawful.

     The power to indemnify applies to actions brought by or in the right of the
Company as well, but only to the extent of defense and settlement expenses and
not to any satisfaction of a judgment or settlement of the claim itself and with
the further limitation that in such actions no indemnification shall be made in
the



                                      II-1

<PAGE>   39

event of any adjudication of negligence or misconduct unless the court, in its
discretion, believes that in light of all the circumstances indemnification
should apply.

     The statute further specifically provides that the indemnification
authorized thereby shall not be deemed exclusive of any other rights to which
any such officer or director may be entitled under any bylaws, agreements, vote
of stockholders or disinterested directors, or otherwise.

     Insofar as indemnification for liabilities arising under the Securities Act
may be permitted to directors, officers or persons controlling the Company
pursuant to the foregoing provisions, the Company has been advised that in the
opinion of the Securities and Commission such indemnification is against public
policy as expressed in the Securities Act and is therefore unenforceable.

ITEM 16.   EXHIBITS

<TABLE>
<CAPTION>
   EXHIBIT NO.                                            EXHIBIT DESCRIPTION
- ----------------------------------------------------------------------------------------------------------------------------------

<S>                <C>
      3.1          Restated Certificate of Incorporation, filed as Exhibit 4.5 to the Company's Registration Statement
                   on Form S-3 filed with the Securities and Exchange Commission on March 9, 1998, which
                   Exhibit is incorporated herein by reference.

      3.2          Certificate of Designation of Series C Convertible Preferred Stock, filed as an exhibit to the
                   Company's Current Report on Form 8-K dated December 24, 1997, which Exhibit is incorporated
                   herein by reference.

      3.3          Amended and Restated Bylaws, filed as an Exhibit to the Company's Current Report on Form 8-K
                   dated May 6, 1997, which Exhibit is incorporated herein by reference.

      4.1          Stockholders' Agreement dated as of May 6, 1997, among the Company, Bruce I. Benn, Edward
                   J. Munden, Ronald I. Benn, Robert P. Lindsay, EIBOC Investments Ltd. and Joint Energy
                   Development Investments Limited Partnership ("JEDI"), filed as an Exhibit to the Company's
                   Current Report on Form 8-K dated May 6, 1997, which Exhibit is incorporated herein by
                   reference.

      4.2          Indenture, dated July 1, 1998, in regard to 12 1/2% Senior Notes due 2008 by and among the
                   Company and certain of its subsidiaries and Harris Trust and Savings Bank, as Trustee, filed as
                   an Exhibit to the Company's Current Report on Form 8-K dated July 8, 1998, which Exhibit is
                   incorporated herein by reference.

      4.3          Form of 12% Notes due July 15, 2001, filed as an Exhibit to the Company's Registration
                   Statement on Form 10-SB filed with the Securities and Exchange Commission on August 12,
                   1996, which Exhibit is incorporated herein by reference.

      4.4          Common Stock Purchase Warrant Representing Right to Purchase 100,000 Shares of Common
                   Stock of the Company issued to Forseti Investments Ltd. on May 6, 1997 and assigned to CSM
                   GmbH, filed as an Exhibit to the Company's Current Report on Form 8-K dated May 6, 1997,
                   which Exhibit is incorporated herein by reference.

      4.5          Common Stock Purchase Warrant Representing Right to Purchase 1,000,000 Shares of Common
                   Stock of the Company issued to Forseti Investments Ltd. on May 6, 1997 and assigned to CSM
                   GmbH, filed as an Exhibit to the Company's Current Report on Form 8-K dated May 6, 1997,
                   which Exhibit is incorporated herein by reference.

      4.6          Common Stock Purchase Warrant Representing Right to Purchase 28,066 Shares of Common
                   Stock of the Company dated July 22, 1998 issued to JEDI, filed as an Exhibit to the Company's
                   Registration Statement on Form S-4 (No. 333-61403), filed August 13, 1998.

      4.7          Common Stock Purchase Warrant Representing Right to Purchase 1,697,881 Shares of Common
                   Stock of the Company dated July 22, 1998 issued to JEDI, filed as an Exhibit to the Company's
                   Registration Statement on Form S-4 (No. 333-61403), filed August 13, 1998.
</TABLE>



                                      II-2

<PAGE>   40

<TABLE>
<CAPTION>
   EXHIBIT NO.                                            EXHIBIT DESCRIPTION
- ----------------------------------------------------------------------------------------------------------------------------------

<S>                <C>
      4.8          Form of Common Stock Purchase Warrant dated December 24, 1997 and issued to certain institutional
                   investors, filed as an Exhibit to the Company's Current Report on Form 8-K dated December 24, 1997,
                   which Exhibit is incorporated herein by reference.

      4.9          Form of Common Stock Purchase Warrant issued to certain investors effective July 8, 1998, filed as
                   an Exhibit to the Company's Current Report on Form 8-K dated July 8, 1998, which Exhibit is
                   incorporated herein by reference.

      4.10         Registration Rights Agreement between the Company and Collins and Ware, Inc., dated August 1, 1997,
                   filed as an Exhibit to the Company's Registration Statement on Form S-4 (No. 333-61403), filed
                   August 13, 1998.

      4.11         Registration Rights Agreement between the Company and Riata Energy, et. al dated April 9, 1998,
                   filed as an Exhibit to the Company's Registration Statement on Form S-4 (No. 333-61403), filed
                   August 13, 1998.

      4.12         Registration Rights Agreement among the Company and certain institutional investors named therein,
                   dated December 24, 1997, filed as an Exhibit to the Company's Current Report on Form 8-K dated
                   December 24, 1997, which Exhibit is incorporated herein by reference.

      4.13         Registration Rights Agreement by and between the Company and JEDI dated May 6, 1997, filed as an
                   Exhibit to the Company's Current Report on Form 8-K dated May 6, 1997, which Exhibit is incorporated
                   herein by reference.

      4.14         Registration Rights Agreement dated as of December 29, 1997 among the Company, the ECT Agent and
                   JEDI, filed as an Exhibit to the Company's Quarterly Report on Form 10-QSB for the quarter ended
                   December 30, 1997, which Exhibit is incorporated herein by reference.

      4.15         Registration Rights Agreement dated as of July 8, 1998 among the Company and the buyers signatory
                   thereto, filed as an Exhibit to the Company's Current Report on Form 8-K dated July 8, 1998, which
                   Exhibit is incorporated herein by reference.

      4.16         Registration Rights Agreement, dated July 8, 1998, by and among the Company and certain of its
                   subsidiaries and Nesbitt Burns Securities Inc., CIBC Oppenheimer Corp. and Societe Generale
                   Securities Corporation, as Placement Agents, filed as an Exhibit to the Company's Current Report on
                   Form 8-K dated July 8, 1998, which Exhibit is incorporated herein by reference.

      4.17         Common Stock Purchase Warrant Representing Right to Purchase 48,701 Shares of Common Stock of the
                   Company dated August 19, 1998 and issued to JEDI, filed as an Exhibit to the Company's Annual Report
                   on Form 10-KSB for the fiscal year ended June 30, 1998, which Exhibit is incorporated herein by
                   reference.

      4.18*        Common Stock Purchase Warrant Representing Right to Purchase 80,108 Shares of Common Stock of the
                   Company dated as of November 30, 1998 issued to JEDI.

      4.19*        Common Stock Purchase Warrant Representing Right to Purchase 4,329 Shares of Common Stock of the
                   Company dated as of September 11, 1998 issued to JEDI.

      4.20*        Common Stock Purchase Warrant Representing Right to Purchase 206,340 Shares of Common Stock of the
                   Company dated as of November 23, 1998 issued to JEDI.

      4.21*        Common Stock Purchase Warrant Representing Right to Purchase 18,836 Shares of Common Stock of the
                   Company dated as of November 27, 1998 issued to JEDI.

      4.22*        Common Stock Purchase Warrant Representing Right to Purchase 3,160 Shares of Common Stock of the
                   Company dated as of November 25, 1998 issued to JEDI.

      4.23*        Common Stock Purchase Warrant Representing Right to Purchase 162,955 Shares of Common Stock of the
                   Company dated as of November 30, 1998 issued to JEDI.

      4.24         Registration Rights Agreement dated November 10, 1998 among Queen Sand Resources, Inc. and the
                   buyers signatory thereto, filed as an Exhibit to the Company's Current Report on Form 8-K dated
                   November 24, 1998, which Exhibit is incorporated herein by reference.

      4.25         Form of Common Stock Purchase Warrant issued to certain investors as of November 10, 1998, filed as
                   an Exhibit to the Company's Current Report on Form 8-K dated November 24, 1998, which Exhibit is
                   incorporated herein by reference.
</TABLE>



                                                       II-3

<PAGE>   41


<TABLE>
<CAPTION>
   EXHIBIT NO.                                            EXHIBIT DESCRIPTION
- ----------------------------------------------------------------------------------------------------------------------------------

<S>                <C>

      4.26*        Common Stock Purchase Warrant Representing Right to Purchase 22,033 Shares of Common Stock of the
                   Company dated as of December 28, 1998 issued to JEDI.

      4.27*        Common Stock Purchase Warrant Representing Right to Purchase 12,380 Shares of Common Stock of the
                   Company dated as of December 15, 1998 issued to JEDI.

      4.28*        Common Stock Purchase Warrant Representing Right to Purchase 133,708 Shares of Common Stock of the
                   Company dated as of December 14, 1998 issued to JEDI.

      4.29*        Common Stock Purchase Warrant Representing Right to Purchase 37,141 Shares of Common Stock of the
                   Company dated as of December 11, 1998 issued to JEDI.

      4.30*        Common Stock Purchase Warrant Representing Right to Purchase 8,360 Shares of Common Stock of the
                   Company dated as of December 9, 1998 issued to JEDI.

      4.31*        Common Stock Purchase Warrant Representing Right to Purchase 10,973 Shares of Common Stock of the
                   Company dated as of December 7, 1998 issued to JEDI.

      4.32*        Common Stock Purchase Warrant Representing Right to Purchase 8,180 Shares of Common Stock of the
                   Company dated as of December 4, 1998 issued to JEDI.

      4.33*        Common Stock Purchase Warrant Representing Right to Purchase 13,335 Shares of Common Stock of the
                   Company dated as of December 4, 1998 issued to JEDI.

      4.34*        Common Stock Purchase Warrant Representing Right to Purchase 8,180 Shares of Common Stock of the
                   Company dated as of December 2, 1998 issued to JEDI.

      4.35*        Common Stock Purchase Warrant Representing Right to Purchase 21,331 Shares of Common Stock of the
                   Company dated as of December 2, 1998 issued to JEDI.

      4.36*        Common Stock Purchase Warrant Representing Right to Purchase 18,372 Shares of Common Stock of the
                   Company dated as of November 30, 1998 issued to JEDI.

      5.1*         Opinion of Haynes and Boone, LLP. 23.1* Consent of Ernst & Young LLP.

      23.1*        Consent of Ernst & Young LLP.

      23.2*        Consent of Haynes and Boone, LLP, contained in the opinion filed as Exhibit 5.1.

      23.3*        Consent of H.J. Gruy and Associates, Inc.

      23.4*        Consent of Harper & Associates, Inc.

      23.5*        Consent of Ryder Scott Company.

      24.1*        Power of Attorney, included as part of signature page of this Registration Statement.
</TABLE>

- --------------
*    Filed herewith.


ITEM 17.   UNDERTAKINGS

     The undersigned Registrant hereby undertakes:

     (1) to file, during any period in which offers or sales are being made, a
post-effective amendment to this Registration Statement:

           (i)    to include any prospectus required by Section 10(a)(3) of the
                  Securities Act of 1933;

           (ii)   to reflect in the prospectus any facts or events arising after
                  the effective date of the registration statement (or the most
                  recent post-effective amendment thereof) which, individually
                  or in the aggregate, represent a fundamental change in the
                  information set forth in the Registration Statement.
                  Notwithstanding the foregoing, any increase or decrease in
                  volume of securities offered (if the total dollar value of
                  securities offered would not exceed that which was registered)
                  and any deviation from the low or high end of the estimated
                  maximum offering range may be reflected in the form of
                  prospectus filed



                                      II-4

<PAGE>   42



                  with the Securities and Commission pursuant to Rule 424(b) if,
                  in the aggregate, the changes in volume and price represent no
                  more than a 20 percent change in the maximum aggregate
                  offering price set forth in the "Calculation of Registration
                  Fee" table in the effective Registration Statement;

           (iii)  to include any material information with respect to the plan
                  of distribution not previously disclosed in the Registration
                  Statement or any material change to such information in the
                  registration statement;

provided, however, that paragraphs (1)(i) and (1)(ii) do not apply if the
information required to be included in a post-effective amendment by those
paragraphs is contained in periodic reports filed by the Registrant pursuant to
Section 13 or Section 15(d) of the Securities Exchange Act of 1934 that are
incorporated by reference in this Registration Statement.

     (2) that, for the purpose of determining any liability under the Securities
Act of 1933, each such post-effective amendment shall be deemed to be a new
registration statement relating to the securities offered therein, and the
offering of such securities at that time shall be deemed to be the initial bona
fide offering thereof; and

     (3) to remove from registration by means of a post-effective amendment any
of the securities being registered which remain unsold at the termination of the
offering.

     Insofar as indemnification for liabilities arising under the Securities Act
of 1933 may be permitted to directors, officers and controlling persons of the
registrant pursuant to the foregoing provisions, or otherwise, the registrant
has been advised that in the opinion of the Securities and Exchange Commission
such indemnification is against public policy as expressed in the Securities Act
and is, therefore, unenforceable. In the event a claim for indemnification
against such liabilities (other than the payment by the registrant of expenses
incurred or paid by a director, officer or controlling person of the registrant
in the successful defense of any action, suit or proceeding) is asserted by such
director, officer or controlling person in connection with the securities being
registered, the registrant will, unless in the opinion of its counsel the matter
has been settled by controlling precedent, submit to a court of appropriate
jurisdiction the question whether such indemnification by it is against public
policy as expressed in the Securities Act and will be governed by the final
adjudication of such issue.

     The undersigned Registrant hereby undertakes that:

     (1) For purposes of determining any liability under the Securities Act of
1933, the information omitted from the form of Prospectus filed as part of this
Registration Statement in reliance upon Rule 430A and contained in a form of
Prospectus filed by the Registrant pursuant to Rule 424(b)(1) or (4) or 497(h)
under the Securities Act shall be deemed to be part of this Registration
Statement as of the time it was declared effective.

     (2) For the purpose of determining any liability under the Securities Act
of 1933, each post-effective amendment that contains a form of Prospectus shall
be deemed to be a new Registration Statement relating to the securities offered
therein, and the offering of such securities at that time shall be deemed to be
the initial bona fide offering thereof.

     The undersigned registrant hereby undertakes that, for purposes of
determining any liability under the Securities Act of 1933, each filing of the
registrant's annual report pursuant to section 13(a) or section 15(d) of the
Securities Exchange Act of 1934 (and, where applicable, each filing of an
employee benefit plan's annual report pursuant to section 15(d) of the
Securities Exchange Act of 1934) that is incorporated by reference in the
registration statement shall be deemed to be a new registration statement
relating to the securities offered therein, and the offering of such securities
at that time shall be deemed to be the initial bona fide offering thereof.


                                      II-5

<PAGE>   43

                        SIGNATURES AND POWER OF ATTORNEY

     Pursuant to the requirements of the Securities Act of 1933, the Registrant
certifies that it has reasonable grounds to believe that it meets all of the
requirements for filing on Form S-3 and has duly caused this Registration
Statement to be signed on its behalf by the undersigned, thereunto duly
authorized, in the City of Dallas, State of Texas, on the 22nd day of January,
1999.

                                 QUEEN SAND RESOURCES, INC.

                                 By:        /s/ Edward J. Munden
                                            ------------------------------------
                                 Name:      Edward J. Munden
                                 Title:     Chairman of the Board, President and
                                            Chief Executive Officer

     KNOW ALL MEN BY THESE PRESENTS, that each person whose signature appears
below constitutes and appoints each of Robert P. Lindsay and William W. Lesikar
his or her true and lawful attorneys-in-fact and agents, with full power of
substitution and resubstitution, for him or her and in his or her name, place
and stead, in any and all capacities, to sign, execute and file with the
Securities and Exchange Commission and any state securities regulatory board or
commission any documents relating to the proposed issuance and registration of
the securities offered pursuant to this Registration Statement on Form S-3 under
the Securities Act of 1933, as amended, including any amendment or amendments
relating thereto (and, in addition, any Registration Statement filed pursuant to
Rule 462(b) under the Securities Act of 1933, as amended, for the offering to
which this Registration Statement relates), with all exhibits and any and all
documents required to be filed with respect thereto with any regulatory
authority, granting unto said attorneys-in-fact and agents, and each of them,
full power and authority to do and perform each and every act and thing
requisite and necessary to be done in and about the premises in order to
effectuate the same as fully to all intents and purposes as he or she might or
could do if personally present, hereby ratifying and confirming all that said
attorneys-in-fact and agents, or either of them, or their or his substitute or
substitutes, may lawfully do or cause to be done.

     Pursuant to the requirements of the Securities Act of 1933, this
Registration Statement on Form S-3 has been signed by the following persons on
behalf of the Registrant in the capacities and on the 22nd day of January, 1999:

<TABLE>
<CAPTION>
Signature                                   Title
- ---------                                   -----


<S>                                        <C>
/s/ Edward J. Munden                        Chairman of the Board, President, Chief Executive Officer
- ---------------------------------           and Director (principal executive officer)
Edward J. Munden


/s/ Bruce I. Benn                           Executive Vice President, Secretary and Director
- ---------------------------------
Bruce I. Benn


/s/ Ronald I. Benn                          Chief Financial Officer (principal financial officer and
- ---------------------------------           accounting officer)
Ronald I. Benn
</TABLE>



                                      II-6

<PAGE>   44


<TABLE>
<CAPTION>
Signature                                   Title
- ---------                                   -----


<S>                                        <C>
/s/ Robert P. Lindsay                       Chief Operating Officer, Executive Vice President and
- ---------------------------------           Director
Robert P. Lindsay


/s/ Ted Collins, Jr.                        Director
- ---------------------------------
Ted Collins, Jr.


/s/ Eli Rebich                              Director
- ---------------------------------
Eli Rebich
</TABLE>



                                      II-7

<PAGE>   45



                                  EXHIBIT INDEX



<TABLE>
<CAPTION>
   EXHIBIT NO.                                            EXHIBIT DESCRIPTION
- ----------------------------------------------------------------------------------------------------------------------------------

<S>                <C>
      3.1          Restated Certificate of Incorporation, filed as Exhibit 4.5 to the Company's Registration Statement
                   on Form S-3 filed with the Securities and Exchange Commission on March 9, 1998, which
                   Exhibit is incorporated herein by reference.

      3.2          Certificate of Designation of Series C Convertible Preferred Stock, filed as an exhibit to the
                   Company's Current Report on Form 8-K dated December 24, 1997, which Exhibit is incorporated
                   herein by reference.

      3.3          Amended and Restated Bylaws, filed as an Exhibit to the Company's Current Report on Form 8-K
                   dated May 6, 1997, which Exhibit is incorporated herein by reference.

      4.1          Stockholders' Agreement dated as of May 6, 1997, among the Company, Bruce I. Benn, Edward
                   J. Munden, Ronald I. Benn, Robert P. Lindsay, EIBOC Investments Ltd. and Joint Energy
                   Development Investments Limited Partnership ("JEDI"), filed as an Exhibit to the Company's
                   Current Report on Form 8-K dated May 6, 1997, which Exhibit is incorporated herein by
                   reference.

      4.2          Indenture, dated July 1, 1998, in regard to 12 1/2% Senior Notes due 2008 by and among the
                   Company and certain of its subsidiaries and Harris Trust and Savings Bank, as Trustee, filed as
                   an Exhibit to the Company's Current Report on Form 8-K dated July 8, 1998, which Exhibit is
                   incorporated herein by reference.

      4.3          Form of 12% Notes due July 15, 2001, filed as an Exhibit to the Company's Registration
                   Statement on Form 10-SB filed with the Securities and Exchange Commission on August 12,
                   1996, which Exhibit is incorporated herein by reference.

      4.4          Common Stock Purchase Warrant Representing Right to Purchase 100,000 Shares of Common
                   Stock of the Company issued to Forseti Investments Ltd. on May 6, 1997 and assigned to CSM
                   GmbH, filed as an Exhibit to the Company's Current Report on Form 8-K dated May 6, 1997,
                   which Exhibit is incorporated herein by reference.

      4.5          Common Stock Purchase Warrant Representing Right to Purchase 1,000,000 Shares of Common
                   Stock of the Company issued to Forseti Investments Ltd. on May 6, 1997 and assigned to CSM
                   GmbH, filed as an Exhibit to the Company's Current Report on Form 8-K dated May 6, 1997,
                   which Exhibit is incorporated herein by reference.

      4.6          Common Stock Purchase Warrant Representing Right to Purchase 28,066 Shares of Common
                   Stock of the Company dated July 22, 1998 issued to JEDI, filed as an Exhibit to the Company's
                   Registration Statement on Form S-4 (No. 333-61403), filed August 13, 1998.

      4.7          Common Stock Purchase Warrant Representing Right to Purchase 1,697,881 Shares of Common
                   Stock of the Company dated July 22, 1998 issued to JEDI, filed as an Exhibit to the Company's
                   Registration Statement on Form S-4 (No. 333-61403), filed August 13, 1998.

      4.8          Form of Common Stock Purchase Warrant dated December 24, 1997 and issued to certain institutional
                   investors, filed as an Exhibit to the Company's Current Report on Form 8-K dated December 24, 1997,
                   which Exhibit is incorporated herein by reference.

      4.9          Form of Common Stock Purchase Warrant issued to certain investors effective July 8, 1998, filed as
                   an Exhibit to the Company's Current Report on Form 8-K dated July 8, 1998, which Exhibit is
                   incorporated herein by reference.

      4.10         Registration Rights Agreement between the Company and Collins and Ware, Inc., dated August 1, 1997,
                   filed as an Exhibit to the Company's Registration Statement on Form S-4 (No. 333-61403), filed
                   August 13, 1998.

      4.11         Registration Rights Agreement between the Company and Riata Energy, et. al dated April 9, 1998,
                   filed as an Exhibit to the Company's Registration Statement on Form S-4 (No. 333-61403), filed
                   August 13, 1998.


</TABLE>



                                      II-8

<PAGE>   46

<TABLE>
<CAPTION>
   EXHIBIT NO.                                            EXHIBIT DESCRIPTION
- ----------------------------------------------------------------------------------------------------------------------------------

<S>                <C>
      4.12         Registration Rights Agreement among the Company and certain institutional investors named therein,
                   dated December 24, 1997, filed as an Exhibit to the Company's Current Report on Form 8-K dated
                   December 24, 1997, which Exhibit is incorporated herein by reference.

      4.13         Registration Rights Agreement by and between the Company and JEDI dated May 6, 1997, filed as an
                   Exhibit to the Company's Current Report on Form 8-K dated May 6, 1997, which Exhibit is incorporated
                   herein by reference.

      4.14         Registration Rights Agreement dated as of December 29, 1997 among the Company, the ECT Agent and
                   JEDI, filed as an Exhibit to the Company's Quarterly Report on Form 10-QSB for the quarter ended
                   December 30, 1997, which Exhibit is incorporated herein by reference.

      4.15         Registration Rights Agreement dated as of July 8, 1998 among the Company and the buyers signatory
                   thereto, filed as an Exhibit to the Company's Current Report on Form 8-K dated July 8, 1998, which
                   Exhibit is incorporated herein by reference.

      4.16         Registration Rights Agreement, dated July 8, 1998, by and among the Company and certain of its
                   subsidiaries and Nesbitt Burns Securities Inc., CIBC Oppenheimer Corp. and Societe Generale
                   Securities Corporation, as Placement Agents, filed as an Exhibit to the Company's Current Report on
                   Form 8-K dated July 8, 1998, which Exhibit is incorporated herein by reference.

      4.17         Common Stock Purchase Warrant Representing Right to Purchase 48,701 Shares of Common Stock of the
                   Company dated August 19, 1998 and issued to JEDI, filed as an Exhibit to the Company's Annual Report
                   on Form 10-KSB for the fiscal year ended June 30, 1998, which Exhibit is incorporated herein by
                   reference.

      4.18*        Common Stock Purchase Warrant Representing Right to Purchase 80,108 Shares of Common Stock of the
                   Company dated as of November 30, 1998 issued to JEDI.

      4.19*        Common Stock Purchase Warrant Representing Right to Purchase 4,329 Shares of Common Stock of the
                   Company dated as of September 11, 1998 issued to JEDI.

      4.20*        Common Stock Purchase Warrant Representing Right to Purchase 206,340 Shares of Common Stock of the
                   Company dated as of November 23, 1998 issued to JEDI.

      4.21*        Common Stock Purchase Warrant Representing Right to Purchase 18,836 Shares of Common Stock of the
                   Company dated as of November 27, 1998 issued to JEDI.

      4.22*        Common Stock Purchase Warrant Representing Right to Purchase 3,160 Shares of Common Stock of the
                   Company dated as of November 25, 1998 issued to JEDI.

      4.23*        Common Stock Purchase Warrant Representing Right to Purchase 162,955 Shares of Common Stock of the
                   Company dated as of November 30, 1998 issued to JEDI.

      4.24         Registration Rights Agreement dated November 10, 1998 among Queen Sand Resources, Inc. and the
                   buyers signatory thereto, filed as an Exhibit to the Company's Current Report on Form 8-K dated
                   November 24, 1998, which Exhibit is incorporated herein by reference.

      4.25         Form of Common Stock Purchase Warrant issued to certain investors as of November 10, 1998, filed as
                   an Exhibit to the Company's Current Report on Form 8-K dated November 24, 1998, which Exhibit is
                   incorporated herein by reference.

      4.26*        Common Stock Purchase Warrant Representing Right to Purchase 22,033 Shares of Common Stock of the
                   Company dated as of December 28, 1998 issued to JEDI.

      4.27*        Common Stock Purchase Warrant Representing Right to Purchase 12,380 Shares of Common Stock of the
                   Company dated as of December 15, 1998 issued to JEDI.

      4.28*        Common Stock Purchase Warrant Representing Right to Purchase 133,708 Shares of Common Stock of the
                   Company dated as of December 14, 1998 issued to JEDI.

      4.29*        Common Stock Purchase Warrant Representing Right to Purchase 37,141 Shares of Common Stock of the
                   Company dated as of December 11, 1998 issued to JEDI.

      4.30*        Common Stock Purchase Warrant Representing Right to Purchase 8,360 Shares of Common Stock of the
                   Company dated as of December 9, 1998 issued to JEDI.


</TABLE>



                                      II-9

<PAGE>   47


<TABLE>
<CAPTION>
   EXHIBIT NO.                                            EXHIBIT DESCRIPTION
- ----------------------------------------------------------------------------------------------------------------------------------

<S>                <C>

      4.31*        Common Stock Purchase Warrant Representing Right to Purchase 10,973 Shares of Common Stock of the
                   Company dated as of December 7, 1998 issued to JEDI.

      4.32*        Common Stock Purchase Warrant Representing Right to Purchase 8,180 Shares of Common Stock of the
                   Company dated as of December 4, 1998 issued to JEDI.

      4.33*        Common Stock Purchase Warrant Representing Right to Purchase 13,335 Shares of Common Stock of the
                   Company dated as of December 4, 1998 issued to JEDI.

      4.34*        Common Stock Purchase Warrant Representing Right to Purchase 8,180 Shares of Common Stock of the
                   Company dated as of December 2, 1998 issued to JEDI.

      4.35*        Common Stock Purchase Warrant Representing Right to Purchase 21,331 Shares of Common Stock of the
                   Company dated as of December 2, 1998 issued to JEDI.

      4.36*        Common Stock Purchase Warrant Representing Right to Purchase 18,372 Shares of Common Stock of the
                   Company dated as of November 30, 1998 issued to JEDI.

      5.1*         Opinion of Haynes and Boone, LLP. 23.1* Consent of Ernst & Young LLP.

      23.1*        Consent of Ernst & Young LLP.

      23.2*        Consent of Haynes and Boone, LLP, contained in the opinion filed as Exhibit 5.1.

      23.3*        Consent of H.J. Gruy and Associates, Inc.

      23.4*        Consent of Harper & Associates, Inc.

      23.5*        Consent of Ryder Scott Company.

      24.1*        Power of Attorney, included as part of signature page of this Registration Statement.
</TABLE>

- --------------
*    Filed herewith.



                                      II-10

<PAGE>   1


                                                                    EXHIBIT 4.18

- --------------------------------------------------------------------------------

THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.

- --------------------------------------------------------------------------------


WARRANT TO PURCHASE
  80,108 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 80,108 shares (as such number of shares may be adjusted pursuant to the
terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per share,
of the Company, at a price per share equal to the Exercise Price (as defined
below). This Warrant is issued to the Holder (together with such other warrants
as may be issued in exchange, transfer or replacement of this Warrant, the
"Warrants") pursuant to the Securities Purchase Agreement (as defined below) and
entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.



<PAGE>   2




         Section 1. Definitions. The following terms, as used herein, have the
following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means November 30, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $5.50. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means November 30, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.

                                      - 2 -

<PAGE>   3


         Section 2. Exercise of Warrant; Cancellations of Warrant. This Warrant
may be exercised in whole or in part, at any time or from time to time, during
the Exercise Period, by presentation and surrender hereof to the Company at its
principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3. Exchange, Transfer, Assignment or Loss of Warrant. This
Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.

                                      - 3 -

<PAGE>   4


         Section 4. Antidilution Provisions.

                (a) Adjustment of Number of Warrant Shares and Exercise Price.
                    The number of Warrant Shares purchasable pursuant hereto and
                    the Exercise Price, each shall be subject to adjustment from
                    time to time on and after the Date of Issuance as provided
                    in this Section 4(a). In case the Company shall at any time
                    after the Date of Issuance (i) pay a dividend of shares of
                    Common Stock or make a distribution of shares of Common
                    Stock, (ii) subdivide its outstanding shares of Common Stock
                    into a larger number of shares of Common Stock, (iii)
                    combine its outstanding shares of Common Stock into a
                    smaller number of shares of Common Stock or (iv) issue any
                    shares of its capital stock or other assets in a
                    reclassification or reorganization of the Common Stock
                    (including any such reclassification in connection with a
                    consolidation or merger in which the Company is the
                    continuing entity), then (x) the securities purchasable
                    pursuant hereto shall be adjusted to the number of Warrant
                    Shares and amount of any other securities, cash or other
                    property of the Company which the Holder would have owned or
                    have been entitled to receive after the happening of any of
                    the events described above, had this Warrant been exercised
                    immediately prior to the happening of such event or any
                    record date with respect thereto, and (y) the Exercise Price
                    shall be adjusted to equal the Exercise Price immediately
                    prior to the adjustment multiplied by a fraction, (A) the
                    numerator of which is the number of Warrant Shares for which
                    this Warrant is exercisable immediately prior to the
                    adjustment, and (B) the denominator of which is the number
                    of shares for which this Warrant is exercisable immediately
                    after such adjustment. The adjustments made pursuant to this
                    Section 4(a) shall become effective immediately after the
                    effective date of the event creating such right of
                    adjustment, retroactive to the record date, if any, for such
                    event. Any Warrant Shares purchasable as a result of such
                    adjustment shall not be issued prior to the effective date
                    of such event.

                    For the purpose of this Section 4(a) and (b), the term
                "shares of Common Stock" means (i) the classes of stock
                designated as the Common Stock of the Company as of the date
                hereof, or (ii) any other class of stock resulting from
                successive changes or reclassifications of such shares
                consisting solely of changes in par value, or from par value to
                no par value, or from no par value to par value. In the event
                that at any time, as a result of an adjustment made pursuant to
                this Section 4(a), the Holder shall become entitled to receive
                any securities of the Company other than shares of Common Stock,
                thereafter the number of such other securities so receivable
                upon exercise of this Warrant shall be subject to

                                     - 4 -

<PAGE>   5

                adjustment from time to time in a manner and on terms as nearly
                equivalent as practicable to the provisions with respect to the
                Warrant Shares contained in this Section 4.

                (b) Reorganization, Merger, etc. If any capital reorganization,
                    reclassification or similar transaction involving the
                    capital stock of the Company (other than as specified in
                    Section 4(a)), any consolidation, merger or business
                    combination of the Company with another corporation or the
                    sale or conveyance of all or any substantial part of its
                    assets to another corporation, shall be effected in such a
                    way that holders of the shares of Common Stock shall be
                    entitled to receive stock, securities or assets (including,
                    without limitation, cash) with respect to or in exchange for
                    shares of the Common Stock, then, prior to and as a
                    condition of such reorganization, reclassification, similar
                    transaction, consolidation, merger, business combination,
                    sale or conveyance, lawful and adequate provision shall be
                    made whereby the Holder shall thereafter have the right to
                    purchase and receive upon the basis and upon the terms and
                    conditions specified in this Warrant and in lieu of the
                    Warrant Shares immediately theretofore purchasable and
                    receivable upon the exercise of this Warrant, such shares of
                    stock, securities or assets as may be issued or payable with
                    respect to or in exchange for a number of outstanding
                    Warrant Shares equal to the number of Warrant Shares
                    immediately theretofore purchasable and receivable upon the
                    exercise of this Warrant had such reorganization,
                    reclassification, similar transaction, consolidation,
                    merger, business combination, sale or conveyance not taken
                    place. The Company shall not effect any such consolidation,
                    merger, business combination, sale or conveyance unless
                    prior to or simultaneously with the consummation thereof the
                    survivor or successor corporation (if other than the
                    Company) resulting from such consolidation or merger or the
                    corporation purchasing such assets shall assume by written
                    instrument executed and sent to the Holder, the obligation
                    to deliver to the Holder such shares of stock, securities or
                    assets as, in accordance with the foregoing provisions, the
                    Holder may be entitled to receive.

                (c) Statement on Warrant Certificates. Irrespective of any
                    adjustments in the Exercise Price or the number or kind of
                    Warrant Shares, this Warrant may continue to express the
                    same price and number and kind of shares as are stated on
                    the front page hereof.

                                      - 5 -

<PAGE>   6


                (d) Exception to Adjustment. Anything herein to the contrary
                    notwithstanding, the Company shall not be required to make
                    any adjustment of the number of Warrant Shares issuable
                    hereunder or to the Exercise Price in the case of the
                    issuance of the Warrants or the issuance of shares of the
                    Common Stock (or other securities) upon exercise of the
                    Warrants.

                (e) Treasury Shares. The number of shares of the Common Stock
                    outstanding at any time shall not include treasury shares or
                    shares owned or held by or for the account of the Company or
                    any of its subsidiaries, and the disposition of any such
                    shares shall be considered an issue or sale of the Common
                    Stock for the purposes of this Section 4.

                (f) Adjustment Notices to Holder. Upon any increase or decrease
                    in the number of Warrant Shares purchasable upon the
                    exercise of this Warrant or the Exercise Price the Company
                    shall, within 30 days thereafter, deliver written notice
                    thereof to all Holders, which notice shall state the
                    increased or decreased number of Warrant Shares purchasable
                    upon the exercise of this Warrant and the adjusted Exercise
                    Price, setting forth in reasonable detail the method of
                    calculation and the facts upon which such calculations are
                    based.

         Section 5. Notification by the Company. In case at any time while this
Warrant remains outstanding:

                (a) the Company shall declare any dividend or make any
                    distribution upon its Common Stock or any other class of its
                    capital stock; or

                (b) the Company shall offer for subscription pro rata to the
                    holders of its Common Stock or any other class of its
                    capital stock any additional shares of stock of any class or
                    any other securities convertible into or exchangeable for
                    shares of stock or any rights or options to subscribe
                    thereto; or

                (c) the Board of Directors of the Company shall authorize any
                    capital reorganization, reclassification or similar
                    transaction involving the capital stock of the Company, or a
                    sale or conveyance of all or a substantial part of the
                    assets of the Company, or a consolidation, merger or
                    business combination of the Company with another Person; or

                                      - 6 -

<PAGE>   7





                (d) actions or proceedings shall be authorized or commenced for
                    a voluntary or involuntary dissolution, liquidation or
                    winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

         Section 6. No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7. Amendment and Waiver.

                (a) No failure or delay of the Holder in exercising any power or
                    right hereunder shall operate as a waiver thereof, nor shall
                    any single or partial exercise of such right or power, or
                    any abandonment or discontinuance of steps to enforce such a
                    right or power, preclude any other or further exercise
                    thereof or the exercise of any other right or power. The
                    rights and remedies of the Holder are cumulative and not
                    exclusive of any rights or remedies which it would otherwise
                    have. The provisions of this Warrant may be amended,
                    modified or waived with (and only with) the written consent
                    of the Company and the Required Holders.

                (b) No notice or demand on the Company in any case shall entitle
                    the Company to any other or further notice or demand in
                    similar or other circumstances.

                                     - 7 -

<PAGE>   8


         Section 8. No Fractional Warrant Shares. The Company shall not be
required to issue stock certificates representing fractions of Warrant Shares,
but shall in respect of any fraction of a Warrant Share make a payment in cash
based on the Value of the Common Stock after giving effect to the full exercise
or conversion of the Warrants.

         Section 9. Reservation of Warrant Shares. The Company shall authorize,
reserve and keep available at all times, free from preemptive rights, a
sufficient number of Warrant Shares to satisfy the requirements of this Warrant.

         Section 10. Notices. Unless otherwise specified, whenever this Warrant
requires or permits any consent, approval, notice, request, or demand from one
party to another, that communication must be in writing (which may be by
telecopy) to be effective and is deemed to have been given (a) if by telecopy,
when transmitted to the appropriate telecopy number (and all communications sent
by telecopy must be confirmed promptly by telephone; but any requirement in this
parenthetical does not affect the date when the telecopy is deemed to have been
delivered), or (b) if by any other means, including by internationally
acceptable courier or hand delivery, when actually delivered. Until changed by
notice pursuant to this Warrant, the address (and telecopy number) for the
Holder and the Company are:

         If to Holder:    Joint Energy Development Investments
                            Limited Partnership
                          c/o Enron Corp.
                          1400 Smith Street
                          Houston, Texas  77002
                          Attn:  Donna Lowry - Director, 28th Floor
                          Facsimile: (713) 646-3602

         If to Company:   Queen Sand Resources, Inc.
                          13760 Noel Road, Suite 1030
                          Dallas, Texas 75240-7336
                          Attn: Robert P. Lindsay
                          Facsimile: (214) 521-9960

         With copies to:  Queen Sand Resources, Inc.
                          30 Metcalfe Street, Suite 620
                          Ottawa, Canada K1P 5L4
                          Attn:  Edward J. Munden
                          Facsimile: (613) 230-6055

                                      - 8 -

<PAGE>   9


                          Haynes and Boone, LLP
                          901 Main Street, Suite 3100
                          Dallas, Texas 75202
                          Attn: William L. Boeing, Esq.
                          Facsimile: (214) 651-5940

         Section 11. Section and Other Headings. The headings contained in this
Warrant are for reference purposes only and will not affect in any way the
meaning or interpretation of this Warrant.

         Section 12. Governing Law. THIS WARRANT SHALL BE GOVERNED BY, AND
CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

         Section 13. Binding Effect. The terms and provisions of this Warrant
shall inure to the benefit of the Holder and its successors and assigns and
shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *

                                      - 9 -

<PAGE>   10




         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of November 30, 1998.


                                       QUEEN SAND RESOURCES, INC.


Attest:                                By:
       ----------------------------       --------------------------------------
       V. Ed Butler                    Name:  Robert P. Lindsay
       Assistant Secretary             Title: Chief Operating Officer and
                                               Executive Vice President

                                     - 10 -

<PAGE>   11


                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of $__________.


                                       Name of Holder:



                                       ------------------------------------

                                       Signature:
                                                 --------------------------
                                       Title:
                                             ------------------------------
                                       Address:
                                               ----------------------------

                                       ------------------------------------

                                       ------------------------------------

Dated: ____________, _____

                                     - 11 -

<PAGE>   12


                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                       Name of Holder:



                                       ------------------------------------

                                       Signature:
                                                 --------------------------
                                       Title:
                                             ------------------------------
                                       Address:
                                               ----------------------------

                                       ------------------------------------

                                       ------------------------------------

Dated: ____________, _____

In the presence of

- --------------------------------------

                                     NOTICE:

The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.

                                     - 12 -

<PAGE>   1
                                                                    EXHIBIT 4.19

- --------------------------------------------------------------------------------

THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.

- --------------------------------------------------------------------------------

WARRANT TO PURCHASE
 4,329 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 4,329 shares (as such number of shares may be adjusted pursuant to the
terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per share,
of the Company, at a price per share equal to the Exercise Price (as defined
below). This Warrant is issued to the Holder (together with such other warrants
as may be issued in exchange, transfer or replacement of this Warrant, the
"Warrants") pursuant to the Securities Purchase Agreement (as defined below) and
entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.



<PAGE>   2

         Section 1.   Definitions.  The following terms, as used herein, have 
the following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means September 11, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $7.4375. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means September 11, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.



                                      - 2 -

<PAGE>   3

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.

         Section 2.   Exercise of Warrant; Cancellations of Warrant. This
Warrant may be exercised in whole or in part, at any time or from time to time,
during the Exercise Period, by presentation and surrender hereof to the Company
at its principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3.   Exchange, Transfer, Assignment or Loss of Warrant. This
Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at


                                      - 3 -

<PAGE>   4
a level reasonably satisfactory to the Company), and upon surrender and 
cancellation of this Warrant, if mutilated, the Company shall execute and
deliver a new Warrant of like tenor and date.

         Section 4.   Antidilution Provisions.

                (a)   Adjustment of Number of Warrant Shares and Exercise Price.
                      The number of Warrant Shares purchasable pursuant hereto
                      and the Exercise Price, each shall be subject to
                      adjustment from time to time on and after the Date of
                      Issuance as provided in this Section 4(a). In case the
                      Company shall at any time after the Date of Issuance (i)
                      pay a dividend of shares of Common Stock or make a
                      distribution of shares of Common Stock, (ii) subdivide its
                      outstanding shares of Common Stock into a larger number of
                      shares of Common Stock, (iii) combine its outstanding
                      shares of Common Stock into a smaller number of shares of
                      Common Stock or (iv) issue any shares of its capital stock
                      or other assets in a reclassification or reorganization of
                      the Common Stock (including any such reclassification in
                      connection with a consolidation or merger in which the
                      Company is the continuing entity), then (x) the securities
                      purchasable pursuant hereto shall be adjusted to the
                      number of Warrant Shares and amount of any other
                      securities, cash or other property of the Company which
                      the Holder would have owned or have been entitled to
                      receive after the happening of any of the events described
                      above, had this Warrant been exercised immediately prior
                      to the happening of such event or any record date with
                      respect thereto, and (y) the Exercise Price shall be
                      adjusted to equal the Exercise Price immediately prior to
                      the adjustment multiplied by a fraction, (A) the numerator
                      of which is the number of Warrant Shares for which this
                      Warrant is exercisable immediately prior to the
                      adjustment, and (B) the denominator of which is the number
                      of shares for which this Warrant is exercisable
                      immediately after such adjustment. The adjustments made
                      pursuant to this Section 4(a) shall become effective
                      immediately after the effective date of the event creating
                      such right of adjustment, retroactive to the record date,
                      if any, for such event. Any Warrant Shares purchasable as
                      a result of such adjustment shall not be issued prior to
                      the effective date of such event.


                                      - 4 -

<PAGE>   5
                      For the purpose of this Section 4(a) and (b), the term
                "shares of Common Stock" means (i) the classes of stock
                designated as the Common Stock of the Company as of the date
                hereof, or (ii) any other class of stock resulting from
                successive changes or reclassifications of such shares
                consisting solely of changes in par value, or from par value to
                no par value, or from no par value to par value. In the event
                that at any time, as a result of an adjustment made pursuant to
                this Section 4(a), the Holder shall become entitled to receive
                any securities of the Company other than shares of Common Stock,
                thereafter the number of such other securities so receivable
                upon exercise of this Warrant shall be subject to adjustment
                from time to time in a manner and on terms as nearly equivalent
                as practicable to the provisions with respect to the Warrant
                Shares contained in this Section 4.

                (b)   Reorganization, Merger, etc. If any capital 
                      reorganization, reclassification or similar transaction
                      involving the capital stock of the Company (other than as
                      specified in Section 4(a)), any consolidation, merger or
                      business combination of the Company with another
                      corporation or the sale or conveyance of all or any
                      substantial part of its assets to another corporation,
                      shall be effected in such a way that holders of the shares
                      of Common Stock shall be entitled to receive stock,
                      securities or assets (including, without limitation, cash)
                      with respect to or in exchange for shares of the Common
                      Stock, then, prior to and as a condition of such
                      reorganization, reclassification, similar transaction,
                      consolidation, merger, business combination, sale or
                      conveyance, lawful and adequate provision shall be made
                      whereby the Holder shall thereafter have the right to
                      purchase and receive upon the basis and upon the terms and
                      conditions specified in this Warrant and in lieu of the
                      Warrant Shares immediately theretofore purchasable and
                      receivable upon the exercise of this Warrant, such shares
                      of stock, securities or assets as may be issued or payable
                      with respect to or in exchange for a number of outstanding
                      Warrant Shares equal to the number of Warrant Shares
                      immediately theretofore purchasable and receivable upon
                      the exercise of this Warrant had such reorganization,
                      reclassification, similar transaction, consolidation,
                      merger, business combination, sale or conveyance not taken
                      place. The Company shall not effect any such
                      consolidation, merger, business combination, sale or
                      conveyance unless prior to or simultaneously with the
                      consummation

                                      - 5 -

<PAGE>   6
                      thereof the survivor or successor corporation (if other
                      than the Company) resulting from such consolidation or
                      merger or the corporation purchasing such assets shall
                      assume by written instrument executed and sent to the
                      Holder, the obligation to deliver to the Holder such
                      shares of stock, securities or assets as, in accordance
                      with the foregoing provisions, the Holder may be entitled
                      to receive.

                (c)   Statement on Warrant Certificates. Irrespective of any 
                      adjustments in the Exercise Price or the number or kind of
                      Warrant Shares, this Warrant may continue to express the
                      same price and number and kind of shares as are stated on
                      the front page hereof.

                (d)   Exception to Adjustment. Anything herein to the contrary
                      notwithstanding, the Company shall not be required to make
                      any adjustment of the number of Warrant Shares issuable
                      hereunder or to the Exercise Price in the case of the
                      issuance of the Warrants or the issuance of shares of the
                      Common Stock (or other securities) upon exercise of the
                      Warrants.

                (e)   Treasury Shares. The number of shares of the Common Stock 
                      outstanding at any time shall not include treasury shares
                      or shares owned or held by or for the account of the
                      Company or any of its subsidiaries, and the disposition of
                      any such shares shall be considered an issue or sale of
                      the Common Stock for the purposes of this Section 4.

                (f)   Adjustment Notices to Holder. Upon any increase or
                      decrease in the number of Warrant Shares purchasable upon
                      the exercise of this Warrant or the Exercise Price the
                      Company shall, within 30 days thereafter, deliver written
                      notice thereof to all Holders, which notice shall state
                      the increased or decreased number of Warrant Shares
                      purchasable upon the exercise of this Warrant and the
                      adjusted Exercise Price, setting forth in reasonable
                      detail the method of calculation and the facts upon which
                      such calculations are based.



                                      - 6 -

<PAGE>   7
         Section 5.   Notification by the Company. In case at any time while
this Warrant remains outstanding:

                (a)   the Company shall declare any dividend or make any 
                      distribution upon its Common Stock or any other class of
                      its capital stock; or

                (b)   the Company shall offer for subscription pro rata to the 
                      holders of its Common Stock or any other class of its
                      capital stock any additional shares of stock of any class
                      or any other securities convertible into or exchangeable
                      for shares of stock or any rights or options to subscribe
                      thereto; or

                (c)   the Board of Directors of the Company shall authorize any 
                      capital reorganization, reclassification or similar
                      transaction involving the capital stock of the Company, or
                      a sale or conveyance of all or a substantial part of the
                      assets of the Company, or a consolidation, merger or
                      business combination of the Company with another Person;
                      or

                (d)   actions or proceedings shall be authorized or commenced
                      for a voluntary or involuntary dissolution, liquidation or
                      winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.


                                      - 7 -

<PAGE>   8
         Section 6.   No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7.   Amendment and Waiver.

                (a)   No failure or delay of the Holder in exercising any power
                      or right hereunder shall operate as a waiver thereof, nor
                      shall any single or partial exercise of such right or
                      power, or any abandonment or discontinuance of steps to
                      enforce such a right or power, preclude any other or
                      further exercise thereof or the exercise of any other
                      right or power. The rights and remedies of the Holder are
                      cumulative and not exclusive of any rights or remedies
                      which it would otherwise have. The provisions of this
                      Warrant may be amended, modified or waived with (and only
                      with) the written consent of the Company and the Required
                      Holders.

                (b)   No notice or demand on the Company in any case shall 
                      entitle the Company to any other or further notice or
                      demand in similar or other circumstances.

         Section 8.   No Fractional Warrant Shares. The Company shall not be
required to issue stock certificates representing fractions of Warrant Shares,
but shall in respect of any fraction of a Warrant Share make a payment in cash
based on the Value of the Common Stock after giving effect to the full exercise
or conversion of the Warrants.

         Section 9.   Reservation of Warrant Shares. The Company shall
authorize, reserve and keep available at all times, free from preemptive rights,
a sufficient number of Warrant Shares to satisfy the requirements of this
Warrant.

         Section 10.  Notices. Unless otherwise specified, whenever this Warrant
requires or permits any consent, approval, notice, request, or demand from one
party to another, that communication must be in writing (which may be by
telecopy) to be effective and is deemed to have been given (a) if by telecopy,
when transmitted to the appropriate telecopy number (and all communications sent
by telecopy must be confirmed promptly by telephone; but any requirement

                                     - 8 -

<PAGE>   9

in this parenthetical does not affect the date when the telecopy is deemed to
have been delivered), or (b) if by any other means, including by internationally
acceptable courier or hand delivery, when actually delivered. Until changed by
notice pursuant to this Warrant, the address (and telecopy number) for the
Holder and the Company are:

      If to Holder:    Joint Energy Development Investments Limited Partnership
                       c/o Enron Corp.
                       1400 Smith Street
                       Houston, Texas  77002
                       Attn:  Donna Lowry - Director, 28th Floor
                       Facsimile: (713) 646-3602

      If to Company:   Queen Sand Resources, Inc.
                       13760 Noel Road, Suite 1030
                       Dallas, Texas 75240-7336
                       Attn:  Robert P. Lindsay
                       Facsimile: (214) 521-9960

      With copies to:  Queen Sand Resources, Inc.
                       30 Metcalfe Street, Suite 620
                       Ottawa, Canada K1P 5L4
                       Attn:  Edward J. Munden
                       Facsimile: (613) 230-6055

                       Haynes and Boone, LLP
                       901 Main Street, Suite 3100
                       Dallas, Texas 75202
                       Attn: William L. Boeing, Esq.
                       Facsimile: (214) 651-5940

         Section 11.  Section and Other Headings. The headings contained in this
Warrant are for reference purposes only and will not affect in any way the
meaning or interpretation of this Warrant.

         Section 12.  Governing Law. THIS WARRANT SHALL BE GOVERNED BY, AND 
CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

                                     - 9 -
<PAGE>   10
         Section 13.  Binding Effect. The terms and provisions of this Warrant
shall inure to the benefit of the Holder and its successors and assigns and
shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *


                                     - 10 -

<PAGE>   11
         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of September 11, 1998.


                                         QUEEN SAND RESOURCES, INC.


Attest:                                  By:
       -----------------------               -------------------------------
       V. Ed Butler                      Name:  Robert P. Lindsay
       Assistant Secretary               Title: Chief Operating Officer and
                                                  Executive Vice President



                                     - 11 -

<PAGE>   12
                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of
$__________.


                                      Name of Holder:



                                      -----------------------------------

                                      Signature:
                                                -------------------------
                                      Title:
                                            -----------------------------
                                      Address:
                                              ---------------------------
                                      -----------------------------------
                                      -----------------------------------


Dated: ____________, _____




                                     - 12 -

<PAGE>   13
                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                      Name of Holder:



                                      -----------------------------------

                                      Signature:
                                                -------------------------
                                      Title:
                                            -----------------------------
                                      Address:
                                              ---------------------------
                                      -----------------------------------
                                      -----------------------------------


Dated: _____________, ____

In the presence of

- -----------------------------------



                                     - 13 -

<PAGE>   14
                                     NOTICE:

The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.




                                     - 14 -

<PAGE>   1
                                                                    EXHIBIT 4.20

- --------------------------------------------------------------------------------


THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.

- --------------------------------------------------------------------------------


WARRANT TO PURCHASE
 206,340 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 206,340 shares (as such number of shares may be adjusted pursuant to
the terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per
share, of the Company, at a price per share equal to the Exercise Price (as
defined below). This Warrant is issued to the Holder (together with such other
warrants as may be issued in exchange, transfer or replacement of this Warrant,
the "Warrants") pursuant to the Securities Purchase Agreement (as defined below)
and entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.



<PAGE>   2



         Section 1. Definitions. The following terms, as used herein, have the
following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means November 23, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $6.00. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means November 23, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.


                                      - 2 -

<PAGE>   3



         Section 2. Exercise of Warrant; Cancellations of Warrant. This Warrant
may be exercised in whole or in part, at any time or from time to time, during
the Exercise Period, by presentation and surrender hereof to the Company at its
principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3. Exchange, Transfer, Assignment or Loss of Warrant. This
Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.



                                      - 3 -

<PAGE>   4



         Section 4. Antidilution Provisions.

                (a) Adjustment of Number of Warrant Shares and Exercise Price.
                    The number of Warrant Shares purchasable pursuant hereto and
                    the Exercise Price, each shall be subject to adjustment from
                    time to time on and after the Date of Issuance as provided
                    in this Section 4(a). In case the Company shall at any time
                    after the Date of Issuance (i) pay a dividend of shares of
                    Common Stock or make a distribution of shares of Common
                    Stock, (ii) subdivide its outstanding shares of Common Stock
                    into a larger number of shares of Common Stock, (iii)
                    combine its outstanding shares of Common Stock into a
                    smaller number of shares of Common Stock or (iv) issue any
                    shares of its capital stock or other assets in a
                    reclassification or reorganization of the Common Stock
                    (including any such reclassification in connection with a
                    consolidation or merger in which the Company is the
                    continuing entity), then (x) the securities purchasable
                    pursuant hereto shall be adjusted to the number of Warrant
                    Shares and amount of any other securities, cash or other
                    property of the Company which the Holder would have owned or
                    have been entitled to receive after the happening of any of
                    the events described above, had this Warrant been exercised
                    immediately prior to the happening of such event or any
                    record date with respect thereto, and (y) the Exercise Price
                    shall be adjusted to equal the Exercise Price immediately
                    prior to the adjustment multiplied by a fraction, (A) the
                    numerator of which is the number of Warrant Shares for which
                    this Warrant is exercisable immediately prior to the
                    adjustment, and (B) the denominator of which is the number
                    of shares for which this Warrant is exercisable immediately
                    after such adjustment. The adjustments made pursuant to this
                    Section 4(a) shall become effective immediately after the
                    effective date of the event creating such right of
                    adjustment, retroactive to the record date, if any, for such
                    event. Any Warrant Shares purchasable as a result of such
                    adjustment shall not be issued prior to the effective date
                    of such event.

                    For the purpose of this Section 4(a) and (b), the term
                "shares of Common Stock" means (i) the classes of stock
                designated as the Common Stock of the Company as of the date
                hereof, or (ii) any other class of stock resulting from
                successive changes or reclassifications of such shares
                consisting solely of changes in par value, or from par value to
                no par value, or from no par value to par value. In the event
                that at any time, as a result of an adjustment made pursuant to
                this Section 4(a), the Holder shall become entitled to receive
                any securities of the Company other than shares of Common Stock,
                thereafter the number of such other securities so receivable
                upon exercise of this Warrant shall be subject to


                                      - 4 -

<PAGE>   5



                adjustment from time to time in a manner and on terms as nearly
                equivalent as practicable to the provisions with respect to the
                Warrant Shares contained in this Section 4.

                (b) Reorganization, Merger, etc. If any capital reorganization,
                    reclassification or similar transaction involving the
                    capital stock of the Company (other than as specified in
                    Section 4(a)), any consolidation, merger or business
                    combination of the Company with another corporation or the
                    sale or conveyance of all or any substantial part of its
                    assets to another corporation, shall be effected in such a
                    way that holders of the shares of Common Stock shall be
                    entitled to receive stock, securities or assets (including,
                    without limitation, cash) with respect to or in exchange for
                    shares of the Common Stock, then, prior to and as a
                    condition of such reorganization, reclassification, similar
                    transaction, consolidation, merger, business combination,
                    sale or conveyance, lawful and adequate provision shall be
                    made whereby the Holder shall thereafter have the right to
                    purchase and receive upon the basis and upon the terms and
                    conditions specified in this Warrant and in lieu of the
                    Warrant Shares immediately theretofore purchasable and
                    receivable upon the exercise of this Warrant, such shares of
                    stock, securities or assets as may be issued or payable with
                    respect to or in exchange for a number of outstanding
                    Warrant Shares equal to the number of Warrant Shares
                    immediately theretofore purchasable and receivable upon the
                    exercise of this Warrant had such reorganization,
                    reclassification, similar transaction, consolidation,
                    merger, business combination, sale or conveyance not taken
                    place. The Company shall not effect any such consolidation,
                    merger, business combination, sale or conveyance unless
                    prior to or simultaneously with the consummation thereof the
                    survivor or successor corporation (if other than the
                    Company) resulting from such consolidation or merger or the
                    corporation purchasing such assets shall assume by written
                    instrument executed and sent to the Holder, the obligation
                    to deliver to the Holder such shares of stock, securities or
                    assets as, in accordance with the foregoing provisions, the
                    Holder may be entitled to receive.

                (c) Statement on Warrant Certificates. Irrespective of any
                    adjustments in the Exercise Price or the number or kind of
                    Warrant Shares, this Warrant may continue to express the
                    same price and number and kind of shares as are stated on
                    the front page hereof.



                                      - 5 -

<PAGE>   6



                (d) Exception to Adjustment. Anything herein to the contrary
                    notwithstanding, the Company shall not be required to make
                    any adjustment of the number of Warrant Shares issuable
                    hereunder or to the Exercise Price in the case of the
                    issuance of the Warrants or the issuance of shares of the
                    Common Stock (or other securities) upon exercise of the
                    Warrants.

                (e) Treasury Shares. The number of shares of the Common Stock
                    outstanding at any time shall not include treasury shares or
                    shares owned or held by or for the account of the Company or
                    any of its subsidiaries, and the disposition of any such
                    shares shall be considered an issue or sale of the Common
                    Stock for the purposes of this Section 4.

                (f) Adjustment Notices to Holder. Upon any increase or decrease
                    in the number of Warrant Shares purchasable upon the
                    exercise of this Warrant or the Exercise Price the Company
                    shall, within 30 days thereafter, deliver written notice
                    thereof to all Holders, which notice shall state the
                    increased or decreased number of Warrant Shares purchasable
                    upon the exercise of this Warrant and the adjusted Exercise
                    Price, setting forth in reasonable detail the method of
                    calculation and the facts upon which such calculations are
                    based.

         Section 5. Notification by the Company. In case at any time while this
Warrant remains outstanding:

                (a) the Company shall declare any dividend or make any
                    distribution upon its Common Stock or any other class of its
                    capital stock; or

                (b) the Company shall offer for subscription pro rata to the
                    holders of its Common Stock or any other class of its
                    capital stock any additional shares of stock of any class or
                    any other securities convertible into or exchangeable for
                    shares of stock or any rights or options to subscribe
                    thereto; or

                (c) the Board of Directors of the Company shall authorize any
                    capital reorganization, reclassification or similar
                    transaction involving the capital stock of the Company, or a
                    sale or conveyance of all or a substantial part of the
                    assets of the Company, or a consolidation, merger or
                    business combination of the Company with another Person; or


                                      - 6 -

<PAGE>   7




                (d) actions or proceedings shall be authorized or commenced for
                    a voluntary or involuntary dissolution, liquidation or
                    winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

         Section 6. No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7. Amendment and Waiver.

                (a) No failure or delay of the Holder in exercising any power or
                    right hereunder shall operate as a waiver thereof, nor shall
                    any single or partial exercise of such right or power, or
                    any abandonment or discontinuance of steps to enforce such a
                    right or power, preclude any other or further exercise
                    thereof or the exercise of any other right or power. The
                    rights and remedies of the Holder are cumulative and not
                    exclusive of any rights or remedies which it would otherwise
                    have. The provisions of this Warrant may be amended,
                    modified or waived with (and only with) the written consent
                    of the Company and the Required Holders.

                (b) No notice or demand on the Company in any case shall entitle
                    the Company to any other or further notice or demand in
                    similar or other circumstances.


                                      - 7 -

<PAGE>   8


         Section 8. No Fractional Warrant Shares. The Company shall not be
required to issue stock certificates representing fractions of Warrant Shares,
but shall in respect of any fraction of a Warrant Share make a payment in cash
based on the Value of the Common Stock after giving effect to the full exercise
or conversion of the Warrants.

         Section 9. Reservation of Warrant Shares. The Company shall authorize,
reserve and keep available at all times, free from preemptive rights, a
sufficient number of Warrant Shares to satisfy the requirements of this Warrant.

         Section 10. Notices. Unless otherwise specified, whenever this Warrant
requires or permits any consent, approval, notice, request, or demand from one
party to another, that communication must be in writing (which may be by
telecopy) to be effective and is deemed to have been given (a) if by telecopy,
when transmitted to the appropriate telecopy number (and all communications sent
by telecopy must be confirmed promptly by telephone; but any requirement in this
parenthetical does not affect the date when the telecopy is deemed to have been
delivered), or (b) if by any other means, including by internationally
acceptable courier or hand delivery, when actually delivered. Until changed by
notice pursuant to this Warrant, the address (and telecopy number) for the
Holder and the Company are:

         If to Holder:    Joint Energy Development Investments Limited 
                          Partnership
                          c/o Enron Corp.
                          1400 Smith Street
                          Houston, Texas  77002
                          Attn:  Donna Lowry - Director, 28th Floor
                          Facsimile: (713) 646-3602

         If to Company:   Queen Sand Resources, Inc.
                          13760 Noel Road, Suite 1030
                          Dallas, Texas 75240-7336
                          Attn:  Robert P. Lindsay
                          Facsimile: (214) 521-9960

         With copies to:  Queen Sand Resources, Inc.
                          30 Metcalfe Street, Suite 620
                          Ottawa, Canada K1P 5L4
                          Attn:  Edward J. Munden
                          Facsimile: (613) 230-6055


                                      - 8 -

<PAGE>   9



                          Haynes and Boone, LLP
                          901 Main Street, Suite 3100
                          Dallas, Texas  75202
                          Attn:  William L. Boeing, Esq.
                          Facsimile:  (214) 651-5940

         Section 11. Section and Other Headings. The headings contained in this
Warrant are for reference purposes only and will not affect in any way the
meaning or interpretation of this Warrant.

         Section 12. Governing Law. THIS WARRANT SHALL BE GOVERNED BY, AND
CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

         Section 13. Binding Effect. The terms and provisions of this Warrant
shall inure to the benefit of the Holder and its successors and assigns and
shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *


                                      - 9 -

<PAGE>   10



         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of November 23, 1998.


                                        QUEEN SAND RESOURCES, INC.


Attest: /s/ V. ED BUTLER                By: /s/ ROBERT P. LINDSAY
       ---------------------------         -----------------------------------
         V. Ed Butler                   Name:   Robert P. Lindsay
         Assistant Secretary            Title:  Chief Operating Officer and
                                                 Executive Vice President





                                     - 10 -

<PAGE>   11



                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of
$__________.


                                    Name of Holder:


                                    ------------------------------------------

                                    Signature:
                                              --------------------------------
                                    Title:
                                          ------------------------------------
                                    Address:
                                            ----------------------------------

                                    ------------------------------------------

                                    ------------------------------------------

Dated: ____________, _____


                                     - 11 -

<PAGE>   12


                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                    Name of Holder:


                                    ------------------------------------------

                                    Signature:
                                              --------------------------------
                                    Title:
                                          ------------------------------------
                                    Address:
                                            ----------------------------------

                                    ------------------------------------------

                                    ------------------------------------------


Dated: _____________, ____

In the presence of

- -----------------------------------


                                     NOTICE:

The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.


                                     - 12 -

<PAGE>   1
                                                                    EXHIBIT 4.21

- -------------------------------------------------------------------------------


THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.

- -------------------------------------------------------------------------------


Warrant to Purchase
   18,836 shares

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 18,836 shares (as such number of shares may be adjusted pursuant to the
terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per share,
of the Company, at a price per share equal to the Exercise Price (as defined
below). This Warrant is issued to the Holder (together with such other warrants
as may be issued in exchange, transfer or replacement of this Warrant, the
"Warrants") pursuant to the Securities Purchase Agreement (as defined below) and
entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.





<PAGE>   2



         Section 1. Definitions. The following terms, as used herein, have the
following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means November 27, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $5.50. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means November 27, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.



                                      - 2 -

<PAGE>   3



         Section 2. Exercise of Warrant; Cancellations of Warrant. This Warrant
may be exercised in whole or in part, at any time or from time to time, during
the Exercise Period, by presentation and surrender hereof to the Company at its
principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3. Exchange, Transfer, Assignment or Loss of Warrant. This
Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.




                                      - 3 -

<PAGE>   4



         Section 4. Antidilution Provisions.

                  (a)      Adjustment of Number of Warrant Shares and Exercise
                           Price. The number of Warrant Shares purchasable
                           pursuant hereto and the Exercise Price, each shall be
                           subject to adjustment from time to time on and after
                           the Date of Issuance as provided in this Section
                           4(a). In case the Company shall at any time after the
                           Date of Issuance (i) pay a dividend of shares of
                           Common Stock or make a distribution of shares of
                           Common Stock, (ii) subdivide its outstanding shares
                           of Common Stock into a larger number of shares of
                           Common Stock, (iii) combine its outstanding shares of
                           Common Stock into a smaller number of shares of
                           Common Stock or (iv) issue any shares of its capital
                           stock or other assets in a reclassification or
                           reorganization of the Common Stock (including any
                           such reclassification in connection with a
                           consolidation or merger in which the Company is the
                           continuing entity), then (x) the securities
                           purchasable pursuant hereto shall be adjusted to the
                           number of Warrant Shares and amount of any other
                           securities, cash or other property of the Company
                           which the Holder would have owned or have been
                           entitled to receive after the happening of any of the
                           events described above, had this Warrant been
                           exercised immediately prior to the happening of such
                           event or any record date with respect thereto, and
                           (y) the Exercise Price shall be adjusted to equal the
                           Exercise Price immediately prior to the adjustment
                           multiplied by a fraction, (A) the numerator of which
                           is the number of Warrant Shares for which this
                           Warrant is exercisable immediately prior to the
                           adjustment, and (B) the denominator of which is the
                           number of shares for which this Warrant is
                           exercisable immediately after such adjustment. The
                           adjustments made pursuant to this Section 4(a) shall
                           become effective immediately after the effective date
                           of the event creating such right of adjustment,
                           retroactive to the record date, if any, for such
                           event. Any Warrant Shares purchasable as a result of
                           such adjustment shall not be issued prior to the
                           effective date of such event.

                           For the purpose of this Section 4(a) and (b), the
                  term "shares of Common Stock" means (i) the classes of stock
                  designated as the Common Stock of the Company as of the date
                  hereof, or (ii) any other class of stock resulting from
                  successive changes or reclassifications of such shares
                  consisting solely of changes in par value, or from par value
                  to no par value, or from no par value to par value. In the
                  event that at any time, as a result of an adjustment made
                  pursuant to this Section 4(a), the Holder shall become
                  entitled to receive any securities of the Company other than
                  shares of Common Stock, thereafter the number of such other
                  securities so receivable upon exercise of this Warrant shall
                  be subject to


                                     - 4 -
<PAGE>   5


                  adjustment from time to time in a manner and on terms as
                  nearly equivalent as practicable to the provisions with
                  respect to the Warrant Shares contained in this Section 4.

                  (b)      Reorganization, Merger, etc. If any capital
                           reorganization, reclassification or similar
                           transaction involving the capital stock of the
                           Company (other than as specified in Section 4(a)),
                           any consolidation, merger or business combination of
                           the Company with another corporation or the sale or
                           conveyance of all or any substantial part of its
                           assets to another corporation, shall be effected in
                           such a way that holders of the shares of Common Stock
                           shall be entitled to receive stock, securities or
                           assets (including, without limitation, cash) with
                           respect to or in exchange for shares of the Common
                           Stock, then, prior to and as a condition of such
                           reorganization, reclassification, similar
                           transaction, consolidation, merger, business
                           combination, sale or conveyance, lawful and adequate
                           provision shall be made whereby the Holder shall
                           thereafter have the right to purchase and receive
                           upon the basis and upon the terms and conditions
                           specified in this Warrant and in lieu of the Warrant
                           Shares immediately theretofore purchasable and
                           receivable upon the exercise of this Warrant, such
                           shares of stock, securities or assets as may be
                           issued or payable with respect to or in exchange for
                           a number of outstanding Warrant Shares equal to the
                           number of Warrant Shares immediately theretofore
                           purchasable and receivable upon the exercise of this
                           Warrant had such reorganization, reclassification,
                           similar transaction, consolidation, merger, business
                           combination, sale or conveyance not taken place. The
                           Company shall not effect any such consolidation,
                           merger, business combination, sale or conveyance
                           unless prior to or simultaneously with the
                           consummation thereof the survivor or successor
                           corporation (if other than the Company) resulting
                           from such consolidation or merger or the corporation
                           purchasing such assets shall assume by written
                           instrument executed and sent to the Holder, the
                           obligation to deliver to the Holder such shares of
                           stock, securities or assets as, in accordance with
                           the foregoing provisions, the Holder may be entitled
                           to receive.

                  (c)      Statement on Warrant Certificates. Irrespective of
                           any adjustments in the Exercise Price or the number
                           or kind of Warrant Shares, this Warrant may continue
                           to express the same price and number and kind of
                           shares as are stated on the front page hereof.




                                      - 5 -

<PAGE>   6



                  (d)      Exception to Adjustment. Anything herein to the
                           contrary notwithstanding, the Company shall not be
                           required to make any adjustment of the number of
                           Warrant Shares issuable hereunder or to the Exercise
                           Price in the case of the issuance of the Warrants or
                           the issuance of shares of the Common Stock (or other
                           securities) upon exercise of the Warrants.

                  (e)      Treasury Shares. The number of shares of the Common
                           Stock outstanding at any time shall not include
                           treasury shares or shares owned or held by or for the
                           account of the Company or any of its subsidiaries,
                           and the disposition of any such shares shall be
                           considered an issue or sale of the Common Stock for
                           the purposes of this Section 4.

                  (f)      Adjustment Notices to Holder. Upon any increase or
                           decrease in the number of Warrant Shares purchasable
                           upon the exercise of this Warrant or the Exercise
                           Price the Company shall, within 30 days thereafter,
                           deliver written notice thereof to all Holders, which
                           notice shall state the increased or decreased number
                           of Warrant Shares purchasable upon the exercise of
                           this Warrant and the adjusted Exercise Price, setting
                           forth in reasonable detail the method of calculation
                           and the facts upon which such calculations are based.

         Section 5. Notification by the Company. In case at any time while this
Warrant remains outstanding:

                  (a)      the Company shall declare any dividend or make any
                           distribution upon its Common Stock or any other class
                           of its capital stock; or

                  (b)      the Company shall offer for subscription pro rata to
                           the holders of its Common Stock or any other class of
                           its capital stock any additional shares of stock of
                           any class or any other securities convertible into or
                           exchangeable for shares of stock or any rights or
                           options to subscribe thereto; or

                  (c)      the Board of Directors of the Company shall authorize
                           any capital reorganization, reclassification or
                           similar transaction involving the capital stock of
                           the Company, or a sale or conveyance of all or a
                           substantial part of the assets of the Company, or a
                           consolidation, merger or business combination of the
                           Company with another Person; or



                                      - 6 -

<PAGE>   7




                  (d)      actions or proceedings shall be authorized or
                           commenced for a voluntary or involuntary dissolution,
                           liquidation or winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

         Section 6. No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7. Amendment and Waiver.

                  (a)      No failure or delay of the Holder in exercising any
                           power or right hereunder shall operate as a waiver
                           thereof, nor shall any single or partial exercise of
                           such right or power, or any abandonment or
                           discontinuance of steps to enforce such a right or
                           power, preclude any other or further exercise thereof
                           or the exercise of any other right or power. The
                           rights and remedies of the Holder are cumulative and
                           not exclusive of any rights or remedies which it
                           would otherwise have. The provisions of this Warrant
                           may be amended, modified or waived with (and only
                           with) the written consent of the Company and the
                           Required Holders.

                  (b)      No notice or demand on the Company in any case shall
                           entitle the Company to any other or further notice or
                           demand in similar or other circumstances.


                                     - 7 -
<PAGE>   8



         Section 8. No Fractional Warrant Shares. The Company shall not be
required to issue stock certificates representing fractions of Warrant Shares,
but shall in respect of any fraction of a Warrant Share make a payment in cash
based on the Value of the Common Stock after giving effect to the full exercise
or conversion of the Warrants.

         Section 9. Reservation of Warrant Shares. The Company shall authorize,
reserve and keep available at all times, free from preemptive rights, a
sufficient number of Warrant Shares to satisfy the requirements of this Warrant.

         Section 10. Notices. Unless otherwise specified, whenever this Warrant
requires or permits any consent, approval, notice, request, or demand from one
party to another, that communication must be in writing (which may be by
telecopy) to be effective and is deemed to have been given (a) if by telecopy,
when transmitted to the appropriate telecopy number (and all communications sent
by telecopy must be confirmed promptly by telephone; but any requirement in this
parenthetical does not affect the date when the telecopy is deemed to have been
delivered), or (b) if by any other means, including by internationally
acceptable courier or hand delivery, when actually delivered. Until changed by
notice pursuant to this Warrant, the address (and telecopy number) for the
Holder and the Company are:

         If to Holder:              Joint Energy Development Investments Limited
                                    Partnership c/o Enron Corp. 1400 Smith
                                    Street Houston, Texas 77002 Attn: Donna
                                    Lowry - Director, 28th Floor Facsimile:
                                    (713) 646-3602

         If to Company:             Queen Sand Resources, Inc.
                                    13760 Noel Road, Suite 1030 Dallas, Texas
                                    75240-7336 Attn: Robert P. Lindsay
                                    Facsimile: (214) 521-9960

         With copies to:            Queen Sand Resources, Inc.
                                    30 Metcalfe Street, Suite 620
                                    Ottawa, Canada K1P 5L4
                                    Attn:  Edward J. Munden
                                    Facsimile: (613) 230-6055



                                      - 8 -

<PAGE>   9



                                    Haynes and Boone, LLP
                                    901 Main Street, Suite 3100 
                                    Dallas, Texas 75202 
                                    Attn: William L. Boeing, Esq.
                                    Facsimile: (214) 651-5940

         Section 11. Section and Other Headings. The headings contained in this
Warrant are for reference purposes only and will not affect in any way the
meaning or interpretation of this Warrant.

         Section 12. Governing Law. THIS WARRANT SHALL BE GOVERNED BY, AND
CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

         Section 13. Binding Effect. The terms and provisions of this Warrant
shall inure to the benefit of the Holder and its successors and assigns and
shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *



                                      - 9 -

<PAGE>   10



         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of November 27, 1998.


                                        QUEEN SAND RESOURCES, INC.


Attest:                                 By:
       ------------------------            ------------------------------------
       V. Ed Butler                     Name:  Robert P. Lindsay
       Assistant Secretary              Title: Chief Operating Officer and
                                               Executive Vice President






                                     - 10 -

<PAGE>   11



                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of $__________.


                                        Name of Holder:




                                        Signature:
                                                  -----------------------------
                                        Title:
                                              ---------------------------------
                                        Address:
                                                -------------------------------

                                        ---------------------------------------

                                        ---------------------------------------

Dated: ____________, _____





                                     - 11 -

<PAGE>   12


                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                        Name of Holder:

                                        ---------------------------------------

                                        Signature:
                                                  -----------------------------
                                        Title:
                                              ---------------------------------
                                        Address:
                                                -------------------------------

                                        ---------------------------------------

                                        ---------------------------------------


Dated: _____________, ____

In the presence of

- ---------------------------------

                                     NOTICE:


                                     - 12 -
<PAGE>   13



The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.



                                     - 13 -





<PAGE>   1
                                                                    EXHIBIT 4.22

- --------------------------------------------------------------------------------

THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.

- --------------------------------------------------------------------------------


WARRANT TO PURCHASE
    3,160 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 3,160 shares (as such number of shares may be adjusted pursuant to the
terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per share,
of the Company, at a price per share equal to the Exercise Price (as defined
below). This Warrant is issued to the Holder (together with such other warrants
as may be issued in exchange, transfer or replacement of this Warrant, the
"Warrants") pursuant to the Securities Purchase Agreement (as defined below) and
entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.


<PAGE>   2



         Section 1. Definitions. The following terms, as used herein, have the
following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means November 25, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $6.00. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means November 25, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.



                                      - 2 -

<PAGE>   3



         Section 2. Exercise of Warrant; Cancellations of Warrant. This Warrant
may be exercised in whole or in part, at any time or from time to time, during
the Exercise Period, by presentation and surrender hereof to the Company at its
principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3. Exchange, Transfer, Assignment or Loss of Warrant. This
Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.



                                      - 3 -

<PAGE>   4



         Section 4. Antidilution Provisions.

                (a) Adjustment of Number of Warrant Shares and Exercise Price.
                    The number of Warrant Shares purchasable pursuant hereto and
                    the Exercise Price, each shall be subject to adjustment from
                    time to time on and after the Date of Issuance as provided
                    in this Section 4(a). In case the Company shall at any time
                    after the Date of Issuance (i) pay a dividend of shares of
                    Common Stock or make a distribution of shares of Common
                    Stock, (ii) subdivide its outstanding shares of Common Stock
                    into a larger number of shares of Common Stock, (iii)
                    combine its outstanding shares of Common Stock into a
                    smaller number of shares of Common Stock or (iv) issue any
                    shares of its capital stock or other assets in a
                    reclassification or reorganization of the Common Stock
                    (including any such reclassification in connection with a
                    consolidation or merger in which the Company is the
                    continuing entity), then (x) the securities purchasable
                    pursuant hereto shall be adjusted to the number of Warrant
                    Shares and amount of any other securities, cash or other
                    property of the Company which the Holder would have owned or
                    have been entitled to receive after the happening of any of
                    the events described above, had this Warrant been exercised
                    immediately prior to the happening of such event or any
                    record date with respect thereto, and (y) the Exercise Price
                    shall be adjusted to equal the Exercise Price immediately
                    prior to the adjustment multiplied by a fraction, (A) the
                    numerator of which is the number of Warrant Shares for which
                    this Warrant is exercisable immediately prior to the
                    adjustment, and (B) the denominator of which is the number
                    of shares for which this Warrant is exercisable immediately
                    after such adjustment. The adjustments made pursuant to this
                    Section 4(a) shall become effective immediately after the
                    effective date of the event creating such right of
                    adjustment, retroactive to the record date, if any, for such
                    event. Any Warrant Shares purchasable as a result of such
                    adjustment shall not be issued prior to the effective date
                    of such event.

                    For the purpose of this Section 4(a) and (b), the term
                "shares of Common Stock" means (i) the classes of stock
                designated as the Common Stock of the Company as of the date
                hereof, or (ii) any other class of stock resulting from
                successive changes or reclassifications of such shares
                consisting solely of changes in par value, or from par value to
                no par value, or from no par value to par value. In the event
                that at any time, as a result of an adjustment made pursuant to
                this Section 4(a), the Holder shall become entitled to receive
                any securities of the Company other than shares of


                                      - 4 -

<PAGE>   5



                Common Stock, thereafter the number of such other securities so
                receivable upon exercise of this Warrant shall be subject to
                adjustment from time to time in a manner and on terms as nearly
                equivalent as practicable to the provisions with respect to the
                Warrant Shares contained in this Section 4.

                (b) Reorganization, Merger, etc. If any capital reorganization,
                    reclassification or similar transaction involving the
                    capital stock of the Company (other than as specified in
                    Section 4(a)), any consolidation, merger or business
                    combination of the Company with another corporation or the
                    sale or conveyance of all or any substantial part of its
                    assets to another corporation, shall be effected in such a
                    way that holders of the shares of Common Stock shall be
                    entitled to receive stock, securities or assets (including,
                    without limitation, cash) with respect to or in exchange for
                    shares of the Common Stock, then, prior to and as a
                    condition of such reorganization, reclassification, similar
                    transaction, consolidation, merger, business combination,
                    sale or conveyance, lawful and adequate provision shall be
                    made whereby the Holder shall thereafter have the right to
                    purchase and receive upon the basis and upon the terms and
                    conditions specified in this Warrant and in lieu of the
                    Warrant Shares immediately theretofore purchasable and
                    receivable upon the exercise of this Warrant, such shares of
                    stock, securities or assets as may be issued or payable with
                    respect to or in exchange for a number of outstanding
                    Warrant Shares equal to the number of Warrant Shares
                    immediately theretofore purchasable and receivable upon the
                    exercise of this Warrant had such reorganization,
                    reclassification, similar transaction, consolidation,
                    merger, business combination, sale or conveyance not taken
                    place. The Company shall not effect any such consolidation,
                    merger, business combination, sale or conveyance unless
                    prior to or simultaneously with the consummation thereof the
                    survivor or successor corporation (if other than the
                    Company) resulting from such consolidation or merger or the
                    corporation purchasing such assets shall assume by written
                    instrument executed and sent to the Holder, the obligation
                    to deliver to the Holder such shares of stock, securities or
                    assets as, in accordance with the foregoing provisions, the
                    Holder may be entitled to receive.

                (c) Statement on Warrant Certificates. Irrespective of any
                    adjustments in the Exercise Price or the number or kind of
                    Warrant Shares, this Warrant may continue to express the
                    same price and number and kind of shares as are stated on
                    the front page hereof.



                                      - 5 -

<PAGE>   6



                (d) Exception to Adjustment. Anything herein to the contrary
                    notwithstanding, the Company shall not be required to make
                    any adjustment of the number of Warrant Shares issuable
                    hereunder or to the Exercise Price in the case of the
                    issuance of the Warrants or the issuance of shares of the
                    Common Stock (or other securities) upon exercise of the
                    Warrants.

                (e) Treasury Shares. The number of shares of the Common Stock
                    outstanding at any time shall not include treasury shares or
                    shares owned or held by or for the account of the Company or
                    any of its subsidiaries, and the disposition of any such
                    shares shall be considered an issue or sale of the Common
                    Stock for the purposes of this Section 4.

                (f) Adjustment Notices to Holder. Upon any increase or decrease
                    in the number of Warrant Shares purchasable upon the
                    exercise of this Warrant or the Exercise Price the Company
                    shall, within 30 days thereafter, deliver written notice
                    thereof to all Holders, which notice shall state the
                    increased or decreased number of Warrant Shares purchasable
                    upon the exercise of this Warrant and the adjusted Exercise
                    Price, setting forth in reasonable detail the method of
                    calculation and the facts upon which such calculations are
                    based.

         Section 5. Notification by the Company. In case at any time while this 
Warrant remains outstanding:

                (a) the Company shall declare any dividend or make any
                    distribution upon its Common Stock or any other class of its
                    capital stock; or

                (b) the Company shall offer for subscription pro rata to the
                    holders of its Common Stock or any other class of its
                    capital stock any additional shares of stock of any class or
                    any other securities convertible into or exchangeable for
                    shares of stock or any rights or options to subscribe
                    thereto; or

                (c) the Board of Directors of the Company shall authorize any
                    capital reorganization, reclassification or similar
                    transaction involving the capital stock of the Company, or a
                    sale or conveyance of all or a substantial part of the
                    assets of the Company, or a consolidation, merger or
                    business combination of the Company with another Person; or


                                      - 6 -

<PAGE>   7



                (d) actions or proceedings shall be authorized or commenced for
                    a voluntary or involuntary dissolution, liquidation or
                    winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

         Section 6. No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7. Amendment and Waiver.

                (a) No failure or delay of the Holder in exercising any power or
                    right hereunder shall operate as a waiver thereof, nor shall
                    any single or partial exercise of such right or power, or
                    any abandonment or discontinuance of steps to enforce such a
                    right or power, preclude any other or further exercise
                    thereof or the exercise of any other right or power. The
                    rights and remedies of the Holder are cumulative and not
                    exclusive of any rights or remedies which it would otherwise
                    have. The provisions of this Warrant may be amended,
                    modified or waived with (and only with) the written consent
                    of the Company and the Required Holders.

                (b) No notice or demand on the Company in any case shall entitle
                    the Company to any other or further notice or demand in
                    similar or other circumstances.


                                      - 7 -

<PAGE>   8


         Section 8. No Fractional Warrant Shares. The Company shall not be
required to issue stock certificates representing fractions of Warrant Shares,
but shall in respect of any fraction of a Warrant Share make a payment in cash
based on the Value of the Common Stock after giving effect to the full exercise
or conversion of the Warrants.

         Section 9. Reservation of Warrant Shares. The Company shall authorize,
reserve and keep available at all times, free from preemptive rights, a
sufficient number of Warrant Shares to satisfy the requirements of this Warrant.

         Section 10. Notices. Unless otherwise specified, whenever this Warrant
requires or permits any consent, approval, notice, request, or demand from one
party to another, that communication must be in writing (which may be by
telecopy) to be effective and is deemed to have been given (a) if by telecopy,
when transmitted to the appropriate telecopy number (and all communications sent
by telecopy must be confirmed promptly by telephone; but any requirement in this
parenthetical does not affect the date when the telecopy is deemed to have been
delivered), or (b) if by any other means, including by internationally
acceptable courier or hand delivery, when actually delivered. Until changed by
notice pursuant to this Warrant, the address (and telecopy number) for the
Holder and the Company are:

         If to Holder:      Joint Energy Development Investments Limited 
                            Partnership
                            c/o Enron Corp.
                            1400 Smith Street
                            Houston, Texas  77002
                            Attn:  Donna Lowry - Director, 28th Floor
                            Facsimile: (713) 646-3602

         If to Company:     Queen Sand Resources, Inc.
                            13760 Noel Road, Suite 1030
                            Dallas, Texas 75240-7336
                            Attn: Robert P. Lindsay
                            Facsimile: (214) 521-9960

         With copies to:    Queen Sand Resources, Inc.
                            30 Metcalfe Street, Suite 620
                            Ottawa, Canada K1P 5L4
                            Attn:  Edward J. Munden
                            Facsimile: (613) 230-6055


                                      - 8 -

<PAGE>   9



                            Haynes and Boone, LLP
                            901 Main Street, Suite 3100
                            Dallas, Texas 75202
                            Attn: William L. Boeing, Esq.
                            Facsimile: (214) 651-5940

         Section 11. Section and Other Headings. The headings contained in this 
Warrant are for reference purposes only and will not affect in any way the
meaning or interpretation of this Warrant.

         Section 12. Governing Law. THIS WARRANT SHALL BE GOVERNED BY, AND 
CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

         Section 13. Binding Effect. The terms and provisions of this Warrant
shall inure to the benefit of the Holder and its successors and assigns and
shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *


                                      - 9 -

<PAGE>   10



         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of November 25, 1998.


                                            QUEEN SAND RESOURCES, INC.


Attest:                                     By:
       -----------------------                 --------------------------
         V. Ed Butler                       Name:   Robert P. Lindsay
         Assistant Secretary                Title:  Chief Operating Officer and
                                                      Executive Vice President





                                     - 10 -

<PAGE>   11



                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of
$__________.


                                         Name of Holder:


                                         ---------------------------------------

                                         Signature:
                                                   -----------------------------
                                         Title:
                                               ---------------------------------
                                         Address:
                                                 -------------------------------

                                         ---------------------------------------

                                         ---------------------------------------

Dated:             ,
       ------------  -----



                                     - 11 -

<PAGE>   12


                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.


                                         Name of Holder:


                                         ---------------------------------------

                                         Signature:
                                                   -----------------------------
                                         Title:
                                               ---------------------------------
                                         Address:
                                                 -------------------------------

                                         ---------------------------------------

                                         ---------------------------------------

Dated:             ,
       ------------  -----

In the presence of


- ----------------------------------


                                     NOTICE:


The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.


                                     - 12 -

<PAGE>   1
                                                                    EXHIBIT 4.23

- --------------------------------------------------------------------------------

THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.

- --------------------------------------------------------------------------------


WARRANT TO PURCHASE
  162,955 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 162,955 shares (as such number of shares may be adjusted pursuant to
the terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per
share, of the Company, at a price per share equal to the Exercise Price (as
defined below). This Warrant is issued to the Holder (together with such other
warrants as may be issued in exchange, transfer or replacement of this Warrant,
the "Warrants") pursuant to the Securities Purchase Agreement (as defined below)
and entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.


<PAGE>   2



         Section 1. Definitions. The following terms, as used herein, have the
following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means November 30, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $5.50. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means November 30, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.




                                      - 2 -

<PAGE>   3



         Section 2.    Exercise of Warrant; Cancellations of Warrant. This 
Warrant may be exercised in whole or in part, at any time or from time to time,
during the Exercise Period, by presentation and surrender hereof to the Company
at its principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3.    Exchange, Transfer, Assignment or Loss of Warrant. This
Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.



                                      - 3 -

<PAGE>   4



         Section 4.        Antidilution Provisions.

                  (a)      Adjustment of Number of Warrant Shares and Exercise
                           Price. The number of Warrant Shares purchasable
                           pursuant hereto and the Exercise Price, each shall be
                           subject to adjustment from time to time on and after
                           the Date of Issuance as provided in this Section
                           4(a). In case the Company shall at any time after the
                           Date of Issuance (i) pay a dividend of shares of
                           Common Stock or make a distribution of shares of
                           Common Stock, (ii) subdivide its outstanding shares
                           of Common Stock into a larger number of shares of
                           Common Stock, (iii) combine its outstanding shares of
                           Common Stock into a smaller number of shares of
                           Common Stock or (iv) issue any shares of its capital
                           stock or other assets in a reclassification or
                           reorganization of the Common Stock (including any
                           such reclassification in connection with a
                           consolidation or merger in which the Company is the
                           continuing entity), then (x) the securities
                           purchasable pursuant hereto shall be adjusted to the
                           number of Warrant Shares and amount of any other
                           securities, cash or other property of the Company
                           which the Holder would have owned or have been
                           entitled to receive after the happening of any of the
                           events described above, had this Warrant been
                           exercised immediately prior to the happening of such
                           event or any record date with respect thereto, and
                           (y) the Exercise Price shall be adjusted to equal the
                           Exercise Price immediately prior to the adjustment
                           multiplied by a fraction, (A) the numerator of which
                           is the number of Warrant Shares for which this
                           Warrant is exercisable immediately prior to the
                           adjustment, and (B) the denominator of which is the
                           number of shares for which this Warrant is
                           exercisable immediately after such adjustment. The
                           adjustments made pursuant to this Section 4(a) shall
                           become effective immediately after the effective date
                           of the event creating such right of adjustment,
                           retroactive to the record date, if any, for such
                           event. Any Warrant Shares purchasable as a result of
                           such adjustment shall not be issued prior to the
                           effective date of such event.

                           For the purpose of this Section 4(a) and (b), the
                  term "shares of Common Stock" means (i) the classes of stock
                  designated as the Common Stock of the Company as of the date
                  hereof, or (ii) any other class of stock resulting from
                  successive changes or reclassifications of such shares
                  consisting solely of changes in par value, or from par value
                  to no par value, or from no par value to par value. In the
                  event that at any time, as a result of an adjustment made
                  pursuant to this Section 4(a), the Holder shall become
                  entitled to receive any securities of the Company other than
                  shares of Common Stock, thereafter the number of such other
                  securities so receivable upon exercise of this Warrant shall
                  be subject to



                                      - 4 -

<PAGE>   5



                  adjustment from time to time in a manner and on terms as
                  nearly equivalent as practicable to the provisions with
                  respect to the Warrant Shares contained in this Section 4.

                  (b)      Reorganization, Merger, etc. If any capital
                           reorganization, reclassification or similar
                           transaction involving the capital stock of the
                           Company (other than as specified in Section 4(a)),
                           any consolidation, merger or business combination of
                           the Company with another corporation or the sale or
                           conveyance of all or any substantial part of its
                           assets to another corporation, shall be effected in
                           such a way that holders of the shares of Common Stock
                           shall be entitled to receive stock, securities or
                           assets (including, without limitation, cash) with
                           respect to or in exchange for shares of the Common
                           Stock, then, prior to and as a condition of such
                           reorganization, reclassification, similar
                           transaction, consolidation, merger, business
                           combination, sale or conveyance, lawful and adequate
                           provision shall be made whereby the Holder shall
                           thereafter have the right to purchase and receive
                           upon the basis and upon the terms and conditions
                           specified in this Warrant and in lieu of the Warrant
                           Shares immediately theretofore purchasable and
                           receivable upon the exercise of this Warrant, such
                           shares of stock, securities or assets as may be
                           issued or payable with respect to or in exchange for
                           a number of outstanding Warrant Shares equal to the
                           number of Warrant Shares immediately theretofore
                           purchasable and receivable upon the exercise of this
                           Warrant had such reorganization, reclassification,
                           similar transaction, consolidation, merger, business
                           combination, sale or conveyance not taken place. The
                           Company shall not effect any such consolidation,
                           merger, business combination, sale or conveyance
                           unless prior to or simultaneously with the
                           consummation thereof the survivor or successor
                           corporation (if other than the Company) resulting
                           from such consolidation or merger or the corporation
                           purchasing such assets shall assume by written
                           instrument executed and sent to the Holder, the
                           obligation to deliver to the Holder such shares of
                           stock, securities or assets as, in accordance with
                           the foregoing provisions, the Holder may be entitled
                           to receive.

                  (c)      Statement on Warrant Certificates. Irrespective of
                           any adjustments in the Exercise Price or the number
                           or kind of Warrant Shares, this Warrant may continue
                           to express the same price and number and kind of
                           shares as are stated on the front page hereof.


                                      - 5 -

<PAGE>   6




                  (d)      Exception to Adjustment. Anything herein to the
                           contrary notwithstanding, the Company shall not be
                           required to make any adjustment of the number of
                           Warrant Shares issuable hereunder or to the Exercise
                           Price in the case of the issuance of the Warrants or
                           the issuance of shares of the Common Stock (or other
                           securities) upon exercise of the Warrants.

                  (e)      Treasury Shares. The number of shares of the Common
                           Stock outstanding at any time shall not include
                           treasury shares or shares owned or held by or for the
                           account of the Company or any of its subsidiaries,
                           and the disposition of any such shares shall be
                           considered an issue or sale of the Common Stock for
                           the purposes of this Section 4.

                  (f)      Adjustment Notices to Holder. Upon any increase or
                           decrease in the number of Warrant Shares purchasable
                           upon the exercise of this Warrant or the Exercise
                           Price the Company shall, within 30 days thereafter,
                           deliver written notice thereof to all Holders, which
                           notice shall state the increased or decreased number
                           of Warrant Shares purchasable upon the exercise of
                           this Warrant and the adjusted Exercise Price, setting
                           forth in reasonable detail the method of calculation
                           and the facts upon which such calculations are based.

         Section 5.        Notification by the Company.  In case at any time
while this Warrant remains outstanding:

                  (a)      the Company shall declare any dividend or make any
                           distribution upon its Common Stock or any other class
                           of its capital stock; or

                  (b)      the Company shall offer for subscription pro rata to
                           the holders of its Common Stock or any other class of
                           its capital stock any additional shares of stock of
                           any class or any other securities convertible into or
                           exchangeable for shares of stock or any rights or
                           options to subscribe thereto; or

                  (c)      the Board of Directors of the Company shall authorize
                           any capital reorganization, reclassification or
                           similar transaction involving the capital stock of
                           the Company, or a sale or conveyance of all or a
                           substantial part of the assets of the Company, or a
                           consolidation, merger or business combination of the
                           Company with another Person; or



                                      - 6 -

<PAGE>   7




                  (d)      actions or proceedings shall be authorized or
                           commenced for a voluntary or involuntary dissolution,
                           liquidation or winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

         Section 6.        No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7.        Amendment and Waiver.

                  (a)      No failure or delay of the Holder in exercising any
                           power or right hereunder shall operate as a waiver
                           thereof, nor shall any single or partial exercise of
                           such right or power, or any abandonment or
                           discontinuance of steps to enforce such a right or
                           power, preclude any other or further exercise thereof
                           or the exercise of any other right or power. The
                           rights and remedies of the Holder are cumulative and
                           not exclusive of any rights or remedies which it
                           would otherwise have. The provisions of this Warrant
                           may be amended, modified or waived with (and only
                           with) the written consent of the Company and the
                           Required Holders.

                  (b)      No notice or demand on the Company in any case shall
                           entitle the Company to any other or further notice or
                           demand in similar or other circumstances.


                                      - 7 -

<PAGE>   8





         Section 8.        No Fractional Warrant Shares. The Company shall not 
be required to issue stock certificates representing fractions of Warrant
Shares, but shall in respect of any fraction of a Warrant Share make a payment
in cash based on the Value of the Common Stock after giving effect to the full
exercise or conversion of the Warrants.

         Section 9.        Reservation of Warrant Shares. The Company shall 
authorize, reserve and keep available at all times, free from preemptive rights,
a sufficient number of Warrant Shares to satisfy the requirements of this
Warrant.

         Section 10.       Notices. Unless otherwise specified, whenever this 
Warrant requires or permits any consent, approval, notice, request, or demand
from one party to another, that communication must be in writing (which may be
by telecopy) to be effective and is deemed to have been given (a) if by
telecopy, when transmitted to the appropriate telecopy number (and all
communications sent by telecopy must be confirmed promptly by telephone; but any
requirement in this parenthetical does not affect the date when the telecopy is
deemed to have been delivered), or (b) if by any other means, including by
internationally acceptable courier or hand delivery, when actually delivered.
Until changed by notice pursuant to this Warrant, the address (and telecopy
number) for the Holder and the Company are:

         If to Holder:              Joint Energy Development Investments Limited
                                    Partnership
                                    c/o Enron Corp.
                                    1400 Smith Street
                                    Houston, Texas  77002
                                    Attn:  Donna Lowry - Director, 28th Floor
                                    Facsimile: (713) 646-3602

         If to Company:             Queen Sand Resources, Inc.
                                    13760 Noel Road, Suite 1030
                                    Dallas, Texas 75240-7336
                                    Attn:  Robert P. Lindsay
                                    Facsimile: (214) 521-9960

         With copies to:            Queen Sand Resources, Inc.
                                    30 Metcalfe Street, Suite 620
                                    Ottawa, Canada K1P 5L4
                                    Attn:  Edward J. Munden
                                    Facsimile: (613) 230-6055


                                      - 8 -

<PAGE>   9




                                    Haynes and Boone, LLP
                                    901 Main Street, Suite 3100
                                    Dallas, Texas  75202
                                    Attn:  William L. Boeing, Esq.
                                    Facsimile:  (214) 651-5940

         Section 11.       Section and Other Headings.  The headings contained 
in this Warrant are for reference purposes only and will not affect in any way
the meaning or interpretation of this Warrant.

         Section 12.       Governing Law.  THIS WARRANT SHALL BE GOVERNED BY, 
AND CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

         Section 13.       Binding Effect. The terms and provisions of this 
Warrant shall inure to the benefit of the Holder and its successors and assigns
and shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *



                                      - 9 -

<PAGE>   10



         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of November 30, 1998.


                                            QUEEN SAND RESOURCES, INC.


Attest:                                     By:
       ----------------------------            ----------------------------
       V. Ed Butler                         Name:   Robert P. Lindsay
       Assistant Secretary                  Title:  Chief Operating Officer and
                                                      Executive Vice President








                                     - 10 -

<PAGE>   11



                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of $__________.


                                       Name of Holder:


                                       --------------------------------------- 

                                       Signature:
                                                 ----------------------------- 
                                       Title:
                                             ---------------------------------
                                       Address:
                                               -------------------------------

                                       --------------------------------------- 

                                       --------------------------------------- 

Dated:              ,
      -------------- -----





                                     - 11 -

<PAGE>   12



                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.


                                       Name of Holder:


                                       --------------------------------------- 

                                       Signature:
                                                 ----------------------------- 
                                       Title:
                                             ---------------------------------
                                       Address:
                                               -------------------------------

                                       --------------------------------------- 

                                       --------------------------------------- 

Dated:              ,
      -------------- -----

In the presence of

- --------------------------------------


                                     NOTICE:

The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.



                                     - 12 -


<PAGE>   1
                                                                    EXHIBIT 4.26

- --------------------------------------------------------------------------------

THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.

- --------------------------------------------------------------------------------


WARRANT TO PURCHASE
   22,033 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 22,033 shares (as such number of shares may be adjusted pursuant to the
terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per share,
of the Company, at a price per share equal to the Exercise Price (as defined
below). This Warrant is issued to the Holder (together with such other warrants
as may be issued in exchange, transfer or replacement of this Warrant, the
"Warrants") pursuant to the Securities Purchase Agreement (as defined below) and
entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.



<PAGE>   2



         Section 1.        Definitions.  The following terms, as used herein, 
have the following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means December 28, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $3.541. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means December 28, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.




                                      - 2 -

<PAGE>   3



         Section 2.        Exercise of Warrant; Cancellations of Warrant. This
Warrant may be exercised in whole or in part, at any time or from time to time,
during the Exercise Period, by presentation and surrender hereof to the Company
at its principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3.        Exchange, Transfer, Assignment or Loss of Warrant.
This Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.




                                      - 3 -

<PAGE>   4

         Section 4.        Antidilution Provisions.

                  (a)      Adjustment of Number of Warrant Shares and Exercise
                           Price. The number of Warrant Shares purchasable
                           pursuant hereto and the Exercise Price, each shall be
                           subject to adjustment from time to time on and after
                           the Date of Issuance as provided in this Section
                           4(a). In case the Company shall at any time after the
                           Date of Issuance (i) pay a dividend of shares of
                           Common Stock or make a distribution of shares of
                           Common Stock, (ii) subdivide its outstanding shares
                           of Common Stock into a larger number of shares of
                           Common Stock, (iii) combine its outstanding shares of
                           Common Stock into a smaller number of shares of
                           Common Stock or (iv) issue any shares of its capital
                           stock or other assets in a reclassification or
                           reorganization of the Common Stock (including any
                           such reclassification in connection with a
                           consolidation or merger in which the Company is the
                           continuing entity), then (x) the securities
                           purchasable pursuant hereto shall be adjusted to the
                           number of Warrant Shares and amount of any other
                           securities, cash or other property of the Company
                           which the Holder would have owned or have been
                           entitled to receive after the happening of any of the
                           events described above, had this Warrant been
                           exercised immediately prior to the happening of such
                           event or any record date with respect thereto, and
                           (y) the Exercise Price shall be adjusted to equal the
                           Exercise Price immediately prior to the adjustment
                           multiplied by a fraction, (A) the numerator of which
                           is the number of Warrant Shares for which this
                           Warrant is exercisable immediately prior to the
                           adjustment, and (B) the denominator of which is the
                           number of shares for which this Warrant is
                           exercisable immediately after such adjustment. The
                           adjustments made pursuant to this Section 4(a) shall
                           become effective immediately after the effective date
                           of the event creating such right of adjustment,
                           retroactive to the record date, if any, for such
                           event. Any Warrant Shares purchasable as a result of
                           such adjustment shall not be issued prior to the
                           effective date of such event.

                           For the purpose of this Section 4(a) and (b), the
                  term "shares of Common Stock" means (i) the classes of stock
                  designated as the Common Stock of the Company as of the date
                  hereof, or (ii) any other class of stock resulting from
                  successive changes or reclassifications of such shares
                  consisting solely of changes in par value, or from par value
                  to no par value, or from no par value to par value. In the
                  event that at any time, as a result of an adjustment made
                  pursuant to this Section 4(a), the Holder shall become
                  entitled to receive any securities of the Company other than
                  shares of Common Stock, thereafter the number of such other
                  securities so receivable upon exercise of this Warrant shall
                  be subject to



                                      - 4 -

<PAGE>   5



                  adjustment from time to time in a manner and on terms as
                  nearly equivalent as practicable to the provisions with
                  respect to the Warrant Shares contained in this Section 4.

                  (b)      Reorganization, Merger, etc. If any capital
                           reorganization, reclassification or similar
                           transaction involving the capital stock of the
                           Company (other than as specified in Section 4(a)),
                           any consolidation, merger or business combination of
                           the Company with another corporation or the sale or
                           conveyance of all or any substantial part of its
                           assets to another corporation, shall be effected in
                           such a way that holders of the shares of Common Stock
                           shall be entitled to receive stock, securities or
                           assets (including, without limitation, cash) with
                           respect to or in exchange for shares of the Common
                           Stock, then, prior to and as a condition of such
                           reorganization, reclassification, similar
                           transaction, consolidation, merger, business
                           combination, sale or conveyance, lawful and adequate
                           provision shall be made whereby the Holder shall
                           thereafter have the right to purchase and receive
                           upon the basis and upon the terms and conditions
                           specified in this Warrant and in lieu of the Warrant
                           Shares immediately theretofore purchasable and
                           receivable upon the exercise of this Warrant, such
                           shares of stock, securities or assets as may be
                           issued or payable with respect to or in exchange for
                           a number of outstanding Warrant Shares equal to the
                           number of Warrant Shares immediately theretofore
                           purchasable and receivable upon the exercise of this
                           Warrant had such reorganization, reclassification,
                           similar transaction, consolidation, merger, business
                           combination, sale or conveyance not taken place. The
                           Company shall not effect any such consolidation,
                           merger, business combination, sale or conveyance
                           unless prior to or simultaneously with the
                           consummation thereof the survivor or successor
                           corporation (if other than the Company) resulting
                           from such consolidation or merger or the corporation
                           purchasing such assets shall assume by written
                           instrument executed and sent to the Holder, the
                           obligation to deliver to the Holder such shares of
                           stock, securities or assets as, in accordance with
                           the foregoing provisions, the Holder may be entitled
                           to receive.

                  (c)      Statement on Warrant Certificates. Irrespective of
                           any adjustments in the Exercise Price or the number
                           or kind of Warrant Shares, this Warrant may continue
                           to express the same price and number and kind of
                           shares as are stated on the front page hereof.




                                      - 5 -

<PAGE>   6



                  (d)      Exception to Adjustment. Anything herein to the
                           contrary notwithstanding, the Company shall not be
                           required to make any adjustment of the number of
                           Warrant Shares issuable hereunder or to the Exercise
                           Price in the case of the issuance of the Warrants or
                           the issuance of shares of the Common Stock (or other
                           securities) upon exercise of the Warrants.

                  (e)      Treasury Shares. The number of shares of the Common
                           Stock outstanding at any time shall not include
                           treasury shares or shares owned or held by or for the
                           account of the Company or any of its subsidiaries,
                           and the disposition of any such shares shall be
                           considered an issue or sale of the Common Stock for
                           the purposes of this Section 4.

                  (f)      Adjustment Notices to Holder. Upon any increase or
                           decrease in the number of Warrant Shares purchasable
                           upon the exercise of this Warrant or the Exercise
                           Price the Company shall, within 30 days thereafter,
                           deliver written notice thereof to all Holders, which
                           notice shall state the increased or decreased number
                           of Warrant Shares purchasable upon the exercise of
                           this Warrant and the adjusted Exercise Price, setting
                           forth in reasonable detail the method of calculation
                           and the facts upon which such calculations are based.

         Section 5.        Notification by the Company.  In case at any time 
while this Warrant remains outstanding:

                  (a)      the Company shall declare any dividend or make any
                           distribution upon its Common Stock or any other class
                           of its capital stock; or

                  (b)      the Company shall offer for subscription pro rata to
                           the holders of its Common Stock or any other class of
                           its capital stock any additional shares of stock of
                           any class or any other securities convertible into or
                           exchangeable for shares of stock or any rights or
                           options to subscribe thereto; or

                  (c)      the Board of Directors of the Company shall authorize
                           any capital reorganization, reclassification or
                           similar transaction involving the capital stock of
                           the Company, or a sale or conveyance of all or a
                           substantial part of the assets of the Company, or a
                           consolidation, merger or business combination of the
                           Company with another Person; or




                                      - 6 -

<PAGE>   7



                  (d)      actions or proceedings shall be authorized or
                           commenced for a voluntary or involuntary dissolution,
                           liquidation or winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

         Section 6.        No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7.        Amendment and Waiver.

                  (a)      No failure or delay of the Holder in exercising any
                           power or right hereunder shall operate as a waiver
                           thereof, nor shall any single or partial exercise of
                           such right or power, or any abandonment or
                           discontinuance of steps to enforce such a right or
                           power, preclude any other or further exercise thereof
                           or the exercise of any other right or power. The
                           rights and remedies of the Holder are cumulative and
                           not exclusive of any rights or remedies which it
                           would otherwise have. The provisions of this Warrant
                           may be amended, modified or waived with (and only
                           with) the written consent of the Company and the
                           Required Holders.

                  (b)      No notice or demand on the Company in any case shall
                           entitle the Company to any other or further notice or
                           demand in similar or other circumstances.




                                      - 7 -

<PAGE>   8



         Section 8.        No Fractional Warrant Shares. The Company shall not
be required to issue stock certificates representing fractions of Warrant
Shares, but shall in respect of any fraction of a Warrant Share make a payment
in cash based on the Value of the Common Stock after giving effect to the full
exercise or conversion of the Warrants.

         Section 9.        Reservation of Warrant Shares. The Company shall 
authorize, reserve and keep available at all times, free from preemptive rights,
a sufficient number of Warrant Shares to satisfy the requirements of this
Warrant.

         Section 10.       Notices. Unless otherwise specified, whenever this 
Warrant requires or permits any consent, approval, notice, request, or demand
from one party to another, that communication must be in writing (which may be
by telecopy) to be effective and is deemed to have been given (a) if by
telecopy, when transmitted to the appropriate telecopy number (and all
communications sent by telecopy must be confirmed promptly by telephone; but any
requirement in this parenthetical does not affect the date when the telecopy is
deemed to have been delivered), or (b) if by any other means, including by
internationally acceptable courier or hand delivery, when actually delivered.
Until changed by notice pursuant to this Warrant, the address (and telecopy
number) for the Holder and the Company are:

         If to Holder:              Joint Energy Development Investments Limited
                                    Partnership
                                    c/o Enron Corp.
                                    1400 Smith Street
                                    Houston, Texas  77002
                                    Attn:  Donna Lowry - Director, 28th Floor
                                    Facsimile: (713) 646-3602

         If to Company:             Queen Sand Resources, Inc.
                                    13760 Noel Road, Suite 1030
                                    Dallas, Texas 75240-7336
                                    Attn:  Robert P. Lindsay
                                    Facsimile: (972) 233-9575

         With copies to:            Queen Sand Resources, Inc.
                                    30 Metcalfe Street, Suite 620
                                    Ottawa, Canada K1P 5L4
                                    Attn:  Edward J. Munden
                                    Facsimile: (613) 230-6055




                                      - 8 -

<PAGE>   9



                                    Haynes and Boone, LLP
                                    901 Main Street, Suite 3100
                                    Dallas, Texas  75202
                                    Attn:  William L. Boeing, Esq.
                                    Facsimile:  (214) 651-5940

         Section 11.       Section and Other Headings.  The headings contained 
in this Warrant are for reference purposes only and will not affect in any way
the meaning or interpretation of this Warrant.

         Section 12.       Governing Law.  THIS WARRANT SHALL BE GOVERNED BY, 
AND CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

         Section 13.       Binding Effect. The terms and provisions of this 
Warrant shall inure to the benefit of the Holder and its successors and assigns
and shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *







                                      - 9 -

<PAGE>   10



         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of December 28, 1998.


                                            QUEEN SAND RESOURCES, INC.


Attest:                                     By:
       ----------------------------            ----------------------------
       V. Ed Butler                         Name:   Robert P. Lindsay
       Assistant Secretary                  Title:  Chief Operating Officer and
                                                      Executive Vice President








                                     - 10 -

<PAGE>   11



                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of $__________.




                                       Name of Holder:


                                       --------------------------------------- 

                                       Signature:
                                                 ----------------------------- 
                                       Title:
                                             ---------------------------------
                                       Address:
                                               -------------------------------

                                       --------------------------------------- 

                                       --------------------------------------- 

Dated:              ,
      -------------- -----



                                     - 11 -

<PAGE>   12


                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                       Name of Holder:


                                       --------------------------------------- 

                                       Signature:
                                                 ----------------------------- 
                                       Title:
                                             ---------------------------------
                                       Address:
                                               -------------------------------

                                       --------------------------------------- 

                                       --------------------------------------- 

Dated:              ,
      -------------- -----

In the presence of

- -----------------------------------

                                     NOTICE:
The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.



                                     - 12 -





<PAGE>   1
                                                                    EXHIBIT 4.27

- --------------------------------------------------------------------------------
THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.
- --------------------------------------------------------------------------------

WARRANT TO PURCHASE
   12,380 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 12,380 shares (as such number of shares may be adjusted pursuant to the
terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per share,
of the Company, at a price per share equal to the Exercise Price (as defined
below). This Warrant is issued to the Holder (together with such other warrants
as may be issued in exchange, transfer or replacement of this Warrant, the
"Warrants") pursuant to the Securities Purchase Agreement (as defined below) and
entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.



<PAGE>   2



         Section 1.        Definitions. The following terms, as used herein, 
have the following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means December 15, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $4.375. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means December 15, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.



                                      - 2 -

<PAGE>   3



         Section 2.        Exercise of Warrant; Cancellations of Warrant. This 
Warrant may be exercised in whole or in part, at any time or from time to time,
during the Exercise Period, by presentation and surrender hereof to the Company
at its principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3.        Exchange, Transfer, Assignment or Loss of Warrant. 
This Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.



                                      - 3 -

<PAGE>   4



         Section 4.        Antidilution Provisions.

                (a)        Adjustment of Number of Warrant Shares and Exercise 
                           Price. The number of Warrant Shares purchasable
                           pursuant hereto and the Exercise Price, each shall be
                           subject to adjustment from time to time on and after
                           the Date of Issuance as provided in this Section
                           4(a). In case the Company shall at any time after the
                           Date of Issuance (i) pay a dividend of shares of
                           Common Stock or make a distribution of shares of
                           Common Stock, (ii) subdivide its outstanding shares
                           of Common Stock into a larger number of shares of
                           Common Stock, (iii) combine its outstanding shares of
                           Common Stock into a smaller number of shares of
                           Common Stock or (iv) issue any shares of its capital
                           stock or other assets in a reclassification or
                           reorganization of the Common Stock (including any
                           such reclassification in connection with a
                           consolidation or merger in which the Company is the
                           continuing entity), then (x) the securities
                           purchasable pursuant hereto shall be adjusted to the
                           number of Warrant Shares and amount of any other
                           securities, cash or other property of the Company
                           which the Holder would have owned or have been
                           entitled to receive after the happening of any of the
                           events described above, had this Warrant been
                           exercised immediately prior to the happening of such
                           event or any record date with respect thereto, and
                           (y) the Exercise Price shall be adjusted to equal the
                           Exercise Price immediately prior to the adjustment
                           multiplied by a fraction, (A) the numerator of which
                           is the number of Warrant Shares for which this
                           Warrant is exercisable immediately prior to the
                           adjustment, and (B) the denominator of which is the
                           number of shares for which this Warrant is
                           exercisable immediately after such adjustment. The
                           adjustments made pursuant to this Section 4(a) shall
                           become effective immediately after the effective date
                           of the event creating such right of adjustment,
                           retroactive to the record date, if any, for such
                           event. Any Warrant Shares purchasable as a result of
                           such adjustment shall not be issued prior to the
                           effective date of such event.

                           For the purpose of this Section 4(a) and (b), the
                  term "shares of Common Stock" means (i) the classes of stock
                  designated as the Common Stock of the Company as of the date
                  hereof, or (ii) any other class of stock resulting from
                  successive changes or reclassifications of such shares
                  consisting solely of changes in par value, or from par value
                  to no par value, or from no par value to par value. In the
                  event that at any time, as a result of an adjustment made
                  pursuant to this Section 4(a), the Holder shall become
                  entitled to receive any securities of the Company other than
                  shares of Common Stock, thereafter the number of such other
                  securities so receivable upon exercise of this Warrant shall
                  be subject to


                                      - 4 -

<PAGE>   5



                  adjustment from time to time in a manner and on terms as
                  nearly equivalent as practicable to the provisions with
                  respect to the Warrant Shares contained in this Section 4.

                  (b)      Reorganization, Merger, etc.  If any capital 
                           reorganization, reclassification or similar
                           transaction involving the capital stock of the
                           Company (other than as specified in Section 4(a)),
                           any consolidation, merger or business combination of
                           the Company with another corporation or the sale or
                           conveyance of all or any substantial part of its
                           assets to another corporation, shall be effected in
                           such a way that holders of the shares of Common Stock
                           shall be entitled to receive stock, securities or
                           assets (including, without limitation, cash) with
                           respect to or in exchange for shares of the Common
                           Stock, then, prior to and as a condition of such
                           reorganization, reclassification, similar
                           transaction, consolidation, merger, business
                           combination, sale or conveyance, lawful and adequate
                           provision shall be made whereby the Holder shall
                           thereafter have the right to purchase and receive
                           upon the basis and upon the terms and conditions
                           specified in this Warrant and in lieu of the Warrant
                           Shares immediately theretofore purchasable and
                           receivable upon the exercise of this Warrant, such
                           shares of stock, securities or assets as may be
                           issued or payable with respect to or in exchange for
                           a number of outstanding Warrant Shares equal to the
                           number of Warrant Shares immediately theretofore
                           purchasable and receivable upon the exercise of this
                           Warrant had such reorganization, reclassification,
                           similar transaction, consolidation, merger, business
                           combination, sale or conveyance not taken place. The
                           Company shall not effect any such consolidation,
                           merger, business combination, sale or conveyance
                           unless prior to or simultaneously with the
                           consummation thereof the survivor or successor
                           corporation (if other than the Company) resulting
                           from such consolidation or merger or the corporation
                           purchasing such assets shall assume by written
                           instrument executed and sent to the Holder, the
                           obligation to deliver to the Holder such shares of
                           stock, securities or assets as, in accordance with
                           the foregoing provisions, the Holder may be entitled
                           to receive.

                  (c)      Statement on Warrant Certificates. Irrespective of
                           any adjustments in the Exercise Price or the number
                           or kind of Warrant Shares, this Warrant may continue
                           to express the same price and number and kind of
                           shares as are stated on the front page hereof.



                                      - 5 -

<PAGE>   6



                (d)        Exception to Adjustment. Anything herein to the
                           contrary notwithstanding, the Company shall not be
                           required to make any adjustment of the number of
                           Warrant Shares issuable hereunder or to the Exercise
                           Price in the case of the issuance of the Warrants or
                           the issuance of shares of the Common Stock (or other
                           securities) upon exercise of the Warrants.

                (e)        Treasury Shares. The number of shares of the Common
                           Stock outstanding at any time shall not include
                           treasury shares or shares owned or held by or for the
                           account of the Company or any of its subsidiaries,
                           and the disposition of any such shares shall be
                           considered an issue or sale of the Common Stock for
                           the purposes of this Section 4.

                (f)        Adjustment Notices to Holder.  Upon any increase or 
                           decrease in the number of Warrant Shares purchasable
                           upon the exercise of this Warrant or the Exercise
                           Price the Company shall, within 30 days thereafter,
                           deliver written notice thereof to all Holders, which
                           notice shall state the increased or decreased number
                           of Warrant Shares purchasable upon the exercise of
                           this Warrant and the adjusted Exercise Price, setting
                           forth in reasonable detail the method of calculation
                           and the facts upon which such calculations are based.

         Section 5.        Notification by the Company. In case at any time 
while this Warrant remains outstanding:

                (a)        the Company shall declare any dividend or make any
                           distribution upon its Common Stock or any other class
                           of its capital stock; or

                (b)        the Company shall offer for subscription pro rata to
                           the holders of its Common Stock or any other class of
                           its capital stock any additional shares of stock of
                           any class or any other securities convertible into or
                           exchangeable for shares of stock or any rights or
                           options to subscribe thereto; or

                (c)        the Board of Directors of the Company shall authorize
                           any capital reorganization, reclassification or
                           similar transaction involving the capital stock of
                           the Company, or a sale or conveyance of all or a
                           substantial part of the assets of the Company, or a
                           consolidation, merger or business combination of the
                           Company with another Person; or



                                      - 6 -

<PAGE>   7



                (d)        actions or proceedings shall be authorized or
                           commenced for a voluntary or involuntary dissolution,
                           liquidation or winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

         Section 6.        No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7.        Amendment and Waiver.

                (a)        No failure or delay of the Holder in exercising any 
                           power or right hereunder shall operate as a waiver
                           thereof, nor shall any single or partial exercise of
                           such right or power, or any abandonment or
                           discontinuance of steps to enforce such a right or
                           power, preclude any other or further exercise thereof
                           or the exercise of any other right or power. The
                           rights and remedies of the Holder are cumulative and
                           not exclusive of any rights or remedies which it
                           would otherwise have. The provisions of this Warrant
                           may be amended, modified or waived with (and only
                           with) the written consent of the Company and the
                           Required Holders.

                (b)        No notice or demand on the Company in any case shall
                           entitle the Company to any other or further notice or
                           demand in similar or other circumstances.



                                      - 7 -

<PAGE>   8



         Section 8.        No Fractional Warrant Shares. The Company shall not 
be required to issue stock certificates representing fractions of Warrant
Shares, but shall in respect of any fraction of a Warrant Share make a payment
in cash based on the Value of the Common Stock after giving effect to the full
exercise or conversion of the Warrants.

         Section 9.        Reservation of Warrant Shares. The Company shall 
authorize, reserve and keep available at all times, free from preemptive rights,
a sufficient number of Warrant Shares to satisfy the requirements of this
Warrant.

         Section 10.       Notices. Unless otherwise specified, whenever this 
Warrant requires or permits any consent, approval, notice, request, or demand
from one party to another, that communication must be in writing (which may be
by telecopy) to be effective and is deemed to have been given (a) if by
telecopy, when transmitted to the appropriate telecopy number (and all
communications sent by telecopy must be confirmed promptly by telephone; but any
requirement in this parenthetical does not affect the date when the telecopy is
deemed to have been delivered), or (b) if by any other means, including by
internationally acceptable courier or hand delivery, when actually delivered.
Until changed by notice pursuant to this Warrant, the address (and telecopy
number) for the Holder and the Company are:

         If to Holder:              Joint Energy Development Investments Limited
                                    Partnership
                                    c/o Enron Corp.
                                    1400 Smith Street
                                    Houston, Texas  77002
                                    Attn:  Donna Lowry - Director, 28th Floor
                                    Facsimile: (713) 646-3602

         If to Company:             Queen Sand Resources, Inc.
                                    13760 Noel Road, Suite 1030
                                    Dallas, Texas 75240-7336
                                    Attn:  Robert P. Lindsay
                                    Facsimile: (972) 233-9575

         With copies to:            Queen Sand Resources, Inc.
                                    30 Metcalfe Street, Suite 620
                                    Ottawa, Canada K1P 5L4
                                    Attn:  Edward J. Munden
                                    Facsimile: (613) 230-6055



                                      - 8 -

<PAGE>   9



                                    Haynes and Boone, LLP
                                    901 Main Street, Suite 3100
                                    Dallas, Texas  75202
                                    Attn:  William L. Boeing, Esq.
                                    Facsimile:  (214) 651-5940

         Section 11.       Section and Other Headings. The headings contained in
this Warrant are for reference purposes only and will not affect in any way the
meaning or interpretation of this Warrant.

         Section 12.       Governing Law. THIS WARRANT SHALL BE GOVERNED BY, AND
CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

         Section 13.       Binding Effect. The terms and provisions of this 
Warrant shall inure to the benefit of the Holder and its successors and assigns
and shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *


                                      - 9 -

<PAGE>   10



         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of December 15, 1998.


                                      QUEEN SAND RESOURCES, INC.


Attest:                               By:
       --------------------------        --------------------------------------
         V. Ed Butler                 Name:      Robert P. Lindsay
         Assistant Secretary          Title:     Chief Operating Officer and
                                                  Executive Vice President







                                     - 10 -
<PAGE>   11



                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of $__________.


                                             Name of Holder:


                                             ----------------------------------

                                             Signature:
                                                       ------------------------
                                             Title:
                                                   ----------------------------
                                             Address:
                                                     --------------------------
                                                     
                                             ----------------------------------

                                             ----------------------------------
Dated: 
       ------------, -----



                                     - 11 -

<PAGE>   12


                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                             Name of Holder:


                                             ----------------------------------

                                             Signature:
                                                       ------------------------
                                             Title:
                                                   ----------------------------
                                             Address:
                                                     --------------------------
                                                     
                                             ----------------------------------

                                             ----------------------------------
Dated: 
       ------------, -----

In the presence of

- --------------------------


                                     NOTICE:
The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.


                                     - 12 -


<PAGE>   1
                                                                    EXHIBIT 4.28

- --------------------------------------------------------------------------------
THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.
- --------------------------------------------------------------------------------

WARRANT TO PURCHASE
  133,708 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 133,708 shares (as such number of shares may be adjusted pursuant to
the terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per
share, of the Company, at a price per share equal to the Exercise Price (as
defined below). This Warrant is issued to the Holder (together with such other
warrants as may be issued in exchange, transfer or replacement of this Warrant,
the "Warrants") pursuant to the Securities Purchase Agreement (as defined below)
and entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.



<PAGE>   2



         Section 1.        Definitions.  The following terms, as used herein, 
have the following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means December 14, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $4.375. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means December 14, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.


                                      - 2 -

<PAGE>   3



         Section 2.        Exercise of Warrant; Cancellations of Warrant. This 
Warrant may be exercised in whole or in part, at any time or from time to time,
during the Exercise Period, by presentation and surrender hereof to the Company
at its principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3.        Exchange, Transfer, Assignment or Loss of Warrant. 
This Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.



                                      - 3 -

<PAGE>   4



         Section 4.        Antidilution Provisions.

                (a)        Adjustment of Number of Warrant Shares and Exercise 
                           Price. The number of Warrant Shares purchasable
                           pursuant hereto and the Exercise Price, each shall be
                           subject to adjustment from time to time on and after
                           the Date of Issuance as provided in this Section
                           4(a). In case the Company shall at any time after the
                           Date of Issuance (i) pay a dividend of shares of
                           Common Stock or make a distribution of shares of
                           Common Stock, (ii) subdivide its outstanding shares
                           of Common Stock into a larger number of shares of
                           Common Stock, (iii) combine its outstanding shares of
                           Common Stock into a smaller number of shares of
                           Common Stock or (iv) issue any shares of its capital
                           stock or other assets in a reclassification or
                           reorganization of the Common Stock (including any
                           such reclassification in connection with a
                           consolidation or merger in which the Company is the
                           continuing entity), then (x) the securities
                           purchasable pursuant hereto shall be adjusted to the
                           number of Warrant Shares and amount of any other
                           securities, cash or other property of the Company
                           which the Holder would have owned or have been
                           entitled to receive after the happening of any of the
                           events described above, had this Warrant been
                           exercised immediately prior to the happening of such
                           event or any record date with respect thereto, and
                           (y) the Exercise Price shall be adjusted to equal the
                           Exercise Price immediately prior to the adjustment
                           multiplied by a fraction, (A) the numerator of which
                           is the number of Warrant Shares for which this
                           Warrant is exercisable immediately prior to the
                           adjustment, and (B) the denominator of which is the
                           number of shares for which this Warrant is
                           exercisable immediately after such adjustment. The
                           adjustments made pursuant to this Section 4(a) shall
                           become effective immediately after the effective date
                           of the event creating such right of adjustment,
                           retroactive to the record date, if any, for such
                           event. Any Warrant Shares purchasable as a result of
                           such adjustment shall not be issued prior to the
                           effective date of such event.

                           For the purpose of this Section 4(a) and (b), the
                  term "shares of Common Stock" means (i) the classes of stock
                  designated as the Common Stock of the Company as of the date
                  hereof, or (ii) any other class of stock resulting from
                  successive changes or reclassifications of such shares
                  consisting solely of changes in par value, or from par value
                  to no par value, or from no par value to par value. In the
                  event that at any time, as a result of an adjustment made
                  pursuant to this Section 4(a), the Holder shall become
                  entitled to receive any securities of the Company other than
                  shares of Common Stock, thereafter the number of such other
                  securities so receivable upon exercise of this Warrant shall
                  be subject to


                                      - 4 -

<PAGE>   5



                  adjustment from time to time in a manner and on terms as
                  nearly equivalent as practicable to the provisions with
                  respect to the Warrant Shares contained in this Section 4.

                  (b)      Reorganization, Merger, etc.  If any capital 
                           reorganization, reclassification or similar
                           transaction involving the capital stock of the
                           Company (other than as specified in Section 4(a)),
                           any consolidation, merger or business combination of
                           the Company with another corporation or the sale or
                           conveyance of all or any substantial part of its
                           assets to another corporation, shall be effected in
                           such a way that holders of the shares of Common Stock
                           shall be entitled to receive stock, securities or
                           assets (including, without limitation, cash) with
                           respect to or in exchange for shares of the Common
                           Stock, then, prior to and as a condition of such
                           reorganization, reclassification, similar
                           transaction, consolidation, merger, business
                           combination, sale or conveyance, lawful and adequate
                           provision shall be made whereby the Holder shall
                           thereafter have the right to purchase and receive
                           upon the basis and upon the terms and conditions
                           specified in this Warrant and in lieu of the Warrant
                           Shares immediately theretofore purchasable and
                           receivable upon the exercise of this Warrant, such
                           shares of stock, securities or assets as may be
                           issued or payable with respect to or in exchange for
                           a number of outstanding Warrant Shares equal to the
                           number of Warrant Shares immediately theretofore
                           purchasable and receivable upon the exercise of this
                           Warrant had such reorganization, reclassification,
                           similar transaction, consolidation, merger, business
                           combination, sale or conveyance not taken place. The
                           Company shall not effect any such consolidation,
                           merger, business combination, sale or conveyance
                           unless prior to or simultaneously with the
                           consummation thereof the survivor or successor
                           corporation (if other than the Company) resulting
                           from such consolidation or merger or the corporation
                           purchasing such assets shall assume by written
                           instrument executed and sent to the Holder, the
                           obligation to deliver to the Holder such shares of
                           stock, securities or assets as, in accordance with
                           the foregoing provisions, the Holder may be entitled
                           to receive.

                  (c)      Statement on Warrant Certificates. Irrespective of
                           any adjustments in the Exercise Price or the number
                           or kind of Warrant Shares, this Warrant may continue
                           to express the same price and number and kind of
                           shares as are stated on the front page hereof.



                                      - 5 -

<PAGE>   6



                (d)        Exception to Adjustment. Anything herein to the
                           contrary notwithstanding, the Company shall not be
                           required to make any adjustment of the number of
                           Warrant Shares issuable hereunder or to the Exercise
                           Price in the case of the issuance of the Warrants or
                           the issuance of shares of the Common Stock (or other
                           securities) upon exercise of the Warrants.

                (e)        Treasury Shares. The number of shares of the Common
                           Stock outstanding at any time shall not include
                           treasury shares or shares owned or held by or for the
                           account of the Company or any of its subsidiaries,
                           and the disposition of any such shares shall be
                           considered an issue or sale of the Common Stock for
                           the purposes of this Section 4.

                (f)        Adjustment Notices to Holder. Upon any increase or 
                           decrease in the number of Warrant Shares purchasable
                           upon the exercise of this Warrant or the Exercise
                           Price the Company shall, within 30 days thereafter,
                           deliver written notice thereof to all Holders, which
                           notice shall state the increased or decreased number
                           of Warrant Shares purchasable upon the exercise of
                           this Warrant and the adjusted Exercise Price, setting
                           forth in reasonable detail the method of calculation
                           and the facts upon which such calculations are based.

         Section 5.        Notification by the Company. In case at any time 
while this Warrant remains outstanding:

                (a)        the Company shall declare any dividend or make any
                           distribution upon its Common Stock or any other class
                           of its capital stock; or

                (b)        the Company shall offer for subscription pro rata to
                           the holders of its Common Stock or any other class of
                           its capital stock any additional shares of stock of
                           any class or any other securities convertible into or
                           exchangeable for shares of stock or any rights or
                           options to subscribe thereto; or

                (c)        the Board of Directors of the Company shall authorize
                           any capital reorganization, reclassification or
                           similar transaction involving the capital stock of
                           the Company, or a sale or conveyance of all or a
                           substantial part of the assets of the Company, or a
                           consolidation, merger or business combination of the
                           Company with another Person; or



                                      - 6 -

<PAGE>   7



                (d)        actions or proceedings shall be authorized or
                           commenced for a voluntary or involuntary dissolution,
                           liquidation or winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

         Section 6.        No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7.        Amendment and Waiver.

                (a)        No failure or delay of the Holder in exercising any 
                           power or right hereunder shall operate as a waiver
                           thereof, nor shall any single or partial exercise of
                           such right or power, or any abandonment or
                           discontinuance of steps to enforce such a right or
                           power, preclude any other or further exercise thereof
                           or the exercise of any other right or power. The
                           rights and remedies of the Holder are cumulative and
                           not exclusive of any rights or remedies which it
                           would otherwise have. The provisions of this Warrant
                           may be amended, modified or waived with (and only
                           with) the written consent of the Company and the
                           Required Holders.

                (b)        No notice or demand on the Company in any case shall
                           entitle the Company to any other or further notice or
                           demand in similar or other circumstances.



                                      - 7 -

<PAGE>   8



         Section 8.        No Fractional Warrant Shares. The Company shall not
be required to issue stock certificates representing fractions of Warrant
Shares, but shall in respect of any fraction of a Warrant Share make a payment
in cash based on the Value of the Common Stock after giving effect to the full
exercise or conversion of the Warrants.

         Section 9.        Reservation of Warrant Shares. The Company shall 
authorize, reserve and keep available at all times, free from preemptive rights,
a sufficient number of Warrant Shares to satisfy the requirements of this
Warrant.

         Section 10.       Notices. Unless otherwise specified, whenever this 
Warrant requires or permits any consent, approval, notice, request, or demand
from one party to another, that communication must be in writing (which may be
by telecopy) to be effective and is deemed to have been given (a) if by
telecopy, when transmitted to the appropriate telecopy number (and all
communications sent by telecopy must be confirmed promptly by telephone; but any
requirement in this parenthetical does not affect the date when the telecopy is
deemed to have been delivered), or (b) if by any other means, including by
internationally acceptable courier or hand delivery, when actually delivered.
Until changed by notice pursuant to this Warrant, the address (and telecopy
number) for the Holder and the Company are:

         If to Holder:              Joint Energy Development Investments Limited
                                    Partnership
                                    c/o Enron Corp.
                                    1400 Smith Street
                                    Houston, Texas  77002
                                    Attn:  Donna Lowry - Director, 28th Floor
                                    Facsimile: (713) 646-3602

         If to Company:             Queen Sand Resources, Inc.
                                    13760 Noel Road, Suite 1030
                                    Dallas, Texas 75240-7336
                                    Attn:  Robert P. Lindsay
                                    Facsimile: (972) 233-9575

         With copies to:            Queen Sand Resources, Inc.
                                    30 Metcalfe Street, Suite 620
                                    Ottawa, Canada K1P 5L4
                                    Attn:  Edward J. Munden
                                    Facsimile: (613) 230-6055



                                      - 8 -

<PAGE>   9



                                    Haynes and Boone, LLP
                                    901 Main Street, Suite 3100
                                    Dallas, Texas  75202
                                    Attn:  William L. Boeing, Esq.
                                    Facsimile:  (214) 651-5940

         Section 11.       Section and Other Headings.  The headings contained 
in this Warrant are for reference purposes only and will not affect in any way
the meaning or interpretation of this Warrant.

         Section 12.       Governing Law.  THIS WARRANT SHALL BE GOVERNED BY, 
AND CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

         Section 13.       Binding Effect. The terms and provisions of this 
Warrant shall inure to the benefit of the Holder and its successors and assigns
and shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *






                                      - 9 -

<PAGE>   10



         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of December 14, 1998.


                                             QUEEN SAND RESOURCES, INC.


Attest:                                      By:
       ---------------------------              --------------------------------
         V. Ed Butler                        Name:   Robert P. Lindsay
         Assistant Secretary                 Title:  Chief Operating Officer and
                                                      Executive Vice President









                                     - 10 -

<PAGE>   11



                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of $__________.


                                              Name of Holder:



                                              ---------------------------------
                                                     
                                             Signature:
                                                       ------------------------
                                             Title:
                                                   ----------------------------
                                             Address:
                                                     --------------------------
   
                                             ----------------------------------

                                             ----------------------------------

Dated:             ,      
       ------------  -----



                                     - 11 -

<PAGE>   12


                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                             Name of Holder:



                                             ---------------------------------
                                                     
                                             Signature:
                                                       ------------------------
                                             Title:
                                                   ----------------------------
                                             Address:
                                                     --------------------------
   
                                             ----------------------------------

                                             ----------------------------------

Dated:             ,      
       ------------  -----

In the presence of

- -----------------------------------


                                     NOTICE:
The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.





                                     - 12 -


<PAGE>   1
                                                                    EXHIBIT 4.29

- --------------------------------------------------------------------------------
THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.
- --------------------------------------------------------------------------------

WARRANT TO PURCHASE
   37,141 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 37,141 shares (as such number of shares may be adjusted pursuant to the
terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per share,
of the Company, at a price per share equal to the Exercise Price (as defined
below). This Warrant is issued to the Holder (together with such other warrants
as may be issued in exchange, transfer or replacement of this Warrant, the
"Warrants") pursuant to the Securities Purchase Agreement (as defined below) and
entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.



<PAGE>   2



         Section 1.        Definitions. The following terms, as used herein, 
have the following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means December 11, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $4.375. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means December 11, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.



                                      - 2 -

<PAGE>   3



         Section 2.        Exercise of Warrant; Cancellations of Warrant. This 
Warrant may be exercised in whole or in part, at any time or from time to time,
during the Exercise Period, by presentation and surrender hereof to the Company
at its principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3.        Exchange, Transfer, Assignment or Loss of Warrant. 
This Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.



                                      - 3 -

<PAGE>   4



         Section 4.        Antidilution Provisions.

                (a)        Adjustment of Number of Warrant Shares and Exercise 
                           Price. The number of Warrant Shares purchasable
                           pursuant hereto and the Exercise Price, each shall be
                           subject to adjustment from time to time on and after
                           the Date of Issuance as provided in this Section
                           4(a). In case the Company shall at any time after the
                           Date of Issuance (i) pay a dividend of shares of
                           Common Stock or make a distribution of shares of
                           Common Stock, (ii) subdivide its outstanding shares
                           of Common Stock into a larger number of shares of
                           Common Stock, (iii) combine its outstanding shares of
                           Common Stock into a smaller number of shares of
                           Common Stock or (iv) issue any shares of its capital
                           stock or other assets in a reclassification or
                           reorganization of the Common Stock (including any
                           such reclassification in connection with a
                           consolidation or merger in which the Company is the
                           continuing entity), then (x) the securities
                           purchasable pursuant hereto shall be adjusted to the
                           number of Warrant Shares and amount of any other
                           securities, cash or other property of the Company
                           which the Holder would have owned or have been
                           entitled to receive after the happening of any of the
                           events described above, had this Warrant been
                           exercised immediately prior to the happening of such
                           event or any record date with respect thereto, and
                           (y) the Exercise Price shall be adjusted to equal the
                           Exercise Price immediately prior to the adjustment
                           multiplied by a fraction, (A) the numerator of which
                           is the number of Warrant Shares for which this
                           Warrant is exercisable immediately prior to the
                           adjustment, and (B) the denominator of which is the
                           number of shares for which this Warrant is
                           exercisable immediately after such adjustment. The
                           adjustments made pursuant to this Section 4(a) shall
                           become effective immediately after the effective date
                           of the event creating such right of adjustment,
                           retroactive to the record date, if any, for such
                           event. Any Warrant Shares purchasable as a result of
                           such adjustment shall not be issued prior to the
                           effective date of such event.

                           For the purpose of this Section 4(a) and (b), the
                  term "shares of Common Stock" means (i) the classes of stock
                  designated as the Common Stock of the Company as of the date
                  hereof, or (ii) any other class of stock resulting from
                  successive changes or reclassifications of such shares
                  consisting solely of changes in par value, or from par value
                  to no par value, or from no par value to par value. In the
                  event that at any time, as a result of an adjustment made
                  pursuant to this Section 4(a), the Holder shall become
                  entitled to receive any securities of the Company other than
                  shares of Common Stock, thereafter the number of such other
                  securities so receivable upon exercise of this Warrant shall
                  be subject to


                                      - 4 -

<PAGE>   5



                  adjustment from time to time in a manner and on terms as
                  nearly equivalent as practicable to the provisions with
                  respect to the Warrant Shares contained in this Section 4.

                  (b)      Reorganization, Merger, etc. If any capital 
                           reorganization, reclassification or similar
                           transaction involving the capital stock of the
                           Company (other than as specified in Section 4(a)),
                           any consolidation, merger or business combination of
                           the Company with another corporation or the sale or
                           conveyance of all or any substantial part of its
                           assets to another corporation, shall be effected in
                           such a way that holders of the shares of Common Stock
                           shall be entitled to receive stock, securities or
                           assets (including, without limitation, cash) with
                           respect to or in exchange for shares of the Common
                           Stock, then, prior to and as a condition of such
                           reorganization, reclassification, similar
                           transaction, consolidation, merger, business
                           combination, sale or conveyance, lawful and adequate
                           provision shall be made whereby the Holder shall
                           thereafter have the right to purchase and receive
                           upon the basis and upon the terms and conditions
                           specified in this Warrant and in lieu of the Warrant
                           Shares immediately theretofore purchasable and
                           receivable upon the exercise of this Warrant, such
                           shares of stock, securities or assets as may be
                           issued or payable with respect to or in exchange for
                           a number of outstanding Warrant Shares equal to the
                           number of Warrant Shares immediately theretofore
                           purchasable and receivable upon the exercise of this
                           Warrant had such reorganization, reclassification,
                           similar transaction, consolidation, merger, business
                           combination, sale or conveyance not taken place. The
                           Company shall not effect any such consolidation,
                           merger, business combination, sale or conveyance
                           unless prior to or simultaneously with the
                           consummation thereof the survivor or successor
                           corporation (if other than the Company) resulting
                           from such consolidation or merger or the corporation
                           purchasing such assets shall assume by written
                           instrument executed and sent to the Holder, the
                           obligation to deliver to the Holder such shares of
                           stock, securities or assets as, in accordance with
                           the foregoing provisions, the Holder may be entitled
                           to receive.

                  (c)      Statement on Warrant Certificates. Irrespective of
                           any adjustments in the Exercise Price or the number
                           or kind of Warrant Shares, this Warrant may continue
                           to express the same price and number and kind of
                           shares as are stated on the front page hereof.



                                      - 5 -

<PAGE>   6



                (d)        Exception to Adjustment. Anything herein to the
                           contrary notwithstanding, the Company shall not be
                           required to make any adjustment of the number of
                           Warrant Shares issuable hereunder or to the Exercise
                           Price in the case of the issuance of the Warrants or
                           the issuance of shares of the Common Stock (or other
                           securities) upon exercise of the Warrants.

                (e)        Treasury Shares. The number of shares of the Common
                           Stock outstanding at any time shall not include
                           treasury shares or shares owned or held by or for the
                           account of the Company or any of its subsidiaries,
                           and the disposition of any such shares shall be
                           considered an issue or sale of the Common Stock for
                           the purposes of this Section 4.

                (f)        Adjustment Notices to Holder. Upon any increase or 
                           decrease in the number of Warrant Shares purchasable
                           upon the exercise of this Warrant or the Exercise
                           Price the Company shall, within 30 days thereafter,
                           deliver written notice thereof to all Holders, which
                           notice shall state the increased or decreased number
                           of Warrant Shares purchasable upon the exercise of
                           this Warrant and the adjusted Exercise Price, setting
                           forth in reasonable detail the method of calculation
                           and the facts upon which such calculations are based.

         Section 5.        Notification by the Company. In case at any time 
while this Warrant remains outstanding:

                (a)        the Company shall declare any dividend or make any
                           distribution upon its Common Stock or any other class
                           of its capital stock; or

                (b)        the Company shall offer for subscription pro rata to
                           the holders of its Common Stock or any other class of
                           its capital stock any additional shares of stock of
                           any class or any other securities convertible into or
                           exchangeable for shares of stock or any rights or
                           options to subscribe thereto; or

                (c)        the Board of Directors of the Company shall authorize
                           any capital reorganization, reclassification or
                           similar transaction involving the capital stock of
                           the Company, or a sale or conveyance of all or a
                           substantial part of the assets of the Company, or a
                           consolidation, merger or business combination of the
                           Company with another Person; or



                                      - 6 -

<PAGE>   7



                (d)        actions or proceedings shall be authorized or
                           commenced for a voluntary or involuntary dissolution,
                           liquidation or winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

         Section 6.        No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7.        Amendment and Waiver.

                (a)        No failure or delay of the Holder in exercising any 
                           power or right hereunder shall operate as a waiver
                           thereof, nor shall any single or partial exercise of
                           such right or power, or any abandonment or
                           discontinuance of steps to enforce such a right or
                           power, preclude any other or further exercise thereof
                           or the exercise of any other right or power. The
                           rights and remedies of the Holder are cumulative and
                           not exclusive of any rights or remedies which it
                           would otherwise have. The provisions of this Warrant
                           may be amended, modified or waived with (and only
                           with) the written consent of the Company and the
                           Required Holders.

                (b)        No notice or demand on the Company in any case shall
                           entitle the Company to any other or further notice or
                           demand in similar or other circumstances.



                                      - 7 -

<PAGE>   8



         Section 8.        No Fractional Warrant Shares. The Company shall not 
be required to issue stock certificates representing fractions of Warrant
Shares, but shall in respect of any fraction of a Warrant Share make a payment
in cash based on the Value of the Common Stock after giving effect to the full
exercise or conversion of the Warrants.

         Section 9.        Reservation of Warrant Shares. The Company shall 
authorize, reserve and keep available at all times, free from preemptive rights,
a sufficient number of Warrant Shares to satisfy the requirements of this
Warrant.

         Section 10.       Notices. Unless otherwise specified, whenever this 
Warrant requires or permits any consent, approval, notice, request, or demand
from one party to another, that communication must be in writing (which may be
by telecopy) to be effective and is deemed to have been given (a) if by
telecopy, when transmitted to the appropriate telecopy number (and all
communications sent by telecopy must be confirmed promptly by telephone; but any
requirement in this parenthetical does not affect the date when the telecopy is
deemed to have been delivered), or (b) if by any other means, including by
internationally acceptable courier or hand delivery, when actually delivered.
Until changed by notice pursuant to this Warrant, the address (and telecopy
number) for the Holder and the Company are:

         If to Holder:              Joint Energy Development Investments Limited
                                    Partnership
                                    c/o Enron Corp.
                                    1400 Smith Street
                                    Houston, Texas  77002
                                    Attn:  Donna Lowry - Director, 28th Floor
                                    Facsimile: (713) 646-3602

         If to Company:             Queen Sand Resources, Inc.
                                    13760 Noel Road, Suite 1030
                                    Dallas, Texas 75240-7336
                                    Attn:  Robert P. Lindsay
                                    Facsimile: (972) 233-9575

         With copies to:            Queen Sand Resources, Inc.
                                    30 Metcalfe Street, Suite 620
                                    Ottawa, Canada K1P 5L4
                                    Attn:  Edward J. Munden
                                    Facsimile: (613) 230-6055



                                      - 8 -

<PAGE>   9



                                    Haynes and Boone, LLP
                                    901 Main Street, Suite 3100
                                    Dallas, Texas  75202
                                    Attn:  William L. Boeing, Esq.
                                    Facsimile:  (214) 651-5940

         Section 11.       Section and Other Headings. The headings contained 
in this Warrant are for reference purposes only and will not affect in any way
the meaning or interpretation of this Warrant.

         Section 12.       Governing Law. THIS WARRANT SHALL BE GOVERNED BY, AND
CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

         Section 13.       Binding Effect. The terms and provisions of this 
Warrant shall inure to the benefit of the Holder and its successors and assigns
and shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *


                                      - 9 -

<PAGE>   10



         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of December 11, 1998.


                                           QUEEN SAND RESOURCES, INC.


Attest:                                    By:
       --------------------------             ---------------------------------
         V. Ed Butler                      Name:    Robert P. Lindsay
         Assistant Secretary               Title:   Chief Operating Officer and
                                                     Executive Vice President





                                     - 10 -

<PAGE>   11



                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of $__________.


                                          Name of Holder:


                                          -------------------------------------

                                          Signature:
                                                    ---------------------------
                                          Title:
                                                -------------------------------
                                          Address:
                                                  -----------------------------

                                          -------------------------------------

                                          -------------------------------------

Dated: 
       ------------ ,-----



                                     - 11 -

<PAGE>   12


                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                          Name of Holder:


                                          -------------------------------------

                                          Signature:
                                                    ---------------------------
                                          Title:
                                                -------------------------------
                                          Address:
                                                  -----------------------------

                                          -------------------------------------

                                          -------------------------------------

Dated: 
       ------------ ,-----

In the presence of

- --------------------------

                                     NOTICE:
The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.


                                     - 12 -




<PAGE>   1
                                                                    EXHIBIT 4.30

- --------------------------------------------------------------------------------

THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.

- --------------------------------------------------------------------------------


WARRANT TO PURCHASE
   8,360 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 8,360 shares (as such number of shares may be adjusted pursuant to the
terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per share,
of the Company, at a price per share equal to the Exercise Price (as defined
below). This Warrant is issued to the Holder (together with such other warrants
as may be issued in exchange, transfer or replacement of this Warrant, the
"Warrants") pursuant to the Securities Purchase Agreement (as defined below) and
entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.




<PAGE>   2



         Section 1. Definitions. The following terms, as used herein, have the
following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means December 9, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $5.500. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means December 9, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.




                                      - 2 -

<PAGE>   3



         Section 2. Exercise of Warrant; Cancellations of Warrant. This Warrant
may be exercised in whole or in part, at any time or from time to time, during
the Exercise Period, by presentation and surrender hereof to the Company at its
principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3. Exchange, Transfer, Assignment or Loss of Warrant. This
Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.




                                      - 3 -

<PAGE>   4



         Section 4. Antidilution Provisions.

                (a) Adjustment of Number of Warrant Shares and Exercise Price.
                    The number of Warrant Shares purchasable pursuant hereto and
                    the Exercise Price, each shall be subject to adjustment from
                    time to time on and after the Date of Issuance as provided
                    in this Section 4(a). In case the Company shall at any time
                    after the Date of Issuance (i) pay a dividend of shares of
                    Common Stock or make a distribution of shares of Common
                    Stock, (ii) subdivide its outstanding shares of Common Stock
                    into a larger number of shares of Common Stock, (iii)
                    combine its outstanding shares of Common Stock into a
                    smaller number of shares of Common Stock or (iv) issue any
                    shares of its capital stock or other assets in a
                    reclassification or reorganization of the Common Stock
                    (including any such reclassification in connection with a
                    consolidation or merger in which the Company is the
                    continuing entity), then (x) the securities purchasable
                    pursuant hereto shall be adjusted to the number of Warrant
                    Shares and amount of any other securities, cash or other
                    property of the Company which the Holder would have owned or
                    have been entitled to receive after the happening of any of
                    the events described above, had this Warrant been exercised
                    immediately prior to the happening of such event or any
                    record date with respect thereto, and (y) the Exercise Price
                    shall be adjusted to equal the Exercise Price immediately
                    prior to the adjustment multiplied by a fraction, (A) the
                    numerator of which is the number of Warrant Shares for which
                    this Warrant is exercisable immediately prior to the
                    adjustment, and (B) the denominator of which is the number
                    of shares for which this Warrant is exercisable immediately
                    after such adjustment. The adjustments made pursuant to this
                    Section 4(a) shall become effective immediately after the
                    effective date of the event creating such right of
                    adjustment, retroactive to the record date, if any, for such
                    event. Any Warrant Shares purchasable as a result of such
                    adjustment shall not be issued prior to the effective date
                    of such event.

                    For the purpose of this Section 4(a) and (b), the term
                "shares of Common Stock" means (i) the classes of stock
                designated as the Common Stock of the Company as of the date
                hereof, or (ii) any other class of stock resulting from
                successive changes or reclassifications of such shares
                consisting solely of changes in par value, or from par value to
                no par value, or from no par value to par value. In the event
                that at any time, as a result of an adjustment made pursuant to
                this Section 4(a), the Holder shall become entitled to receive
                any securities of the Company other than shares of Common Stock,
                thereafter the number of such other securities so receivable
                upon exercise of this Warrant shall be subject to


 
                                      - 4 -

<PAGE>   5



                adjustment from time to time in a manner and on terms as nearly
                equivalent as practicable to the provisions with respect to the
                Warrant Shares contained in this Section 4.

                (b) Reorganization, Merger, etc. If any capital reorganization,
                    reclassification or similar transaction involving the
                    capital stock of the Company (other than as specified in
                    Section 4(a)), any consolidation, merger or business
                    combination of the Company with another corporation or the
                    sale or conveyance of all or any substantial part of its
                    assets to another corporation, shall be effected in such a
                    way that holders of the shares of Common Stock shall be
                    entitled to receive stock, securities or assets (including,
                    without limitation, cash) with respect to or in exchange for
                    shares of the Common Stock, then, prior to and as a
                    condition of such reorganization, reclassification, similar
                    transaction, consolidation, merger, business combination,
                    sale or conveyance, lawful and adequate provision shall be
                    made whereby the Holder shall thereafter have the right to
                    purchase and receive upon the basis and upon the terms and
                    conditions specified in this Warrant and in lieu of the
                    Warrant Shares immediately theretofore purchasable and
                    receivable upon the exercise of this Warrant, such shares of
                    stock, securities or assets as may be issued or payable with
                    respect to or in exchange for a number of outstanding
                    Warrant Shares equal to the number of Warrant Shares
                    immediately theretofore purchasable and receivable upon the
                    exercise of this Warrant had such reorganization,
                    reclassification, similar transaction, consolidation,
                    merger, business combination, sale or conveyance not taken
                    place. The Company shall not effect any such consolidation,
                    merger, business combination, sale or conveyance unless
                    prior to or simultaneously with the consummation thereof the
                    survivor or successor corporation (if other than the
                    Company) resulting from such consolidation or merger or the
                    corporation purchasing such assets shall assume by written
                    instrument executed and sent to the Holder, the obligation
                    to deliver to the Holder such shares of stock, securities or
                    assets as, in accordance with the foregoing provisions, the
                    Holder may be entitled to receive.

                (c) Statement on Warrant Certificates. Irrespective of any
                    adjustments in the Exercise Price or the number or kind of
                    Warrant Shares, this Warrant may continue to express the
                    same price and number and kind of shares as are stated on
                    the front page hereof.



 
                                      - 5 -

<PAGE>   6



                (d) Exception to Adjustment. Anything herein to the contrary
                    notwithstanding, the Company shall not be required to make
                    any adjustment of the number of Warrant Shares issuable
                    hereunder or to the Exercise Price in the case of the
                    issuance of the Warrants or the issuance of shares of the
                    Common Stock (or other securities) upon exercise of the
                    Warrants.

                (e) Treasury Shares. The number of shares of the Common Stock
                    outstanding at any time shall not include treasury shares or
                    shares owned or held by or for the account of the Company or
                    any of its subsidiaries, and the disposition of any such
                    shares shall be considered an issue or sale of the Common
                    Stock for the purposes of this Section 4.

                (f) Adjustment Notices to Holder. Upon any increase or decrease
                    in the number of Warrant Shares purchasable upon the
                    exercise of this Warrant or the Exercise Price the Company
                    shall, within 30 days thereafter, deliver written notice
                    thereof to all Holders, which notice shall state the
                    increased or decreased number of Warrant Shares purchasable
                    upon the exercise of this Warrant and the adjusted Exercise
                    Price, setting forth in reasonable detail the method of
                    calculation and the facts upon which such calculations are
                    based.

         Section 5. Notification by the Company. In case at any time while this
Warrant remains outstanding:

                (a) the Company shall declare any dividend or make any
                    distribution upon its Common Stock or any other class of its
                    capital stock; or

                (b) the Company shall offer for subscription pro rata to the
                    holders of its Common Stock or any other class of its
                    capital stock any additional shares of stock of any class or
                    any other securities convertible into or exchangeable for
                    shares of stock or any rights or options to subscribe
                    thereto; or

                (c) the Board of Directors of the Company shall authorize any
                    capital reorganization, reclassification or similar
                    transaction involving the capital stock of the Company, or a
                    sale or conveyance of all or a substantial part of the
                    assets of the Company, or a consolidation, merger or
                    business combination of the Company with another Person; or



 
                                      - 6 -

<PAGE>   7



                (d) actions or proceedings shall be authorized or commenced for
                    a voluntary or involuntary dissolution, liquidation or
                    winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

         Section 6. No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7. Amendment and Waiver.

                (a) No failure or delay of the Holder in exercising any power or
                    right hereunder shall operate as a waiver thereof, nor shall
                    any single or partial exercise of such right or power, or
                    any abandonment or discontinuance of steps to enforce such a
                    right or power, preclude any other or further exercise
                    thereof or the exercise of any other right or power. The
                    rights and remedies of the Holder are cumulative and not
                    exclusive of any rights or remedies which it would otherwise
                    have. The provisions of this Warrant may be amended,
                    modified or waived with (and only with) the written consent
                    of the Company and the Required Holders.

                (b) No notice or demand on the Company in any case shall entitle
                    the Company to any other or further notice or demand in
                    similar or other circumstances.



 
                                      - 7 -

<PAGE>   8



         Section 8. No Fractional Warrant Shares. The Company shall not be
required to issue stock certificates representing fractions of Warrant Shares,
but shall in respect of any fraction of a Warrant Share make a payment in cash
based on the Value of the Common Stock after giving effect to the full exercise
or conversion of the Warrants.

         Section 9. Reservation of Warrant Shares. The Company shall authorize,
reserve and keep available at all times, free from preemptive rights, a
sufficient number of Warrant Shares to satisfy the requirements of this Warrant.

         Section 10. Notices. Unless otherwise specified, whenever this Warrant
requires or permits any consent, approval, notice, request, or demand from one
party to another, that communication must be in writing (which may be by
telecopy) to be effective and is deemed to have been given (a) if by telecopy,
when transmitted to the appropriate telecopy number (and all communications sent
by telecopy must be confirmed promptly by telephone; but any requirement in this
parenthetical does not affect the date when the telecopy is deemed to have been
delivered), or (b) if by any other means, including by internationally
acceptable courier or hand delivery, when actually delivered. Until changed by
notice pursuant to this Warrant, the address (and telecopy number) for the
Holder and the Company are:

<TABLE>
<S>                                 <C>
         If to Holder:              Joint Energy Development Investments Limited Partnership
                                    c/o Enron Corp.
                                    1400 Smith Street
                                    Houston, Texas  77002
                                    Attn:  Donna Lowry - Director, 28th Floor
                                    Facsimile: (713) 646-3602

         If to Company:             Queen Sand Resources, Inc.
                                    13760 Noel Road, Suite 1030
                                    Dallas, Texas 75240-7336
                                    Attn:  Robert P. Lindsay
                                    Facsimile: (972) 233-9575

         With copies to:            Queen Sand Resources, Inc.
                                    30 Metcalfe Street, Suite 620
                                    Ottawa, Canada K1P 5L4
                                    Attn:  Edward J. Munden
                                    Facsimile: (613) 230-6055
</TABLE>



 
                                      - 8 -

<PAGE>   9



                                    Haynes and Boone, LLP
                                    901 Main Street, Suite 3100
                                    Dallas, Texas  75202
                                    Attn:  William L. Boeing, Esq.
                                    Facsimile:  (214) 651-5940

         Section 11. Section and Other Headings. The headings contained in this
Warrant are for reference purposes only and will not affect in any way the
meaning or interpretation of this Warrant.

         Section 12. Governing Law. THIS WARRANT SHALL BE GOVERNED BY, AND
CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

         Section 13. Binding Effect. The terms and provisions of this Warrant
shall inure to the benefit of the Holder and its successors and assigns and
shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *





                                      - 9 -

<PAGE>   10



         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of December 9, 1998.


                                        QUEEN SAND RESOURCES, INC.


Attest:                                 By:
       ---------------------------         ------------------------------------
         V. Ed Butler                   Name:   Robert P. Lindsay
         Assistant Secretary            Title:  Chief Operating Officer and
                                                 Executive Vice President





 
                                     - 10 -

<PAGE>   11



                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of $__________.


                                    Name of Holder:


                                    -------------------------------------------
                                    Signature:
                                              ---------------------------------
                                    Title:
                                          -------------------------------------
                                    Address:
                                            -----------------------------------

                                    -------------------------------------------

                                    -------------------------------------------

Dated:             ,
       ------------  -----



 
                                     - 11 -

<PAGE>   12


                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                    Name of Holder:


                                    -------------------------------------------
                                    Signature:
                                              ---------------------------------
                                    Title:
                                          -------------------------------------
                                    Address:
                                            -----------------------------------

                                    -------------------------------------------

                                    -------------------------------------------

Dated:             ,
       ------------  -----

In the presence of



                                     NOTICE:

The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.


 
                                     - 12 -





<PAGE>   1


                                                                    EXHIBIT 4.31

- --------------------------------------------------------------------------------


THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.

- --------------------------------------------------------------------------------


WARRANT TO PURCHASE
   10,973 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 10,973 shares (as such number of shares may be adjusted pursuant to the
terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per share,
of the Company, at a price per share equal to the Exercise Price (as defined
below). This Warrant is issued to the Holder (together with such other warrants
as may be issued in exchange, transfer or replacement of this Warrant, the
"Warrants") pursuant to the Securities Purchase Agreement (as defined below) and
entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.



<PAGE>   2




         Section 1. Definitions. The following terms, as used herein, have the
following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means December 7, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $5.500. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means December 7, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.

                                      - 2 -

<PAGE>   3


         Section 2. Exercise of Warrant; Cancellations of Warrant. This Warrant
may be exercised in whole or in part, at any time or from time to time, during
the Exercise Period, by presentation and surrender hereof to the Company at its
principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3. Exchange, Transfer, Assignment or Loss of Warrant. This
Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.

                                      - 3 -

<PAGE>   4


         Section 4. Antidilution Provisions.

                (a) Adjustment of Number of Warrant Shares and Exercise Price.
                    The number of Warrant Shares purchasable pursuant hereto and
                    the Exercise Price, each shall be subject to adjustment from
                    time to time on and after the Date of Issuance as provided
                    in this Section 4(a). In case the Company shall at any time
                    after the Date of Issuance (i) pay a dividend of shares of
                    Common Stock or make a distribution of shares of Common
                    Stock, (ii) subdivide its outstanding shares of Common Stock
                    into a larger number of shares of Common Stock, (iii)
                    combine its outstanding shares of Common Stock into a
                    smaller number of shares of Common Stock or (iv) issue any
                    shares of its capital stock or other assets in a
                    reclassification or reorganization of the Common Stock
                    (including any such reclassification in connection with a
                    consolidation or merger in which the Company is the
                    continuing entity), then (x) the securities purchasable
                    pursuant hereto shall be adjusted to the number of Warrant
                    Shares and amount of any other securities, cash or other
                    property of the Company which the Holder would have owned or
                    have been entitled to receive after the happening of any of
                    the events described above, had this Warrant been exercised
                    immediately prior to the happening of such event or any
                    record date with respect thereto, and (y) the Exercise Price
                    shall be adjusted to equal the Exercise Price immediately
                    prior to the adjustment multiplied by a fraction, (A) the
                    numerator of which is the number of Warrant Shares for which
                    this Warrant is exercisable immediately prior to the
                    adjustment, and (B) the denominator of which is the number
                    of shares for which this Warrant is exercisable immediately
                    after such adjustment. The adjustments made pursuant to this
                    Section 4(a) shall become effective immediately after the
                    effective date of the event creating such right of
                    adjustment, retroactive to the record date, if any, for such
                    event. Any Warrant Shares purchasable as a result of such
                    adjustment shall not be issued prior to the effective date
                    of such event.

                    For the purpose of this Section 4(a) and (b), the term
                "shares of Common Stock" means (i) the classes of stock
                designated as the Common Stock of the Company as of the date
                hereof, or (ii) any other class of stock resulting from
                successive changes or reclassifications of such shares
                consisting solely of changes in par value, or from par value to
                no par value, or from no par value to par value. In the event
                that at any time, as a result of an adjustment made pursuant to
                this Section 4(a), the Holder shall become entitled to receive
                any securities of the Company other than shares of Common Stock,
                thereafter the number of such other securities so receivable
                upon exercise of this Warrant shall be subject to

                                      - 4 -

<PAGE>   5


                adjustment from time to time in a manner and on terms as nearly
                equivalent as practicable to the provisions with respect to the
                Warrant Shares contained in this Section 4.

                (b) Reorganization, Merger, etc. If any capital reorganization,
                    reclassification or similar transaction involving the
                    capital stock of the Company (other than as specified in
                    Section 4(a)), any consolidation, merger or business
                    combination of the Company with another corporation or the
                    sale or conveyance of all or any substantial part of its
                    assets to another corporation, shall be effected in such a
                    way that holders of the shares of Common Stock shall be
                    entitled to receive stock, securities or assets (including,
                    without limitation, cash) with respect to or in exchange for
                    shares of the Common Stock, then, prior to and as a
                    condition of such reorganization, reclassification, similar
                    transaction, consolidation, merger, business combination,
                    sale or conveyance, lawful and adequate provision shall be
                    made whereby the Holder shall thereafter have the right to
                    purchase and receive upon the basis and upon the terms and
                    conditions specified in this Warrant and in lieu of the
                    Warrant Shares immediately theretofore purchasable and
                    receivable upon the exercise of this Warrant, such shares of
                    stock, securities or assets as may be issued or payable with
                    respect to or in exchange for a number of outstanding
                    Warrant Shares equal to the number of Warrant Shares
                    immediately theretofore purchasable and receivable upon the
                    exercise of this Warrant had such reorganization,
                    reclassification, similar transaction, consolidation,
                    merger, business combination, sale or conveyance not taken
                    place. The Company shall not effect any such consolidation,
                    merger, business combination, sale or conveyance unless
                    prior to or simultaneously with the consummation thereof the
                    survivor or successor corporation (if other than the
                    Company) resulting from such consolidation or merger or the
                    corporation purchasing such assets shall assume by written
                    instrument executed and sent to the Holder, the obligation
                    to deliver to the Holder such shares of stock, securities or
                    assets as, in accordance with the foregoing provisions, the
                    Holder may be entitled to receive.

                (c) Statement on Warrant Certificates. Irrespective of any
                    adjustments in the Exercise Price or the number or kind of
                    Warrant Shares, this Warrant may continue to express the
                    same price and number and kind of shares as are stated on
                    the front page hereof.

                                      - 5 -

<PAGE>   6


                (d) Exception to Adjustment. Anything herein to the contrary
                    notwithstanding, the Company shall not be required to make
                    any adjustment of the number of Warrant Shares issuable
                    hereunder or to the Exercise Price in the case of the
                    issuance of the Warrants or the issuance of shares of the
                    Common Stock (or other securities) upon exercise of the
                    Warrants.

                (e) Treasury Shares. The number of shares of the Common Stock
                    outstanding at any time shall not include treasury shares or
                    shares owned or held by or for the account of the Company or
                    any of its subsidiaries, and the disposition of any such
                    shares shall be considered an issue or sale of the Common
                    Stock for the purposes of this Section 4.

                (f) Adjustment Notices to Holder. Upon any increase or decrease
                    in the number of Warrant Shares purchasable upon the
                    exercise of this Warrant or the Exercise Price the Company
                    shall, within 30 days thereafter, deliver written notice
                    thereof to all Holders, which notice shall state the
                    increased or decreased number of Warrant Shares purchasable
                    upon the exercise of this Warrant and the adjusted Exercise
                    Price, setting forth in reasonable detail the method of
                    calculation and the facts upon which such calculations are
                    based.

         Section 5. Notification by the Company. In case at any time while this
Warrant remains outstanding:

                (a) the Company shall declare any dividend or make any
                    distribution upon its Common Stock or any other class of its
                    capital stock; or

                (b) the Company shall offer for subscription pro rata to the
                    holders of its Common Stock or any other class of its
                    capital stock any additional shares of stock of any class or
                    any other securities convertible into or exchangeable for
                    shares of stock or any rights or options to subscribe
                    thereto; or

                (c) the Board of Directors of the Company shall authorize any
                    capital reorganization, reclassification or similar
                    transaction involving the capital stock of the Company, or a
                    sale or conveyance of all or a substantial part of the
                    assets of the Company, or a consolidation, merger or
                    business combination of the Company with another Person; or

                                      - 6 -

<PAGE>   7


                (d) actions or proceedings shall be authorized or commenced for
                    a voluntary or involuntary dissolution, liquidation or
                    winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

         Section 6. No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7. Amendment and Waiver.

                (a) No failure or delay of the Holder in exercising any power or
                    right hereunder shall operate as a waiver thereof, nor shall
                    any single or partial exercise of such right or power, or
                    any abandonment or discontinuance of steps to enforce such a
                    right or power, preclude any other or further exercise
                    thereof or the exercise of any other right or power. The
                    rights and remedies of the Holder are cumulative and not
                    exclusive of any rights or remedies which it would otherwise
                    have. The provisions of this Warrant may be amended,
                    modified or waived with (and only with) the written consent
                    of the Company and the Required Holders.

                (b) No notice or demand on the Company in any case shall entitle
                    the Company to any other or further notice or demand in
                    similar or other circumstances.

                                      - 7 -

<PAGE>   8




         Section 8. No Fractional Warrant Shares. The Company shall not be
required to issue stock certificates representing fractions of Warrant Shares,
but shall in respect of any fraction of a Warrant Share make a payment in cash
based on the Value of the Common Stock after giving effect to the full exercise
or conversion of the Warrants.

         Section 9. Reservation of Warrant Shares. The Company shall authorize,
reserve and keep available at all times, free from preemptive rights, a
sufficient number of Warrant Shares to satisfy the requirements of this Warrant.

         Section 10. Notices. Unless otherwise specified, whenever this Warrant
requires or permits any consent, approval, notice, request, or demand from one
party to another, that communication must be in writing (which may be by
telecopy) to be effective and is deemed to have been given (a) if by telecopy,
when transmitted to the appropriate telecopy number (and all communications sent
by telecopy must be confirmed promptly by telephone; but any requirement in this
parenthetical does not affect the date when the telecopy is deemed to have been
delivered), or (b) if by any other means, including by internationally
acceptable courier or hand delivery, when actually delivered. Until changed by
notice pursuant to this Warrant, the address (and telecopy number) for the
Holder and the Company are:

         If to Holder:   Joint Energy Development Investments
                           Limited Partnership
                         c/o Enron Corp.
                         1400 Smith Street
                         Houston, Texas  77002
                         Attn:  Donna Lowry - Director, 28th Floor
                         Facsimile: (713) 646-3602

         If to Company:  Queen Sand Resources, Inc.
                         13760 Noel Road, Suite 1030
                         Dallas, Texas 75240-7336
                         Attn:  Robert P. Lindsay
                         Facsimile: (972) 233-9575

         With copies to: Queen Sand Resources, Inc.
                         30 Metcalfe Street, Suite 620
                         Ottawa, Canada K1P 5L4
                         Attn:  Edward J. Munden
                         Facsimile: (613) 230-6055

                                      - 8 -

<PAGE>   9


                         Haynes and Boone, LLP
                         901 Main Street, Suite 3100
                         Dallas, Texas  75202
                         Attn:  William L. Boeing, Esq.
                         Facsimile:  (214) 651-5940

         Section 11. Section and Other Headings. The headings contained in this
Warrant are for reference purposes only and will not affect in any way the
meaning or interpretation of this Warrant.

         Section 12. Governing Law. THIS WARRANT SHALL BE GOVERNED BY, AND
CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

         Section 13. Binding Effect. The terms and provisions of this Warrant
shall inure to the benefit of the Holder and its successors and assigns and
shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *

                                      - 9 -

<PAGE>   10


         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of December 7, 1998.


                                       QUEEN SAND RESOURCES, INC.


Attest:                                By:
       ----------------------------       ---------------------------------
       V. Ed Butler                    Name:  Robert P. Lindsay
       Assistant Secretary             Title: Chief Operating Officer and
                                               Executive Vice President

                                     - 10 -

<PAGE>   11


                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of $__________.


                                       Name of Holder:



                                       ------------------------------------
                                       Signature:
                                                 --------------------------
                                       Title:
                                             ------------------------------
                                       Address:
                                               ----------------------------

                                       ------------------------------------

                                       ------------------------------------

Dated: ____________, _____

                                     - 11 -

<PAGE>   12


                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                       Name of Holder:



                                       ------------------------------------
                                       Signature:
                                                 --------------------------
                                       Title:
                                             ------------------------------
                                       Address:
                                               ----------------------------

                                       ------------------------------------

                                       ------------------------------------

Dated: ____________, _____

In the presence of

- ---------------------------------------

                                     NOTICE:
The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.

                                     - 12 -

<PAGE>   1
                                                                    EXHIBIT 4.32

- --------------------------------------------------------------------------------

THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.

- --------------------------------------------------------------------------------


WARRANT TO PURCHASE
  8,180 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 8,180 shares (as such number of shares may be adjusted pursuant to the
terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per share,
of the Company, at a price per share equal to the Exercise Price (as defined
below). This Warrant is issued to the Holder (together with such other warrants
as may be issued in exchange, transfer or replacement of this Warrant, the
"Warrants") pursuant to the Securities Purchase Agreement (as defined below) and
entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.



<PAGE>   2

         Section 1.   Definitions. The following terms, as used herein, have the
following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means December 4, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $5.500. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means December 4, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.



                                      - 2 -

<PAGE>   3
         Section 2.   Exercise of Warrant; Cancellations of Warrant. This 
Warrant may be exercised in whole or in part, at any time or from time to time,
during the Exercise Period, by presentation and surrender hereof to the Company
at its principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3.   Exchange, Transfer, Assignment or Loss of Warrant. This
Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.



                                      - 3 -

<PAGE>   4
         Section 4.        Antidilution Provisions.

                (a)        Adjustment of Number of Warrant Shares and Exercise
                           Price. The number of Warrant Shares purchasable
                           pursuant hereto and the Exercise Price, each shall be
                           subject to adjustment from time to time on and after
                           the Date of Issuance as provided in this Section
                           4(a). In case the Company shall at any time after the
                           Date of Issuance (i) pay a dividend of shares of
                           Common Stock or make a distribution of shares of
                           Common Stock, (ii) subdivide its outstanding shares
                           of Common Stock into a larger number of shares of
                           Common Stock, (iii) combine its outstanding shares of
                           Common Stock into a smaller number of shares of
                           Common Stock or (iv) issue any shares of its capital
                           stock or other assets in a reclassification or
                           reorganization of the Common Stock (including any
                           such reclassification in connection with a
                           consolidation or merger in which the Company is the
                           continuing entity), then (x) the securities
                           purchasable pursuant hereto shall be adjusted to the
                           number of Warrant Shares and amount of any other
                           securities, cash or other property of the Company
                           which the Holder would have owned or have been
                           entitled to receive after the happening of any of the
                           events described above, had this Warrant been
                           exercised immediately prior to the happening of such
                           event or any record date with respect thereto, and
                           (y) the Exercise Price shall be adjusted to equal the
                           Exercise Price immediately prior to the adjustment
                           multiplied by a fraction, (A) the numerator of which
                           is the number of Warrant Shares for which this
                           Warrant is exercisable immediately prior to the
                           adjustment, and (B) the denominator of which is the
                           number of shares for which this Warrant is
                           exercisable immediately after such adjustment. The
                           adjustments made pursuant to this Section 4(a) shall
                           become effective immediately after the effective date
                           of the event creating such right of adjustment,
                           retroactive to the record date, if any, for such
                           event. Any Warrant Shares purchasable as a result of
                           such adjustment shall not be issued prior to the
                           effective date of such event.

                           For the purpose of this Section 4(a) and (b), the
                  term "shares of Common Stock" means (i) the classes of stock
                  designated as the Common Stock of the Company as of the date
                  hereof, or (ii) any other class of stock resulting from
                  successive changes or reclassifications of such shares
                  consisting solely of changes in par value, or from par value
                  to no par value, or from no par value to par value. In the
                  event that at any time, as a result of an adjustment made
                  pursuant to this Section 4(a), the Holder shall become
                  entitled to receive any securities of the Company other than
                  shares of Common Stock, thereafter the number of such other
                  securities so receivable upon exercise of this Warrant shall
                  be subject to


                                      - 4 -

<PAGE>   5
                  adjustment from time to time in a manner and on terms as
                  nearly equivalent as practicable to the provisions with
                  respect to the Warrant Shares contained in this Section 4.

                  (b)      Reorganization, Merger, etc.  If any capital
                           reorganization, reclassification or similar
                           transaction involving the capital stock of the
                           Company (other than as specified in Section 4(a)),
                           any consolidation, merger or business combination of
                           the Company with another corporation or the sale or
                           conveyance of all or any substantial part of its
                           assets to another corporation, shall be effected in
                           such a way that holders of the shares of Common Stock
                           shall be entitled to receive stock, securities or
                           assets (including, without limitation, cash) with
                           respect to or in exchange for shares of the Common
                           Stock, then, prior to and as a condition of such
                           reorganization, reclassification, similar
                           transaction, consolidation, merger, business
                           combination, sale or conveyance, lawful and adequate
                           provision shall be made whereby the Holder shall
                           thereafter have the right to purchase and receive
                           upon the basis and upon the terms and conditions
                           specified in this Warrant and in lieu of the Warrant
                           Shares immediately theretofore purchasable and
                           receivable upon the exercise of this Warrant, such
                           shares of stock, securities or assets as may be
                           issued or payable with respect to or in exchange for
                           a number of outstanding Warrant Shares equal to the
                           number of Warrant Shares immediately theretofore
                           purchasable and receivable upon the exercise of this
                           Warrant had such reorganization, reclassification,
                           similar transaction, consolidation, merger, business
                           combination, sale or conveyance not taken place. The
                           Company shall not effect any such consolidation,
                           merger, business combination, sale or conveyance
                           unless prior to or simultaneously with the
                           consummation thereof the survivor or successor
                           corporation (if other than the Company) resulting
                           from such consolidation or merger or the corporation
                           purchasing such assets shall assume by written
                           instrument executed and sent to the Holder, the
                           obligation to deliver to the Holder such shares of
                           stock, securities or assets as, in accordance with
                           the foregoing provisions, the Holder may be entitled
                           to receive.

                  (c)      Statement on Warrant Certificates. Irrespective of
                           any adjustments in the Exercise Price or the number
                           or kind of Warrant Shares, this Warrant may continue
                           to express the same price and number and kind of
                           shares as are stated on the front page hereof.



                                      - 5 -

<PAGE>   6
                  (d)      Exception to Adjustment. Anything herein to the
                           contrary notwithstanding, the Company shall not be
                           required to make any adjustment of the number of
                           Warrant Shares issuable hereunder or to the Exercise
                           Price in the case of the issuance of the Warrants or
                           the issuance of shares of the Common Stock (or other
                           securities) upon exercise of the Warrants.

                  (e)      Treasury Shares. The number of shares of the Common
                           Stock outstanding at any time shall not include
                           treasury shares or shares owned or held by or for the
                           account of the Company or any of its subsidiaries,
                           and the disposition of any such shares shall be
                           considered an issue or sale of the Common Stock for
                           the purposes of this Section 4.

                  (f)      Adjustment Notices to Holder.  Upon any increase or
                           decrease in the number of Warrant Shares purchasable
                           upon the exercise of this Warrant or the Exercise
                           Price the Company shall, within 30 days thereafter,
                           deliver written notice thereof to all Holders, which
                           notice shall state the increased or decreased number
                           of Warrant Shares purchasable upon the exercise of
                           this Warrant and the adjusted Exercise Price, setting
                           forth in reasonable detail the method of calculation
                           and the facts upon which such calculations are based.

           Section 5.      Notification by the Company. In case at any time
while this Warrant remains outstanding:

                  (a)      the Company shall declare any dividend or make any
                           distribution upon its Common Stock or any other class
                           of its capital stock; or

                  (b)      the Company shall offer for subscription pro rata to
                           the holders of its Common Stock or any other class of
                           its capital stock any additional shares of stock of
                           any class or any other securities convertible into or
                           exchangeable for shares of stock or any rights or
                           options to subscribe thereto; or

                  (c)      the Board of Directors of the Company shall authorize
                           any capital reorganization, reclassification or
                           similar transaction involving the capital stock of
                           the Company, or a sale or conveyance of all or a
                           substantial part of the assets of the Company, or a
                           consolidation, merger or business combination of the
                           Company with another Person; or



                                      - 6 -

<PAGE>   7
                  (d)      actions or proceedings shall be authorized or
                           commenced for a voluntary or involuntary dissolution,
                           liquidation or winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

           Section 6.     No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

           Section 7.      Amendment and Waiver.

                  (a)      No failure or delay of the Holder in exercising any
                           power or right hereunder shall operate as a waiver
                           thereof, nor shall any single or partial exercise of
                           such right or power, or any abandonment or
                           discontinuance of steps to enforce such a right or
                           power, preclude any other or further exercise thereof
                           or the exercise of any other right or power. The
                           rights and remedies of the Holder are cumulative and
                           not exclusive of any rights or remedies which it
                           would otherwise have. The provisions of this Warrant
                           may be amended, modified or waived with (and only
                           with) the written consent of the Company and the
                           Required Holders.

                  (b)      No notice or demand on the Company in any case shall
                           entitle the Company to any other or further notice or
                           demand in similar or other circumstances.



                                      - 7 -

<PAGE>   8
           Section 8.     No Fractional Warrant Shares. The Company shall not be
required to issue stock certificates representing fractions of Warrant Shares,
but shall in respect of any fraction of a Warrant Share make a payment in cash
based on the Value of the Common Stock after giving effect to the full exercise
or conversion of the Warrants.

           Section 9.     Reservation of Warrant Shares. The Company shall
authorize, reserve and keep available at all times, free from preemptive rights,
a sufficient number of Warrant Shares to satisfy the requirements of this
Warrant.

           Section 10.    Notices. Unless otherwise specified, whenever this
Warrant requires or permits any consent, approval, notice, request, or demand
from one party to another, that communication must be in writing (which may be
by telecopy) to be effective and is deemed to have been given (a) if by
telecopy, when transmitted to the appropriate telecopy number (and all
communications sent by telecopy must be confirmed promptly by telephone; but any
requirement in this parenthetical does not affect the date when the telecopy is
deemed to have been delivered), or (b) if by any other means, including by
internationally acceptable courier or hand delivery, when actually delivered.
Until changed by notice pursuant to this Warrant, the address (and telecopy
number) for the Holder and the Company are:

     If to Holder:      Joint Energy Development Investments Limited Partnership
                        c/o Enron Corp.
                        1400 Smith Street
                        Houston, Texas  77002
                        Attn:  Donna Lowry - Director, 28th Floor
                        Facsimile: (713) 646-3602

     If to Company:     Queen Sand Resources, Inc.
                        13760 Noel Road, Suite 1030
                        Dallas, Texas 75240-7336
                        Attn:  Robert P. Lindsay
                        Facsimile: (972) 233-9575

     With copies to:    Queen Sand Resources, Inc.
                        30 Metcalfe Street, Suite 620
                        Ottawa, Canada K1P 5L4
                        Attn:  Edward J. Munden
                        Facsimile: (613) 230-6055



                                      - 8 -

<PAGE>   9
                              Haynes and Boone, LLP
                              901 Main Street, Suite 3100
                              Dallas, Texas 75202
                              Attn: William L. Boeing, Esq.
                              Facsimile: (214) 651-5940

           Section 11.    Section and Other Headings. The headings contained in
this Warrant are for reference purposes only and will not affect in any way the
meaning or interpretation of this Warrant.

           Section 12.    Governing Law.  THIS WARRANT SHALL BE GOVERNED BY, AND
CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

           Section 13.    Binding Effect. The terms and provisions of this 
Warrant shall inure to the benefit of the Holder and its successors and assigns
and shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *


                                      - 9 -

<PAGE>   10
         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of December 4, 1998.


                                           QUEEN SAND RESOURCES, INC.


Attest:                                    By:
       --------------------------             -------------------------------- 
         V. Ed Butler                      Name:  Robert P. Lindsay
         Assistant Secretary               Title: Chief Operating Officer and
                                                   Executive Vice President





                                     - 10 -

<PAGE>   11
                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of $__________.


                                   Name of Holder:


                                   --------------------------------------------

                                   Signature:
                                             ----------------------------------
                                   Title:
                                         --------------------------------------
                                   Address:
                                           ------------------------------------

                                   --------------------------------------------

                                   --------------------------------------------



Dated: ____________, _____




                                     - 11 -

<PAGE>   12

                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                   Name of Holder:


                                   --------------------------------------------

                                   Signature:
                                             ----------------------------------
                                   Title:
                                         --------------------------------------
                                   Address:
                                           ------------------------------------

                                   --------------------------------------------

                                   --------------------------------------------



Dated: ____________, _____

In the presence of

- ---------------------------------

                                     NOTICE:
The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.


                                     - 12 -

<PAGE>   1
                                                                   EXHIBIT 4.33

- -------------------------------------------------------------------------------


THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.

- -------------------------------------------------------------------------------


WARRANT TO PURCHASE
   13,335 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 13,335 shares (as such number of shares may be adjusted pursuant to the
terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per share,
of the Company, at a price per share equal to the Exercise Price (as defined
below). This Warrant is issued to the Holder (together with such other warrants
as may be issued in exchange, transfer or replacement of this Warrant, the
"Warrants") pursuant to the Securities Purchase Agreement (as defined below) and
entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.





<PAGE>   2



         Section 1. Definitions. The following terms, as used herein, have the
following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means December 4, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $5.833. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means December 4, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.




                                      - 2 -

<PAGE>   3



         Section 2. Exercise of Warrant; Cancellations of Warrant. This Warrant
may be exercised in whole or in part, at any time or from time to time, during
the Exercise Period, by presentation and surrender hereof to the Company at its
principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3. Exchange, Transfer, Assignment or Loss of Warrant. This
Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.




                                      - 3 -

<PAGE>   4



         Section 4. Antidilution Provisions.

                (a) Adjustment of Number of Warrant Shares and Exercise Price.
                    The number of Warrant Shares purchasable pursuant hereto and
                    the Exercise Price, each shall be subject to adjustment from
                    time to time on and after the Date of Issuance as provided
                    in this Section 4(a). In case the Company shall at any time
                    after the Date of Issuance (i) pay a dividend of shares of
                    Common Stock or make a distribution of shares of Common
                    Stock, (ii) subdivide its outstanding shares of Common Stock
                    into a larger number of shares of Common Stock, (iii)
                    combine its outstanding shares of Common Stock into a
                    smaller number of shares of Common Stock or (iv) issue any
                    shares of its capital stock or other assets in a
                    reclassification or reorganization of the Common Stock
                    (including any such reclassification in connection with a
                    consolidation or merger in which the Company is the
                    continuing entity), then (x) the securities purchasable
                    pursuant hereto shall be adjusted to the number of Warrant
                    Shares and amount of any other securities, cash or other
                    property of the Company which the Holder would have owned or
                    have been entitled to receive after the happening of any of
                    the events described above, had this Warrant been exercised
                    immediately prior to the happening of such event or any
                    record date with respect thereto, and (y) the Exercise Price
                    shall be adjusted to equal the Exercise Price immediately
                    prior to the adjustment multiplied by a fraction, (A) the
                    numerator of which is the number of Warrant Shares for which
                    this Warrant is exercisable immediately prior to the
                    adjustment, and (B) the denominator of which is the number
                    of shares for which this Warrant is exercisable immediately
                    after such adjustment. The adjustments made pursuant to this
                    Section 4(a) shall become effective immediately after the
                    effective date of the event creating such right of
                    adjustment, retroactive to the record date, if any, for such
                    event. Any Warrant Shares purchasable as a result of such
                    adjustment shall not be issued prior to the effective date
                    of such event.

                    For the purpose of this Section 4(a) and (b), the term
                "shares of Common Stock" means (i) the classes of stock
                designated as the Common Stock of the Company as of the date
                hereof, or (ii) any other class of stock resulting from
                successive changes or reclassifications of such shares
                consisting solely of changes in par value, or from par value to
                no par value, or from no par value to par value. In the event
                that at any time, as a result of an adjustment made pursuant to
                this Section 4(a), the Holder shall become entitled to receive
                any securities of the Company other than shares of Common Stock,
                thereafter the number of such other securities so receivable
                upon exercise of this Warrant shall be subject to



                                      - 4 -

<PAGE>   5



                  adjustment from time to time in a manner and on terms as
                  nearly equivalent as practicable to the provisions with
                  respect to the Warrant Shares contained in this Section 4.

                  (b)      Reorganization, Merger, etc. If any capital
                           reorganization, reclassification or similar
                           transaction involving the capital stock of the
                           Company (other than as specified in Section 4(a)),
                           any consolidation, merger or business combination of
                           the Company with another corporation or the sale or
                           conveyance of all or any substantial part of its
                           assets to another corporation, shall be effected in
                           such a way that holders of the shares of Common Stock
                           shall be entitled to receive stock, securities or
                           assets (including, without limitation, cash) with
                           respect to or in exchange for shares of the Common
                           Stock, then, prior to and as a condition of such
                           reorganization, reclassification, similar
                           transaction, consolidation, merger, business
                           combination, sale or conveyance, lawful and adequate
                           provision shall be made whereby the Holder shall
                           thereafter have the right to purchase and receive
                           upon the basis and upon the terms and conditions
                           specified in this Warrant and in lieu of the Warrant
                           Shares immediately theretofore purchasable and
                           receivable upon the exercise of this Warrant, such
                           shares of stock, securities or assets as may be
                           issued or payable with respect to or in exchange for
                           a number of outstanding Warrant Shares equal to the
                           number of Warrant Shares immediately theretofore
                           purchasable and receivable upon the exercise of this
                           Warrant had such reorganization, reclassification,
                           similar transaction, consolidation, merger, business
                           combination, sale or conveyance not taken place. The
                           Company shall not effect any such consolidation,
                           merger, business combination, sale or conveyance
                           unless prior to or simultaneously with the
                           consummation thereof the survivor or successor
                           corporation (if other than the Company) resulting
                           from such consolidation or merger or the corporation
                           purchasing such assets shall assume by written
                           instrument executed and sent to the Holder, the
                           obligation to deliver to the Holder such shares of
                           stock, securities or assets as, in accordance with
                           the foregoing provisions, the Holder may be entitled
                           to receive.

                  (c)      Statement on Warrant Certificates. Irrespective of
                           any adjustments in the Exercise Price or the number
                           or kind of Warrant Shares, this Warrant may continue
                           to express the same price and number and kind of
                           shares as are stated on the front page hereof.




                                      - 5 -

<PAGE>   6



                (d) Exception to Adjustment. Anything herein to the contrary
                    notwithstanding, the Company shall not be required to make
                    any adjustment of the number of Warrant Shares issuable
                    hereunder or to the Exercise Price in the case of the
                    issuance of the Warrants or the issuance of shares of the
                    Common Stock (or other securities) upon exercise of the
                    Warrants.

                (e) Treasury Shares. The number of shares of the Common Stock
                    outstanding at any time shall not include treasury shares or
                    shares owned or held by or for the account of the Company or
                    any of its subsidiaries, and the disposition of any such
                    shares shall be considered an issue or sale of the Common
                    Stock for the purposes of this Section 4.

                (f) Adjustment Notices to Holder. Upon any increase or decrease
                    in the number of Warrant Shares purchasable upon the
                    exercise of this Warrant or the Exercise Price the Company
                    shall, within 30 days thereafter, deliver written notice
                    thereof to all Holders, which notice shall state the
                    increased or decreased number of Warrant Shares purchasable
                    upon the exercise of this Warrant and the adjusted Exercise
                    Price, setting forth in reasonable detail the method of
                    calculation and the facts upon which such calculations are
                    based.

         Section 5. Notification by the Company. In case at any time while this
Warrant remains outstanding:

                (a) the Company shall declare any dividend or make any
                    distribution upon its Common Stock or any other class of its
                    capital stock; or

                (b) the Company shall offer for subscription pro rata to the
                    holders of its Common Stock or any other class of its
                    capital stock any additional shares of stock of any class or
                    any other securities convertible into or exchangeable for
                    shares of stock or any rights or options to subscribe
                    thereto; or

                (c) the Board of Directors of the Company shall authorize any
                    capital reorganization, reclassification or similar
                    transaction involving the capital stock of the Company, or a
                    sale or conveyance of all or a substantial part of the
                    assets of the Company, or a consolidation, merger or
                    business combination of the Company with another Person; or




                                      - 6 -

<PAGE>   7



                (d) actions or proceedings shall be authorized or commenced for
                    a voluntary or involuntary dissolution, liquidation or
                    winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

         Section 6. No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7. Amendment and Waiver.

                (a) No failure or delay of the Holder in exercising any power or
                    right hereunder shall operate as a waiver thereof, nor shall
                    any single or partial exercise of such right or power, or
                    any abandonment or discontinuance of steps to enforce such a
                    right or power, preclude any other or further exercise
                    thereof or the exercise of any other right or power. The
                    rights and remedies of the Holder are cumulative and not
                    exclusive of any rights or remedies which it would otherwise
                    have. The provisions of this Warrant may be amended,
                    modified or waived with (and only with) the written consent
                    of the Company and the Required Holders.

                (b) No notice or demand on the Company in any case shall entitle
                    the Company to any other or further notice or demand in
                    similar or other circumstances.




                                      - 7 -

<PAGE>   8



         Section 8. No Fractional Warrant Shares. The Company shall not be
required to issue stock certificates representing fractions of Warrant Shares,
but shall in respect of any fraction of a Warrant Share make a payment in cash
based on the Value of the Common Stock after giving effect to the full exercise
or conversion of the Warrants.

         Section 9. Reservation of Warrant Shares. The Company shall authorize,
reserve and keep available at all times, free from preemptive rights, a
sufficient number of Warrant Shares to satisfy the requirements of this Warrant.

         Section 10. Notices. Unless otherwise specified, whenever this Warrant
requires or permits any consent, approval, notice, request, or demand from one
party to another, that communication must be in writing (which may be by
telecopy) to be effective and is deemed to have been given (a) if by telecopy,
when transmitted to the appropriate telecopy number (and all communications sent
by telecopy must be confirmed promptly by telephone; but any requirement in this
parenthetical does not affect the date when the telecopy is deemed to have been
delivered), or (b) if by any other means, including by internationally
acceptable courier or hand delivery, when actually delivered. Until changed by
notice pursuant to this Warrant, the address (and telecopy number) for the
Holder and the Company are:

         If to Holder:              Joint Energy Development Investments Limited
                                      Partnership
                                    c/o Enron Corp.
                                    1400 Smith Street
                                    Houston, Texas 77002
                                    Attn: Donna Lowry - Director, 28th Floor
                                    Facsimile: (713) 646-3602

         If to Company:             Queen Sand Resources, Inc.
                                    13760 Noel Road, Suite 1030
                                    Dallas, Texas 75240-7336
                                    Attn:  Robert P. Lindsay
                                    Facsimile: (972) 233-9575

         With copies to:            Queen Sand Resources, Inc.
                                    30 Metcalfe Street, Suite 620
                                    Ottawa, Canada K1P 5L4
                                    Attn:  Edward J. Munden
                                    Facsimile: (613) 230-6055




                                      - 8 -

<PAGE>   9



                                    Haynes and Boone, LLP
                                    901 Main Street, Suite 3100
                                    Dallas, Texas  75202
                                    Attn:  William L. Boeing, Esq.
                                    Facsimile:  (214) 651-5940

         Section 11. Section and Other Headings. The headings contained in this
Warrant are for reference purposes only and will not affect in any way the
meaning or interpretation of this Warrant.

         Section 12. Governing Law. THIS WARRANT SHALL BE GOVERNED BY, AND
CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

         Section 13. Binding Effect. The terms and provisions of this Warrant
shall inure to the benefit of the Holder and its successors and assigns and
shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *



                                      - 9 -

<PAGE>   10



         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of December 4, 1998.


                                        QUEEN SAND RESOURCES, INC.


Attest:                                 By:
       -------------------------           ------------------------------------
       V. Ed Butler                     Name:   Robert P. Lindsay
       Assistant Secretary              Title:  Chief Operating Officer and
                                                Executive Vice President






                                     - 10 -

<PAGE>   11



                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of $__________.


                                        Name of Holder:


                                        ---------------------------------------

                                        Signature:
                                                  -----------------------------
                                        Title:
                                              ---------------------------------
                                        Address:
                                                -------------------------------


Dated: ____________, _____





                                     - 11 -

<PAGE>   12


                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                        Name of Holder:


                                        ---------------------------------------


                                        Signature:
                                                  -----------------------------
                                        Title:
                                              ---------------------------------
                                        Address:
                                                -------------------------------


Dated: _____________, ____

In the presence of

- --------------------------

                                     NOTICE:
The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.



                                     - 12 -





<PAGE>   1


                                                                    EXHIBIT 4.34

- --------------------------------------------------------------------------------

THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.

- --------------------------------------------------------------------------------

WARRANT TO PURCHASE
   8,180 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 8,180 shares (as such number of shares may be adjusted pursuant to the
terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per share,
of the Company, at a price per share equal to the Exercise Price (as defined
below). This Warrant is issued to the Holder (together with such other warrants
as may be issued in exchange, transfer or replacement of this Warrant, the
"Warrants") pursuant to the Securities Purchase Agreement (as defined below) and
entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.



<PAGE>   2


         Section 1. Definitions. The following terms, as used herein, have the
following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means December 2, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $5.500. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means December 2, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.

                                      - 2 -

<PAGE>   3


         Section 2. Exercise of Warrant; Cancellations of Warrant. This Warrant
may be exercised in whole or in part, at any time or from time to time, during
the Exercise Period, by presentation and surrender hereof to the Company at its
principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3. Exchange, Transfer, Assignment or Loss of Warrant. This
Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.

                                      - 3 -

<PAGE>   4


         Section 4. Antidilution Provisions.

                (a) Adjustment of Number of Warrant Shares and Exercise Price.
                    The number of Warrant Shares purchasable pursuant hereto and
                    the Exercise Price, each shall be subject to adjustment from
                    time to time on and after the Date of Issuance as provided
                    in this Section 4(a). In case the Company shall at any time
                    after the Date of Issuance (i) pay a dividend of shares of
                    Common Stock or make a distribution of shares of Common
                    Stock, (ii) subdivide its outstanding shares of Common Stock
                    into a larger number of shares of Common Stock, (iii)
                    combine its outstanding shares of Common Stock into a
                    smaller number of shares of Common Stock or (iv) issue any
                    shares of its capital stock or other assets in a
                    reclassification or reorganization of the Common Stock
                    (including any such reclassification in connection with a
                    consolidation or merger in which the Company is the
                    continuing entity), then (x) the securities purchasable
                    pursuant hereto shall be adjusted to the number of Warrant
                    Shares and amount of any other securities, cash or other
                    property of the Company which the Holder would have owned or
                    have been entitled to receive after the happening of any of
                    the events described above, had this Warrant been exercised
                    immediately prior to the happening of such event or any
                    record date with respect thereto, and (y) the Exercise Price
                    shall be adjusted to equal the Exercise Price immediately
                    prior to the adjustment multiplied by a fraction, (A) the
                    numerator of which is the number of Warrant Shares for which
                    this Warrant is exercisable immediately prior to the
                    adjustment, and (B) the denominator of which is the number
                    of shares for which this Warrant is exercisable immediately
                    after such adjustment. The adjustments made pursuant to this
                    Section 4(a) shall become effective immediately after the
                    effective date of the event creating such right of
                    adjustment, retroactive to the record date, if any, for such
                    event. Any Warrant Shares purchasable as a result of such
                    adjustment shall not be issued prior to the effective date
                    of such event.

                    For the purpose of this Section 4(a) and (b), the term
                "shares of Common Stock" means (i) the classes of stock
                designated as the Common Stock of the Company as of the date
                hereof, or (ii) any other class of stock resulting from
                successive changes or reclassifications of such shares
                consisting solely of changes in par value, or from par value to
                no par value, or from no par value to par value. In the event
                that at any time, as a result of an adjustment made pursuant to
                this Section 4(a), the Holder shall become entitled to receive
                any securities of the Company other than shares of Common Stock,
                thereafter the number of such other securities so receivable
                upon exercise of this Warrant shall be subject to

                                      - 4 -

<PAGE>   5


                adjustment from time to time in a manner and on terms as nearly
                equivalent as practicable to the provisions with respect to the
                Warrant Shares contained in this Section 4.

                (b) Reorganization, Merger, etc. If any capital reorganization,
                    reclassification or similar transaction involving the
                    capital stock of the Company (other than as specified in
                    Section 4(a)), any consolidation, merger or business
                    combination of the Company with another corporation or the
                    sale or conveyance of all or any substantial part of its
                    assets to another corporation, shall be effected in such a
                    way that holders of the shares of Common Stock shall be
                    entitled to receive stock, securities or assets (including,
                    without limitation, cash) with respect to or in exchange for
                    shares of the Common Stock, then, prior to and as a
                    condition of such reorganization, reclassification, similar
                    transaction, consolidation, merger, business combination,
                    sale or conveyance, lawful and adequate provision shall be
                    made whereby the Holder shall thereafter have the right to
                    purchase and receive upon the basis and upon the terms and
                    conditions specified in this Warrant and in lieu of the
                    Warrant Shares immediately theretofore purchasable and
                    receivable upon the exercise of this Warrant, such shares of
                    stock, securities or assets as may be issued or payable with
                    respect to or in exchange for a number of outstanding
                    Warrant Shares equal to the number of Warrant Shares
                    immediately theretofore purchasable and receivable upon the
                    exercise of this Warrant had such reorganization,
                    reclassification, similar transaction, consolidation,
                    merger, business combination, sale or conveyance not taken
                    place. The Company shall not effect any such consolidation,
                    merger, business combination, sale or conveyance unless
                    prior to or simultaneously with the consummation thereof the
                    survivor or successor corporation (if other than the
                    Company) resulting from such consolidation or merger or the
                    corporation purchasing such assets shall assume by written
                    instrument executed and sent to the Holder, the obligation
                    to deliver to the Holder such shares of stock, securities or
                    assets as, in accordance with the foregoing provisions, the
                    Holder may be entitled to receive.

                (c) Statement on Warrant Certificates. Irrespective of any
                    adjustments in the Exercise Price or the number or kind of
                    Warrant Shares, this Warrant may continue to express the
                    same price and number and kind of shares as are stated on
                    the front page hereof.

                                      - 5 -

<PAGE>   6


                (d) Exception to Adjustment. Anything herein to the contrary
                    notwithstanding, the Company shall not be required to make
                    any adjustment of the number of Warrant Shares issuable
                    hereunder or to the Exercise Price in the case of the
                    issuance of the Warrants or the issuance of shares of the
                    Common Stock (or other securities) upon exercise of the
                    Warrants.

                (e) Treasury Shares. The number of shares of the Common Stock
                    outstanding at any time shall not include treasury shares or
                    shares owned or held by or for the account of the Company or
                    any of its subsidiaries, and the disposition of any such
                    shares shall be considered an issue or sale of the Common
                    Stock for the purposes of this Section 4.

                (f) Adjustment Notices to Holder. Upon any increase or decrease
                    in the number of Warrant Shares purchasable upon the
                    exercise of this Warrant or the Exercise Price the Company
                    shall, within 30 days thereafter, deliver written notice
                    thereof to all Holders, which notice shall state the
                    increased or decreased number of Warrant Shares purchasable
                    upon the exercise of this Warrant and the adjusted Exercise
                    Price, setting forth in reasonable detail the method of
                    calculation and the facts upon which such calculations are
                    based.

         Section 5. Notification by the Company. In case at any time while this
Warrant remains outstanding:

                (a) the Company shall declare any dividend or make any
                    distribution upon its Common Stock or any other class of its
                    capital stock; or

                (b) the Company shall offer for subscription pro rata to the
                    holders of its Common Stock or any other class of its
                    capital stock any additional shares of stock of any class or
                    any other securities convertible into or exchangeable for
                    shares of stock or any rights or options to subscribe
                    thereto; or

                (c) the Board of Directors of the Company shall authorize any
                    capital reorganization, reclassification or similar
                    transaction involving the capital stock of the Company, or a
                    sale or conveyance of all or a substantial part of the
                    assets of the Company, or a consolidation, merger or
                    business combination of the Company with another Person; or

                                      - 6 -

<PAGE>   7




                (d) actions or proceedings shall be authorized or commenced for
                    a voluntary or involuntary dissolution, liquidation or
                    winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

         Section 6. No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7. Amendment and Waiver.

                (a) No failure or delay of the Holder in exercising any power or
                    right hereunder shall operate as a waiver thereof, nor shall
                    any single or partial exercise of such right or power, or
                    any abandonment or discontinuance of steps to enforce such a
                    right or power, preclude any other or further exercise
                    thereof or the exercise of any other right or power. The
                    rights and remedies of the Holder are cumulative and not
                    exclusive of any rights or remedies which it would otherwise
                    have. The provisions of this Warrant may be amended,
                    modified or waived with (and only with) the written consent
                    of the Company and the Required Holders.

                (b) No notice or demand on the Company in any case shall entitle
                    the Company to any other or further notice or demand in
                    similar or other circumstances.

                                      - 7 -

<PAGE>   8


         Section 8. No Fractional Warrant Shares. The Company shall not be
required to issue stock certificates representing fractions of Warrant Shares,
but shall in respect of any fraction of a Warrant Share make a payment in cash
based on the Value of the Common Stock after giving effect to the full exercise
or conversion of the Warrants.

         Section 9. Reservation of Warrant Shares. The Company shall authorize,
reserve and keep available at all times, free from preemptive rights, a
sufficient number of Warrant Shares to satisfy the requirements of this Warrant.

         Section 10. Notices. Unless otherwise specified, whenever this Warrant
requires or permits any consent, approval, notice, request, or demand from one
party to another, that communication must be in writing (which may be by
telecopy) to be effective and is deemed to have been given (a) if by telecopy,
when transmitted to the appropriate telecopy number (and all communications sent
by telecopy must be confirmed promptly by telephone; but any requirement in this
parenthetical does not affect the date when the telecopy is deemed to have been
delivered), or (b) if by any other means, including by internationally
acceptable courier or hand delivery, when actually delivered. Until changed by
notice pursuant to this Warrant, the address (and telecopy number) for the
Holder and the Company are:

         If to Holder:    Joint Energy Development Investments
                            Limited Partnership
                          c/o Enron Corp.
                          1400 Smith Street
                          Houston, Texas  77002
                          Attn:  Donna Lowry - Director, 28th Floor
                          Facsimile: (713) 646-3602

         If to Company:   Queen Sand Resources, Inc.
                          13760 Noel Road, Suite 1030
                          Dallas, Texas 75240-7336
                          Attn:  Robert P. Lindsay
                          Facsimile: (972) 233-9575

         With copies to:  Queen Sand Resources, Inc.
                          30 Metcalfe Street, Suite 620
                          Ottawa, Canada K1P 5L4
                          Attn:  Edward J. Munden
                          Facsimile: (613) 230-6055

                                      - 8 -

<PAGE>   9


                          Haynes and Boone, LLP
                          901 Main Street, Suite 3100
                          Dallas, Texas  75202
                          Attn:  William L. Boeing, Esq.
                          Facsimile:  (214) 651-5940

         Section 11. Section and Other Headings. The headings contained in this
Warrant are for reference purposes only and will not affect in any way the
meaning or interpretation of this Warrant.

         Section 12. Governing Law. THIS WARRANT SHALL BE GOVERNED BY, AND
CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

         Section 13. Binding Effect. The terms and provisions of this Warrant
shall inure to the benefit of the Holder and its successors and assigns and
shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *

                                      - 9 -

<PAGE>   10


         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of December 2, 1998.


                                       QUEEN SAND RESOURCES, INC.


Attest:                                By:
       ----------------------------       ---------------------------------
       V. Ed Butler                    Name:  Robert P. Lindsay
       Assistant Secretary             Title: Chief Operating Officer and
                                               Executive Vice President

                                     - 10 -

<PAGE>   11


                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of $__________.


                                       Name of Holder:



                                       ------------------------------------
                                       Signature:
                                                 --------------------------
                                       Title:
                                             ------------------------------
                                       Address:
                                               ----------------------------

                                       ------------------------------------

                                       ------------------------------------

Dated: ____________, _____

                                     - 11 -

<PAGE>   12



                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                       Name of Holder:



                                       ------------------------------------
                                       Signature:
                                                 --------------------------
                                       Title:
                                             ------------------------------
                                       Address:
                                               ----------------------------

                                       ------------------------------------

                                       ------------------------------------

Dated: ____________, _____

In the presence of

- ---------------------------------------

                                     NOTICE:
The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.

                                     - 12 -

<PAGE>   1
                                                                    EXHIBIT 4.35

- --------------------------------------------------------------------------------

THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.

- --------------------------------------------------------------------------------

WARRANT TO PURCHASE
 21,331 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 21,331 shares (as such number of shares may be adjusted pursuant to the
terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per share,
of the Company, at a price per share equal to the Exercise Price (as defined
below). This Warrant is issued to the Holder (together with such other warrants
as may be issued in exchange, transfer or replacement of this Warrant, the
"Warrants") pursuant to the Securities Purchase Agreement (as defined below) and
entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.



<PAGE>   2
         Section 1.   Definitions.  The following terms, as used herein, have
the following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means December 2, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $5.833. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means December 2, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this 
Warrant.



                                      - 2 -

<PAGE>   3
         Section 2.   Exercise of Warrant; Cancellations of Warrant. This 
Warrant may be exercised in whole or in part, at any time or from time to time,
during the Exercise Period, by presentation and surrender hereof to the Company
at its principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3.   Exchange, Transfer, Assignment or Loss of Warrant. This
Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.



                                      - 3 -

<PAGE>   4
         Section 4.        Antidilution Provisions.

                (a)        Adjustment of Number of Warrant Shares and Exercise
                           Price. The number of Warrant Shares purchasable
                           pursuant hereto and the Exercise Price, each shall be
                           subject to adjustment from time to time on and after
                           the Date of Issuance as provided in this Section
                           4(a). In case the Company shall at any time after the
                           Date of Issuance (i) pay a dividend of shares of
                           Common Stock or make a distribution of shares of
                           Common Stock, (ii) subdivide its outstanding shares
                           of Common Stock into a larger number of shares of
                           Common Stock, (iii) combine its outstanding shares of
                           Common Stock into a smaller number of shares of
                           Common Stock or (iv) issue any shares of its capital
                           stock or other assets in a reclassification or
                           reorganization of the Common Stock (including any
                           such reclassification in connection with a
                           consolidation or merger in which the Company is the
                           continuing entity), then (x) the securities
                           purchasable pursuant hereto shall be adjusted to the
                           number of Warrant Shares and amount of any other
                           securities, cash or other property of the Company
                           which the Holder would have owned or have been
                           entitled to receive after the happening of any of the
                           events described above, had this Warrant been
                           exercised immediately prior to the happening of such
                           event or any record date with respect thereto, and
                           (y) the Exercise Price shall be adjusted to equal the
                           Exercise Price immediately prior to the adjustment
                           multiplied by a fraction, (A) the numerator of which
                           is the number of Warrant Shares for which this
                           Warrant is exercisable immediately prior to the
                           adjustment, and (B) the denominator of which is the
                           number of shares for which this Warrant is
                           exercisable immediately after such adjustment. The
                           adjustments made pursuant to this Section 4(a) shall
                           become effective ----------- immediately after the
                           effective date of the event creating such right of
                           adjustment, retroactive to the record date, if any,
                           for such event. Any Warrant Shares purchasable as a
                           result of such adjustment shall not be issued prior
                           to the effective date of such event.

                           For the purpose of this Section 4(a) and (b), the
                  term "shares of Common Stock" means (i) the classes of stock
                  designated as the Common Stock of the Company as of the date
                  hereof, or (ii) any other class of stock resulting from
                  successive changes or reclassifications of such shares
                  consisting solely of changes in par value, or from par value
                  to no par value, or from no par value to par value. In the
                  event that at any time, as a result of an adjustment made
                  pursuant to this Section 4(a), the Holder shall become
                  entitled to receive any securities of the Company other than
                  shares of Common Stock, thereafter the number of such other
                  securities so receivable upon exercise of this Warrant shall
                  be subject to


                                      - 4 -

<PAGE>   5
                  adjustment from time to time in a manner and on terms as
                  nearly equivalent as practicable to the provisions with
                  respect to the Warrant Shares contained in this Section 4.

                  (b)      Reorganization, Merger, etc. If any capital
                           reorganization, reclassification or similar
                           transaction involving the capital stock of the
                           Company (other than as specified in Section 4(a)),
                           any consolidation, merger or business combination of
                           the Company with another corporation or the sale or
                           conveyance of all or any substantial part of its
                           assets to another corporation, shall be effected in
                           such a way that holders of the shares of Common Stock
                           shall be entitled to receive stock, securities or
                           assets (including, without limitation, cash) with
                           respect to or in exchange for shares of the Common
                           Stock, then, prior to and as a condition of such
                           reorganization, reclassification, similar
                           transaction, consolidation, merger, business
                           combination, sale or conveyance, lawful and adequate
                           provision shall be made whereby the Holder shall
                           thereafter have the right to purchase and receive
                           upon the basis and upon the terms and conditions
                           specified in this Warrant and in lieu of the Warrant
                           Shares immediately theretofore purchasable and
                           receivable upon the exercise of this Warrant, such
                           shares of stock, securities or assets as may be
                           issued or payable with respect to or in exchange for
                           a number of outstanding Warrant Shares equal to the
                           number of Warrant Shares immediately theretofore
                           purchasable and receivable upon the exercise of this
                           Warrant had such reorganization, reclassification,
                           similar transaction, consolidation, merger, business
                           combination, sale or conveyance not taken place. The
                           Company shall not effect any such consolidation,
                           merger, business combination, sale or conveyance
                           unless prior to or simultaneously with the
                           consummation thereof the survivor or successor
                           corporation (if other than the Company) resulting
                           from such consolidation or merger or the corporation
                           purchasing such assets shall assume by written
                           instrument executed and sent to the Holder, the
                           obligation to deliver to the Holder such shares of
                           stock, securities or assets as, in accordance with
                           the foregoing provisions, the Holder may be entitled
                           to receive.

                  (c)      Statement on Warrant Certificates. Irrespective of
                           any adjustments in the Exercise Price or the number
                           or kind of Warrant Shares, this Warrant may continue
                           to express the same price and number and kind of
                           shares as are stated on the front page hereof.



                                      - 5 -

<PAGE>   6
                  (d)      Exception to Adjustment. Anything herein to the
                           contrary notwithstanding, the Company shall not be
                           required to make any adjustment of the number of
                           Warrant Shares issuable hereunder or to the Exercise
                           Price in the case of the issuance of the Warrants or
                           the issuance of shares of the Common Stock (or other
                           securities) upon exercise of the Warrants.

                  (e)      Treasury Shares. The number of shares of the Common
                           Stock outstanding at any time shall not include
                           treasury shares or shares owned or held by or for the
                           account of the Company or any of its subsidiaries,
                           and the disposition of any such shares shall be
                           considered an issue or sale of the Common Stock for
                           the purposes of this Section 4.

                  (f)      Adjustment Notices to Holder. Upon any increase or 
                           decrease in the number of Warrant Shares purchasable
                           upon the exercise of this Warrant or the Exercise
                           Price the Company shall, within 30 days thereafter,
                           deliver written notice thereof to all Holders, which
                           notice shall state the increased or decreased number
                           of Warrant Shares purchasable upon the exercise of
                           this Warrant and the adjusted Exercise Price, setting
                           forth in reasonable detail the method of calculation
                           and the facts upon which such calculations are based.

           Section 5.      Notification by the Company. In case at any time
while this Warrant remains outstanding:

                  (a)      the Company shall declare any dividend or make any
                           distribution upon its Common Stock or any other class
                           of its capital stock; or

                  (b)      the Company shall offer for subscription pro rata to
                           the holders of its Common Stock or any other class of
                           its capital stock any additional shares of stock of
                           any class or any other securities convertible into or
                           exchangeable for shares of stock or any rights or
                           options to subscribe thereto; or

                  (c)      the Board of Directors of the Company shall authorize
                           any capital reorganization, reclassification or
                           similar transaction involving the capital stock of
                           the Company, or a sale or conveyance of all or a
                           substantial part of the assets of the Company, or a
                           consolidation, merger or business combination of the
                           Company with another Person; or



                                      - 6 -

<PAGE>   7
                  (d)      actions or proceedings shall be authorized or
                           commenced for a voluntary or involuntary dissolution,
                           liquidation or winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

            Section 6.     No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

            Section 7.     Amendment and Waiver.

                  (a)      No failure or delay of the Holder in exercising any
                           power or right hereunder shall operate as a waiver
                           thereof, nor shall any single or partial exercise of
                           such right or power, or any abandonment or
                           discontinuance of steps to enforce such a right or
                           power, preclude any other or further exercise thereof
                           or the exercise of any other right or power. The
                           rights and remedies of the Holder are cumulative and
                           not exclusive of any rights or remedies which it
                           would otherwise have. The provisions of this Warrant
                           may be amended, modified or waived with (and only
                           with) the written consent of the Company and the
                           Required Holders.

                  (b)      No notice or demand on the Company in any case shall
                           entitle the Company to any other or further notice or
                           demand in similar or other circumstances.



                                      - 7 -

<PAGE>   8

            Section 8.     No Fractional Warrant Shares. The Company shall not
be required to issue stock certificates representing fractions of Warrant
Shares, but shall in respect of any fraction of a Warrant Share make a payment
in cash based on the Value of the Common Stock after giving effect to the full
exercise or conversion of the Warrants.

            Section 9.     Reservation of Warrant Shares. The Company shall
authorize, reserve and keep available at all times, free from preemptive rights,
a sufficient number of Warrant Shares to satisfy the requirements of this
Warrant.

            Section 10.    Notices. Unless otherwise specified, whenever this 
Warrant requires or permits any consent, approval, notice, request, or demand
from one party to another, that communication must be in writing (which may be
by telecopy) to be effective and is deemed to have been given (a) if by
telecopy, when transmitted to the appropriate telecopy number (and all
communications sent by telecopy must be confirmed promptly by telephone; but any
requirement in this parenthetical does not affect the date when the telecopy is
deemed to have been delivered), or (b) if by any other means, including by
internationally acceptable courier or hand delivery, when actually delivered.
Until changed by notice pursuant to this Warrant, the address (and telecopy
number) for the Holder and the Company are:

      If to Holder:    Joint Energy Development Investments Limited Partnership
                       c/o Enron Corp.
                       1400 Smith Street
                       Houston, Texas  77002
                       Attn:  Donna Lowry - Director, 28th Floor
                       Facsimile: (713) 646-3602

      If to Company:   Queen Sand Resources, Inc.
                       13760 Noel Road, Suite 1030
                       Dallas, Texas 75240-7336
                       Attn:  Robert P. Lindsay
                       Facsimile: (972) 233-9575

      With copies to:  Queen Sand Resources, Inc.
                       30 Metcalfe Street, Suite 620
                       Ottawa, Canada K1P 5L4
                       Attn:  Edward J. Munden
                       Facsimile: (613) 230-6055



                                      - 8 -

<PAGE>   9
                       Haynes and Boone, LLP
                       901 Main Street, Suite 3100
                       Dallas, Texas  75202
                       Attn:  William L. Boeing, Esq.
                       Facsimile:  (214) 651-5940

            Section 11.    Section and Other Headings. The headings contained 
in this Warrant are for reference purposes only and will not affect in any way
the meaning or interpretation of this Warrant.

            Section 12.    Governing Law.  THIS WARRANT SHALL BE GOVERNED BY,
AND CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

            Section 13.    Binding Effect. The terms and provisions of this
Warrant shall inure to the benefit of the Holder and its successors and assigns
and shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *


                                      - 9 -

<PAGE>   10
         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of December 2, 1998.


                                             QUEEN SAND RESOURCES, INC.


Attest:                                      By:
       ------------------------------           -------------------------------
         V. Ed Butler                        Name:  Robert P. Lindsay
         Assistant Secretary                 Title: Chief Operating Officer and
                                                      Executive Vice President





                                     - 10 -

<PAGE>   11
                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of $__________.


                                    Name of Holder:


                                    -------------------------------------------

                                    Signature:
                                              ---------------------------------
                                    Title:
                                          -------------------------------------
                                    Address:
                                            -----------------------------------
                                    -------------------------------------------
                                    -------------------------------------------



Dated: ____________, _____




                                     - 11 -

<PAGE>   12
                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                    Name of Holder:


                                    -------------------------------------------

                                    Signature:
                                              ---------------------------------
                                    Title:
                                          -------------------------------------
                                    Address:
                                            -----------------------------------
                                    -------------------------------------------
                                    -------------------------------------------



Dated: ____________, _____

In the presence of

- -----------------------------------

                                     NOTICE:
The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.



                                     - 12 -

<PAGE>   1
                                                                    EXHIBIT 4.36

- -------------------------------------------------------------------------------

THE WARRANTS REPRESENTED BY THIS CERTIFICATE AND THE SHARES OF COMMON STOCK
ISSUABLE UPON EXERCISE THEREOF HAVE NOT BEEN REGISTERED UNDER THE SECURITIES ACT
OF 1933, AS AMENDED (THE "ACT"), OR ANY STATE SECURITIES OR BLUE SKY LAWS AND
MAY NOT BE SOLD, PLEDGED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE ACT OR IN RELIANCE ON AN OPINION,
REASONABLY SATISFACTORY TO QUEEN SAND RESOURCES, INC. IN FORM AND SUBSTANCE, OF
COUNSEL REASONABLY ACCEPTABLE TO THE COMPANY, THAT SUCH SALE, PLEDGE OR OTHER
TRANSFER IS BEING MADE IN RELIANCE ON AN EXEMPTION FROM THE ACT AND ANY
APPLICABLE STATE SECURITIES OR BLUE SKY LAWS.

- -------------------------------------------------------------------------------


WARRANT TO PURCHASE
   18,372 SHARES

                           QUEEN SAND RESOURCES, INC.

                          Common Stock Purchase Warrant

                    Representing Right To Purchase Shares of
                                  Common Stock
                                       of
                           Queen Sand Resources, Inc.



         FOR VALUE RECEIVED, QUEEN SAND RESOURCES, INC., a Delaware corporation
(the "Company"), hereby certifies that Joint Energy Development Investments
Limited Partnership, a Delaware limited partnership (the "Holder"), is entitled,
subject to the provisions of this Warrant, to purchase from the Company, at any
time or from time to time during the Exercise Period (as hereinafter defined), a
total of 18,372 shares (as such number of shares may be adjusted pursuant to the
terms hereof, the "Warrant Shares") of Common Stock, par value $.0015 per share,
of the Company, at a price per share equal to the Exercise Price (as defined
below). This Warrant is issued to the Holder (together with such other warrants
as may be issued in exchange, transfer or replacement of this Warrant, the
"Warrants") pursuant to the Securities Purchase Agreement (as defined below) and
entitles the Holder to purchase the Warrant Shares and to exercise the other
rights, powers and privileges hereinafter provided.





<PAGE>   2



         Section 1. Definitions. The following terms, as used herein, have the
following respective meanings:

         "Common Stock" means the Company's common stock, $0.0015 par value.

         "Company" is defined in the introductory paragraph of this Warrant.

         "Date of Issuance" means November 30, 1998.

         "Exercise Period" means the period of time between the Date of Issuance
and 5:00 p.m. (New York City time) on the Expiration Date.

         "Exercise Price" means an amount, per share, equal to $5.500. The
Exercise Price shall be subject to adjustment, as set forth in Section 4.

         "Expiration Date" means November 30, 1999.

         "Holder" means Joint Energy Development Investments Limited Partnership
and its permitted assignees.

         "Person" means any individual, corporation, limited or general
partnership, joint venture, association, joint-stock company, trust, limited
liability company, unincorporated organization or government or any agency or
political subdivision thereof.

         "Required Holders" means the Holders of more than 50% of all Warrant
Shares then outstanding (assuming the full exercise of all Warrants).

         "Securities Purchase Agreement" means the Securities Purchase
Agreement, dated as of March 27, 1997, between the Company and the Holder, as
such agreement shall be modified, amended and supplemented and in effect from
time to time.

         "Value" means, as of any date of determination, with respect to the
Common Stock, $3.50 per share of Common Stock.

         "Warrants" is defined in the introductory paragraph of this Warrant.

         "Warrant Shares" is defined in the introductory paragraph of this
Warrant.



 
                                      - 2 -

<PAGE>   3



         Section 2. Exercise of Warrant; Cancellations of Warrant. This Warrant
may be exercised in whole or in part, at any time or from time to time, during
the Exercise Period, by presentation and surrender hereof to the Company at its
principal office at the address set forth in Section 10 (or at such other
reasonable address as the Company may after the date hereof notify the Holder in
writing, coming into effect not before 14 days after receipt of such notice by
the Holder), with the Purchase Form annexed hereto as Exhibit A duly executed
and accompanied by either (at the option of the Holder) proper payment in cash
or certified or bank check equal to the Exercise Price for the Warrant Shares
for which this Warrant is being exercised. Upon exercise of this Warrant as
aforesaid, the Company shall as promptly as practicable, and in any event within
20 days thereafter, execute and deliver to the Holder a certificate or
certificates for the total number of Warrant Shares for which this Warrant is
being exercised, in such names and denominations as requested in writing by the
Holder. The Company shall pay any and all documentary stamp or similar issue
taxes payable in respect of the issue of the Warrant Shares. If this Warrant is
exercised in part only, the Company shall, upon surrender of this Warrant,
execute and deliver a new Warrant evidencing the rights of the Holder thereof to
purchase the balance of the Warrant Shares issuable hereunder.

         Section 3. Exchange, Transfer, Assignment or Loss of Warrant. This
Warrant is exchangeable, without expense, at the option of the Holder, upon
presentation and surrender hereof to the Company for other Warrants of different
denominations, entitling the Holder to purchase in the aggregate the same number
of Warrant Shares. The Holder of this Warrant shall be entitled, without
obtaining the consent of the Company, to transfer or assign its interest in (and
rights under) this Warrant in whole or in part to any Person or Persons. Upon
surrender of this Warrant to the Company, with the Assignment Form annexed
hereto as Exhibit B duly executed and funds sufficient to pay any transfer tax,
the Company shall, without charge, execute and deliver a new Warrant or Warrants
in the name of the assignee or assignees named in such Assignment Form and, if
the Holder's entire interest is not being assigned, in the name of the Holder,
and this Warrant shall promptly be canceled. This Warrant may be divided or
combined with other Warrants that carry the same rights upon presentation hereof
at the office of the Company, together with a written notice specifying the
names and denominations in which new Warrants are to be issued and signed by the
Holder hereof. Upon receipt by the Company of evidence satisfactory to it of the
loss, theft, destruction or mutilation of this Warrant, and (in the case of
loss, theft or destruction) of reasonably satisfactory indemnification
(including, if required in the reasonable judgment of the Company, a statement
of net worth of such Holder that is at a level reasonably satisfactory to the
Company), and upon surrender and cancellation of this Warrant, if mutilated, the
Company shall execute and deliver a new Warrant of like tenor and date.



 
                                      - 3 -

<PAGE>   4



         Section 4. Antidilution Provisions.

                (a) Adjustment of Number of Warrant Shares and Exercise Price.
                    The number of Warrant Shares purchasable pursuant hereto and
                    the Exercise Price, each shall be subject to adjustment from
                    time to time on and after the Date of Issuance as provided
                    in this Section 4(a). In case the Company shall at any time
                    after the Date of Issuance (i) pay a dividend of shares of
                    Common Stock or make a distribution of shares of Common
                    Stock, (ii) subdivide its outstanding shares of Common Stock
                    into a larger number of shares of Common Stock, (iii)
                    combine its outstanding shares of Common Stock into a
                    smaller number of shares of Common Stock or (iv) issue any
                    shares of its capital stock or other assets in a
                    reclassification or reorganization of the Common Stock
                    (including any such reclassification in connection with a
                    consolidation or merger in which the Company is the
                    continuing entity), then (x) the securities purchasable
                    pursuant hereto shall be adjusted to the number of Warrant
                    Shares and amount of any other securities, cash or other
                    property of the Company which the Holder would have owned or
                    have been entitled to receive after the happening of any of
                    the events described above, had this Warrant been exercised
                    immediately prior to the happening of such event or any
                    record date with respect thereto, and (y) the Exercise Price
                    shall be adjusted to equal the Exercise Price immediately
                    prior to the adjustment multiplied by a fraction, (A) the
                    numerator of which is the number of Warrant Shares for which
                    this Warrant is exercisable immediately prior to the
                    adjustment, and (B) the denominator of which is the number
                    of shares for which this Warrant is exercisable immediately
                    after such adjustment. The adjustments made pursuant to this
                    Section 4(a) shall become effective immediately after the
                    effective date of the event creating such right of
                    adjustment, retroactive to the record date, if any, for such
                    event. Any Warrant Shares purchasable as a result of such
                    adjustment shall not be issued prior to the effective date
                    of such event.

                    For the purpose of this Section 4(a) and (b), the term
                "shares of Common Stock" means (i) the classes of stock
                designated as the Common Stock of the Company as of the date
                hereof, or (ii) any other class of stock resulting from
                successive changes or reclassifications of such shares
                consisting solely of changes in par value, or from par value to
                no par value, or from no par value to par value. In the event
                that at any time, as a result of an adjustment made pursuant to
                this Section 4(a), the Holder shall become entitled to receive
                any securities of the Company other than shares of Common Stock,
                thereafter the number of such other securities so receivable
                upon exercise of this Warrant shall be subject to


 
                                      - 4 -

<PAGE>   5



                adjustment from time to time in a manner and on terms as nearly
                equivalent as practicable to the provisions with respect to the
                Warrant Shares contained in this Section 4.

                (b) Reorganization, Merger, etc. If any capital reorganization,
                    reclassification or similar transaction involving the
                    capital stock of the Company (other than as specified in
                    Section 4(a)), any consolidation, merger or business
                    combination of the Company with another corporation or the
                    sale or conveyance of all or any substantial part of its
                    assets to another corporation, shall be effected in such a
                    way that holders of the shares of Common Stock shall be
                    entitled to receive stock, securities or assets (including,
                    without limitation, cash) with respect to or in exchange for
                    shares of the Common Stock, then, prior to and as a
                    condition of such reorganization, reclassification, similar
                    transaction, consolidation, merger, business combination,
                    sale or conveyance, lawful and adequate provision shall be
                    made whereby the Holder shall thereafter have the right to
                    purchase and receive upon the basis and upon the terms and
                    conditions specified in this Warrant and in lieu of the
                    Warrant Shares immediately theretofore purchasable and
                    receivable upon the exercise of this Warrant, such shares of
                    stock, securities or assets as may be issued or payable with
                    respect to or in exchange for a number of outstanding
                    Warrant Shares equal to the number of Warrant Shares
                    immediately theretofore purchasable and receivable upon the
                    exercise of this Warrant had such reorganization,
                    reclassification, similar transaction, consolidation,
                    merger, business combination, sale or conveyance not taken
                    place. The Company shall not effect any such consolidation,
                    merger, business combination, sale or conveyance unless
                    prior to or simultaneously with the consummation thereof the
                    survivor or successor corporation (if other than the
                    Company) resulting from such consolidation or merger or the
                    corporation purchasing such assets shall assume by written
                    instrument executed and sent to the Holder, the obligation
                    to deliver to the Holder such shares of stock, securities or
                    assets as, in accordance with the foregoing provisions, the
                    Holder may be entitled to receive.

                (c) Statement on Warrant Certificates. Irrespective of any
                    adjustments in the Exercise Price or the number or kind of
                    Warrant Shares, this Warrant may continue to express the
                    same price and number and kind of shares as are stated on
                    the front page hereof.



 
                                      - 5 -

<PAGE>   6



                (d) Exception to Adjustment. Anything herein to the contrary
                    notwithstanding, the Company shall not be required to make
                    any adjustment of the number of Warrant Shares issuable
                    hereunder or to the Exercise Price in the case of the
                    issuance of the Warrants or the issuance of shares of the
                    Common Stock (or other securities) upon exercise of the
                    Warrants.

                (e) Treasury Shares. The number of shares of the Common Stock
                    outstanding at any time shall not include treasury shares or
                    shares owned or held by or for the account of the Company or
                    any of its subsidiaries, and the disposition of any such
                    shares shall be considered an issue or sale of the Common
                    Stock for the purposes of this Section 4.

                (f) Adjustment Notices to Holder. Upon any increase or decrease
                    in the number of Warrant Shares purchasable upon the
                    exercise of this Warrant or the Exercise Price the Company
                    shall, within 30 days thereafter, deliver written notice
                    thereof to all Holders, which notice shall state the
                    increased or decreased number of Warrant Shares purchasable
                    upon the exercise of this Warrant and the adjusted Exercise
                    Price, setting forth in reasonable detail the method of
                    calculation and the facts upon which such calculations are
                    based.

         Section 5. Notification by the Company. In case at any time while this
Warrant remains outstanding:

                (a) the Company shall declare any dividend or make any
                    distribution upon its Common Stock or any other class of its
                    capital stock; or

                (b) the Company shall offer for subscription pro rata to the
                    holders of its Common Stock or any other class of its
                    capital stock any additional shares of stock of any class or
                    any other securities convertible into or exchangeable for
                    shares of stock or any rights or options to subscribe
                    thereto; or

                (c) the Board of Directors of the Company shall authorize any
                    capital reorganization, reclassification or similar
                    transaction involving the capital stock of the Company, or a
                    sale or conveyance of all or a substantial part of the
                    assets of the Company, or a consolidation, merger or
                    business combination of the Company with another Person; or



 
                                      - 6 -

<PAGE>   7



                (d) actions or proceedings shall be authorized or commenced for
                    a voluntary or involuntary dissolution, liquidation or
                    winding-up of the Company;

then, in any one or more of such cases, the Company shall give written notice to
the Holder, at the earliest time legally practicable (and not less than 20 days
before any record date or other date set for definitive action) of the date on
which (i) the books of the Company shall close or a record shall be taken for
such dividend, distribution or subscription rights or options or (ii) such
reorganization, reclassification, sale, conveyance, consolidation, merger,
dissolution, liquidation or winding-up shall take place or be voted on by
shareholders of the Company, as the case may be. Such notice shall also specify
the date as of which the holders of the Common Stock of record shall participate
in said dividend, distribution, subscription rights or options or shall be
entitled to exchange their Common Stock for securities or other property
deliverable upon such reorganization, reclassification, sale, conveyance,
consolidation, merger, dissolution, liquidation or winding-up, as the case may
be. If the action in question or the record date is subject to the effectiveness
of a registration statement under the Securities Act or to a favorable vote of
shareholders, the notice required by this Section 5 shall so state.

         Section 6. No Voting Rights: Limitations of Liability. Prior to
exercise, this Warrant will not entitle the Holder to any voting rights or other
rights as a stockholder of the Company. No provision hereof, in the absence of
affirmative action by the Holder to exercise this Warrant, and no enumeration
herein of the rights or privileges of the Holder, shall give rise to any
liability of the Holder for the purchase price of the Warrant Shares pursuant to
the exercise hereof.

         Section 7. Amendment and Waiver.

                (a) No failure or delay of the Holder in exercising any power or
                    right hereunder shall operate as a waiver thereof, nor shall
                    any single or partial exercise of such right or power, or
                    any abandonment or discontinuance of steps to enforce such a
                    right or power, preclude any other or further exercise
                    thereof or the exercise of any other right or power. The
                    rights and remedies of the Holder are cumulative and not
                    exclusive of any rights or remedies which it would otherwise
                    have. The provisions of this Warrant may be amended,
                    modified or waived with (and only with) the written consent
                    of the Company and the Required Holders.

                (b) No notice or demand on the Company in any case shall entitle
                    the Company to any other or further notice or demand in
                    similar or other circumstances.



 
                                      - 7 -

<PAGE>   8



         Section 8. No Fractional Warrant Shares. The Company shall not be
required to issue stock certificates representing fractions of Warrant Shares,
but shall in respect of any fraction of a Warrant Share make a payment in cash
based on the Value of the Common Stock after giving effect to the full exercise
or conversion of the Warrants.

         Section 9. Reservation of Warrant Shares. The Company shall authorize,
reserve and keep available at all times, free from preemptive rights, a
sufficient number of Warrant Shares to satisfy the requirements of this Warrant.

         Section 10. Notices. Unless otherwise specified, whenever this Warrant
requires or permits any consent, approval, notice, request, or demand from one
party to another, that communication must be in writing (which may be by
telecopy) to be effective and is deemed to have been given (a) if by telecopy,
when transmitted to the appropriate telecopy number (and all communications sent
by telecopy must be confirmed promptly by telephone; but any requirement in this
parenthetical does not affect the date when the telecopy is deemed to have been
delivered), or (b) if by any other means, including by internationally
acceptable courier or hand delivery, when actually delivered. Until changed by
notice pursuant to this Warrant, the address (and telecopy number) for the
Holder and the Company are:

<TABLE>
<S>                                 <C>
         If to Holder:              Joint Energy Development Investments Limited Partnership
                                    c/o Enron Corp.
                                    1400 Smith Street
                                    Houston, Texas  77002
                                    Attn:  Donna Lowry - Director, 28th Floor
                                    Facsimile: (713) 646-3602

         If to Company:             Queen Sand Resources, Inc.
                                    13760 Noel Road, Suite 1030
                                    Dallas, Texas 75240-7336
                                    Attn:  Robert P. Lindsay
                                    Facsimile: (972) 233-9575

         With copies to:            Queen Sand Resources, Inc.
                                    30 Metcalfe Street, Suite 620
                                    Ottawa, Canada K1P 5L4
                                    Attn:  Edward J. Munden
                                    Facsimile: (613) 230-6055
</TABLE>



 
                                      - 8 -

<PAGE>   9



                                    Haynes and Boone, LLP
                                    901 Main Street, Suite 3100
                                    Dallas, Texas  75202
                                    Attn:  William L. Boeing, Esq.
                                    Facsimile:  (214) 651-5940

         Section 11. Section and Other Headings. The headings contained in this
Warrant are for reference purposes only and will not affect in any way the
meaning or interpretation of this Warrant.

         Section 12. Governing Law. THIS WARRANT SHALL BE GOVERNED BY, AND
CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF DELAWARE.

         Section 13. Binding Effect. The terms and provisions of this Warrant
shall inure to the benefit of the Holder and its successors and assigns and
shall be binding upon the Company and its successors and assigns, including,
without limitation, any Person succeeding to the Company by merger,
consolidation or acquisition of all or substantially all of the Company's
assets.

                                    * * * * *


 
                                      - 9 -

<PAGE>   10



         IN WITNESS WHEREOF, the seal of the Company and the signature of its
duly authorized officer have been affixed hereto as of November 30, 1998.


                                       QUEEN SAND RESOURCES, INC.


Attest:                                By:
       ----------------------------       -------------------------------------
         V. Ed Butler                  Name:  Robert P. Lindsay
         Assistant Secretary           Title: Chief Operating Officer and
                                               Executive Vice President





 
                                     - 10 -

<PAGE>   11



                                    EXHIBIT A
                                       TO
                                     WARRANT

                                  PURCHASE FORM

                          To Be Executed by the Holder
                        Desiring to Exercise a Warrant of
                           Queen Sand Resources, Inc.


         The undersigned holder hereby exercises the right to purchase ______
shares of Common Stock covered by the within Warrant, according to the
conditions thereof, and herewith makes payment in full of the Exercise Price of
such shares, in the amount of $__________.


                                    Name of Holder:



                                    -------------------------------------------
                                    Signature:
                                              ---------------------------------
                                    Title:
                                          -------------------------------------
                                    Address:
                                            -----------------------------------

                                    -------------------------------------------

                                    -------------------------------------------



Dated:             ,
       ------------  -----




 
                                     - 11 -

<PAGE>   12


                                    EXHIBIT B
                                       TO
                                     WARRANT

                                 ASSIGNMENT FORM

                          To Be Executed by the Holder
                        Desiring to Transfer a Warrant of
                           Queen Sand Resources, Inc.


         FOR VALUE RECEIVED, the undersigned holder hereby sells, assigns and
transfers unto ________________________________________________________ the
right to purchase ______ shares of Common Stock covered by the within Warrant,
and does hereby irrevocably constitute and appoint _________________ Attorney to
transfer the said Warrant on the books of the Company (as defined in such
Warrant), with full power of substitution.

                                    Name of Holder:



                                    -------------------------------------------
                                    Signature:
                                              ---------------------------------
                                    Title:
                                          -------------------------------------
                                    Address:
                                            -----------------------------------

                                    -------------------------------------------

                                    -------------------------------------------



Dated:             ,
       ------------  -----

In the presence of

- ---------------------------------------

                                     NOTICE:
The signature to the foregoing Assignment Form must correspond to the name as
written upon the face of the within Warrant in every detail, without alteration
or enlargement or any change whatsoever.


 
                                     - 12 -





<PAGE>   1
                                                                     EXHIBIT 5.1

                       [HAYNES AND BOONE, LLP LETTERHEAD]

January 22, 1999


Queen Sand Resources, Inc.
13760 Noel Road, Suite 1030
Dallas, TX  75240-7336

Re:  Registration Statement on Form S-3 of 1,410,877 shares of
     Common Stock, par value $.0015 per share, of Queen Sand
     Resources, Inc. ("Common Stock")

Gentlemen:

We are securities counsel to Queen Sand Resources, Inc., a Delaware corporation
(the "Company"), in connection with the registration and issuance of up
to 1,410,877 shares of Common Stock (the "Shares"), plus an indeterminate number
of additional shares of Common Stock issuable (i) to prevent dilution resulting
from stock splits, stock dividends or similar events, or (ii) by reason of
changes in the exercise price of the Repricing Rights (defined below) or the
exercise price of the Warrants (defined below) to be sold by the Selling
Stockholders named in the Prospectus constituting a part of this Registration
Statement (the "Selling Stockholders") following the exercise of repricing
rights for shares of Common Stock (the "Repricing Rights") or warrants to
purchase shares of Common Stock (the "Warrants") described in the Prospectus.

We have examined such documents, records and matters of law as we have deemed
necessary for purposes of this opinion. Based on the foregoing, we are of the
opinion that the Shares are duly authorized and, and when issued to the Selling
Stockholders in accordance with the terms described in the Prospectus contained
in the Company's Registration Statement on Form S-3 to which this opinion is an
exhibit, will be validly issued, fully paid and nonassessable.

In rendering the foregoing opinion, we have relied as to certain factual matters
upon certificates of officers of the Company, the Selling Stockholders and
public officials, and we have not independently checked or verified the accuracy
of the statements contained therein.

We hereby consent to the filing of this opinion as Exhibit 5.1 to this
Registration Statement on Form S-3 filed by the Company to effect registration
of the Shares under the Securities


<PAGE>   2
Queen Sand Resources, Inc.
January 22, 1999
Page 2

Act of 1933, as amended, and to the reference to us under the caption "Legal
Matters" in the Prospectus constituting a part of such Registration Statement.

Very truly yours,

/s/ Haynes and Boone, LLP

Haynes and Boone, LLP

<PAGE>   1


                                                                    EXHIBIT 23.1


                          CONSENT OF ERNST & YOUNG LLP


         We consent to the reference to our firm under the caption "Experts" in
the Registration Statement (Form S-3) and related Prospectus of Queen Sand
Resources, Inc. (the "Company") for the registration of 1,410,877 shares of its
Common Stock and to the incorporation by reference therein of (i) our report
dated September 2, 1998 with respect to the consolidated financial statements of
the Company included in its Annual Report (Form 10-KSB) for the year ended June
30, 1998, filed with the Securities and Exchange Commission, and (ii) our report
dated April 17, 1998, with respect to the statements of net profits interests
and royalty interests revenues of certain oil and gas producing properties
acquired from pension funds managed by J.P. Morgan Investments for the years
ended June 30, 1997, 1996 and 1995 appearing in the Company's Current Report on
Form 8-K dated March 19, 1998, as amended by Current Report on Form 8-K/A-2
dated June 8, 1998 and filed with the Securities and Exchange Commission.



                                       ERNST & YOUNG LLP


January 22, 1999

<PAGE>   1


                                                                    EXHIBIT 23.3

                   [H.J. GRUY AND ASSOCIATES, INC. LETTERHEAD]


                   CONSENT OF INDEPENDENT PETROLEUM ENGINEERS


         We hereby consent to (i) the incorporation by reference in the
Prospectus (the "Prospectus") constituting a part of the Registration Statement
on Form S-3 filed by Queen Sand Resources, Inc., a Delaware corporation (the
"Company"), under the Securities Act of 1933, of information contained in our
reserve reports relating to the proved oil and natural gas reserves and future
net revenues of oil and natural gas reserves of the Company as of June 30, 1997
(other than with respect to the Property Acquisitions (as defined in the
Prospectus)) and June 30, 1998 (other than with respect to the Morgan Properties
(as defined in the Prospectus)) and all references to such report letters and/or
this firm in such Prospectus and (ii) further consent to our being named as an
expert therein in the section titled "Engineers."


                                       H.J. GRUY AND ASSOCIATES, INC.

                                       By: /s/ Robert J. Naas
                                          ---------------------------------
                                       Name: Robert J. Naas
                                       Title: Executive Vice President



January 21, 1999

<PAGE>   1


                                                                    EXHIBIT 23.4

                     [HARPER & ASSOCIATES, INC. LETTERHEAD]


                   CONSENT OF INDEPENDENT PETROLEUM ENGINEERS


         We hereby consent to (i) the incorporation by reference in the
Prospectus (the "Prospectus") constituting a part of the Registration Statement
on Form S-3 filed by Queen Sand Resources, Inc., a Delaware corporation (the
"Company"), under the Securities Act of 1933, of information contained in our
reserve reports relating to the proved oil and natural gas reserves and future
net revenues of oil and natural gas reserves as of June 30, 1996 and all
references to such report letters and/or this firm in such Prospectus and (ii)
further consent to our being named as an expert therein in the section titled
"Engineers."


                                       HARPER & ASSOCIATES, INC.

                                       /s/ G.M. Harper

<PAGE>   1


                                                                    EXHIBIT 23.5

                        [RYDER SCOTT COMPANY LETTERHEAD]

                   CONSENT OF INDEPENDENT PETROLEUM ENGINEERS


         We hereby consent to (i) the incorporation by reference in the
Prospectus (the "Prospectus") constituting a part of the Registration Statement
on Form S-3 filed by Queen Sand Resources, Inc., a Delaware corporation (the
"Company"), under the Securities Act of 1933, of information contained in our
reserve report relating to the proved oil and natural gas reserves and future
net revenues of oil and natural gas reserves of the Company at June 30, 1998
with respect to the Morgan Properties (as defined in the Prospectus) and all
references to such report letters and/or this firm in such Prospectus and (ii)
further consent to our being named as an expert therein in the section titled
"Engineers."


                                       /s/ Ryder Scott Company
                                       ------------------------------------
                                       Petroleum Engineers
                                       ------------------------------------

                                       RYDER SCOTT COMPANY
                                       PETROLEUM ENGINEERS


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