BRIGHAM EXPLORATION CO
10-K, 1998-03-27
CRUDE PETROLEUM & NATURAL GAS
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                UNITED STATES SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549
                             ---------------------
                                   FORM 10-K
                             ---------------------
(MARK ONE)
     [X]         ANNUAL REPORT PURSUANT TO SECTION 13 OR 15(d)
                     OF THE SECURITIES EXCHANGE ACT OF 1934
 
                  FOR THE FISCAL YEAR ENDED DECEMBER 31, 1997
 
                                       OR
 
     [ ]       TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d)
                     OF THE SECURITIES EXCHANGE ACT OF 1934
 
             FOR THE TRANSITION PERIOD FROM           TO
 
                            COMMISSION FILE NUMBER:
 
                          BRIGHAM EXPLORATION COMPANY
             (Exact name of Registrant as Specified in its Charter)
 
<TABLE>
<S>                                              <C>
                    DELAWARE                                        75-2692967
        (State or other jurisdiction of                          (I.R.S. Employer
         incorporation or organization)                        Identification No.)
 
           6300 BRIDGE POINT PARKWAY
             BUILDING 2, SUITE 500
                 AUSTIN, TEXAS                                        78730
    (Address of principal executive offices)                        (Zip Code)
</TABLE>
 
              (Registrant's telephone number, including area code)
 
          Securities registered pursuant to Section 12(b) of the Act:
 
<TABLE>
<CAPTION>
                                           NAME OF EACH EXCHANGE ON
      TITLE OF EACH CLASS                      WHICH REGISTERED
      -------------------                  ------------------------
<S>                                     <C>
             None                                    None
</TABLE>
 
          Securities registered pursuant to Section 12(g) of the Act:
                          COMMON STOCK, $.01 PAR VALUE
                                (Title of Class)
 
     Indicate by check mark whether the Registrant: (1) has filed all reports
required to be filed by Section 13 or 15(d) of the Securities Exchange Act of
1934 during the preceding 12 months (or for such shorter period that the
Registrant was required to file such reports), and (2) has been subject to such
filing requirements for the past 90 days. Yes [X]  No [ ]
 
     Indicate by check mark if disclosure of delinquent filers pursuant to Item
405 of Regulation S-K is not contained herein, and will not be contained, to the
best of Registrant's knowledge, in definitive proxy or information statements
incorporated by reference in Part III of this Form 10-K or any amendment to this
Form 10-K. [ ]
 
     As of March 24, 1998, the Registrant had outstanding 12,253,574 shares of
Common Stock. The aggregate market value of the Common Stock held by
non-affiliates of the Registrant, based upon the closing sale price of the
Common Stock on March 24, 1998, as reported on The Nasdaq Stock Market(SM), was
approximately $45 million.
 
                      DOCUMENTS INCORPORATED BY REFERENCE
 
     Portions of the definitive proxy statement for the Registrant's 1998 Annual
Meeting of Stockholders to be held on May 29, 1998, are incorporated by
reference in Part III of this Form 10-K. Such definitive proxy statement will be
filed with the Securities and Exchange Commission not later than 120 days
subsequent to December 31, 1997.
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                               TABLE OF CONTENTS
 
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<CAPTION>
                                                                        PAGE
                                                                        ----
<S>       <C>                                                           <C>
                                   PART I
ITEM 1.   BUSINESS....................................................    1
ITEM 2.   PROPERTIES..................................................    7
ITEM 3.   LEGAL PROCEEDINGS...........................................   15
ITEM 4.   EXECUTIVE OFFICERS OF THE REGISTRANT........................   15
 
                                  PART II
ITEM 5.   MARKET FOR REGISTRANT'S COMMON EQUITY AND RELATED
          STOCKHOLDER MATTERS.........................................   17
ITEM 6.   SELECTED FINANCIAL DATA.....................................   18
ITEM 7.   MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION
          AND RESULTS OF OPERATIONS...................................   19
ITEM 8.   FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA.................   30
ITEM 9.   CHANGES IN AND DISAGREEMENTS WITH ACCOUNTANTS ON ACCOUNTING
          AND FINANCIAL DISCLOSURE....................................   30
 
                                  PART III
ITEM 10.  DIRECTORS AND EXECUTIVE OFFICERS OF THE REGISTRANT..........   31
ITEM 11.  EXECUTIVE COMPENSATION......................................   31
ITEM 12.  SECURITY OWNERSHIP OF CERTAIN BENEFICIAL OWNERS AND
          MANAGEMENT..................................................   31
ITEM 13.  CERTAIN RELATIONSHIPS AND RELATED PARTY TRANSACTIONS........   31
 
                                  PART IV
ITEM 14.  EXHIBITS, FINANCIAL STATEMENT SCHEDULES AND REPORTS ON FORM
          8-K.........................................................   31
GLOSSARY OF OIL AND GAS TERMS.........................................   37
SIGNATURES............................................................   39
INDEX TO FINANCIAL STATEMENTS.........................................  F-1
</TABLE>
 
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                          BRIGHAM EXPLORATION COMPANY
 
                        1997 ANNUAL REPORT ON FORM 10-K
 
                                     PART I
 
ITEM 1. BUSINESS
 
OVERVIEW
 
     Brigham Exploration Company ("Brigham" or the "Company") is an independent
exploration and production company that applies 3-D seismic imaging and other
advanced technologies to systematically explore and develop onshore domestic oil
and natural gas provinces. The Company focuses its 3-D seismic activity in
provinces where it believes 3-D technology may be effectively applied and that
Brigham believes offer relatively large potential reserve volumes per well and
per field, high potential production rates and multiple producing objectives.
The Company's exploration activities are concentrated primarily in three core
provinces: the Anadarko Basin of western Oklahoma and the Texas Panhandle; the
onshore Gulf Coast of south Texas and Louisiana; and West Texas. Brigham is
accelerating its 3-D seismic and drilling activities in the Anadarko Basin and
the Gulf Coast and will continue to focus its activities in those geologic
trends of the West Texas region where it has achieved its best historical
results.
 
     The Company pioneered the acquisition of large scale onshore 3-D seismic
surveys for exploration, obtaining extensive 3-D seismic data and experience in
capturing undiscovered oil and natural gas reserves. As of December 31, 1997,
Brigham has acquired 4,005 square miles (2.6 million acres) of 3-D seismic data
and has identified 1,170 potential drilling locations, of which the Company has
drilled 370. The Company generates most of its exploratory projects and,
therefore, has the ability to retain a sizeable working interest to the extent
that it decides not to place interests with industry participants.
 
     From inception in 1990 through 1997, Brigham has drilled 324 exploratory
and 46 development wells on its 3-D generated prospects with an aggregate 63%
success rate and an average working interest of 24%. As of December 31, 1997,
the Company has added approximately 82 Bcfe of net proved reserves to its
reserve base, approximately 61 net Bcfe of which were discovered by Brigham
through its systematic 3-D exploration drilling activities. The Company's
estimated net proved reserves as of December 31, 1997 were 72.3 Bcfe having an
aggregate Present Value of Future Net Revenues of $69.2 million, compared to
estimated net proved reserves as of December 31, 1996 of 21.9 Bcfe having an
aggregate Present Value of Future Net Revenues of $44.5 million. The Company's
net proved reserve volumes at December 31, 1997 are 74% natural gas and 65%
categorized as proved developed reserves.
 
EXPLORATION AND OPERATING APPROACH
 
     The Company has acquired 3-D seismic data in 119 projects covering 4,005
square miles (2.6 million acres) in 20 geologic trends in seven basins and seven
states. Through this activity, the Company has developed expertise in the
selection of geologic trends that are suitable for 3-D seismic exploration.
Brigham uses experience that it gains within a trend to enhance the quality of
subsequent projects in the same trend and other analogous trends, contributing
to lower finding and development costs, compressing project cycle times and
increasing project rates of return.
 
     The Company typically acquires 3-D seismic data in and around existing
production where the Company can benefit from the imaging of producing analogs.
These 3-D defined analogs, combined with the Company's experience in drilling
370 wells, provide the Company with a knowledge base to evaluate other potential
geologic trends, 3-D seismic projects within trends and 3-D delineated potential
drilling locations. The Company's knowledge base assists in identifying geologic
trends where Brigham believes it can find and develop economic volumes of oil
and natural gas.
 
     The Company has experience exploring with 3-D seismic in a wide range of
reservoir types and geologic trapping styles, both stratigraphic and structural
(including reefs, salt domes, channel sands, complex faulted
 
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and fractured reservoirs and pinchout plays). The Company seeks to supplement
its knowledge base with the best local geologic expertise available for a
particular geologic trend by hiring new explorationists, engaging consultants
and entering into joint ventures with industry participants. In addition, if the
targeted geologic trend is extensive, the Company typically acquires a digital
data base for integration on the Company's CAEX workstations, including digital
land grids, well information, log curves, production information, geologic
studies, geologic top data bases and existing 2-D seismic data.
 
     The Company uses its knowledge base, local geological expertise and
acquired digital data bases, integrated with 3-D seismic, to create maps of
producing reservoirs. The Company believes its 3-D generated maps are more
accurate than the previous reservoir maps used by the industry (which generally
were based on subsurface geological information and 2-D seismic surveys),
enabling the Company to more precisely evaluate recoverable reserves and the
economic feasibility of projects and drilling locations.
 
     Brigham acquires most of its raw 3-D seismic data on a proprietary basis
using seismic acquisition vendors. Additionally, the Company acquires data
through alliances affording it the exclusive right to interpret and use data for
extended periods of time. Occasionally the Company participates in
non-proprietary group shoots of 3-D data. In its proprietary acquisitions and
alliances, Brigham selects the sites of projects, primarily guided by its
knowledge and experience in the core provinces it explores; establishes and
monitors the seismic parameters of each project for which data is shot; and
typically selects the equipment that will be used. Data is generally priced on
the basis of square miles shot. See "Item 1. Business -- Industry Alliances."
 
EXPLORATION STAFF
 
     Over the last seven years the Company has assembled an exploration staff
that includes nine geophysicists, ten geologists, three petroleum engineers,
four computer applications specialists, three geophysical/
geological/engineering technicians, five landmen and five lease and division
order analysts. Brigham's nine geophysicists have different but complementary
backgrounds, and their diversity of experience in varied geological and
geophysical settings, combined with various technical specializations (from
hardware and systems to software and seismic data processing), provide the
Company with valuable technical intellectual resources. The Company's team of
explorationists has over 250 years of exploration experience and approximately
85 years of 3-D CAEX workstation experience, most of which was acquired at
Brigham and various major and large independent oil companies. Occasionally, the
Company complements and leverages its exploration staff by seeking out alliances
or retainer relationships with geologists having extensive experience in a
particular area of interest.
 
3-D SEISMIC TECHNOLOGY
 
     The Company's strategy is to use 3-D seismic and other advanced
technologies, including CAEX, to systematically explore and develop domestic
onshore oil and natural gas provinces. In general, 3-D seismic is the process of
acquiring seismic data along multiple lines and grids. The primary advantage of
3-D seismic over 2-D seismic is that it provides information with respect to
multiple horizontal and vertical points within a geologic formation instead of
information on a single vertical line or multiple vertical lines within the
formation. Acquiring larger amounts of data relating to a geologic formation
allows a user to better correlate the data and, in some cases, obtain a greater
understanding and image of the formation. Although it is impossible to predict
with certainty the specific configuration or composition of any underground
geologic formation, the use of 3-D seismic data provides clearer and more
accurate projected images of complex geologic formations, which can assist a
user in evaluating whether to drill for oil and natural gas reserves. If a
decision to drill is made, 3-D seismic data can also help in determining the
optimal location to drill.
 
     CAEX is the process of accumulating and analyzing the various seismic,
production and other data obtained relating to a geographic area. In general,
CAEX involves accumulating various 2-D and 3-D seismic data with respect to a
potential drilling location, correlating that data with historical well control
and production data from similar properties and analyzing the available data
through computer programs and modeling techniques to project the likely geologic
composition of a potential drilling location and potential locations of
undiscovered oil and natural gas reserves. This process relies on a comparison
of data with respect
 
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to the potential drilling location and historical data with respect to the
density and sonic characteristics of different types of rock formations,
hydrocarbons and other subsurface minerals, resulting in a projected three
dimensional image of the subsurface. This modeling is performed through the use
of advanced interactive computer workstations and various combinations of
available computer programs that have been developed solely for this
application.
 
     Brigham has invested extensively in the advanced computer hardware and
software necessary for 3-D seismic exploration. The Company has both Landmark
and Geoquest CAEX workstations. This workstation flexibility provides the
Company the opportunity to interpret a project on the particular CAEX
workstation that it believes is best suited for defining those particular
geologic objectives. Brigham's explorationists can access a diverse software
tool kit including SeisWorks, StratWorks, SeisCube, SurfCube, ZAP, Zmap+, ARIES,
SynTool, Poststack, Continuity Cube, TDQ, AutoPix, MapView, GeoViz, Voxels,
SynView, CSA (Computed Seismic Attributes), Surface Slice, Hampson -- Russell
AVO Analysis and Modeling and ZEH Graphics CGMage Builder (graphics montage
tool).
 
     The Company believes that its use of 3-D seismic technology provides it
with a number of benefits in the exploration, delineation and development
process that are not generally available to those who only use 2-D seismic data
and conventional processing methods. In particular, the Company believes that it
obtains clearer and more accurate projected images of underground formations
through computer modeling, and is therefore better able to identify potential
locations of hydrocarbon accumulations based on the characteristics of the
formations and analogies made with nearby fields and formations where
hydrocarbons have been found. This enhanced data has been used to assist the
Company in eliminating potential drilling locations that might otherwise have
been drilled had the Company relied solely on 2-D seismic data. This data has
also been used to assist the Company in attempting to identify the most
desirable location for the wellbore to increase the prospects of a successful
exploratory or development well and production from the reservoir.
 
INDUSTRY ALLIANCES
 
     Pursuant to certain alliances with Veritas DGC Land Ltd. ("Veritas"),
Brigham has acquired approximately 850 square miles of 3-D seismic data in the
Anadarko Basin through December 31, 1997, and has agreed to acquire from 775 to
875 additional square miles of data to be divided among numerous projects in
that province. In exchange for the Company's commitment to Veritas, the Company
and its assignees only pay a portion of the 3-D acquisition costs as the data is
acquired. As the Company leases acreage or drills wells, it pays Veritas the
balance of the costs in the form of leasing and drilling fees. In addition, in
the event that the outstanding balance of deferred seismic acquisition costs
exceeds certain threshold amounts, the Company must pre-pay part of the leasing
and drilling fees to cause the outstanding balance to fall below the current
threshold amount. Under these arrangements, Veritas has agreed to make a
designated 3-D seismic crew available to the Company on a continuous basis and,
as long as the Company has a project area ready for surveying and field seismic
acquisition, to send the crew from one project area to the next without
interruption. If the Company does not have a project area designated upon
completion of one project, and Veritas has not been able to secure an
intervening project from a third party, the Company is obligated to pay Veritas
a stand-by fee. The Company has never incurred a stand-by fee to Veritas. These
arrangements afford the Company access to 3-D seismic data acquisition in a
compressed cycle time, providing the Company with operational efficiencies.
 
     In addition, Veritas Geoservices, Ltd. currently provides three employees
that maintain and operate four seismic data processing workstations in Brigham's
offices. Supervised by Brigham's geophysicists, the vendor's employees process
most of the Company's 3-D data. The associated improvement in communication and
integration, from field data acquisition to processing, reduces project cycle
times, and therefore costs, while improving the quality of the data for
Brigham's subsequent interpretation.
 
     The Company has entered into alliances with Vintage Petroleum, Inc.
("Vintage") and Stephens Production Company ("Stephens") providing for their
participation with Brigham in all projects that the Company conducts within a
625 square mile 3-D seismic program that was completed in 1997 with Veritas in
the Anadarko Basin. Vintage and Stephens bear a disproportionate share of all
pre-seismic and certain seismic
 
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costs on all projects in the program. Net of the interests of Vintage and
Stephens, the Company holds a 37.5% interest in the program. The Company
believes that this leveraging of its costs is possible because of the expertise
and knowledge that the Company has developed, enabling the Company to build its
revenue and cash flow base at a time when it has been capital constrained.
 
     Brigham is currently acquiring 3-D seismic data under a second alliance
with Veritas in the Anadarko Basin. From August through December 1997, the
Company has acquired approximately 225 square miles of 3-D seismic data under
this alliance and expects to acquire an additional 775 to 875 square miles in
various Brigham-generated projects by early 1999. The Company plans to retain at
least a 75% working interest in the projects under its second alliance with
Veritas.
 
     In order to participate in wells drilled by the Company between April 1,
1996 and March 31, 1997, each of Gasco Limited Partnership ("Gasco") and Middle
Bay Oil Company, Inc. ("Middle Bay") agreed to fund 25% of the Company's
drilling costs and 12.5% of its completion costs for each well drilled. In
return, the Company assigned to each an undivided 12.5% of the Company's
interest in the leasehold allocated to the proration unit for each completed
well. As a result, the Company paid for 50% of costs attributable to its working
interest to casing point, and 75% of its completion costs, for 75% of its
original working interest for each well funded during the term of the agreement.
The Company renewed its agreement with Gasco in early 1997. In order to
participate in wells drilled by the Company between April 1, 1997 and March 31,
1998, Gasco agreed to fund 18% of the Company's drilling costs and 9% of its
completion costs for each well. In return, the Company has agreed to assign to
Gasco an undivided 9% of the Company's interest in the leasehold allocated to
each completed well. As a result, the Company pays for 82% of costs attributable
to its working interest to casing point, and 91% of its completion costs, for
91% of its original working interest for each well funded during the term of the
agreement. The Company is currently in discussions with Gasco to renew its
agreement, although the percentages of costs borne and interest assigned may
vary under any renewal or extension of this agreement, and there is no guarantee
that any renewal will be agreed upon. The Company believes that these agreements
have been beneficial because they have allowed the Company to leverage its
working interests in its properties by requiring it to bear a disproportionately
smaller share of drilling costs.
 
NATURAL GAS AND OIL MARKETING AND MAJOR CUSTOMERS
 
     Most of the Company's natural gas and oil production is sold under price
sensitive or spot market contracts. The revenues generated by the Company's
operations are highly dependent upon the prices of and demand for natural gas
and oil. The price received by the Company for its natural gas and oil
production depends on numerous factors beyond the Company's control, including
seasonality, competition, the condition of the United States economy, foreign
imports, political conditions in other oil-producing and natural gas-producing
countries, the actions of the Organization of Petroleum Exporting Countries, and
domestic government regulation, legislation and policies. Decreases in the
prices of natural gas and oil could have an adverse effect on the carrying value
of the Company's proved reserves and the Company's revenues, profitability and
cash flow. Although the Company is not currently experiencing any significant
involuntary curtailment of its natural gas or oil production, market, economic
and regulatory factors may in the future materially affect the Company's ability
to sell its natural gas or oil production. See "Item 7. Management's Discussion
and Analysis of Financial Condition and Results of Operations", "--Risk
Factors -- Volatility of Natural Gas and Oil Prices" and "--Risk
Factors -- Marketability of Production." For the year ended December 31, 1997,
sales to Cobra Oil & Gas Corporation and Pride Pipeline Company were
approximately 14% and 12%, respectively, of the Company's natural gas and oil
revenues. Due to the availability of other markets and pipeline connections, the
Company does not believe that the loss of any single natural gas or oil customer
would have a material adverse effect on the Company's results of operations.
 
COMPETITION
 
     The oil and gas industry is highly competitive in all of its phases. The
Company encounters competition from other oil and gas companies in all areas of
its operations, including the acquisition of seismic and leasing options and oil
and natural gas leases on properties. The Company's competitors include major
integrated oil and natural gas companies and numerous independent oil and
natural gas companies, individuals and drilling
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and income programs. Many of its competitors are large, well established
companies with substantially larger operating staffs and greater capital
resources than the Company's. Such companies may be able to pay more for seismic
and lease options on oil and natural gas properties and exploratory prospects
and to define, evaluate, bid for and purchase a greater number of properties and
prospects than the Company's financial or human resources permit. The Company's
ability to acquire additional properties and to discover reserves in the future
will be dependent upon its ability to evaluate and select suitable properties
and to consummate transactions in a highly competitive environment. See "Item 7.
Management's Discussion and Analysis of Financial Conditional Results of
Operations -- Risk Factors -- Competition" and "-- Risk Factors -- Substantial
Capital Requirements."
 
OPERATING HAZARDS AND UNINSURED RISKS
 
     Drilling activities are subject to many risks, including the risk that no
commercially productive reservoirs will be encountered. There can be no
assurance that new wells drilled by the Company will be productive or that the
Company will recover all or any portion of its investment. Drilling for oil and
natural gas may involve unprofitable efforts, not only from dry wells, but also
from wells that are productive but do not produce sufficient net revenues to
return a profit after drilling, operating and other costs. The cost of drilling,
completing and operating wells is often uncertain. The Company's drilling
operations may be curtailed, delayed or canceled as a result of numerous
factors, many of which are beyond the Company's control, including title
problems, weather conditions, compliance with governmental requirements and
shortages or delays in the delivery of equipment and services. The Company's
future drilling activities may not be successful and, if unsuccessful, such
failure may have a material adverse effect on the Company's future results of
operations and financial condition. See "Item 7. Management's Discussion and
Analysis of Financial Condition and Results of Operations -- Risk
Factors -- Dependence on Exploratory Drilling Activities." In addition, use of
3-D seismic technology requires greater pre-drilling expenditures than
traditional drilling strategies. Although the Company believes that its use of
3-D seismic technology will increase the probability of success, some
unsuccessful wells are likely, and there can be no assurance unsuccessful
drilling efforts will not have a material adverse effect on the Company.
 
     The Company's operations are subject to hazards and risks inherent in
drilling for and producing and transporting oil and natural gas, such as fires,
natural disasters, explosions, encountering formations with abnormal pressures,
blowouts, cratering, pipeline ruptures and spills, any of which can result in
the loss of hydrocarbons, environmental pollution, personal injury claims and
other damage to properties of the Company and others. The Company maintains
insurance against some but not all of the risks described above. In particular,
the insurance maintained by the Company does not cover claims relating to
failure of title to oil and natural gas leases, trespass during 3-D survey
acquisition or surface change attributable to seismic operations, business
interruption or loss of revenues due to well failure. In certain circumstances
in which insurance is available the Company may not purchase it. The occurrence
of an event that is not covered, or not fully covered, by insurance could have a
material adverse effect on the Company's financial condition and results of
operations.
 
EMPLOYEES
 
     On March 24, 1998, the Company had 57 full-time employees. None is
represented by any labor union. The Company believes its relations with its
employees are good. The Company also relies on several regional broker service
companies to provide field landmen to the Company. One of these companies,
Brigham Land Management, is owned by Vincent M. Brigham, who is the brother of
Ben M. Brigham, the Company's Chief Executive Officer, President and Chairman of
the Board.
 
FACILITIES
 
     The Company's principal executive offices are located in Austin, Texas,
where it leases approximately 28,000 square feet of office space at 6300 Bridge
Point Parkway, Building 2, Suite 500, Austin, Texas 78730. The Company also
leases a 4,100 square foot office at 450 Gears Road, Suite 240, Houston, Texas
77067.
 
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TITLE TO PROPERTIES
 
     The Company believes it has satisfactory title, in all material respects,
to substantially all of its producing properties in accordance with standards
generally accepted in the oil and gas industry. The Company's properties are
subject to royalty interests, standard liens incident to operating agreements,
liens for current taxes and other inchoate burdens which the Company believes do
not materially interfere with the use of or affect the value of such properties.
The Company's revolving credit facility is secured by substantially all of the
Company's oil and natural gas properties. See "Item 7. Management's Discussion
and Analysis of Financial Condition and Results of Operations."
 
GOVERNMENTAL REGULATION
 
     The Company's oil and natural gas exploration, production and marketing
activities are subject to extensive laws, rules and regulations promulgated by
federal and state legislatures and agencies. Failure to comply with such laws,
rules and regulations can result in substantial penalties. The legislative and
regulatory burden on the oil and gas industry increases the Company's cost of
doing business and affects its profitability. Although the Company believes it
is in substantial compliance with all applicable laws and regulations, because
those laws and regulations are frequently amended, interpreted and
reinterpreted, the Company is unable to predict the future cost or impact of
complying with such laws and regulations.
 
ENVIRONMENTAL MATTERS
 
     The Company's operations and properties are subject to extensive and
changing federal, state and local laws and regulations relating to environmental
protection, including the generation, storage, handling, emission,
transportation and discharge of materials into the environment, and relating to
safety and health. The recent trend in environmental legislation and regulation
generally is toward stricter standards, and this trend will likely continue.
These laws and regulations may require the acquisition of a permit or other
authorization before construction or drilling commences and for certain other
activities; limit or prohibit construction, drilling and other activities on
certain lands lying within wilderness and other protected areas; and impose
substantial liabilities for pollution resulting from the Company's operations.
The permits required for various of the Company's operations are subject to
revocation, modification and renewal by issuing authorities. Governmental
authorities have the power to enforce compliance with their regulations, and
violations are subject to fines or injunction, or both. In the opinion of
management, the Company is in substantial compliance with current applicable
environmental laws and regulations, and the Company has no material commitments
for capital expenditures to comply with existing environmental requirements.
Nevertheless, changes in existing environmental laws and regulations or in
interpretations thereof could have a significant impact on the Company, as well
as the oil and gas industry in general. The Comprehensive Environmental
Response, Compensation and Liability Act and comparable state statutes impose
strict and arguably joint and several liability on owners and operators of
certain sites and on persons who disposed of or arranged for the disposal of
"hazardous substances" found at such sites. It is not uncommon for the
neighboring land owners and other third parties to file claims for personal
injury and property damage allegedly caused by the hazardous substances released
into the environment. The Resource Conservation and Recovery Act and comparable
state statutes govern the disposal of "solid waste" and "hazardous waste" and
authorize imposition of substantial fines and penalties for noncompliance.
Although CERCLA currently excludes petroleum from its definition of "hazardous
substance," state laws affecting the Company's operations impose clean-up
liability relating to petroleum and petroleum related products. In addition,
although RCRA classifies certain oil field wastes as "non-hazardous," such
exploration and production wastes could be reclassified as hazardous wastes
thereby making such wastes subject to more stringent handling and disposal
requirements.
 
     Federal regulations require certain owners or operators of facilities that
store or otherwise handle oil, such as the Company, to prepare and implement
spill prevention, control countermeasure and response plans relating to the
possible discharge of oil into surface waters. The Oil Pollution Act of 1990
contains numerous requirements relating to the prevention of and response to oil
spills into waters of the United States. For onshore and offshore facilities
that may affect waters of the United States, the OPA requires an operator to
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<PAGE>   9
 
demonstrate financial responsibility. Regulations are currently being developed
under federal and state laws concerning oil pollution prevention and other
matters that may impose additional regulatory burdens on the Company. In
addition, the Clean Water Act and analogous state laws require permits to be
obtained to authorize discharge into surface waters or to construct facilities
in wetland areas. With respect to certain of its operations, the Company is
required to maintain such permits or meet general permit requirements. The EPA
recently adopted regulations concerning discharges of storm water runoff. This
program requires covered facilities to obtain individual permits, participate in
a group or seek coverage under an EPA general permit. The Company believes that
it will be able to obtain, or be included under, such permits, where necessary,
and to make minor modifications to existing facilities and operations that would
not have a material effect on the Company.
 
     The Company has acquired leasehold interests in numerous properties that
for many years have produced oil and natural gas. Although the previous owners
of these interests have used operating and disposal practices that were standard
in the industry at the time, hydrocarbons or other wastes may have been disposed
of or released on or under the properties. In addition, some of the Company's
properties are operated by third parties over whom the Company has no control.
Notwithstanding the Company's lack of control over properties operated by
others, the failure of the operator to comply with applicable environmental
regulations may, in certain circumstances, adversely impact the Company. See
"Item 7. Management's Discussion and Analysis of Financial Condition and Results
of Operations -- Other Matters" and "-- Risk Factors -- Compliance with
Environmental Regulations."
 
ITEM 2. PROPERTIES
 
PRIMARY EXPLORATION PROVINCES
 
     Brigham's exploration activities are concentrated primarily in three core
provinces: the Anadarko Basin of western Oklahoma and the Texas Panhandle; the
onshore Gulf Coast of south Texas and Louisiana; and West Texas. Brigham is
accelerating 3-D seismic activity in the Anadarko Basin and the Gulf Coast and
will continue such activity in those geologic trends of the West Texas region
where it has achieved its best results historically. Brigham is focusing its 3-D
seismic exploration efforts in provinces where it believes 3-D technology may be
effectively applied and that the Company believes offer relatively large
potential reserve volumes per well and per field, high potential production
rates and multiple producing objectives.
 
     Although the Company is acquiring 3-D seismic data within the provinces
listed below and has identified approximately 800 potential drilling locations
yet to be drilled in those provinces, there can be no assurance that any of the
seismic data will be acquired or will generate additional drilling locations or
that any potential drilling locations will be drilled at all or within the
expected time frame. The final determination with respect to the drilling of any
well, including those currently budgeted, will depend on a number of factors,
including (i) the results of exploration efforts and the review and analysis of
the seismic data, (ii) the availability of sufficient capital resources by the
Company and other participants for drilling prospects, (iii) economic and
industry conditions at the time of drilling, including prevailing and
anticipated prices for oil and natural gas and the availability of drilling rigs
and crews, (iv) the financial resources and results of the Company and (v) the
availability of leases on reasonable terms and permitting for the potential
drilling location. There can
 
                                        7
<PAGE>   10
 
be no assurance that the budgeted wells will, if drilled, encounter reservoirs
of commercial quantities of natural gas or oil.
 
<TABLE>
<CAPTION>
                                                                                                1998 CAPITAL BUDGET
                                                                       UNDRILLED   ---------------------------------------------
                          3-D SEISMIC       3-D SEISMIC      GROSS     POTENTIAL                    CAPITAL EXPENDITURES ($MM)
                        DATA ACQUIRED/     DATA BUDGETED     WELLS     DRILLING       WELLS       ------------------------------
                       INTERPRETED AS OF   TO BE ACQUIRED   DRILLED    LOCATIONS     DRILLED        NET
                        12/31/97 (GROSS    IN 1998 (GROSS   THROUGH      AS OF     ------------   SEISMIC      NET
      PROVINCE            SQ. MILES)         SQ. MILES)     12/31/97   12/31/97    GROSS   NET    AND LAND   DRILLING   TOTAL(1)
- ---------------------  -----------------   --------------   --------   ---------   -----   ----   --------   --------   --------
<S>                    <C>                 <C>              <C>        <C>         <C>     <C>    <C>        <C>        <C>
Anadarko Basin.......    1,515 / 1,195          547            55         364        52    20.8    $12.6      $19.1      $31.7
Gulf Coast...........      566 /   325          393            11         110        17     8.2      2.4        8.8       11.2
West Texas...........    1,649 / 1,600           27           287         302        31    13.2      1.7        7.9        9.6
Others (2)...........      275 /   275           --            17          24         1     0.2       --        0.2        0.2
                         -------------          ---           ---         ---       ---    ----    -----      -----      -----
         Total.......    4,005 / 3,395          967           370         800       100    42.4    $16.7      $36.0      $52.7
                         =============          ===           ===         ===       ===    ====    =====      =====      =====
</TABLE>
 
- ---------------
 
(1) 3-D seismic and land acquisition costs and drilling expenditures.
 
(2) Colorado, Kansas and Montana.
 
     Anadarko Basin. The Anadarko Basin is a prolific natural gas province that
the Company believes has been relatively under explored, particularly with
regard to deep, high potential objectives. The Anadarko Basin contains numerous
historically elusive stratigraphic targets, such as the Red Fork, Morrow and
Springer channel sands, and structural targets, such as the Hunton and Arbuckle
carbonates, which are well-suited to 3-D seismic imaging. In some cases, these
objectives have produced in excess of 30 Bcf of natural gas from a single well
at rates up to 30 MMcf of natural gas per day.
 
     The Company has assembled an extensive digital data base in this province,
including geologic studies, basin wide geologic tops, production data, well
data, geographic data and over 8,400 miles of 2-D seismic data. Working with its
team of in-house geologists and supplemented by consulting geologists, the
Company's explorationists integrate this data with their extensive expertise and
knowledge base to generate 3-D projects in the Anadarko Basin.
 
     Following its initial 3-D seismic acquisition in the province in 1991 (12.5
square miles), the Company acquired 51 square miles of 3-D seismic in 1993. Over
the last several years the Company has accelerated its activity in the Anadarko
Basin, acquiring 151 square miles of 3-D seismic in 1994, 195 square miles in
1995, 457 square miles in 1996 and 648 square miles in 1997. The Company
retained a 66% average working interest in the 3-D seismic data it acquired in
this province in 1997. The Company believes its increased level of activity in
the Anadarko Basin will be a significant factor in the Company's growth.
 
     As of December 31, 1997, the Company had acquired or was acquiring 1,515
square miles (969,600 acres) in 30 projects in the Anadarko Basin. The Company
anticipates acquiring 547 square miles (350,080 acres) of additional 3-D seismic
data in this province in 1998. As of December 31, 1997, Brigham had completed 44
wells in 55 attempts (80% success rate) in the Anadarko Basin and had found
cumulative proved reserves of 38.2 net Bcfe and had acquired 21.5 net Bcfe of
proved reserves. In 1997, the Company completed 19 wells in 23 attempts in its
Anadarko Basin province with an average working interest of 39%, adding 28.1 net
Bcfe of proved reserves. As of December 31, 1997, the Company had 364 3-D
delineated potential drilling locations in the Anadarko Basin, of which the
Company intends to drill 52 gross (20.8 net) wells in 1998.
 
     Brigham's Anadarko Basin activity provides a blend of intermediate depth,
moderate risk objectives and deeper, higher potential, but somewhat higher risk
objectives. The intermediate depth targets at 9,000 to 13,000 feet have provided
Brigham with good drilling results to date. These include the Upper Morrow
channel sands and the Lower Morrow shallow marine sands of the Texas Panhandle,
the Springer channels of the Watonga Chikasha trend of western Oklahoma, and
structural traps in the Hunton carbonates of the northeastern portion of the
Anadarko Basin.
 
     Intermediate depth objectives in the Anadarko Basin can provide significant
reserve additions, as evidenced by Brigham's Lower Morrow discovery in its
Pistol Pete 3-D Project. The Company's largest
 
                                        8
<PAGE>   11
 
discovery to date, the Brigham-operated Christopher 84 #1, was completed in one
of four apparently productive Lower Morrow zones at approximately 12,000 feet,
and initially tested at 2.65 MMcfe per day with a flowing tubing pressure of
1,800 pounds per square inch. Brigham owns a 36.4% working interest in the well
and plans to drill two development wells in 1998 in which the Company will own
an average 63.7% working interest. Estimated reserves for this discovery and the
two development wells are 35.6 gross Bcfe, or 16.1 Bcfe net to Brigham.
 
     The deeper Anadarko Basin objectives provided Brigham's second largest
discovery to date, the Brigham operated Weise 28 #1 in its Jayhawk 3-D Project
in Wheeler County, Texas. This well represents Brigham's first significant
Hunton formation discovery. Drilled to a total depth of approximately 14,800
feet, the Weise 28 #1 tested at a calculated open flow rate of 128 MMcfe per day
and tested an initial production rate of 6.1 MMcfe per day. A development well
will be drilled on this discovery early in 1998. The Weise 28 #1 and its offset
are estimated to contain proved reserves of approximately 16 gross Bcfe, or 4.3
Bcfe net to Brigham. Brigham plans to drill several higher potential tests in
the deeper portions of the Anadarko Basin primarily in the Texas Panhandle and
far western Oklahoma in 1998.
 
     On November 12, 1997, Brigham acquired an interest in producing properties
and undeveloped acreage at the northern end of the Carter Knox anticline in
Grady County, Oklahoma (the "Chitwood Acquisition"). For $13.5 million, Brigham
acquired estimated net proved reserves totaling 21.3 Bcfe and received a 50%
working interest in 3,600 net acres of leasehold and 750 net mineral acres in
the Chitwood Acquisition. The properties were acquired from Mobil Oil
Corporation through Ward Petroleum Corporation ("Ward"), and Ward will act as
drilling operator. In 1998, Brigham and Ward plan to shoot a 30 square mile 3-D
seismic program over the area to delineate opportunities in the Springer, Big
Four, Bromide and Arbuckle formations. The Chitwood Acquisition overlaps and is
adjacent to Brigham's West Bradley 3-D Project, where Ward operates the majority
of the drilling operations.
 
     Gulf Coast. The onshore Gulf Coast region of south Texas and Louisiana is a
high potential, multi-pay province that lends itself to 3-D seismic exploration
due to its substantial structural and stratigraphic complexity. The Company has
assembled a digital data base including geographical, production, geophysical
and geological information that the Company evaluates on its CAEX workstations.
Working with consulting regional geologists the Company's explorationists
integrate this data with their extensive expertise and knowledge base to
generate 3-D projects in the Gulf Coast. Brigham's commitment to this province
is evidenced by the Company's staff additions, the opening of its Houston office
and the addition of ten new 3-D seismic projects in 1996 and 1997.
 
     The Company anticipates that its increased project assemblage and 3-D
seismic acquisition activity in the Gulf Coast will generate accelerated
drilling in this province in 1998 and 1999. The Company is currently assembling
projects in the Expanded Wilcox, Expanded Vicksburg and Yegua trends in South
Texas, the Miocene trend in South Texas and South Louisiana, and the Lower and
Middle Frio trends of South Texas.
 
     As of December 31, 1997, the Company had acquired or was acquiring 566
square miles (362,240 acres) of 3-D seismic data in seven projects in the
onshore Gulf Coast province. The Company anticipates acquiring 393 square miles
(251,520 acres) of additional 3-D seismic data in this province in 1998. As of
December 31, 1997, Brigham had completed 8 wells in 11 attempts (73% success
rate) in the Gulf Coast and had found cumulative proved reserves of 2.9 net
Bcfe. In 1997, the Company completed seven wells in 10 attempts with an average
working interest of 9% adding 2.9 net Bcfe of proved reserves. As of December
31, 1997, the Company had 110 3-D delineated potential drilling locations in the
Gulf Coast province, of which the Company intends to drill 17 gross (8.2 net)
wells in 1998.
 
     Brigham initiated its Gulf Coast effort in 1995 with the Esperson Dome
Project in Liberty County, Texas where the Company and its participants
currently control approximately 9,600 gross (7,500 net) acres through leases and
farmouts and have acquired 39 square miles of seismic data. The Esperson Dome
Project targets structurally trapped sands in the Miocene, Vicksburg and
Yegua/Cook Mountain series ranging in depth from 1,200 feet to 10,000 feet on a
complexly faulted salt dome feature. Ten wells have been drilled in the project
to date (one Miocene, three Yegua/Cook Mountain and six Vicksburg) yielding
seven discoveries. Brigham
 
                                        9
<PAGE>   12
 
currently maintains a small net profits interest in the Esperson Dome Project
that will convert to a variable back-in working interest of 12% to 20% in the
project after payout.
 
     Brigham's Welder Ranch and Caliente projects encompass an area covering
more than 400 square miles in Duval and Webb counties, Texas. Initially Brigham
participated in the acquisition of 48 square miles of 3-D seismic data over the
Welder Cabeza Ranch, where the Company controls a 100% working interest in a
seismic option on approximately 17,000 acres. The first well in the project, the
Brigham-operated Welder-State 212 #1, in which Brigham owns an 80% working
interest, was completed in February 1998, and tested naturally at a rate of 2.75
MMcf per day from the Lower Wilcox formation at 13,350 feet. Brigham currently
plans to drill four additional wells in this project in 1998. The Caliente
Project is a non-proprietary seismic program that covers an additional 362
square miles on which seismic data is currently being acquired. Brigham has
interpreted virtually all of the data covering the Welder Ranch Project and
approximately 25% of the data covering the Caliente Project, and has three
exploratory wells budgeted in this project for 1998.
 
     Another project in South Texas is Brigham's Diablo Project covering
approximately 4,000 acres in Brooks County, Texas. The Company acquired 25
square miles of proprietary 3-D seismic in 1997 and plans to shoot an additional
33 square miles in 1998. Brigham recently teamed up with a major oil company
that controls adjoining acreage to jointly explore on the combined acreage for
potential below 10,000 feet in the Vicksburg formation. Brigham has retained a
33% working interest in this deep joint exploration project. In prospective
zones above 10,000 feet, primarily the Frio, Brigham has retained a 100% working
interest in its original 4,000 acre lease block. The Company plans to drill
several wells in this project in 1998 to test the shallow Frio and deeper
Vicksburg objectives.
 
     In its Southwest Danbury Project in Brazoria County, Texas, Brigham is the
operator of a 13,000 foot Frio test that commenced drilling late in the first
quarter of 1998. Brigham retains a 46.1% working interest in this test, and
plans to drill several additional wells in this project in 1998.
 
     In May 1997, Brigham initiated its El Sauz Project with a seismic option
covering approximately 94,000 acres in Willacy and Kennedy counties, Texas. The
El Sauz Project is an underexplored area due north of the Willamar Field, which
has produced a cumulative 350 Bcfe from the Miocene and Frio sands. Brigham
expects to define Miocene and Frio sands at 6,000 to 10,000 feet, with
additional potential as deep as 18,000 feet. Reserve targets range from 5 to 20
Bcf per well. A 200 square mile 3-D seismic program over this acreage will be
initiated in early 1998, with initial drilling anticipated for early 1999.
Brigham plans to retain a 50% to 55% working interest in this project.
 
     Also in the Miocene/Frio trend of South Texas Brigham acquired a seismic
option covering approximately 28,000 acres in the Hawkins Ranch located in
Matagorda County, Texas. The Company will acquire approximately 90 square miles
of new proprietary 3-D seismic to merge with 65 square miles of speculative 3-D
data already in inventory. The region has potential in the shallow, nonpressured
Miocene and Frio sands as well as the deeper, pressured Frio sands.
Interpretation of the existing data is ongoing, with acquisition of new data
scheduled to begin in April 1998. Brigham plans to retain a 50% working interest
in this project.
 
     Brigham's first significant venture into South Louisiana, its Tigre Point
Project, is located in six feet of water in the transition zone off Vermilion
Parish. The project consists of 44 square miles of 3-D data covering a 7,200
acre lease block in Louisiana state waters, where Brigham currently controls a
75% working interest. The project will target the same series of sands that
produce in the prolific Freshwater Bayou field, located five miles to the north.
An 18,000 foot Lower Miocene test is scheduled for 1998, targeting greater than
200 Bcf of unrisked potential.
 
     West Texas. The Company's 3-D seismic drilling activity in the West Texas
region has been focused in the Horseshoe Atoll, the Midland Basin and the
Eastern Shelf of the Permian Basin and the Hardeman Basin. The Company plans to
continue drilling its locations in these areas. Recently the Company initiated
an exploration program in the Delaware Basin and increased its activity in
portions of geologic trends that the Company believes offer greater potential
for lower finding costs and higher returns, including the Ellenberger and
Devonian formations of the Delaware Basin and the Fusselman formation of the
Midland Basin.
 
                                       10
<PAGE>   13
 
     As of December 31, 1997, the Company had acquired or was acquiring 1,649
square miles (1,055,360 acres) in 74 projects in the West Texas region. The
Company anticipates acquiring 27 square miles (17,280 acres) of additional 3-D
seismic data in this province in 1998. As of December 31, 1997, Brigham had
completed 180 wells in 287 attempts (63% success rate) in the West Texas
province and had found cumulative proved reserves of 19.4 net Bcfe. In 1997, the
Company completed 19 wells in 34 attempts with an average working interest of
45% adding 1.7 net Bcfe of proved reserves. As of December 31, 1997, the Company
had 302 3-D delineated potential drilling locations in the West Texas region, of
which the Company intends to drill 31 gross (13.2 net) wells in 1998.
 
     One area in which the Company increased its activity is the Midland Basin,
where the Company has drilled five Fusselman discoveries to date. Currently the
most significant of these discoveries is the Elizabeth Rose field, with gross
proved reserves estimated by the Company's independent petroleum consultants at
December 31, 1997 of 1.5 MMBbls of oil. The Company has drilled five wells in
this Fusselman field that were producing an aggregate of approximately 890 Bbls
of oil per day in February 1998. Brigham's working interest in its five
Fusselman discoveries ranges from 18.75% to 91%. In 1998 the Company has
acquired 27 square miles of 3-D seismic data in three additional 3-D projects
adjacent to the Elizabeth Rose field and currently retains working interests of
100% in these projects.
 
     The Company completed three Canyon Reef discoveries during 1997 in its
Discovery Project located in the Horseshoe Atoll Trend. This project, in which
Brigham currently retains a working interest of 75%, targets oil producing
Canyon-age reef objectives at depths of approximately 9,500 feet. The Company's
three 1997 discoveries in its Discovery Project were producing an aggregate of
approximately 200 Bbls of oil and 900 Mcf of natural gas per day in February
1998. Brigham plans to drill three additional wells in its Discovery Project
during 1998.
 
     Among Brigham's higher potential, higher risk projects in its West Texas
province are its Buffalo and Longhorn projects, located in the Delaware Basin,
in which the Company owns a 25% working interest. From two 3-D programs covering
approximately 137 square miles acquired in 1996 and 1997, the Company has
identified numerous potential 3-D delineated drilling locations and has leased
over 6,400 gross (1,600 net) acres. These projects are surrounded by prolific
production from the Devonian and Ellenberger formations at depths of 15,000 to
21,000 feet, in fields such as Evetts (approximately 600 Bcf of natural gas to
date from 16 wells) and War Wink South (approximately 295 Bcf of natural gas to
date from eight wells). The Company plans to spud a deep test in its Longhorn
Project during 1998.
 
NATURAL GAS AND OIL RESERVES
 
     The Company's estimated total net proved reserves of natural gas and oil as
of December 31, 1995, 1996 and 1997 and the present values attributable to these
reserves as of those dates were as follows:
 
<TABLE>
<CAPTION>
                                                             AS OF DECEMBER 31,
                                                        -----------------------------
                                                         1995      1996(1)     1997
                                                        -------    -------    -------
<S>                                                     <C>        <C>        <C>
Estimated net proved reserves:
  Natural gas (MMcf)..................................    4,257     10,257     53,230
  Oil (MBbls).........................................    1,672      1,940      3,181
  Natural gas equivalent (MMcfe)......................   14,289     21,897     72,316
Proved developed reserves as a percentage of proved
  reserves............................................       80%        67%        65%
Present Value of Future Net Revenues(2) (in
  thousands)..........................................  $18,222    $44,506    $69,249
Standardized Measure of Discounted Future Net Cash
  Flows(3)(in thousands)..............................  $18,222    $44,506    $64,274
</TABLE>
 
- ---------------
 
(1) Net of a sale by the Company in January 1996 of its interest in certain
    properties that accounted for 299 MMcf of natural gas and 272 MBbls of oil
    (1,931 MMcfe of proved reserves) as of December 31, 1995.
 
                                       11
<PAGE>   14
 
(2) The Present Value of Future Net Revenues attributable to the Company's
    reserves was prepared using prices in effect at the end of the respective
    periods presented, discounted at 10% per annum on a pre-tax basis. These
    amounts reflect the effects of the Company's hedging activities in the
    periods presented.
 
(3) The Standardized Measure of Discounted Future Net Cash Flows prepared by the
    Company represents the present value of future net revenues after income
    taxes discounted at 10%. These amounts reflect the effects of the Company's
    hedging activities in the periods presented.
 
     The average prices for the Company's reserves were $1.85 per Mcf of natural
gas and $18.22 per Bbl of oil as of December 31, 1995, and $3.62 per Mcf of
natural gas and $24.66 per Bbl of oil as of December 31, 1996 and $2.11 per Mcf
of natural gas and $16.64 per Bbl of oil as of December 31, 1997.
 
     In accordance with applicable requirements of the SEC, estimates of the
Company's proved reserves and future net revenues are made using sales prices
estimated to be in effect as of the date of such reserve estimates and are held
constant throughout the life of the properties (except to the extent a contract
specifically provides for escalation). Estimated quantities of proved reserves
and future net revenues therefrom are affected by natural gas and oil prices,
which have fluctuated widely in recent years. At December 31, 1997, the date as
of which the Company's reserves and present value data were estimated, the
prices of natural gas and oil on the NYMEX were $2.26 per MMBtu and $17.64 per
Bbl, respectively. From January 1, 1998 through March 24, 1998, the price of
natural gas on the NYMEX ranged from $2.00 per MMBtu to $2.38 per MMBtu and the
price of oil on the NYMEX ranged from $13.21 per Bbl to $17.82 per Bbl. There
are numerous uncertainties inherent in estimating oil and natural gas reserves
and their estimated values, including many factors beyond the control of the
Company. The reserve data set forth herein represents only estimates. Reservoir
engineering is a subjective process of estimating underground accumulations of
oil and natural gas that cannot be measured in an exact manner. The accuracy of
any reserve estimate is a function of the quality of available data and of
engineering and geologic interpretation and judgment. As a result, estimates of
different engineers, including those used by the Company, may vary. In addition,
estimates of reserves are subject to revision based upon actual production,
results of future development and exploration activities, prevailing oil and
natural gas prices, operating costs and other factors. The revisions may be
material. Accordingly, reserve estimates are often different from the quantities
of oil and natural gas that are ultimately recovered and are highly dependent
upon the accuracy of the assumptions upon which they are based. The Company's
estimated proved reserves have not been filed with or included in reports to any
federal agency. See "Item 7. Management's Discussion and Analysis of Financial
Condition and Results of Operations -- Risk Factors -- Uncertainty of Reserve
Information and Future Net Revenue Estimates."
 
     Estimates with respect to proved reserves that may be developed and
produced in the future are often based upon volumetric calculations and upon
analogy to similar types of reserves rather than actual production history.
Estimates based on these methods are generally less reliable than those based on
actual production history. Subsequent evaluation of the same reserves based upon
production history will result in variations in the estimated reserves that may
be substantial.
 
                                       12
<PAGE>   15
 
DRILLING ACTIVITIES
 
     The Company drilled, or participated in the drilling of, the following
number of wells during the periods indicated.
 
<TABLE>
<CAPTION>
                                                              YEAR ENDED DECEMBER 31,
                                                  -----------------------------------------------
                                                      1995             1996             1997
                                                  -------------    -------------    -------------
                                                  GROSS    NET     GROSS    NET     GROSS    NET
                                                  -----    ----    -----    ----    -----    ----
<S>                                               <C>      <C>     <C>      <C>     <C>      <C>
Exploratory Wells:
  Natural gas...................................    5       1.2      5       1.2     15       6.3
  Oil...........................................   37       8.1     22       5.2     21       7.9
  Non-productive................................   32       8.7     24       7.0     26       9.8
                                                   --      ----     --      ----     --      ----
          Total.................................   74      18.0     51      13.4     62      24.0
                                                   ==      ====     ==      ====     ==      ====
Development Wells:
  Natural gas...................................   --        --     10       1.3      4       1.6
  Oil...........................................    4       0.5      5       1.0      6       1.8
  Non-productive................................   --        --      1       0.2      1       0.6
                                                   --      ----     --      ----     --      ----
          Total.................................    4       0.5     16       2.5     11       4.0
                                                   ==      ====     ==      ====     ==      ====
</TABLE>
 
     The Company does not own any drilling rigs, and the majority of its
drilling activities have been conducted by industry participant operators or
independent contractors under standard drilling contracts. Consistent with its
business strategy, the Company has chosen to retain operations of an increasing
number of the wells it drills and expects to continue to operate more wells in
1998.
 
PRODUCTIVE WELLS AND ACREAGE
 
  Productive Wells
 
     The following table sets forth the Company's ownership interest as of
December 31, 1997 in productive natural gas and oil wells in the areas
indicated.
 
<TABLE>
<CAPTION>
                                          NATURAL GAS           OIL             TOTAL
                                        ---------------    -------------    -------------
                                        GROSS     NET      GROSS    NET     GROSS    NET
                                        -----    ------    -----    ----    -----    ----
<S>                                     <C>      <C>       <C>      <C>     <C>      <C>
Province:
  Anadarko Basin......................   43        13.0       5      1.2      48     14.2
  Gulf Coast..........................    1         0.0       5      0.1       6      0.1
  West Texas..........................    2         0.7      91     24.5      93     25.2
  Other...............................   --          --       1      0.5       1      0.5
                                         --      ------     ---     ----     ---     ----
          Total.......................   46        13.7     102     26.3     148     40.0
                                         ==      ======     ===     ====     ===     ====
</TABLE>
 
     Productive wells consist of producing wells and wells capable of
production, including wells waiting on pipeline connection. Wells that are
completed in more than one producing horizon are counted as one well. Of the
gross wells reported above, none had multiple completions.
 
  Acreage
 
     Undeveloped acreage includes leased acres on which wells have not been
drilled or completed to a point that would permit the production of commercial
quantities of oil and natural gas, regardless of whether or not such acreage
contains proved reserves. A gross acre is an acre in which an interest is owned.
A net acre is deemed to exist when the sum of fractional ownership interests in
gross acres equals one. The number of net acres is the sum of the fractional
interests owned in gross acres expressed as whole numbers and fractions
 
                                       13
<PAGE>   16
 
thereof. The following table sets forth the approximate developed and
undeveloped acreage in which the Company held a leasehold, mineral or other
interest at December 31, 1997:
 
<TABLE>
<CAPTION>
                                  DEVELOPED         UNDEVELOPED            TOTAL
                                --------------   -----------------   -----------------
                                GROSS     NET     GROSS      NET      GROSS      NET
                                ------   -----   -------   -------   -------   -------
<S>                             <C>      <C>     <C>       <C>       <C>       <C>
Province:
  Anadarko Basin..............  16,600   7,716    75,377    32,181    91,977    39,897
  Gulf Coast..................      --      --    18,588    14,902    18,588    14,902
  West Texas..................   6,035   1,794    19,957    11,517    25,992    13,311
  Other.......................     160      80   145,295    51,546   145,455    51,626
                                ------   -----   -------   -------   -------   -------
          Total...............  22,795   9,590   259,217   110,146   282,012   119,736
                                ======   =====   =======   =======   =======   =======
</TABLE>
 
     All the leases for the undeveloped acreage summarized in the preceding
table will expire at the end of their respective primary terms unless the
existing leases are renewed, production has been obtained from the acreage
subject to the lease prior to that date, or some other "savings clause" is
implicated. The following table sets forth the minimum remaining terms of leases
for the gross and net undeveloped acreage:
 
<TABLE>
<CAPTION>
                                                                ACRES EXPIRING
                                                              ------------------
                                                               GROSS       NET
                                                              -------    -------
<S>                                                           <C>        <C>
Twelve Months Ending:
  December 31, 1998.........................................  120,186     46,491
  December 31, 1999.........................................   65,254     30,857
  December 31, 2000.........................................   51,984     24,263
  Thereafter................................................   21,793      8,535
                                                              -------    -------
          Total.............................................  259,217    110,146
                                                              =======    =======
</TABLE>
 
     In addition, the Company had lease options as of December 31, 1997 to
acquire an additional 254,699 acres, substantially all of which expire within
one year.
 
VOLUMES, PRICES AND PRODUCTION COSTS
 
     The following table sets forth the production volumes, average prices
received and average production costs associated with the Company's sale of oil
and natural gas for the periods indicated.
 
<TABLE>
<CAPTION>
                                                            YEAR ENDED DECEMBER 31,
                                                           --------------------------
                                                            1995      1996      1997
                                                           ------    ------    ------
<S>                                                        <C>       <C>       <C>
Production:
  Natural gas (MMcf).....................................     272       698     1,382
  Oil (MBbls)............................................     177       227       291
  Natural gas equivalent (MMcfe).........................   1,332     2,060     3,126
Average sales price(1):
  Natural gas (per Mcf)..................................  $ 1.62    $ 2.30    $ 2.56
  Oil (per Bbl)..........................................  $17.76    $19.98    $19.40
Average production expenses and taxes (per Mcfe).........  $  .69    $  .53    $  .55
</TABLE>
 
- ---------------
 
(1) Reflects the results of hedging activities in the periods presented.
 
                                       14
<PAGE>   17
 
COSTS INCURRED
 
     The costs incurred in oil and natural gas acquisition, exploration and
development activities are as follows (in thousands):
 
<TABLE>
<CAPTION>
                                                           YEAR ENDED DECEMBER 31,
                                                         ----------------------------
                                                          1995      1996       1997
                                                         ------    -------    -------
<S>                                                      <C>       <C>        <C>
Cost incurred for the year:
  Exploration..........................................  $6,893    $10,527    $29,421
  Property acquisition.................................   1,885      6,195     26,922
  Development..........................................     713      1,328      2,953
  Proceeds from participants...........................  (1,296)    (4,111)      (319)
                                                         ------    -------    -------
                                                         $8,195    $13,939    $58,977
                                                         ======    =======    =======
</TABLE>
 
     Costs incurred represent amounts incurred by the Company for exploration,
property acquisition and development activities. Periodically, the Company will
receive reimbursement of certain costs from participants in its projects
subsequent to project initiation in return for an interest in the project. These
payments are described as "Proceeds from participants" in the table above.
 
ITEM 3. LEGAL PROCEEDINGS
 
     The Company is not a party to any material pending legal proceedings other
than ordinary routine litigation incidental to the Company's business.
 
ITEM 4. EXECUTIVE OFFICERS OF THE REGISTRANT
 
     Pursuant to Instruction 3 to Item 401(b) of the Regulation S-K and General
Instruction G(3) to Form 10-K, the following information is included in Part I
of this report.
 
     The following table sets forth certain information concerning the executive
officers of the Company as of December 31, 1997:
 
<TABLE>
<CAPTION>
                 NAME                   AGE                   POSITION
                 ----                   ---                   --------
<S>                                     <C>    <C>
Ben M. Brigham........................  38     Chief Executive Officer and President
Anne L. Brigham.......................  36     Executive Vice President
Jon L. Glass..........................  42     Vice President -- Exploration
Craig M. Fleming......................  40     Chief Financial Officer
David T. Brigham......................  37     Vice President -- Land and
                                               Administration, Corporate Secretary
A. Lance Langford.....................  35     Vice President -- Operations
Karen E. Lynch........................  36     Vice President and General Counsel
</TABLE>
 
     Set forth below is a description of the backgrounds of the executive
officers of the Company.
 
     Ben M. "Bud" Brigham has served as Chief Executive Officer, President and
Chairman of the Board of the Company since founding the Company in 1990. From
1984 to 1990, Mr. Brigham served as an exploration geophysicist with Rosewood
Resources, an independent oil and gas exploration and production company. Mr.
Brigham began his career in Houston as a seismic data processing geophysicist
for Western Geophysical, a provider of 3-D seismic services, after earning his
B.S. in Geophysics from the University of Texas.
 
     Anne L. Brigham has served as Executive Vice President and a Director of
the Company since its inception in 1990 and as Corporate Secretary from 1990 to
February 1998. Before joining the Company full-time in 1991, Ms. Brigham
practiced law in the oil and gas and real estate sections of Thompson & Knight,
P.C. Ms. Brigham worked as a geologist for Hunt Petroleum Corporation, an
independent oil and gas exploration and production company, for over two years
before attending law school. Ms. Brigham holds a B.S. in Geology from the
University of Texas and a J.D. from Southern Methodist University.
 
                                       15
<PAGE>   18
 
     Jon L. Glass joined the Company in 1992 and has served as Vice
President -- Exploration since 1994 and a Director of the Company since 1995.
From 1984 to 1992, Mr. Glass served in various capacities with Santa Fe
Minerals, an oil and gas exploration company, in a variety of staff and
managerial positions mainly focused on Santa Fe Minerals' exploration activities
in the midcontinent and Gulf of Mexico (onshore and offshore). During this time
Mr. Glass also assisted in the development of exploration and acquisition
opportunities for Santa Fe Minerals in Canada and South America. Mr. Glass'
early geological experience includes three years with Mid-America Pipeline
Company and two years with Texaco USA, serving mainly as a midcontinent
exploration geologist. Mr. Glass holds a B.S. and an M.S. in Geology from
Oklahoma State University and an M.B.A. from the University of Tulsa.
 
     Craig M. Fleming has served as the Chief Financial Officer of the Company
since 1993. From 1990 to 1993, Mr. Fleming served as Controller of Odyssey
Petroleum Co., Ltd., an independent energy company. From 1988 to 1990, Mr.
Fleming served as Controller and Treasurer for Harken Exploration Company, an
independent energy company. Mr. Fleming began his career with Arthur Anderson &
Co. in the Oil and Gas Audit Division and is a Certified Public Accountant. Mr.
Fleming holds a B.B.A. in Accounting from Texas A&M University.
 
     David T. Brigham joined the Company in 1992 and has served as Vice
President -- Land and Administration and Corporate Secretary of the Company
since February 1998. Mr. Brigham served as Vice President -- Legal of the
Company from 1994 until February 1998. From 1987 to 1992, Mr. Brigham was an oil
and gas attorney with Worsham, Forsythe, Sampels & Wooldridge. Before attending
law school, Mr. Brigham was a landman for Wagner & Brown Oil and Gas Producers,
an independent oil and gas exploration and production company. Mr. Brigham holds
a B.B.A. in Petroleum Land Management from the University of Texas and a J.D.
from Texas Tech School of Law.
 
     A. Lance Langford joined the Company as Manager of Operations in 1995 and
has served as Vice President -- Operations since January 1997. From 1987 to
1995, Mr. Langford served in various engineering capacities with Meridian Oil
Inc., handling a variety of reservoir, production and drilling responsibilities.
Mr. Langford holds a B.S. in Petroleum Engineering from Texas Tech University.
 
     Karen E. Lynch joined the Company in October 1997 as General Counsel and
has served as Vice President and General Counsel of the Company since February
1998. Prior to joining the Company, Ms. Lynch was a shareholder in the
Dallas-based law firm of Thompson & Knight, P.C., where she practiced in the
energy area since joining the firm in 1987. Ms. Lynch holds a B.B.A. in
Petroleum Land Management from the University of Texas and a J.D. from the
University of Oklahoma.
 
                                       16
<PAGE>   19
 
                                    PART II
 
ITEM 5. MARKET FOR REGISTRANT'S COMMON EQUITY AND RELATED STOCKHOLDER MATTERS
 
     The Company's Common Stock (the "Common Stock") has been publicly traded on
The Nasdaq Stock Market(SM) under the symbol "BEXP" since the Company's initial
public offering effective May 8, 1997. The following table summarizes the high
and low sales prices on The Nasdaq Stock Market(SM) for each quarterly period
since the Company's initial public offering:
 
<TABLE>
<CAPTION>
                                                                COMMON STOCK
                                                              ----------------
                                                               HIGH      LOW
                                                              ------    ------
<S>                                                           <C>       <C>
1997:
Second Quarter (from May 9, 1997)...........................  $ 8.75    $ 7.00
Third Quarter...............................................  $14.31    $ 8.25
Fourth Quarter..............................................  $17.13    $12.00
</TABLE>
 
     The closing market price of the Company's Common Stock on March 24, 1998
was $12.88 per share. As of March 24, 1998, the Company estimates that there
were more than 60 record and 900 beneficial owners of the Company's Common
Stock.
 
     No dividends have been declared or paid on the Company's Common Stock to
date. The Company intends to retain all future earnings for the development of
its business.
 
                                       17
<PAGE>   20
 
ITEM 6. SELECTED FINANCIAL DATA
 
     The following selected consolidated financial data should be read in
conjunction with "Item 7. Management's Discussion and Analysis of Financial
Condition and Results of Operations" and the Company's consolidated financial
statements and related notes included in "Item 8. Financial Statements and
Supplementary Data."
 
<TABLE>
<CAPTION>
                                                                            YEAR ENDED DECEMBER 31,
                                                              ---------------------------------------------------
                                                               1993        1994      1995       1996       1997
                                                              -------     -------   -------   --------   --------
<S>                                                           <C>         <C>       <C>       <C>        <C>
STATEMENT OF OPERATIONS DATA:
  Revenues:
    Natural gas and oil sales...............................  $   937     $ 2,565   $ 3,578   $  6,141   $  9,184
    Workstation revenue.....................................      467         815       635        627        637
                                                              -------     -------   -------   --------   --------
        Total revenues......................................    1,404       3,380     4,213      6,768      9,821
  Costs and expenses:
    Lease operating.........................................      111         491       761        726      1,151
    Production taxes........................................       47         126       165        362        549
    General and administrative..............................    1,433       1,785     1,897      2,199      3,570
    Depletion of natural gas and oil properties.............    4,371(1)    1,104     1,626      2,323      2,732
    Depreciation and amortization...........................      406         561       533        487        582
                                                              -------     -------   -------   --------   --------
        Total costs and expenses............................    6,368       4,067     4,982      6,097      8,584
                                                              -------     -------   -------   --------   --------
  Operating income (loss)...................................   (4,964)       (687)     (769)       671      1,237
  Other income (expense):
    Interest income.........................................        6          56       128         52        145
    Interest expense........................................     (105)       (668)     (936)    (1,173)    (1,190)
                                                              -------     -------   -------   --------   --------
        Total other income (expense)........................      (99)       (612)     (808)    (1,121)    (1,045)
  Net income (loss) before income taxes.....................   (5,063)     (1,299)   (1,577)      (450)       192
  Income tax expense, net...................................       --          --        --         --     (1,228)(2)
                                                              -------     -------   -------   --------   --------
        Net loss............................................  $(5,063)    $(1,299)  $(1,577)  $   (450)  $ (1,036)
                                                              =======     =======   =======   ========   ========
  Net loss per share -- basic/diluted.......................  $ (0.57)    $ (0.15)  $ (0.18)  $  (0.05)  $  (0.09)
                                                              =======     =======   =======   ========   ========
  Weighted average shares outstanding -- basic/diluted......    8,929       8,929     8,929      8,929     11,081
STATEMENT OF CASH FLOWS DATA:
  Net cash provided by (used in) operating activities.......  $  (730)    $   626   $ 1,383   $  3,710   $  9,806
  Net cash used in investing activities.....................   (6,983)     (5,463)   (8,005)   (11,796)   (57,300)
  Net cash provided by financing activities.................    7,839       4,634     7,724      7,731     47,748
OTHER FINANCIAL DATA:
  Capital expenditures......................................  $ 6,632     $ 5,445   $ 7,935     13,612   $ 57,170
  EBITDA(3).................................................     (187)        978     1,390      3,481      4,551
  Operating cash flow(4)....................................     (286)        366       582      2,360      3,506
</TABLE>
 
<TABLE>
<CAPTION>
                                                                             AS OF DECEMBER 31,
                                                              -------------------------------------------------
                                                               1993        1994      1995      1996      1997
                                                              -------     -------   -------   -------   -------
<S>                                                           <C>         <C>       <C>       <C>       <C>
BALANCE SHEET DATA:
  Cash and cash equivalents.................................  $   903     $   700   $ 1,802   $ 1,447   $ 1,701
  Natural gas and oil properties, net.......................    7,803      11,970    18,538    28,005    84,176
  Total assets..............................................   14,003      15,781    22,916    33,614    92,401
  Notes payable.............................................    3,000       7,950    16,000    24,000    32,000
  Total equity..............................................    6,570       5,271     3,694     3,244    43,153
</TABLE>
 
- ---------------
 
(1) Includes a capitalized ceiling impairment of $3.3 million in 1993.
 
(2) Includes a net $1.2 million ($0.10 per share) non-cash deferred income tax
    charge related to the Company's conversion from a partnership to a
    corporation in 1997.
 
(3) EBITDA represents net income (loss) plus income taxes, net interest expense
    and depreciation, depletion and amortization expense. EBITDA should not be
    considered in isolation or as a substitute for net income, cash flows from
    operating activities or any other measure of financial performance prepared
    in accordance with generally accepted accounting principles or as a measure
    of a company's profitability or liquidity.
 
(4) Operating cash flow represents net income (loss) plus DD&A expenses,
    deferred income taxes and other non-cash items. Operating cash flow should
    not be considered in isolation or as a substitute for net income, cash flows
    from operating activities or any other measure of financial performance
    prepared in accordance with generally accepted accounting principles or as a
    measure of a company's profitability or liquidity.
 
                                       18
<PAGE>   21
 
ITEM 7. MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS
        OF OPERATIONS
 
OVERVIEW
 
     The Company is an independent exploration and production company that
applies 3-D seismic imaging and other advanced technologies to systematically
explore and develop onshore domestic oil and natural gas provinces. From
inception in 1990 through December 31, 1997, Brigham has acquired 4,005 square
miles of 3-D seismic, identified 1,170 potential drilling locations and drilled
370 wells delineated by 3-D seismic analysis. The Company believes this
performance demonstrates a systematic methodology for finding oil and natural
gas in onshore domestic oil and natural gas provinces.
 
     Combining its geologic and geophysical expertise with a sophisticated land
effort, the Company manages the majority of its projects from conception through
3-D acquisition, processing and interpretation and leasing. Because it generates
most of its projects, the Company can control the size of the working interest
that it retains as well as the selection of the operator and the non-operating
participants. Additionally, the Company manages the negotiation and drafting of
most of its geophysical exploration agreements, resulting in reduced contract
risk and more consistent deal terms. In 1995, the Company began to manage
operations, on a limited basis, through the drilling and production phases. The
Company had discovered an aggregate of 60.9 Bcfe of net proved reserves as of
December 31, 1997. Brigham continues to increase the working interest it retains
in its projects, based on capital availability and perceived risk. The Company's
average working interest in its wells drilled during 1995, 1996 and 1997 was
24%, 24% and 38%, respectively.
 
     Expenditures made in oil and natural gas exploration vary from project to
project depending primarily on the costs related to land, seismic acquisition,
drilling costs and the working interest retained by the Company. Historically,
the Company's participants have borne a disproportionate share of the costs of
optioning available acreage and acquiring, processing and interpreting the 3-D
seismic data, and the Company and its participants each bear leasing, drilling
and completion costs in proportion to their ownership interests. Brigham
currently intends to retain working interests between 75% and 100% in its
current 3-D seismic projects, thereby reducing the financial leverage it has
historically received on the costs of optioning available acreage and acquiring,
processing and interpreting the 3-D seismic data and increasing its working
interests during the drilling phase.
 
     From inception through 1993, the Company acquired 1,373 square miles of 3-D
seismic in 63 projects. The majority of the Company's 3-D seismic acquisitions
were concentrated in the Horseshoe Atoll and Eastern Shelf of the Permian Basin
and the Hardeman Basin of West Texas. The Company drilled seventy-nine 3-D
delineated wells during this period, increasing its revenues from oil and
natural gas production to $936,634 in 1993. The Company's production volumes
consisted of 85% oil on an equivalent basis. The Company's average working
interest in these wells was 14%. In 1992, the Company increased its capacity to
finance its project generation and drilling activities through a $10 million
private placement of equity. This financing partially funded the Company's
acquisition of 908 square miles of 3-D seismic data in 32 projects in 1993,
which contributed to the Company's reserve growth in subsequent years. The
Company also issued $3 million of 10% senior secured general obligation notes
(the "10% Notes") in 1993.
 
     During 1994, the Company acquired 423 square miles of 3-D seismic in 16
projects, primarily in the Horseshoe Atoll and Eastern Shelf areas of the
Permian Basin, the Hardeman Basin and the Anadarko Basin. The Company drilled
seventy-three 3-D delineated wells, increasing its revenues from oil and natural
gas production to $2.6 million. The Company's production volumes consisted of
84% oil on an equivalent basis. The Company's average working interest in wells
drilled in 1994 was 23%. To finance its project generation and drilling
activities, the Company supplemented cash flow from operations with capital from
the issuance of $4.9 million of its 10% Notes and the placement of working
interests in projects to industry participants. The Company's acquisition of
seismic data declined in 1994 compared to previous years as the Company
allocated a greater portion of its capital expenditure budget to drilling 3-D
delineated locations.
 
     During 1995, the Company significantly expanded its efforts in the Anadarko
Basin of Texas and Oklahoma by acquiring 195 square miles of 3-D seismic in four
projects in this basin, and initiated its exploration program in the Gulf Coast
with the Esperson Dome Project (39 square miles of 3-D seismic). The
 
                                       19
<PAGE>   22
 
Company also continued its efforts in the Horseshoe Atoll and Eastern Shelf
areas of the Permian Basin and the Hardeman Basin by acquiring 77 square miles
of 3-D seismic. The Company drilled seventy-eight 3-D delineated wells,
increasing its revenues from oil and natural gas production to $3.6 million. The
Company's production volumes consisted of 80% oil on an equivalent basis. The
Company's average working interest in wells drilled in 1995 was 24%. To finance
its project generation and drilling activities the Company supplemented cash
flow from operations with capital from the issuance of $2.6 million of the 10%
Notes, the issuance of $16 million principal amount of its 5% convertible
unsecured subordinated notes (the "5% Notes") and the placement of working
interests in projects to industry participants. The Company used $10.5 million
of the proceeds from the issuance of the 5% Notes to retire the then outstanding
balance of the 10% Notes.
 
     During 1996, the Company acquired 655 square miles of 3-D seismic data and
continued to focus the majority of its 3-D exploration efforts in the Anadarko
Basin and the Gulf Coast. The Company acquired 457 square miles (70%) of the 3-D
seismic data in eight projects in the Anadarko Basin, making this basin the most
active 3-D acquisition province for the Company in 1996. Brigham also
significantly increased its Gulf Coast activity, adding eight 3-D projects, and
continued to expand its operations through staff additions and opening a Houston
office in January 1997. While an increasing portion of the Company's capital was
dedicated to 3-D seismic and land acquisition and subsequent drilling in the
Anadarko Basin and the Gulf Coast, the Company continued to allocate a
significant amount of capital to the drilling of its 3-D delineated locations in
the West Texas region. During 1996, the Company drilled sixty-seven 3-D
delineated wells, increasing its revenues from oil and natural gas production to
$6.1 million. The Company's production volumes consisted of 66% oil on an
equivalent basis. The Company's average working interest in wells drilled in
1996 was 24%. The Company's fourth quarter 1996 revenue from oil and natural gas
production increased to $1.9 million from $955,000 in the fourth quarter of
1995. The Company supplemented cash flow from operations with borrowings under
its revolving credit facility with Bank One, Texas NA (the "Bank One Facility"),
the sale of producing properties and the placement of working interests in
projects to industry participants to finance its project generation and drilling
activities.
 
     In 1997, the Company acquired 1,243 square miles of 3-D seismic data and
continued to focus the majority of its 3-D exploration efforts in the Anadarko
Basin and the Gulf Coast. The Company acquired 648 square miles (52%) of the 3-D
seismic data in nine projects in the Anadarko Basin, making this basin the most
active 3-D acquisition province for the Company again in 1997. Brigham also
significantly increased its Gulf Coast activity, acquiring 412 square miles
(33%) of 3-D seismic data in four projects. Reflecting a continued increase in
the Company's 3-D seismic and land acquisition and subsequent drilling in the
Anadarko Basin and the Gulf Coast, the Company's change in geographic focus has
resulted in a larger percentage of its reserves and production consisting of
natural gas. During 1997, the Company drilled seventy-three 3-D delineated
wells, increasing its revenues from oil and natural gas production to $9.1
million. The Company's production volumes consisted of 44% natural gas on an
equivalent basis. The Company's average working interest in wells drilled in
1997 was 38%. The Company's fourth quarter 1997 revenue from oil and natural gas
production increased to $3.2 million from $1.9 million in the fourth quarter of
1996, while its production volumes consisted of 53% natural gas during the
fourth quarter 1997 as compared with 36% during the prior year period. The
Company supplemented cash flow from operations with borrowings under its Bank
One Facility, $25 million of equity capital raised in its initial public
offering of common stock in May 1997 and the placement of working interests in
projects to industry participants to finance its project generation, property
acquisition and drilling activities.
 
     The Company uses the full-cost method of accounting for its oil and natural
gas properties. Under this method, all acquisition, exploration and development
costs, including certain internal costs that are directly attributable to the
Company's acquisition, exploration and development activities, are capitalized
in the amortizable base of the "full-cost pool" as incurred. Upon the
interpretation by the Company of the 3-D seismic data associated with unproved
properties, the geological and geophysical costs of acreage that is not
specifically identified as prospective are transferred to the amortizable base.
Geological and geophysical costs associated with prospective acreage, as well as
leasehold costs, are transferred to the amortizable base when the prospects are
drilled. The Company records depletion of its full-cost pool using the unit of
 
                                       20
<PAGE>   23
 
production method. To the extent that the costs capitalized in the full-cost
pool (net of depreciation, depletion and amortization and related deferred
taxes) exceed the present value (using a 10% discount rate) of estimated future
net after-tax cash flows from proved oil and natural gas reserves plus the
capitalized cost of unproved properties, such costs are charged to operations.
Once incurred, a write-down of oil and natural gas properties is not reversed at
a later date. See Note 2 of Notes to the Consolidated Financial Statements.
 
     In connection with the exchange prior to the Company's initial public
offering of interests in the Company's predecessor partnership of shares of the
Company's Common Stock (the "Exchange") in 1997, the Company issued options to
purchase 644,097 shares of Common Stock to certain of its officers and
employees. The Company recorded an unearned stock compensation balance of $1.9
million in the first quarter 1997, of which approximately one-half will be added
to the amortizable base of the full-cost pool over the vesting period of the
options and the balance will be recorded as a noncash compensation expense over
the vesting period of the options. As a result, the Company expects to incur
unearned stock compensation amortization expenses of approximately $272,000 in
1998, $159,000 in 1999 and an aggregate of $192,000 in the four years
thereafter.
 
     The Company's predecessor was classified as a partnership for federal
income tax purposes. Therefore, no income taxes were paid or provided for by the
Company prior to the Exchange. The Company is a taxable entity. In connection
with the Exchange on February 27, 1997, the Company incurred a $5 million charge
to record a deferred income tax liability to recognize the differences between
the financial statement basis and tax basis of the Company's predecessor
partnership's natural gas and oil properties at the date of the Exchange, given
the provisions of enacted tax laws. During the fourth quarter 1997, the Company
elected to record a step-up in the basis of its assets for tax purposes as a
result of the Exchange. Due to this election, the Company recorded a $3.8
million non-cash deferred income tax benefit during the fourth quarter 1997,
which resulted in a net $1.2 million non-cash deferred income tax charge for the
year ended December 31, 1997.
 
RESULTS OF OPERATIONS
 
     The following table sets forth certain operating data for the periods
presented.
 
<TABLE>
<CAPTION>
                                                               YEAR ENDED DECEMBER 31,
                                                              --------------------------
                                                               1995      1996      1997
                                                              ------    ------    ------
<S>                                                           <C>       <C>       <C>
Production:
  Natural gas (MMcf)........................................     272       698     1,382
  Oil (MBbls)...............................................     177       227       291
  Natural gas equivalent (MMcfe)............................   1,332     2,060     3,126
Average sales prices per unit (1):
  Natural gas (per Mcf).....................................  $ 1.62    $ 2.30    $ 2.56
  Oil (per Bbl).............................................   17.76     19.98     19.40
  Natural gas equivalent (per Mcfe).........................    2.69      2.98      2.94
Costs and expenses per Mcfe:
  Lease operating...........................................  $ 0.57    $ 0.35    $ 0.37
  General and administrative................................    1.42      1.07      1.14
  Depletion of oil and natural gas properties...............    1.22      1.13      0.87
</TABLE>
 
- ---------------
 
(1) Reflects the effects of the Company's hedging activities. See "Management's
    Discussion and Analysis of Financial Condition and Results of
    Operations -- Other Matters -- Hedging Activities."
 
  Year Ended December 31, 1997 Compared to Year Ended December 31, 1996
 
     Natural gas and oil sales. Natural gas and oil sales increased 50% from
$6.1 million in 1996 to $9.2 million in 1997. Production volume increases
accounted for $3.2 million (104%) of this increase and were offset by $134,000
(4%) from a decrease in the average sales price received for natural gas and
oil. Production volumes for natural gas increased 98% from 698,036 Mcf in 1996
to 1,381,996 Mcf in 1997. The average price received for natural gas increased
11% from $2.30 per Mcf in 1996 to $2.56 per Mcf in 1997. Production
 
                                       21
<PAGE>   24
 
volumes for oil increased 28% from 226,925 Bbls in 1996 to 290,624 Bbls in 1997.
The average price received for oil decreased 3% from $19.98 per Bbl in 1996 to
$19.40 per Bbl in 1997. Oil and natural gas sales were increased by production
from 46 wells completed in 1997, which was partially offset by the natural
decline of existing production. Hedging activities in 1997 reduced the amount by
which oil revenues increased by $6,191, compared to a decrease in oil revenues
of $301,280 as a result of hedging activities in 1996.
 
     Workstation revenue. Workstation revenue increased 2% from $627,255 in 1996
to $636,702 in 1997. Workstation revenue is recognized by Brigham as industry
participants in the Company's seismic programs are charged an hourly rate for
the work performed by the Company on its 3-D seismic interpretation
workstations. The Company expects workstation revenue to decline in 1998 due to
the Company's increasing its working interest in the square miles of 3-D seismic
acquired beginning in 1997, reducing the net hours billed to its participants.
 
     Lease operating expenses. Lease operating expenses increased 59% from
$725,785 ($.35 per Mcfe) in 1996 to $1,151,238 ($.37 per Mcfe) in 1997. The
increase was primarily due to an increase in producing wells during the year.
 
     General and administrative expenses. General and administrative expenses
increased 62% from $2.2 million ($1.07 per Mcfe) in 1996 to $3.6 million ($1.14
per Mcfe) in 1997. Approximately $300,000 of the increase in 1997 resulted from
nonrecurring expenses related to the Company's relocation of its corporate
headquarters from Dallas, Texas to Austin, Texas, and the balance was primarily
attributable to the hiring of additional personnel and related expenses
necessary to manage the Company's growing operations. The increase in the per
unit rate was a result of a greater increase in aggregate general and
administrative expenses than oil and natural gas production volumes from 1996 to
1997 due to the aforementioned factors. The Company does not expect general and
administrative expenses to increase significantly in 1998 and expects the per
unit rate to decrease due to an anticipated continuation of increases in natural
gas and oil production volumes throughout the year.
 
     Depletion of natural gas and oil properties. Depletion of natural gas and
oil properties increased 18% from $2.3 million ($1.13 Mcfe) in 1996 to $2.7
million ($0.87 Mcfe) in 1997 as a result of higher production volumes. The per
unit amount decreased due to the addition of proved reserves during 1997.
 
     Interest expense. Interest expense was essentially unchanged from 1996 to
1997 as the Company's lower average outstanding debt balance in 1997 was offset
by a higher effective average interest rate. The weighted average outstanding
debt balance decreased 45% from $19.7 million in 1996 to $10.8 million in 1997.
The effective average interest rate increased 83% from 5.7% in 1996 to 10.5% in
1997. The decrease in the weighted average outstanding debt balance and increase
in the effective average interest rate resulted primarily from the conversion of
the 5% Notes in February 1997, the retirement of $13.3 million of borrowings
under the Bank One Facility in connection with the Company's May 1997 initial
public offering and $32 million of borrowings incurred under the Bank One
Facility subsequent to the Company's initial public offering to fund the
Company's increased exploration activity and its $13.5 million acquisition of
properties from Mobil adjacent to its West Bradley 3-D Project area. The Bank
One Facility had an effective interest rate of 8.8% at December 31, 1997.
 
  Year Ended December 31, 1996 Compared to Year Ended December 31, 1995
 
     Natural gas and oil sales. Natural gas and oil sales increased 72% from
$3.6 million in 1995 to $6.1 million in 1996. Of this increase, $2.0 million or
76% was attributable to an increase in production, and $607,894 or 24% was
attributable to an increase in the average sales price received for natural gas
and oil. Production volumes for natural gas increased 157% from 271,707 Mcf in
1995 to 698,036 Mcf in 1996. The average price received for natural gas
increased 42% from $1.62 Mcf in 1995 to $2.30 Mcf in 1996. Production volumes
for oil increased 28% from 176,693 Bbls in 1995 to 226,925 Bbls in 1996. The
average price received for oil increased 13% from $17.76 Bbl in 1995 to $19.98
per Bbl in 1996. Natural gas and oil sales were increased by production from 42
wells completed in 1996, which was partially offset by the sale of certain
producing properties in January 1996 and the natural decline of existing
production. Hedging activities in 1996
 
                                       22
<PAGE>   25
 
reduced the amount by which oil revenues increased by $301,280, compared to an
increase in oil revenues of $40,849 as a result of hedging activities in 1995.
 
     Workstation revenue. Workstation revenue decreased 1% from $635,401 in 1995
to $627,255 in 1996, primarily as a result of a decrease in the rate at which
3-D seismic data were acquired in 1995 and interpreted in 1996. Workstation
revenue is recognized by Brigham as industry participants in the Company's
seismic programs are charged an hourly rate for the work performed by the
Company on its 3-D seismic interpretation workstations.
 
     Lease operating expenses. Lease operating expenses decreased 5% from
$760,784 ($.57 Mcfe) in 1995 to $725,785 ($.35 Mcfe) in 1996. The decrease was
primarily due to the sale of certain producing properties in January 1996
partially offset by an increase in producing wells. The decrease in the per unit
rate was a result of the sale of higher cost oil wells in January 1996 and an
increase in the percentage of production from natural gas wells.
 
     General and administrative expenses. General and administrative expenses
increased 16% from $1.9 million ($1.42 Mcfe) in 1995 to $2.2 million ($1.07
Mcfe) in 1996. Approximately $110,000 of the increase in 1996 resulted from
salary increases for employees, and the remainder was primarily attributable to
an increase in third-party consulting fees. The decrease in the per unit rate
was a result of the increase in oil and natural gas production from 1995 to
1996.
 
     Depletion of natural gas and oil properties. Depletion of natural gas and
oil properties increased 43% from $1.6 million ($1.22 Mcfe) in 1995 to $2.3
million ($1.13 Mcfe) in 1996 as a result of higher production volumes.
 
     Interest expense. Interest expense increased 25% from $936,266 in 1995 to
$1.2 million in 1996. This increase was due to a higher average outstanding debt
balance in 1996, which was partially offset by a lower effective interest rate.
The weighted average outstanding debt balance increased 71% from approximately
$11.5 million in 1995 to $19.7 million in 1996. The effective interest rate
decreased 25% from 7.6% in 1995 to 5.7% in 1996. The increase in the weighted
average outstanding debt balance and decrease in the effective interest rate
resulted primarily from the retirement of the 10% Notes and the issuance of $16
million in principal amount of the 5% Notes in August 1995. The Company entered
into the Bank One Facility in April 1996, which had an effective interest rate
of 7.9% at December 31, 1996.
 
LIQUIDITY AND CAPITAL RESOURCES
 
     The Company's primary sources of capital have been revolving credit
facility and other debt borrowings, public and private equity financing, the
sale of interests in projects and funds generated by operations. The Company's
primary capital requirements are 3-D seismic and land acquisition costs and
drilling expenditures.
 
     Revolving Credit Facilities. In April 1996, the Company entered into a
revolving credit facility with Bank One, Texas, NA. This facility had a
three-year term and was subject to certain borrowing base limitations. The
Company had borrowings outstanding under the Bank One Facility of $32 million as
of December 31, 1997. The Company retired the Bank One Facility in January 1998
with borrowings under its Bank of Montreal Facility.
 
     In January 1998, Brigham entered into a new reserve-based credit agreement
(the "Bank of Montreal Facility") with Bank of Montreal, providing for current
borrowing availability of $75 million. The current borrowing base of $75 million
will be available to the Company until January 31, 1999, when the availability
under the facility will be redetermined by Bank of Montreal based on the
Company's then proved reserve value. The Company, at its option, can have the
availability under the facility redetermined based on its current proved reserve
value at any time prior to January 31, 1999. Principal outstanding under the
Bank of Montreal Facility is due at maturity on January 26, 2001 with interest
due monthly. The interest rate for borrowings under the Bank of Montreal
Facility is either the lender's base rate or LIBOR plus 2.25%, at the Company's
option. Borrowings under the facility currently bear interest at an annual rate
of approximately 7.9%. The Company is subject to typical covenants and
restrictions under the terms of the Bank of Montreal
 
                                       23
<PAGE>   26
 
Facility. The Company's obligations under the Bank of Montreal Facility are
secured by substantially all of the oil and natural gas properties of the
Company. See Note 5 of Notes to the Consolidated Financial Statements.
 
     The Company used a portion of the funds available under Bank of Montreal
Facility to repay the $32 million in borrowings outstanding at December 31, 1997
under its Bank One Facility, and it expects to utilize the remaining borrowing
capacity under the Bank of Montreal Facility together with cash flows from
operations to fund its budgeted capital expenditures in 1998.
 
     5% Notes. In August 1995, the Company entered into a note purchase
agreement with RIMCO under which RIMCO purchased $16 million in convertible
subordinated notes due September 1, 2002. These notes were unsecured and bore
interest at 5% per annum, of which 3% was currently payable and 2% was deferred
and payable at the maturity date. The balance outstanding under the 10% Notes
was retired with a portion of the proceeds from the issuance of the $16 million
in principal amount of the 5% Notes. RIMCO converted these notes and the
deferred interest thereon into a 19.65% equity interest in the Company in
February 1997. See Note 5 of Notes to the Consolidated Financial Statements.
 
  Cash Flow Analysis
 
     Cash Flows from Operating Activities. Cash flows provided by operating
activities were $9.8 million in 1997, $3.7 million in 1996, and $1.4 million in
1995. The increase in cash flows for 1997 compared to 1996 was due primarily to
an increase in oil and natural gas revenues, net of lease operating expenses,
production taxes and general and administrative expenses, and changes in balance
sheet items. The increase in cash flows for 1996 compared to 1995 was due
primarily to an increase in oil and natural gas revenues, net of lease operating
expenses, production taxes and general and administrative expenses.
 
     Cash Flows from Investing Activities. Cash flows used in investing
activities increased to $57.3 million in 1997 compared to $11.8 million in 1996
and $8.0 million in 1995. These increases are directly related to an increase in
capital expenditures. Capital expenditures were $57.2 million in 1997, $13.6
million in 1996 and $7.9 million in 1995. The Company acquired 1,243 square
miles of 3-D seismic data in 1997, 655 square miles in 1996, and 311 square
miles in 1995. The Company's drilling efforts resulted in the successful
completion of 46 wells (17.6 net) in 1997, 42 wells (8.7 net) in 1996 and 46
wells (9.9 net) in 1995, which resulted in aggregate net increases in proved
reserve volumes of 32.4 Bcfe in 1997, 11.3 Bcfe in 1996 and 6.0 Bcfe in 1995. In
addition, the Company sold certain producing properties in 1996 for $2.1 million
and acquired certain producing properties and related interests in 1997 for
$13.5 million.
 
     Cash Flows from Financing Activities. Cash flows from financing activities
for 1997 were $47.7 million, primarily as a result of borrowings under the Bank
One Facility and proceeds from the common stock sold in the Company's initial
public offering. Cash flows from financing activities for 1996 were $7.7
million, primarily as a result of borrowings under the Bank One Facility. Cash
flows from financing activities for 1995 were $7.7 million, primarily a result
of the issuance of the 5% Notes offset by the net repayment of the $7.9 million
outstanding balance on the 10% Notes.
 
  Capital Expenditures
 
     The Company estimates capital expenditures in 1998 will be approximately
$57.5 million. The Company expects to incur these capital expenditures primarily
to drill 100 gross (42.4 net) planned wells, acquire approximately 970 square
miles of 3-D seismic data and continue to add to and upgrade its 3-D seismic
interpretation hardware and software. The actual number of wells drilled and
square miles acquired may differ significantly from these estimates. See "Item
2. Properties -- Primary Exploration Provinces" and "-- Forward Looking
Information".
 
     Due to the Company's active 3-D seismic acquisition and drilling programs,
the Company has experienced and expects to continue to experience substantial
working capital requirements. While the Company believes that cash flow from
operations and borrowings under the Bank of Montreal Facility should allow the
Company to finance its operations at least through 1998 based on current
conditions, additional
 
                                       24
<PAGE>   27
 
financing may be required in the future to fund the Company's 3-D seismic
acquisition and drilling programs. In the event additional financing is not
available, the Company may be required to curtail these activities.
 
OTHER MATTERS
 
  Hedging Activities
 
     The Company believes that hedging, although not free of risk, allows the
Company to reduce its exposure to oil and natural gas sales price fluctuations
and to thereby achieve more predictable cash flows. However, hedging
arrangements, when utilized, limit the benefit to the Company of increases in
the prices of the hedged commodity. Moreover, the Company's hedging arrangements
apply only to a portion of its production and provide only partial price
protection against declines in commodity prices. The Company expects that the
amount of its hedges will vary from time to time. See "-- Risk Factors -- Risk
of Hedging Activities."
 
     In 1995 the Company, in an attempt to reduce its sensitivity to volatile
commodity prices, began using crude oil swap arrangements resulting in a fixed
price over a period of six months. Total oil purchased and sold subject to swap
arrangements entered into by the Company was 118,150 Bbls in 1996 and 54,900
Bbls in 1995. The Company accounts for all these transactions as hedging
activities and, accordingly, adjusts the price received for oil and natural gas
production during the period the hedged transactions occur. Adjustments to the
price received for oil under these swap arrangements resulted in an increase in
oil revenues of $40,849 in 1995 and a decrease in oil revenues of $301,280 in
1996 and $6,191 in 1997. As of December 31, 1997, the Company had no hedging
contracts outstanding.
 
     In February 1998, the Company entered into a hedging contract whereby 10
MMBtu per day of natural gas is purchased and sold subject to a fixed price swap
agreement for monthly periods from April 1998 through October 1999. Pursuant to
these arrangements the Company exchanges a floating market price for a fixed
contract price. Payments are made by the Company when the floating price exceeds
the fixed price for a contract month and payments are received when the fixed
price exceeds the floating price. Settlements on these swaps are based on the
difference between the ANR Pipeline Co. -- Oklahoma index price (as published in
Inside FERC's Gas Market Report) for a contract month and the fixed contract
price for the same month. Total natural gas subject to this hedging contract is
2,750,000 MMBtu in 1998 and 3,040,000 MMBtu in 1999.
 
  Effects of Inflation and Changes in Prices
 
     The Company's results of operations and cash flows are affected by changing
oil and natural gas prices. If the price of oil and natural gas increases
(decreases), there could be a corresponding increase (decrease) in revenues as
well as the operating costs that the Company is required to bear for operations.
Inflation has had a minimal effect on the Company.
 
  Environmental and Other Regulatory Matters
 
     The Company's business is subject to certain federal, state and local laws
and regulations relating to the exploration for and the development, production
and marketing of, oil and natural gas, as well as environmental and safety
matters. Many of these laws and regulations have become more stringent in recent
years, often imposing greater liability on a larger number of potentially
responsible parties. Although the Company believes it is in substantial
compliance with all applicable laws and regulations, the requirements imposed by
laws and regulations are frequently changed and subject to interpretation, and
the Company is unable to predict the ultimate cost of compliance with these
requirements or their effect on its operations. Any suspensions, terminations or
inability to meet applicable bonding requirements could materially adversely
affect the Company's financial condition and operations. Although significant
expenditures may be required to comply with governmental laws and regulations
applicable to the Company, compliance has not had a material adverse effect on
the earnings or competitive position of the Company. Future regulations may add
to the cost of, or significantly limit, drilling activity. See " -- Risk
Factors -- Compliance with Environmental Regulations," and "Item 1.
Business -- Governmental Regulation" and "-- Environmental Matters."
 
                                       25
<PAGE>   28
 
FORWARD LOOKING INFORMATION
 
     Brigham or its representatives may make forward looking statements, oral or
written, including statements in this report's Management's Discussion and
Analysis of Financial Condition and Results of Operations, press releases and
filings with the SEC, regarding estimated future net revenues from oil and
natural gas reserves and the present value thereof, planned capital expenditures
(including the amount and nature thereof), increases in oil and gas production,
the number of wells the Company anticipates drilling through 1998 and the
Company's financial position, business strategy and other plans and objectives
for future operations. Although the Company believes that the expectations
reflected in these forward looking statements are reasonable, there can be no
assurance that the actual results or developments anticipated by the Company
will be realized or, even if substantially realized, that they will have the
expected effects on its business or operations. Among the factors that could
cause actual results to differ materially from the Company's expectations are
general economic conditions, inherent uncertainties in interpreting engineering
data, operating hazards, delays or cancellations of drilling operations for a
variety of reasons, competition, fluctuations in oil and gas prices, the ability
of the Company to successfully integrate the business and operations of acquired
companies, government regulations and other factors set forth among the risk
factors noted below or in the description of the Company's business in Item 1 of
this report. All subsequent oral and written forward looking statements
attributable to the Company or persons acting on its behalf are expressly
qualified in their entirety by these factors. The Company assumes no obligation
to update any of these statements.
 
RISK FACTORS
 
     Dependence on Exploratory Drilling Activities. The Company's revenues,
operating results and future rate of growth are highly dependent upon the
success of its exploratory drilling program. Exploratory drilling involves
numerous risks, including the risk that no commercially productive natural gas
or oil reservoirs will be encountered. The cost of drilling, completing and
operating wells is often uncertain, and drilling operations may be curtailed,
delayed or canceled as a result of a variety of factors, including unexpected
drilling conditions, pressure or irregularities in formations, equipment
failures or accidents, adverse weather conditions, compliance with governmental
requirements and shortages or delays in the availability of drilling rigs and
the delivery of equipment. Despite the use of 3-D seismic and other advanced
technologies, exploratory drilling remains a speculative activity. Even when
fully utilized and properly interpreted, 3-D seismic data and other advanced
technologies only assist geoscientists in identifying subsurface structures and
do not enable the interpreter to know whether hydrocarbons are in fact present
in those structures. In addition, the use of 3-D seismic data and other advanced
technologies requires greater predrilling expenditures than traditional drilling
strategies, and the Company could incur losses as a result of such expenditures.
The Company's future drilling activities may not be successful. There can be no
assurance that the Company's overall drilling success rate or its drilling
success rate for activity within a particular province will not decline.
Unsuccessful drilling activities could have a material adverse effect on the
Company's results of operations and financial condition. The Company often
gathers 3-D seismic data over large areas. The Company's interpretation of data
delineates those portions of an area desirable for drilling. Therefore, the
Company may choose not to acquire option and lease rights prior to acquiring
seismic and, in many cases, the Company may identify a drilling location before
seeking option or lease rights in the location. Although the Company has
identified numerous potential drilling locations, there can be no assurance that
they will ever be leased or drilled or that natural gas or oil will be produced
from these or any other potential drilling locations.
 
     Volatility of Oil and Natural Gas Prices. The Company's revenues, operating
results and future rate of growth are highly dependent upon the prices received
for the Company's oil and natural gas. Historically, the markets for oil and
natural gas have been volatile and are likely to continue to be volatile in the
future. Various factors beyond the control of the Company will affect prices of
its oil and natural gas, including worldwide and domestic supplies of oil and
natural gas, the ability of the members of the Organization of Petroleum
Exporting Countries to agree to and maintain oil price and production controls,
political instability or armed conflict in oil-producing regions, the price and
level of foreign imports, the level of consumer demand, the price and
availability of alternative fuels, the availability of pipeline capacity,
weather conditions, domestic and
 
                                       26
<PAGE>   29
 
foreign governmental regulations and taxes, and the overall economic
environment. During 1997, the high and low prices for oil on the NYMEX were
$26.62 per Bbl and $17.60 per Bbl, and the high and low prices for natural gas
on the NYMEX were $3.79 per MMBtu and $1.78 per MMBtu. From January 1, 1998
through March 24, 1998, the price of oil on the NYMEX ranged from $13.21 per Bbl
to $17.82 per Bbl and the price of natural gas on the NYMEX ranged from $2.00
per MMBtu to $2.38 per MMBtu. It is impossible to predict future oil and natural
gas price movements with certainty. Declines in natural gas and oil prices may
materially adversely affect the Company's financial condition, liquidity,
ability to finance planned capital expenditures and results of operations. Lower
natural gas and oil prices also may reduce the amount of natural gas and oil
that the Company can produce economically. Any significant decline in the price
of natural gas or oil would adversely affect the Company's revenues and
operating income and may require a reduction in the carrying value of the
Company's natural gas and oil properties. See "Item 1. Business -- Competition."
 
     Risks Associated with Management of Growth and Implementation of Growth
Strategy. The Company's rapid growth has placed, and is expected to continue to
place, a significant strain on the Company's financial, technical, operational
and administrative resources. As the Company increases the number of projects it
is evaluating or in which it is participating, there will be additional demands
on the Company's financial, technical and administrative resources. In addition,
the Company has only limited experience operating and managing field operations,
including drilling, and there can be no assurances that the Company will be
successful in doing so. Any increase in the Company's activities as an operator
will increase its exposure to operating hazards. The failure to continue to
upgrade the Company's technical, administrative, operating and financial control
systems or the occurrence of unexpected expansion difficulties, including
difficulties in recruiting and retaining geophysicists, geologists, engineers
and sufficient numbers of qualified personnel to enable the Company to expand
its role in the drilling and production phase, or the reduced availability of
seismic gathering, drilling or other services in the face of growing demand,
could have a material adverse effect on the Company's business, financial
condition and results of operations.
 
     Historical Operating Losses and Variability of Operating Results. The
Company had net losses of approximately $5.1 million in 1993, $1.3 million in
1994, $1.6 million in 1995, $450,000 in 1996 and $1.0 million (including a net
$1.2 million non-cash deferred income tax charge incurred in connection with the
Company's conversion from a partnership to a corporation) in 1997. The Company
has incurred net losses in each year of operation, and there can be no assurance
that the Company will be profitable in the future. At December 31, 1997, the
Company's retained earnings were $26,000 and its total stockholders' equity was
$43.2 million. In addition, the Company's future operating results may fluctuate
significantly depending upon a number of factors, including industry conditions,
prices of oil and natural gas, rates of drilling success, rates of production
from completed wells and the timing of capital expenditures. This variability
could have a material adverse effect on the Company's business, financial
condition and results of operations. In addition, any failure or delay in the
realization of expected cash flows from operating activities could limit the
Company's ability to invest and participate in economically attractive projects.
See "Item 6. Selected Financial Data."
 
     Reserve Replacement Risk. In general, production from oil and natural gas
properties declines as reserves are depleted, with the rate of decline depending
on reservoir characteristics. Except to the extent the Company conducts
successful exploration and development activities or acquires properties
containing proved reserves, or both, the proved reserves of the Company will
decline as reserves are produced. The Company's future oil and natural gas
production is highly dependent upon its ability to economically find, develop or
acquire reserves in commercial quantities. The business of exploring for or
developing reserves is capital intensive. To the extent cash flow from
operations is reduced and external sources of capital become limited or
unavailable, the Company's ability to make the necessary capital investment to
maintain or expand its asset base of oil and natural gas reserves would be
impaired. The Company participates in a substantial percentage of its wells as
non-operator. The failure of an operator of the Company's wells to adequately
perform operations, or an operator's breach of the applicable agreements, could
adversely impact the Company. In addition, there can be no assurance that the
Company's future exploration and development activities will result in
additional proved reserves or that the Company will be able to drill productive
wells at acceptable costs. Furthermore,
 
                                       27
<PAGE>   30
 
although the Company's revenues could increase if prevailing prices for oil and
natural gas increase significantly, the Company's finding and development costs
could also increase.
 
     Operating Hazards and Uninsured Risks. The Company's operations are subject
to hazards and risks inherent in drilling for and producing and transporting oil
and natural gas, such as fires, natural disasters, explosions, encountering
formations with abnormal pressures, blowouts, cratering, pipeline ruptures and
spills, any of which can result in the loss of hydrocarbons, environmental
pollution, personal injury claims and other damage to properties of the Company
and others. As protection against operating hazards, the Company maintains
insurance coverage against some, but not all, potential losses. The Company may
elect to self-insure if management believes that the cost of insurance, although
available, is excessive relative to the risks presented. The Company generally
maintains insurance for the hazards and risks inherent in drilling for and
producing and transporting oil and natural gas and believes this insurance is
adequate. Nevertheless, the occurrence of an event that is not covered, or not
fully covered, by insurance could have a material adverse effect on the
Company's financial condition and results of operations. In addition, pollution
and environmental risks generally are not fully insurable. See "Item 2.
Properties -- Operating Hazards and Uninsured Risks."
 
     Uncertainty of Reserve Information and Future Net Revenue
Estimates. Numerous uncertainties are inherent in estimating quantities of
proved reserves and their values, including many factors beyond the Company's
control. The reserve information herein is an estimate only. Although the
Company believes these estimates are reasonable, reserve estimates are imprecise
and are expected to change as additional information becomes available.
Estimates of oil and natural gas reserves by necessity are projections based on
engineering data, and uncertainties are inherent in the interpretation of this
data, the projection of future rates of production and the timing of development
expenditures. Reserve engineering is a subjective process of estimating
underground accumulations of oil and natural gas that are difficult to measure.
The accuracy of any reserve estimate is a function of the quality of available
data, engineering and geologic interpretation, and judgment. Estimates of
economically recoverable oil and natural gas reserves and of future net cash
flows depend upon a number of variable factors and assumptions, such as
historical production from the area compared with production from other
producing areas, the assumed effects of regulations by governmental agencies,
and assumptions concerning future oil and natural gas prices, future operating
costs, severance and excise taxes, development costs and workover and remedial
costs, all of which may in fact vary considerably from actual results. For these
reasons, estimates of the economically recoverable quantities of oil and natural
gas attributable to any particular group of properties, classifications of
reserves based on risk of recovery, and estimates of the future net cash flows
may vary substantially. Moreover, there can be no assurance that the Company's
reserves will ultimately be produced or that the Company's proved undeveloped
reserves will be developed within the periods anticipated. Any significant
variance in the assumptions could materially affect the estimated quantity and
value of the Company's reserves. Actual production, revenues and expenditures
with respect to the Company's reserves will likely vary from estimates, and such
variances may be material. See "Item 2. Properties -- Oil and Natural Gas
Reserves."
 
     The Present Value of Future Net Revenues referred to herein should not be
construed as the current market value of the estimated oil and natural gas
reserves attributable to the Company's properties. In accordance with applicable
requirements of the SEC, the estimated discounted future net cash flows from
proved reserves are generally based on prices and costs as of the date of the
estimate, whereas actual future prices and costs may be materially higher or
lower. At December 31, 1997, the date of the estimate of the Company's reserves
and present value data, the prices of natural gas and oil on the NYMEX were
$2.26 per MMBtu and $17.64 per Bbl, respectively. From January 1, 1998 through
March 24, 1998, the price of natural gas on the NYMEX ranged from $2.00 per
MMBtu to $2.38 per MMBtu and the price of oil on the NYMEX ranged from $13.21
per Bbl to $17.82 per Bbl. Actual future net cash flows also will be affected by
factors such as the amount and timing of actual production, supply and demand
for oil and natural gas, curtailments or increases in consumption by gas
purchasers, and changes in governmental regulations or taxation. The timing of
actual future net cash flows from proved reserves, and thus their actual present
value, will be affected by the timing of both the production and the incurrence
of expenses in connection with development and production of oil and natural gas
properties. In addition, the 10% discount factor, which must be used to
calculate discounted future net cash flows for reporting purposes, is not
necessarily the most appropriate discount factor
 
                                       28
<PAGE>   31
 
based on interest rates in effect from time to time and risks associated with
the Company or the oil and gas industry in general.
 
     Competition. The Company operates in the highly competitive areas of oil
and natural gas exploration, exploitation, acquisition and production with other
companies. In seeking to acquire desirable producing properties or new leases
for future exploration and in marketing its oil and natural gas production, as
well as in seeking to acquire the equipment and expertise necessary to operate
and develop those properties, the Company faces intense competition from a large
number of independent, technology-driven companies as well as both major and
other independent oil and natural gas companies. Many of these competitors have
financial and other resources substantially in excess of those available to the
Company. The effects of this highly competitive environment could have a
material adverse effect on the Company. See "Item 1. Business -- Competition."
 
     Compliance with Government Regulations. The Company's business is subject
to federal, state and local laws and regulations relating to the exploration
for, and the development, production and marketing of, oil and natural gas, as
well as safety matters. Although the Company believes it is in substantial
compliance with all applicable laws and regulations, legal requirements are
frequently changed and subject to interpretation, and the Company is unable to
predict the ultimate cost of compliance with these requirements or their effect
on its operations. Significant expenditures may be required to comply with
governmental laws and regulations. See "Item 1. Business -- Governmental
Regulation."
 
     Compliance with Environmental Regulations. The Company's operations are
subject to complex environmental laws and regulations adopted by federal, state
and local governmental authorities. Environmental laws and regulations are
frequently changed. The implementation of new, or the modification of existing,
laws or regulations could have a material adverse effect on the Company. The
discharge of natural gas, oil, or other pollutants into the air, soil or water
may give rise to significant liabilities on the part of the Company to the
government and third parties and may require the Company to incur substantial
costs of remediation. No assurance can be given that existing environmental laws
or regulations, as currently interpreted or reinterpreted in the future, or
future laws or regulations will not materially adversely affect the Company's
results of operations and financial condition. See "Item 1.
Business -- Environmental Matters."
 
     Risk of Hedging Activities. In an attempt to reduce its sensitivity to
energy price volatility, the Company uses swap arrangements that generally
result in a fixed price over a period of six to eighteen months. If the
Company's reserves are not produced at rates equivalent to the hedged position,
the Company would be required to satisfy its obligations under hedging contracts
on potentially unfavorable terms without the ability to hedge that risk through
sales of comparable quantities of its own production. Further, the terms under
which the Company enters 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 used by the Company and actual results experienced
could materially adversely affect the Company's anticipated profit margins and
its ability to manage the risk associated with fluctuations in oil and natural
gas prices. Additionally, hedging contracts limit the benefits the Company will
realize if actual prices rise above the contract prices. In addition, hedging
contracts are 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 financial effect on the Company.
For the year ended December 31, 1997, the Company realized a reduction in
revenues attributable to oil hedges of $6,191. See "-- Other Matters -- Hedging
Activities."
 
     Marketability of Production. The marketability of the Company's production
depends in part upon the availability, proximity and capacity of natural gas
gathering systems, pipelines and processing facilities. The Company generally
delivers natural gas through gas gathering systems and gas pipelines that it
does not own. Federal and state regulation of oil and natural gas production and
transportation, tax and energy policies, changes in supply and demand and
general economic conditions all could adversely affect the Company's ability to
produce and market its oil and natural gas. Any dramatic change in market
factors could have a material adverse effect on the Company.
 
                                       29
<PAGE>   32
 
     Dependence on Key Personnel. The Company has assembled a team of
geologists, geophysicists and engineers having considerable experience applying
3-D imaging technology. The Company is dependent upon the knowledge, skills and
experience of these experts to provide 3-D imaging and assist the Company in
reducing the risks associated with its participation in oil and natural gas
exploration projects. In addition, the success of the Company's business also
depends to a significant extent upon the abilities and continued efforts of its
management, particularly Ben M. Brigham, the Company's Chief Executive Officer,
President and Chairman of the Board. The Company has an employment agreement
with Ben M. Brigham, but does not have an employment agreement with any of its
other employees. The Company has key man life insurance on Mr. Brigham in the
amount of $2.0 million. The loss of services of key management personnel or the
Company's technical experts, or the inability to attract additional qualified
personnel, could have a material adverse effect on the Company's business,
financial condition, results of operations, development efforts and ability to
grow. There can be no assurance that the Company will be successful in
attracting and retaining such executives, geophysicists, geologists and
engineers. See "Item 1. Management -- Directors and Executive Officers" and
"Business -- Exploration Staff."
 
     Control by Existing Stockholders. As of March 24, 1998, directors,
executive officers and principal stockholders of the Company, and certain of
their affiliates, beneficially owned approximately 72% of the Company's
outstanding Common Stock. Accordingly, these stockholders, as a group, will be
able to control the outcome of stockholder votes, including votes concerning the
election of directors, the adoption or amendment of provisions in the Company's
Certificate of Incorporation or Bylaws and the approval of mergers and other
significant corporate transactions. The existence of these levels of ownership
concentrated in a few persons make it unlikely that any other holder of Common
Stock will be able to affect the management or direction of the Company. These
factors may also have the effect of delaying or preventing a change in the
management or voting control of the Company.
 
     Certain Antitakeover Considerations. The Company's Certificate of
Incorporation authorizes the Board of Directors of the Company to issue up to
10.0 million shares of preferred stock without stockholder approval and to set
the rights, preferences and other designations, including voting rights, of
those shares as the Board of Directors may determine. These provisions, alone or
in combination with the matters described in "Risk Factors -- Control by
Existing Stockholders," may discourage transactions involving actual or
potential changes of control of the Company, including transactions that
otherwise could involve payment of a premium over prevailing market prices to
holders of Common Stock. The Company also is subject to provisions of the
Delaware General Corporation Law that may make some business combinations more
difficult.
 
ITEM 8. FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA
 
     The Company's Consolidated Financial Statements required by this item are
included on the pages immediately following the Index to Financial Statements
appearing on page F-1.
 
ITEM 9. CHANGES IN AND DISAGREEMENTS WITH ACCOUNTANTS ON ACCOUNTING AND
        FINANCIAL DISCLOSURE
 
     None.
 
                                       30
<PAGE>   33
 
                                    PART III
 
ITEM 10. DIRECTORS AND EXECUTIVE OFFICERS OF THE REGISTRANT
 
     The information required by this item is incorporated by reference to
information under the caption "Proposal 1 -- Election of Directors" and to the
information under the caption "Compliance with Section 16(a) of the Securities
Exchange Act of 1934" in the Company's definitive Proxy Statement (the "1998
Proxy Statement") for its annual meeting of stockholders to be held on May 29,
1998. The 1998 Proxy Statement will be filed with the Securities and Exchange
Commission (the "Commission") not later than 120 days subsequent to December 31,
1997.
 
     Pursuant to Item 401(b) of Regulation S-K, the information required by this
item with respect to executive officers of the Company is set forth in Part I of
this report.
 
ITEM 11. EXECUTIVE COMPENSATION
 
     The information required by this item is incorporated herein by reference
to the 1998 Proxy Statement, which will be filed with the Commission not later
than 120 days subsequent to December 31, 1997.
 
ITEM 12. SECURITY OWNERSHIP OF CERTAIN BENEFICIAL OWNERS AND MANAGEMENT
 
     The information required by this item is incorporated herein by reference
to the 1998 Proxy Statement, which will be filed with the Commission not later
than 120 days subsequent to December 31, 1997.
 
ITEM 13. CERTAIN RELATIONSHIPS AND RELATED PARTY TRANSACTIONS
 
     The information required by this item is incorporated herein by reference
to the 1998 Proxy Statement, which will be filed with the Commission not later
than 120 days subsequent to December 31, 1997.
 
                                    PART IV
 
ITEM 14. EXHIBITS, FINANCIAL STATEMENT SCHEDULES AND REPORTS ON FORM 8-K
 
     (a) 1. Consolidated Financial Statements:
 
             See Index to Consolidated Financial Statements on page F-1.
 
         2. Financial Statement Schedules:
 
             See Index to Consolidated Financial Statements on page F-1.
 
         3. Exhibits: The following documents are filed as exhibits to this
report:
 
<TABLE>
<CAPTION>
         NUMBER                                  DESCRIPTION
         ------                                  -----------
<C>                      <S>
         2.1             -- Exchange Agreement (filed as Exhibit 2.1 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
         3.1             -- Certificate of Incorporation (filed as Exhibit 3.1 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
         3.2             -- Bylaws (filed as Exhibit 3.2 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
         4.1             -- Form of Common Stock Certificate (filed as Exhibit 4.1 to
                            the Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
</TABLE>
 
                                       31
<PAGE>   34
 
<TABLE>
<CAPTION>
         NUMBER                                  DESCRIPTION
         ------                                  -----------
<C>                      <S>
        10.1             -- Agreement of Limited Partnership, dated May 1, 1992,
                            between Brigham Exploration Company and General Atlantic
                            Partners III, L.P. as general partners, and Harold D.
                            Carter and GAP-Brigham Partners, L.P. as limited partners
                            (filed as Exhibit 10.1 to the Company's Registration
                            Statement on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.1.1           -- Amendment No. 1 to Agreement of Limited Partnership of
                            Brigham Oil & Gas, L.P., dated May 1, 1992, by and among
                            Brigham Exploration Company, General Atlantic Partners
                            III, L.P., GAP-Brigham Partners, L.P. and Harold D.
                            Carter (filed as Exhibit 10.1.1 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.1.2           -- Amendment No. 2 to Agreement of Limited Partnership of
                            Brigham Oil & Gas, L.P., dated September 30, 1994, by and
                            among Brigham Exploration Company, General Atlantic
                            Partners III, L.P., GAP-Brigham Partners, L.P., Harold D.
                            Carter and the additional signatories thereto (filed as
                            Exhibit 10.1.2 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.1.3           -- Amendment No. 3 to Agreement of Limited Partnership of
                            Brigham Oil & Gas, L.P., dated August 24, 1995, by and
                            among Brigham Exploration Company, General Atlantic
                            Partners III, L.P., GAP-Brigham Partners, L.P., Harold D.
                            Carter, Craig M. Fleming, David T. Brigham and Jon L.
                            Glass (filed as Exhibit 10.1.3 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.2             -- Agreement of Limited Partnership of Venture Acquisitions,
                            L.P., dated September 23, 1994, by and between Quest
                            Resources, L.L.C. and RIMCO Energy, Inc. as general
                            partners, and RIMCO Production Company, Inc., RIMCO
                            Exploration Partners, L.P. I and RIMCO Exploration
                            Partners, L.P. II, as limited partners (filed as Exhibit
                            10.2 to the Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.3             -- Regulations of Quest Resources, L.L.C. (filed as Exhibit
                            10.3 to the Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.4             -- Management and Ownership Agreement, dated September 23,
                            1994, by and among Brigham Oil & Gas, L.P., Brigham
                            Exploration Company, General Atlantic Partners III, L.P.,
                            Harold D. Carter, Ben M. Brigham and GAP-Brigham
                            Partners, L.P. (filed as Exhibit 10.4 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.5*            -- Consulting Agreement, dated May 2, 1995, by and between
                            Brigham Oil & Gas, L.P. and Harold D. Carter (filed as
                            Exhibit 10.6 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.6*            -- Employment Agreement, by and between Brigham Exploration
                            Company and Ben M. Brigham (filed as Exhibit 10.7 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.7*            -- Form of Confidentiality and Noncompete Agreement between
                            the Registrant and each of its executive officers (filed
                            as Exhibit 10.8 to the Company's Registration Statement
                            on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
</TABLE>
 
                                       32
<PAGE>   35
 
<TABLE>
<CAPTION>
         NUMBER                                  DESCRIPTION
         ------                                  -----------
<C>                      <S>
        10.8*            -- 1997 Incentive Plan of Brigham Exploration Company (filed
                            as Exhibit 10.9 to the Company's Registration Statement
                            on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.8.1*          -- Form of Option Agreement for certain executive officers
                            (filed as Exhibit 10.9.1 to the Company's Registration
                            Statement on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.8.2*          -- Option Agreement dated as of March 4, 1997, by and
                            between Brigham Exploration company and Jon L. Glass
                            (filed as Exhibit 10.9.2 to the Company's Registration
                            Statement on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.9*            -- Incentive Bonus Plan dated as of February 28, 1997 of
                            Brigham, Inc. and Brigham Oil & Gas, L.P. (filed as
                            Exhibit 10.10 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.10            -- Two Bridgepoint Lease Agreement, dated September 30,
                            1996, by and between Investors Life Insurance Company of
                            North America and Brigham Oil & Gas, L.P. (filed as
                            Exhibit 10.14 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.11            -- Anadarko Basin Seismic Operations Agreement, dated
                            February 15, 1996, by and between Brigham Oil & Gas, L.P.
                            and Veritas Geophysical, Ltd. (filed as Exhibit 10.15 to
                            the Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.11.1          -- Letter Amendment to Anadarko Basin Seismic Operations
                            Agreement, dated June 10, 1996, between Brigham Oil &
                            Gas, L.P. and Veritas Geophysical, Ltd. (filed as Exhibit
                            10.15.1 to the Company's Registration Statement on Form
                            S-1 (Registration No. 333-22491), and incorporated herein
                            by reference).
        10.12            -- Expense Allocation and Participation Agreement, dated
                            April 1, 1996, between Brigham Oil & Gas, L.P. and Gasco
                            Limited Partnership. (filed as Exhibit 10.16 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.12.1          -- Amendment to Expense Allocation and Participation
                            Agreement, dated October 21, 1996, between Brigham Oil &
                            Gas, L.P. and Gasco Limited Partnership (filed as Exhibit
                            10.16.1 to the Company's Registration Statement on Form
                            S-1 (Registration No. 333-22491), and incorporated herein
                            by reference).
        10.13            -- Expense Allocation and Participation Agreement, dated
                            April 1, 1996, between Brigham Oil & Gas, L.P. and Middle
                            Bay Oil Company, Inc. (filed as Exhibit 10.17 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.13.1          -- Amendment to Expense Allocation and Participation
                            Agreement, dated September 26, 1996, between Brigham Oil
                            & Gas, L.P. and Middle Bay Oil Company, Inc. (filed as
                            Exhibit 10.17.1 to the Company's Registration Statement
                            on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.13.2          -- Letter Amendment to Expense Allocation and Participation
                            Agreement, dated May 20, 1996, between Brigham Oil & Gas,
                            L.P. and Middle Bay Oil Company, Inc. (filed as Exhibit
                            10.17.2 to the Company's Registration Statement on Form
                            S-1 (Registration No. 333-22491), and incorporated herein
                            by reference).
        10.14            -- Anadarko Basin Joint Participation Agreement, dated May
                            1, 1996, by and among Stephens Production Company and
                            Brigham Oil & Gas, L.P. (filed as Exhibit 10.18 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
</TABLE>
 
                                       33
<PAGE>   36
 
<TABLE>
<CAPTION>
         NUMBER                                  DESCRIPTION
         ------                                  -----------
<C>                      <S>
        10.15            -- Anadarko Basin Joint Participation Agreement, dated May
                            1, 1996, by and between Vintage Petroleum, Inc. and
                            Brigham Oil & Gas, L.P. (filed as Exhibit 10.19 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.16            -- Processing Alliance Agreement, dated July 20, 1993,
                            between Veritas Seismic Ltd. and Brigham Oil & Gas, L.P.
                            (filed as Exhibit 10.20 to the Company's Registration
                            Statement on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.16.1          -- Letter Amendment to Processing Alliance Agreement, dated
                            November 3, 1994, between Veritas Seismic Ltd. and
                            Brigham Oil & Gas, L.P. (filed as Exhibit 10.20.1 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.17            -- Agreement and Assignment of Interest, West Bradley
                            Project, dated September 1, 1995, by and between Aspect
                            Resources Limited Liability Company and Brigham Oil &
                            Gas, L.P. (filed as Exhibit 10.21 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.18            -- Agreement and Assignment of Interests in lands located in
                            Grady County, Oklahoma, West Bradley Project, dated
                            December 1, 1995, by and between Aspect Resources Limited
                            Liability Company, Brigham Oil & Gas, L.P. and Venture
                            Acquisitions, L.P. (filed as Exhibit 10.22 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.19            -- Agreement and Assignment of Interests, West Bradley
                            Project, dated December 1, 1995, by and between Aspect
                            Resources Limited Liability Company and Brigham Oil &
                            Gas, L.P. (filed as Exhibit 10.23 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.20            -- Geophysical Exploration Agreement, Hardeman Project,
                            Hardeman and Wilbarger Counties, Texas and Jackson
                            County, Oklahoma, dated March 15, 1993 by and among
                            General Atlantic Resources, Inc., Maynard Oil Company,
                            Ruja Muta Corporation, Tucker Scully Interests Ltd., JHJ
                            Exploration, Ltd., Cheyenne Petroleum Company, Antrim
                            Resources, Inc., and Brigham Oil & Gas, L.P. (filed as
                            Exhibit 10.24 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.21            -- Agreement and Partial Assignment of Interests in OK13-P
                            Prospect Area, Jackson County, Oklahoma (Hardeman
                            Project), dated August 1, 1995, by and between Brigham
                            Oil & Gas, L.P. and Aspect Resources Limited Liability
                            Company (filed as Exhibit 10.25 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.22            -- Agreement and Partial Assignment of Interests in Q140-E
                            Prospect Area, Hardeman County, Texas (Hardeman Project),
                            dated August 1, 1995, by and between Brigham Oil & Gas,
                            L.P. and Aspect Resources Limited Liability Company
                            (filed as Exhibit 10.26 to the Company's Registration
                            Statement on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.23            -- Agreement and Partial Assignment of Interests in Hankins
                            #1 Chappel Prospect Agreement, Jackson County, Oklahoma
                            (Hardeman Project), dated March 21, 1996, by and between
                            Brigham Oil & Gas, L.P., NGR, Ltd. and Aspect Resources
                            Limited Liability Company (filed as Exhibit 10.27 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
</TABLE>
 
                                       34
<PAGE>   37
 
<TABLE>
<CAPTION>
         NUMBER                                  DESCRIPTION
         ------                                  -----------
<C>                      <S>
        10.24            -- Form of Indemnity Agreement between the Registrant and
                            each of its executive officers (filed as Exhibit 10.28 to
                            the Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.25            -- Registration Rights Agreement dated February 26, 1997 by
                            and among Brigham Exploration Company, General Atlantic
                            Partners III L.P., GAP-Brigham Partners, L.P., RIMCO
                            Partners, L.P. II, RIMCO Partners L.P. III, and RIMCO
                            Partners, L.P. IV, Ben M. Brigham, Anne L. Brigham,
                            Harold D. Carter, Craig M. Fleming, David T. Brigham and
                            Jon L. Glass (filed as Exhibit 10.29 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.26            -- 1997 Director Stock Option Plan (filed as Exhibit 10.30
                            to the Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.27            -- Form of Employee Stock Ownership Agreement (filed as
                            Exhibit 10.31 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.28            -- Agreement and Assignment of Interest in Geophysical
                            Exploration Agreement, Esperson Dome Project, dated
                            November 1, 1994, by and between Brigham Oil & Gas, L.P.
                            and Vaquero Gas Company (filed as Exhibit 10.33 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.29            -- Geophysical Exploration Agreement, Southwest Danbury
                            Project, Brazoria County, Texas, dated as of July 1,
                            1996, by and among UNEXCO, Inc. and Brigham Oil & Gas,
                            L.P. (filed as Exhibit 10.34 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.30            -- Geophysical Exploration Agreement, Welder Project, Duval
                            County, Texas, dated as of October 1, 1996, by and among
                            UNEXCO, Inc. and Brigham Oil & Gas, L.P. (filed as
                            Exhibit 10.35 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.31            -- Proposed Trade Structure, RIMCO/Tigre Project, Vermillion
                            Parish, Louisiana, among Brigham Oil & Gas, L.P., Tigre
                            Energy Corporation and Resource Investors Management
                            Company (filed as Exhibit 10.36 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.31.1          -- Letter relating to Proposed Trade Structure, RIMCO/Tigre
                            Project, dated January 31, 1997, from Resource Investors
                            Management Company to Brigham Oil & Gas, L.P. (filed as
                            Exhibit 10.36 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.32            -- Anadarko Basin Seismic Operations Agreement II, dated as
                            of April 1, 1997, by and between Brigham Oil & Gas, L.P.
                            (filed as Exhibit 10.37 to the Company's Registration
                            Statement on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.32.1          -- Letter Amendment to Anadarko Basin Seismic Operations
                            Agreement II, dated March 20, 1997, between Brigham Oil &
                            Gas, L.P. and Veritas DGC Land, Inc. (filed as Exhibit
                            10.37 to the Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
</TABLE>
 
                                       35
<PAGE>   38
 
<TABLE>
<CAPTION>
         NUMBER                                  DESCRIPTION
         ------                                  -----------
<C>                      <S>
        10.33            -- Expense Allocation and Participation Agreement II, dated
                            April 1, 1997, between Brigham Oil & Gas, L.P., and Gasco
                            Limited Partnership (filed as Exhibit 10.31 to the
                            Company's Quarterly Report on Form 10-Q for the quarter
                            ended June 30, 1997, and incorporated herein by
                            reference).
        10.36            -- Credit Agreement dated as of January 26, 1998 among
                            Brigham Oil & Gas, L.P., Bank of Montreal, as Agent, and
                            the lenders signatory thereto.
        21               -- Subsidiaries of the Registrant.
        27               -- Financial Data Schedule.
</TABLE>
 
- ---------------
 
* Management contract or compensatory plan.
 
     (b) The following reports on Form 8-K were filed by the Company during the
last quarter of the period covered by this Annual Report on Form 10-K:
 
          Current Report on Form 8-K filed January 23, 1998.
 
                                       36
<PAGE>   39
 
                         GLOSSARY OF OIL AND GAS TERMS
 
     The following are abbreviations and definitions of certain terms commonly
used in the oil and gas industry and this Prospectus.
 
     Bbl. One stock tank barrel, or 42 U.S. gallons liquid volume, used herein
in reference to oil or other liquid hydrocarbons.
 
     Bcf. One billion cubic feet.
 
     Bcfe. One billion cubic feet of natural gas equivalent. In reference to
natural gas, natural gas equivalents are determined using the ratio of 6 Mcf of
natural gas to 1 Bbl of oil, condensate of natural gas liquids.
 
     CAEX. Computer-aided exploration.
 
     Completion. The installation of permanent equipment for the production of
oil or natural gas.
 
     Developed Acreage. The number of acres which are allocated or assignable to
producing wells or wells capable of production.
 
     Development Well. A well drilled within the proved area of an oil or
natural gas reservoir to the depth of a stratigraphic horizon known to be
productive.
 
     Drilling Costs. The costs associated with drilling and completing a well
(exclusive of seismic and land acquisition costs for that well and future
development costs associated with proved undeveloped reserves added by the well)
divided by total proved reserve additions.
 
     Dry Well. A well found to be incapable of producing either oil or natural
gas in sufficient quantities to justify completion of an oil or gas well.
 
     Exploratory Well. A well drilled to find and produce oil or natural gas in
an unproved area, to find a new reservoir in a field previously found to be
productive of oil or gas in another reservoir, or to extend a known reservoir.
 
     Finding and Development Costs. Capital costs incurred in the acquisition,
exploration and development of proved oil and natural gas reserves divided by
proved reserve additions.
 
     Gross Acres or Gross Wells. The total acres or wells, as the case may be,
in which the Company has a working interest.
 
     MBbl. One thousand barrels of oil or other liquid hydrocarbons.
 
     Mcf. One thousand cubic feet of natural gas.
 
     Mcfe. One thousand cubic feet of natural gas equivalent.
 
     MMBbl. One million barrels of oil or other liquid hydrocarbons.
 
     MMBtu. One million Btu, or British Thermal Units. One British Thermal Unit
is the quantity of heat required to raise the temperature of one pound of water
by one degree Fahrenheit.
 
     MMcf. One million cubic feet of natural gas.
 
     MMcfe. One million cubic feet of natural gas equivalent.
 
     Net Acres or Net Wells. Gross acres or wells multiplied, in each case, by
the percentage working interest owned by the Company.
 
     Net Production. Production that is owned by the Company less royalties and
production due others.
 
     Oil. Crude oil or condensate.
 
     Operator. The individual or company responsible for the exploration,
development, and production of an oil or gas well or lease.
 
                                       37
<PAGE>   40
 
     Present Value of Future Net Revenues or PV-10. The pretax present value of
estimated future revenues to be generated from the production of proved reserves
calculated in accordance with SEC guidelines, net of estimated production and
future development costs, using prices and costs as of the date of estimation
without future escalation, without giving effect to non-property related
expenses such as general and administrative expenses, debt service and
depreciation, depletion and amortization, and discounted using an annual
discount rate of 10%.
 
     Proved Developed Reserves. Reserves that can be expected to be recovered
through existing wells with existing equipment and operating methods.
 
     Proved Reserves. The estimated quantities of crude oil, natural gas and
natural 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. 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.
 
     Royalty. An interest in an oil and gas lease that gives the owner of the
interest the right to receive a portion of the production from the leased
acreage (or of the proceeds of the sale thereof), but generally does not require
the owner to pay any portion of the costs of drilling or operating the wells on
the leased acreage. Royalties may be either landowner's royalties, which are
reserved by the owner of the leased acreage at the time the lease is granted, or
overriding royalties, which are usually reserved by an owner of the leasehold in
connection with a transfer to a subsequent owner.
 
     Spud. Start drilling a new well (or restart).
 
     Standardized Measure of Discounted Future Net Cash Flows. The aftertax
present value of estimated future revenues to be generated from the production
of proved reserves calculated in accordance with SEC guidelines, net of
estimated production and future development costs, using prices and costs as of
the date of estimation without future escalation, without giving effect to
non-property related expenses such as general and administrative expenses, debt
service and depreciation, depletion and amortization, and discounted using an
annual discount rate of 10%.
 
     Success Rate. The number of wells on which production casing has been run
for a completion attempt as a percentage of the number of wells drilled.
 
     2-D Seismic. The method by which a cross-section of the earth's subsurface
is created through the interpretation of reflecting seismic data collected along
a single source profile.
 
     3-D Seismic. The method by which a three dimensional image of the earth's
subsurface is created through the interpretation of reflection seismic data
collected over surface grid. 3-D seismic surveys allow for a more detailed
understanding of the subsurface than do conventional surveys and contribute
significantly to field appraisal, development and production.
 
     Working Interest. An interest in an oil and gas lease that gives the owner
of the interest the right to drill for and produce oil and natural gas on the
leased acreage and requires the owner to pay a share of the costs of drilling
and production operations.
 
                                       38
<PAGE>   41
 
                                   SIGNATURES
 
     Pursuant to the requirements of Section 13 or 15(d) of the Securities
Exchange Act of 1934, the Registrant has duly caused this report to be signed on
its behalf by the undersigned, hereunder duly authorized, as of March 25, 1998.
 
                                            BRIGHAM EXPLORATION COMPANY
 
                                            By:     /s/ BEN M. BRIGHAM
                                              ----------------------------------
                                                        Ben M. Brigham
                                                 Chief Executive Officer and
                                                           President
 
     Pursuant to the requirements of the Securities Exchange Act of 1934, this
report has been signed below as of March 25, 1998, by the following persons on
behalf of the Registrant and in the capacity indicated.
 
<TABLE>
<CAPTION>
                  SIGNATURE                                          TITLE
                  ---------                                          -----
<C>                                              <S>
 
             /s/ BEN M. BRIGHAM                  Chief Executive Officer, President and
- ---------------------------------------------      Chairman of the Board
               Ben M. Brigham
 
             /s/ ANNE L. BRIGHAM                 Executive Vice President and Director
- ---------------------------------------------
               Anne L. Brigham
 
              /s/ JON L. GLASS                   Vice President -- Exploration and Director
- ---------------------------------------------
                Jon L. Glass
 
            /s/ CRAIG M. FLEMING                 Chief Financial Officer (principal financial
- ---------------------------------------------      and accounting officer)
              Craig M. Fleming
 
            /s/ HAROLD D. CARTER                 Director
- ---------------------------------------------
              Harold D. Carter
 
           /s/ ALEXIS M. CRANBERG                Director
- ---------------------------------------------
             Alexis M. Cranberg
 
             /s/ GARY J. MILAVEC                 Director
- ---------------------------------------------
               Gary J. Milavec
 
           /s/ STEPHEN P. REYNOLDS               Director
- ---------------------------------------------
             Stephen P. Reynolds
</TABLE>
 
                                       39
<PAGE>   42
 
                          BRIGHAM EXPLORATION COMPANY
 
                         INDEX TO FINANCIAL STATEMENTS
 
<TABLE>
<CAPTION>
                                                              PAGE
                                                              ----
<S>                                                           <C>
 
Financial Statements of Brigham Exploration Company
  Report of Independent Accountants.........................  F-2
  Consolidated Balance Sheets as of December 31, 1997 and
     1996...................................................  F-3
  Consolidated Statements of Operations for the Years Ended
     December 31, 1997, 1996, and 1995......................  F-4
  Consolidated Statements of Stockholders' Equity as of
     December 31, 1997, 1996, and 1995......................  F-5
  Consolidated Statements of Cash Flows for the Years Ended
     December 31, 1997, 1996, and 1995......................  F-6
  Notes to the Consolidated Financial Statements............  F-7
</TABLE>
 
                                       F-1
<PAGE>   43
 
                       REPORT OF INDEPENDENT ACCOUNTANTS
 
To the Board of Directors
and Stockholders of Brigham Exploration Company
 
     In our opinion, the accompanying consolidated balance sheets and the
related consolidated statements of operations, of stockholders' equity and of
cash flows present fairly, in all material respects, the financial position of
Brigham Exploration Company at December 31, 1997 and 1996, and the results of
its operations and its cash flows for each of the three years in the period
ended December 31, 1997, in conformity with generally accepted accounting
principles. These financial statements are the responsibility of the Company's
management; our responsibility is to express an opinion on these financial
statements based on our audits. We conducted our audits of these statements in
accordance with generally accepted auditing standards which require that we plan
and perform the audit to obtain reasonable assurance about whether the financial
statements are free of material misstatement. An audit includes examining, on a
test basis, evidence supporting the amounts and disclosures in the financial
statements, assessing the accounting principles used and significant estimates
made by management, and evaluating the overall financial statement presentation.
We believe that our audits provide a reasonable basis for the opinion expressed
above.
 
PRICE WATERHOUSE LLP
 
Houston, Texas
March 6, 1998
 
                                       F-2
<PAGE>   44
 
                          BRIGHAM EXPLORATION COMPANY
 
                          CONSOLIDATED BALANCE SHEETS
                                 (IN THOUSANDS)
 
                                     ASSETS
 
<TABLE>
<CAPTION>
                                                                 DECEMBER 31,
                                                              ------------------
                                                               1997       1996
                                                              -------    -------
<S>                                                           <C>        <C>
Current assets:
  Cash and cash equivalents.................................  $ 1,701    $ 1,447
  Accounts receivable.......................................    4,909      2,696
  Prepaid expenses..........................................      280        152
                                                              -------    -------
          Total current assets..............................    6,890      4,295
                                                              -------    -------
Natural gas and oil properties, at cost, net................   84,176     28,005
Other property and equipment, at cost, net..................    1,239        532
Drilling advances paid......................................       78        419
Other noncurrent assets.....................................       18        363
                                                              -------    -------
                                                              $92,401    $33,614
                                                              =======    =======
 
                      LIABILITIES AND STOCKHOLDERS' EQUITY
 
Current liabilities:
  Accounts payable..........................................  $11,892    $ 2,937
  Accrued drilling costs....................................    2,406        915
  Participant advances received.............................      489      1,137
  Other current liabilities.................................      726        628
                                                              -------    -------
          Total current liabilities.........................   15,513      5,617
                                                              -------    -------
Notes payable...............................................   32,000      8,000
Subordinated notes payable -- related party.................       --     16,000
Other noncurrent liabilities................................      507        753
Deferred income tax liability...............................    1,228         --
Commitments and contingencies
Stockholders' equity:
  Predecessor capital.......................................       --      3,244
  Preferred stock, $.01 par value, 10 million shares
     authorized, none issued and outstanding................       --         --
  Common stock, $.01 par value, 30 million shares
     authorized, 12,253,574 issued and outstanding..........      123         --
  Additional paid-in capital................................   44,344         --
  Unearned stock compensation...............................   (1,340)        --
  Retained earnings.........................................       26         --
                                                              -------    -------
          Total stockholders' equity........................   43,153      3,244
                                                              -------    -------
                                                              $92,401    $33,614
                                                              =======    =======
</TABLE>
 
  The Company uses the full cost method to account for its natural gas and oil
                                  properties.
 
        See accompanying notes to the consolidated financial statements.
 
                                       F-3
<PAGE>   45
 
                          BRIGHAM EXPLORATION COMPANY
 
                     CONSOLIDATED STATEMENTS OF OPERATIONS
                     (IN THOUSANDS, EXCEPT PER SHARE DATA)
 
<TABLE>
<CAPTION>
                                                                 YEAR ENDED DECEMBER 31,
                                                              -----------------------------
                                                               1997       1996       1995
                                                              -------    -------    -------
<S>                                                           <C>        <C>        <C>
Revenues:
  Natural gas and oil sales.................................  $ 9,184    $ 6,141    $ 3,578
  Workstation revenue.......................................      637        627        635
                                                              -------    -------    -------
                                                                9,821      6,768      4,213
                                                              -------    -------    -------
Costs and expenses:
  Lease operating...........................................    1,151        726        761
  Production taxes..........................................      549        362        165
  General and administrative................................    3,570      2,199      1,897
  Depletion of natural gas and oil properties...............    2,732      2,323      1,626
  Depreciation and amortization.............................      306        487        533
  Amortization of stock compensation........................      276         --         --
                                                              -------    -------    -------
                                                                8,584      6,097      4,982
                                                              -------    -------    -------
     Operating income (loss)................................    1,237        671       (769)
                                                              -------    -------    -------
Other income (expense):
  Interest income...........................................      145         52        128
  Interest expense..........................................   (1,017)      (373)      (187)
  Interest expense -- related party.........................     (173)      (800)      (749)
                                                              -------    -------    -------
                                                               (1,045)    (1,121)      (808)
                                                              -------    -------    -------
Net income (loss) before income taxes.......................      192       (450)    (1,577)
Income tax expense..........................................   (1,228)        --         --
                                                              -------    -------    -------
          Net loss..........................................  $(1,036)   $  (450)   $(1,577)
                                                              =======    =======    =======
Net loss per share:
  Basic/Diluted.............................................  $ (0.09)   $ (0.05)   $ (0.18)
Common shares outstanding:
  Basic/Diluted.............................................   11,081      8,929      8,929
</TABLE>
 
        See accompanying notes to the consolidated financial statements.
 
                                       F-4
<PAGE>   46
 
                          BRIGHAM EXPLORATION COMPANY
 
           CONSOLIDATED STATEMENT OF CHANGES IN STOCKHOLDERS' EQUITY
                                 (IN THOUSANDS)
 
<TABLE>
<CAPTION>
                                    COMMON STOCK       ADDITIONAL     UNEARNED
                                --------------------    PAID-IN        STOCK       RETAINED   PREDECESSOR
                                  SHARES     AMOUNTS    CAPITAL     COMPENSATION   EARNINGS     CAPITAL      TOTAL
                                ----------   -------   ----------   ------------   --------   -----------   -------
<S>                             <C>          <C>       <C>          <C>            <C>        <C>           <C>
Balance, December 31, 1994....          --    $ --      $    --       $    --        $--        $ 5,271     $ 5,271
  Net loss....................          --      --           --            --         --         (1,577)     (1,577)
                                ----------    ----      -------       -------        ---        -------     -------
Balance, December 31, 1995....          --      --           --            --         --          3,694       3,694
  Net loss....................          --      --           --            --         --           (450)       (450)
                                ----------    ----      -------       -------        ---        -------     -------
Balance, December 31, 1996....          --      --           --            --         --          3,244       3,244
  Consummation of the
     Exchange.................   8,928,574      90       19,580            --         --         (3,244)     16,426
  Issuance of stock options...          --      --        1,932        (1,932)        --             --          --
  Issuance of common stock....   3,325,000      33       23,894            --         --             --      23,927
  Net loss for period ended
     February 27, 1997........          --      --       (4,869)           --         --             --      (4,869)
  Net income for period from
     February 27, 1997 to Dec.
     31, 1997 (Note 1)........          --      --        3,807            --         26             --       3,833
  Amortization of unearned
     stock compensation.......          --      --           --           592         --             --         592
                                ----------    ----      -------       -------        ---        -------     -------
Balance, December 31, 1997....  12,253,574    $123      $44,344       $(1,340)       $26        $    --     $43,153
                                ==========    ====      =======       =======        ===        =======     =======
</TABLE>
 
        See accompanying notes to the consolidated financial statements.
 
                                       F-5
<PAGE>   47
 
                          BRIGHAM EXPLORATION COMPANY
 
                     CONSOLIDATED STATEMENTS OF CASH FLOWS
                                 (IN THOUSANDS)
 
<TABLE>
<CAPTION>
                                                                 YEAR ENDED DECEMBER 31,
                                                             --------------------------------
                                                               1997        1996        1995
                                                             --------    --------    --------
<S>                                                          <C>         <C>         <C>
Cash flows from operating activities:
  Net loss.................................................  $ (1,036)   $   (450)   $ (1,577)
  Adjustments to reconcile net loss to cash provided by
     operating activities:
     Depletion of natural gas and oil properties...........     2,732       2,323       1,626
     Depreciation and amortization.........................       306         487         533
     Amortization of stock compensation....................       276          --          --
     Changes in working capital and other items:
       (Increase) decrease in accounts receivable..........    (2,213)     (1,440)        413
       (Increase) decrease in prepaid expenses.............      (128)         25        (107)
       Increase in accounts payable........................     8,955       1,619         128
       Increase (decrease) in participant advances
          received.........................................      (648)        804          92
       Increase in other current liabilities...............        50          60         151
       Increase in deferred interest payable -- related
          party............................................        53         320         113
       Increase in deferred income tax liability...........     1,228          --          --
       Other noncurrent assets.............................       281        (224)        (26)
       Other noncurrent liabilities........................       (50)        186          37
                                                             --------    --------    --------
          Net cash provided by operating activities........     9,806       3,710       1,383
                                                             --------    --------    --------
Cash flows from investing activities:
  Additions to natural gas and oil properties..............   (57,170)    (13,612)     (7,935)
  Proceeds from the sale of natural gas and oil
     properties............................................        74       2,149          --
  Additions to other property and equipment................      (545)        (41)        (51)
  (Increase) decrease in drilling advances paid............       341        (292)        (19)
                                                             --------    --------    --------
          Net cash used by investing activities............   (57,300)    (11,796)     (8,005)
                                                             --------    --------    --------
Cash flows from financing activities:
  Proceeds from issuance of common stock...................    23,927          --          --
  Proceeds from issuance of subordinated notes payable.....        --          --      16,000
  Increase in notes payable................................    37,250       8,000       2,560
  Repayment of notes payable...............................   (13,250)         --     (10,510)
  Principal payments on capital lease obligations..........      (179)       (269)       (326)
                                                             --------    --------    --------
          Net cash provided by financing activities........    47,748       7,731       7,724
                                                             --------    --------    --------
Net increase (decrease) in cash and cash equivalents.......       254        (355)      1,102
Cash and cash equivalents, beginning of year...............     1,447       1,802         700
                                                             --------    --------    --------
Cash and cash equivalents, end of year.....................  $  1,701    $  1,447    $  1,802
                                                             ========    ========    ========
Supplemental disclosure of cash flow information:
  Cash paid during the year for interest...................  $  1,679    $    762    $    654
                                                             ========    ========    ========
Supplemental disclosure of noncash investing and financing
  activities:
  Capital lease asset additions............................  $    403    $    101    $    208
                                                             ========    ========    ========
</TABLE>
 
        See accompanying notes to the consolidated financial statements.
 
                                       F-6
<PAGE>   48
 
                          BRIGHAM EXPLORATION COMPANY
 
                 NOTES TO THE CONSOLIDATED FINANCIAL STATEMENTS
 
1. ORGANIZATION AND NATURE OF OPERATIONS
 
     Brigham Exploration Company is a Delaware corporation formed on February
25, 1997 for the purpose of exchanging its common stock for the common stock of
Brigham, Inc. and the partnership interests of Brigham Oil & Gas, L.P. (the
"Partnership"). Hereinafter, Brigham Exploration Company and the Partnership are
collectively referred to as "the Company." Brigham, Inc. is a Nevada corporation
whose only asset is its ownership interest in the Partnership. The Partnership
was formed in May 1992 to explore and develop onshore domestic natural gas and
oil properties using 3-D seismic imaging and other advanced technologies. Since
its inception, the Partnership has focused its exploration and development of
natural gas and oil properties primarily in the Permian and Hardeman Basins of
West Texas, the Anadarko Basin and the onshore Gulf Coast.
 
     Pursuant to an exchange agreement dated February 26, 1997 (the "Exchange
Agreement") and upon the initial filing on February 27, 1997 of a registration
statement with the Securities and Exchange Commission for the public offering of
common stock (the "Offering"), the shareholders of Brigham, Inc. transferred all
of the outstanding stock of Brigham, Inc. to the Company in exchange for
3,859,821 shares of common stock of the Company. Pursuant to the Exchange
Agreement, the Partnership's other general partner and the limited partners also
transferred all of their partnership interests to the Company in exchange for
3,314,286 shares of common stock of the Company. Furthermore, the holders of the
Partnership's subordinated convertible notes transferred these notes to the
Company in exchange for 1,754,464 shares of common stock. These transactions are
referred to as "the Exchange." In completing the Exchange, the Company issued
8,928,571 shares of common stock to the stockholders of Brigham, Inc., the
partners of the Partnership and the holder of the Partnership's subordinated
notes payable. As a result of the Exchange, the Company now owns all the
partnership interests in the Partnership. In May 1997, the Company sold
3,325,000 shares of its common stock in the Offering at a price of $8.00 per
share. With a portion of the proceeds from the Offering, the Company repaid the
$13.3 million in outstanding borrowings under the existing revolving credit
facility.
 
2. SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES
 
  Basis of Accounting
 
     The preparation of financial statements in conformity with generally
accepted accounting principles requires management to make estimates and
assumptions that affect the reported amounts of assets and liabilities and
disclosure of contingent assets and liabilities at the date of the financial
statements and the reported amounts of revenues and expenses during the
reporting period. Actual results may differ from those estimates.
 
     The Exchange has been reflected in the consolidated financial statements of
the Company as a reorganization.
 
  Principles of Consolidation
 
     The accompanying financial statements include the accounts of the Company
and its wholly-owned subsidiaries, and its proportionate share of assets,
liabilities and income and expenses of the limited partnerships in which the
Company, or any of its subsidiaries has a participating interest. All
significant intercompany accounts and transactions have been eliminated.
 
  Cash and Cash Equivalents
 
     The Company considers all highly liquid financial instruments with an
original maturity of three months or less to be cash equivalents.
 
                                       F-7
<PAGE>   49
                          BRIGHAM EXPLORATION COMPANY
 
         NOTES TO THE CONSOLIDATED FINANCIAL STATEMENTS -- (CONTINUED)
 
  Property and Equipment
 
     The Company uses the full cost method of accounting for its investment in
natural gas and oil properties. Under this method, all acquisition, exploration
and development costs, including certain payroll and other internal costs,
incurred for the purpose of finding natural gas and oil reserves are
capitalized. Costs associated with production and general corporate activities
are expensed in the period incurred.
 
     The capitalized costs of the Company's natural gas and oil properties plus
future development, dismantlement, restoration and abandonment costs (the
"Amortizable Base"), net of estimated of salvage values, are amortized using the
unit-of-production method based upon estimates of total proved reserve
quantities. The Company's capitalized costs of its natural gas and oil
properties, net of accumulated amortization, are limited to the total of
estimated future net cash flows from proved natural gas and oil reserves,
discounted at ten percent, plus the cost of unevaluated properties. There are
many factors, including global events, that may influence the production,
processing, marketing and valuation of natural gas and oil. A reduction in the
valuation of natural gas and oil properties resulting from declining prices or
production could adversely impact depletion rates and ceiling test limitations.
 
     All costs directly associated with the acquisition and evaluation of
unproved properties are initially excluded from the Amortizable Base. Upon the
interpretation by the Company of the 3-D seismic data associated with unproved
properties, the geological and geophysical costs related to acreage that is not
specifically identified as prospective are added to the Amortizable Base.
Geological and geophysical costs associated with prospective acreage, as well as
leasehold costs, are added to the Amortizable Base when the prospects are
drilled. Costs of prospective acreage are reviewed annually for impairment on a
property-by-property basis.
 
     Other property and equipment, which primarily consists of 3-D seismic
interpretation workstations, are depreciated on a straight-line basis over the
estimated useful lives of the assets after considering salvage value. Estimated
useful lives are as follows:
 
<TABLE>
<S>                                                           <C>
Furniture and fixtures......................................  10 years
Machinery and equipment.....................................   5 years
3-D seismic interpretation workstations and software........   3 years
</TABLE>
 
     Betterments and major improvements that extend the useful lives are
capitalized, while expenditures for repairs and maintenance of a minor nature
are expensed as incurred.
 
  Revenue Recognition
 
     The Company recognizes natural gas and oil sales from its interests in
producing wells under the sales method of accounting. Under the sales method,
the Company recognizes revenues based on the amount of natural gas or oil sold
to purchasers, which may differ from the amounts to which the Company is
entitled based on its interest in the properties. Gas balancing obligations as
of December 31, 1995, 1996 and 1997 were not significant. Net realized gains or
losses arising from the Company's crude oil price swaps (see Note 10) are
recognized in the period incurred as a component of natural gas and oil sales.
 
     Industry participants in the Company's seismic programs are charged on an
hourly basis for the work performed by the Company on its 3-D seismic
interpretation workstations. The Company recognizes workstation revenue as
service is provided.
 
  Federal and State Income Taxes
 
     Prior to the consummation of the Exchange, there was no income tax
provision included in the financial statements as the Partnership was not a
taxpaying entity. Income and losses were passed through to its
 
                                       F-8
<PAGE>   50
                          BRIGHAM EXPLORATION COMPANY
 
         NOTES TO THE CONSOLIDATED FINANCIAL STATEMENTS -- (CONTINUED)
 
partners on the basis of the allocation provisions established by the
partnership agreement. Upon consummation of the Exchange, the Partnership became
subject to federal income taxes through its ownership by the Company.
 
     In conjunction with the Exchange, the Company recorded a deferred income
tax liability of $5 million to recognize the temporary differences between the
financial statement and tax bases of the assets and liabilities of the
Partnership at the Exchange date, February 27, 1997, given the provisions of
enacted tax laws. Subsequent to this date, the Company elected to record a
step-up in basis of its assets for tax purposes as a result of the Exchange.
Related to this election, the Company recorded a $3.8 million deferred income
tax benefit, resulting in a net $1.2 million deferred income tax charge for the
year ended December 31, 1997.
 
  Earnings Per Share
 
     The Company has adopted Statement of Financial Accounting Standards
("SFAS") No. 128 "Earnings per Share." This statement establishes new standards
for computing and presenting earnings per share ("EPS") and requires restatement
of all prior-period EPS information.
 
  Recent Pronouncements
 
     In June 1997, the Financial Accounting Standards Board issued SFAS No. 130,
"Reporting Comprehensive Income," which will become effective for the Company in
1998. SFAS No. 130 will require companies to present certain items as separate
components of stockholders' equity. Management does not believe that the effect
of implementing this standard will materially impact the Company's financial
statements.
 
3. ACQUISITION
 
     On November 12, 1997, the Company acquired a 50% interest in certain
producing properties in Grady County, Oklahoma (the "Acquisition"). These
properties were formerly owned by Mobil and were acquired by Ward Petroleum. The
acquisition has been accounted for as a purchase and the results of operations
of the properties acquired are included in the Company's results of operations
effective September 1, 1997. The purchase price of $13.4 million was financed
primarily through the Company's existing revolving credit facility and was based
on the Company's determination of the fair value of the assets acquired.
 
  Pro Forma Information
 
     The following unaudited pro forma statement of operations information has
been prepared to give effect to the Acquisition as if the transaction had
occurred at the beginning of 1996 and 1997. The historical results of operations
have been adjusted to reflect (i) the difference between the acquired
properties' historical depletion and such expense calculated based on the value
allocated to the acquired assets, (ii) the increase in interest expense
associated with the debt issued in the transaction, and (iii) the increase in
federal income taxes related to historical net income attributable to the
properties acquired. The pro forma amounts do not
 
                                       F-9
<PAGE>   51
                          BRIGHAM EXPLORATION COMPANY
 
         NOTES TO THE CONSOLIDATED FINANCIAL STATEMENTS -- (CONTINUED)
 
purport to be indicative of the results of operations that would have been
reported had the Acquisition occurred as of the dates indicated, or that may be
reported in the future (in thousands).
 
<TABLE>
<CAPTION>
                                                                  PRO FORMA
                                                                 YEAR ENDED
                                                                DECEMBER 31,
                                                              -----------------
                                                               1997       1996
                                                              -------    ------
<S>                                                           <C>        <C>
Revenues....................................................  $11,194    $8,516
Costs and expenses:
  Lease operating and production taxes......................    1,864     1,300
  General and administrative................................    3,570     2,199
  Depletion of natural gas and oil properties...............    3,307     2,791
  Depreciation and amortization.............................      582       487
  Interest expense, net.....................................    2,235     2,355
                                                              -------    ------
  Total costs and expenses..................................   11,558     9,132
                                                              -------    ------
Net loss before income taxes................................     (364)     (616)
  Income tax expense........................................    1,039        --
                                                              -------    ------
Net loss....................................................  $(1,403)   $ (616)
                                                              =======    ======
Net loss per share:
  Basic/Diluted.............................................  $ (0.13)   $(0.07)
                                                              =======    ======
Common shares outstanding:
  Basic/Diluted.............................................   11,081     8,929
                                                              =======    ======
</TABLE>
 
4. PROPERTY AND EQUIPMENT
 
     Property and equipment, at cost, are summarized as follows (in thousands):
 
<TABLE>
<CAPTION>
                                                                 DECEMBER 31,
                                                              -------------------
                                                                1997       1996
                                                              --------    -------
<S>                                                           <C>         <C>
Natural gas and oil properties..............................  $ 96,458    $37,555
Accumulated depletion.......................................   (12,282)    (9,550)
                                                              --------    -------
                                                                84,176     28,005
                                                              --------    -------
Other property and equipment:
  3-D seismic interpretation workstations and software......     1,693      1,456
  Office furniture and equipment............................     1,095        384
  Accumulated depreciation..................................    (1,549)    (1,308)
                                                              --------    -------
                                                                 1,239        532
                                                              --------    -------
                                                              $ 85,415    $28,537
                                                              ========    =======
</TABLE>
 
     The Company sold its interest in certain producing properties for $2.1
million and $74,000 during 1996 and 1997, respectively. No gain or loss was
recognized on these transaction because the Company applies the full cost method
of accounting for its investment in natural gas and oil properties.
 
     The Company capitalizes certain payroll and other internal costs directly
attributable to acquisition, exploration and development activities as part of
its investment in natural gas and oil properties over the periods benefited by
these activities. During the years ended December 31, 1995, 1996 and 1997,
certain payroll and other internal costs incurred of $1,640,196, $1,826,013 and
$3,330,518, respectively, were capitalized.
 
                                      F-10
<PAGE>   52
                          BRIGHAM EXPLORATION COMPANY
 
         NOTES TO THE CONSOLIDATED FINANCIAL STATEMENTS -- (CONTINUED)
 
5. NOTES PAYABLE AND SUBORDINATED NOTES PAYABLE
 
     In April 1996, the Company entered into a revolving credit facility with
Bank One, Texas, NA (the "Bank One Facility") which provided for borrowings up
to $25 million. On November 10, 1997, the Bank One Facility was amended and the
amount available under the agreement was increased to $75 million. The Company's
borrowings under the Bank One Facility were limited to a borrowing base
determined periodically by the lender. This determination was based upon the
Company's proved net gas and oil properties.
 
     The amounts outstanding under the revolving credit facility, excluding a
$5.4 million special advance made November 12, 1997, bore interest, at the
borrower's option, at the Base Rate or (i) LIBOR plus 1.75% if the principal
outstanding is less than or equal to 50% of the borrowing base, (ii) LIBOR plus
2.0% if the principal outstanding is less than or equal to 75% but more than 50%
of the borrowing base, and (iii) LIBOR plus 2.25% if the principal outstanding
is greater than 75% of the borrowing base. The Base Rate is the fluctuating rate
of interest per annum established from time to time by the lender. Interest
accrued on the $5.4 million special advance at 11.50% per annum. The Company
also paid a quarterly commitment fee of 0.5% per annum for the unused portion of
the borrowing base.
 
     In January 1998, the Company entered into a reserve-based revolving credit
facility with the Bank of Montreal (the "Bank of Montreal Facility"). The Bank
of Montreal Facility provides for borrowings up to $75 million, all of which was
immediately available for borrowing, until January 31, 1999, at which time the
borrowing available will be redetermined by the Bank of Montreal based on the
Company's proved reserve value at that time. The Company may elect, at its
option, to have the borrowing availability redetermined based on the Company's
proved reserve value at any time prior to January 31, 1999. Amounts outstanding
under the Bank of Montreal Facility bear interest at either the lender's Base
Rate or LIBOR plus 2.25%, at the Company's option. The Company's obligations
under the Bank of Montreal Facility are secured by substantially all of the
natural gas and oil properties of the Company. A portion of the funds available
under the Bank of Montreal Facility were used to repay in full the Bank One
Facility.
 
     The subordinated notes payable bore interest at 5% per annum and were due
in 2002. The notes were convertible into a 20% interest in the Company at any
time prior to maturity and were unsecured. Interest payments of 3% were due
semi-annually and the remaining 2% was deferred until maturity. Pursuant to the
Exchange (see Note 1), the holders of these notes exchanged the notes and
related deferred interest for shares of the Company's common stock.
 
6. CAPITAL LEASE OBLIGATIONS
 
     Property under capital leases consists of the following (in thousands):
 
<TABLE>
<CAPTION>
                                                              DECEMBER 31,
                                                              -------------
                                                              1997    1996
                                                              ----    -----
<S>                                                           <C>     <C>
3-D seismic interpretation workstations and software........  $497    $ 525
Office furniture and equipment..............................   204       17
                                                              ----    -----
                                                               701      542
Accumulated depreciation and amortization...................  (241)    (305)
                                                              ----    -----
                                                              $460    $ 237
                                                              ====    =====
</TABLE>
 
                                      F-11
<PAGE>   53
                          BRIGHAM EXPLORATION COMPANY
 
         NOTES TO THE CONSOLIDATED FINANCIAL STATEMENTS -- (CONTINUED)
 
     The obligations under capital leases are at fixed interest rates ranging
from 9% to 17% and are collateralized by property, plant and equipment. The
future minimum lease payments under the capital leases and the present value of
the net minimum lease payments at December 31, 1997 are as follows (in
thousands):
 
<TABLE>
<S>                                                           <C>
1998........................................................  $ 261
1999........................................................    185
2000........................................................     99
2001........................................................     40
2002........................................................     24
                                                              -----
Total minimum lease payments................................    609
  Estimated executory costs included in capital leases......    (73)
                                                              -----
Net minimum lease payments..................................    536
  Amounts representing interest.............................    (81)
                                                              -----
Present value of net minimum lease payments.................    455
Less: current portion.......................................   (181)
                                                              -----
Noncurrent portion..........................................  $ 274
                                                              =====
</TABLE>
 
7. INCOME TAXES
 
     The provision for income taxes consists of the following (in thousands):
 
<TABLE>
<CAPTION>
                                                               YEAR ENDED
                                                              DECEMBER 31,
                                                                  1997
                                                              ------------
<S>                                                           <C>
Current income taxes:
  Federal...................................................     $   --
  State.....................................................         --
Deferred income taxes:
  Federal...................................................      1,228
  State.....................................................         --
                                                                 ------
                                                                 $1,228
                                                                 ======
</TABLE>
 
     The difference in income taxes provided and the amounts determined by
applying the federal statutory tax rate to income before income taxes result
from the following (in thousands):
 
<TABLE>
<CAPTION>
                                                               YEAR ENDED
                                                              DECEMBER 31,
                                                                  1997
                                                              ------------
<S>                                                           <C>
Tax at statutory rate.......................................     $   65
Add (deduct) the effect of:
  January and February income, not taxable..................        (44)
  Nondeductible expenses....................................         14
  Tax effect of Exchange....................................      1,193
                                                                 ------
                                                                 $1,228
                                                                 ======
</TABLE>
 
                                      F-12
<PAGE>   54
                          BRIGHAM EXPLORATION COMPANY
 
         NOTES TO THE CONSOLIDATED FINANCIAL STATEMENTS -- (CONTINUED)
 
     The components of deferred income tax assets and liabilities are as follows
(in thousands):
 
<TABLE>
<CAPTION>
                                                              DECEMBER 31,
                                                                  1997
                                                              ------------
<S>                                                           <C>
Deferred tax assets:
  Net operating loss carryforwards..........................    $ 5,563
  Amortization of stock compensation........................         94
  Other.....................................................          3
                                                                -------
                                                                  5,660
Deferred tax liability:
  Depreciable and depletable property.......................     (6,888)
                                                                -------
                                                                $(1,228)
                                                                =======
</TABLE>
 
     The Company has regular and alternative minimum tax net operating loss
carryforwards of approximately $16,361 million and $8,441 million, respectively,
each including separate return limitation year carryovers of approximately
$1,352 million, which expire by December 31, 2012.
 
8. EARNINGS PER SHARE
 
     Earnings per share have been calculated in accordance with the provisions
of SFAS No. 128. The implementation of the standard has resulted in the
presentation of a basic EPS calculation in the consolidated financial statements
as well as a diluted EPS calculation. Basic EPS is computed by dividing net
income (loss) applicable to common shareholders by the weighted average number
of common shares outstanding during each period. Diluted EPS is computed by
dividing net income (loss) applicable to common shareholders by the weighted
average number of common shares and common share equivalents outstanding (if
dilutive), during each period. The number of common share equivalents
outstanding is computed using the treasury stock method.
 
     Historical earnings per common share for 1996 and 1995 is based on shares
issued upon consummation of the Exchange (Note 1), assuming such shares had been
outstanding for all periods presented. Earnings per share for 1997 is presented
giving effect to the shares issued pursuant to the Exchange as well as shares
issued in the initial public offering.
 
     At December 31, 1997, options to purchase 644,097 shares of common stock
were outstanding but were not included in the computation of diluted earnings
per share due to the anti-dilutive effect they would have on EPS if converted.
 
     In January 1998, the Company granted 309,247 stock options under the 1997
incentive plan (the "1997 Incentive Plan") with an exercise price of $12.88.
 
9. COMMITMENTS AND CONTINGENCIES
 
     The Company is, from time to time, party to certain lawsuits and claims
arising in the ordinary course of business. While the outcome of lawsuits and
claims cannot be predicted with certainty, management does not expect these
matters to have a materially adverse effect on the financial condition, results
of operations or cash flows of the Company.
 
                                      F-13
<PAGE>   55
                          BRIGHAM EXPLORATION COMPANY
 
         NOTES TO THE CONSOLIDATED FINANCIAL STATEMENTS -- (CONTINUED)
 
     The Company leases office equipment and space under operating leases
expiring at various dates through 2007. The future minimum annual rental
payments under the noncancelable terms of these leases at December 31, 1997, are
as follows (in thousands):
 
<TABLE>
<S>                                                           <C>
1998........................................................  $  765
1999........................................................     763
2000........................................................     684
2001........................................................     684
2002........................................................     342
                                                              ------
                                                              $3,238
                                                              ======
</TABLE>
 
     Rental expense for the years ended December 31, 1995, 1996 and 1997 was
$239,715, $253,112 and $606,173, respectively.
 
     Since the Company's major products are commodities, significant changes in
the prices of natural gas and oil could have a significant impact on the
Company's results of operations for any particular year.
 
     As of December 31, 1997, there were no known environmental or other
regulatory matters related to the Company's operations which are reasonably
expected to result in a material liability to the Company. Compliance with
environmental laws and regulations has not had, and is not expected to have, a
material adverse effect on the Company's capital expenditures, earnings or
competitive position.
 
     During 1997, approximately 14% and 12% of the Company's natural gas and oil
production was sold to two separate customers. During 1996, approximately 16%,
12% and 10% of the Company's natural gas and oil production was sold to three
separate customers. During 1995, approximately 14%, 11%, 10% and 10% of the
Company's natural gas and oil production was sold to four separate customers.
However, due to the availability of other markets, the Company does not believe
that the loss of any one of these individual customers would adversely affect
the Company's result of operations.
 
10. FINANCIAL INSTRUMENTS
 
     The Company periodically enters into commodity price swap agreements which
require payments to (or receipts from) counterparties based on the differential
between a fixed price and a variable price for a fixed quantity of natural gas
or crude oil without the exchange of the underlying volumes. The notional
amounts of these derivative financial instruments are based on planned
production from existing wells. The Company uses these derivative financial
instruments to manage market risks resulting from fluctuations in commodity
prices. Commodity price swaps are effective in minimizing these risks by
creating essentially equal and offsetting market exposures. The derivative
financial instruments held by the Company are not leveraged and are held for
purposes other than trading.
 
     At December 31, 1996, the Company was a party to crude oil swap based on an
average notional volume of 7,550 barrels of crude oil per month and a fixed
price of $22.70 per barrel. The contract expired in May 1997. The fair market
value of the crude oil price swap at December 31, 1996, based on the market
price of crude oil in December 1996, was $41,902. The Company was not a party to
any swap agreements at December 31, 1997.
 
     In February 1998, the Company entered into a hedging contract whereby
natural gas is purchased and sold subject to a fixed price swap agreement for
monthly periods from April 1998 through October 1999. Total natural gas subject
to this hedging contract is 2,750,000 MMBtu in 1998 and 3,040,000 MMBtu in 1999.
 
     The Company's non-derivative financial instruments include cash and cash
equivalents, accounts receivable, accounts payable and long-term debt. The
carrying amount of cash and cash equivalents, accounts
 
                                      F-14
<PAGE>   56
                          BRIGHAM EXPLORATION COMPANY
 
         NOTES TO THE CONSOLIDATED FINANCIAL STATEMENTS -- (CONTINUED)
 
receivable and accounts payable approximate fair value because of their
immediate or short maturities. The carrying value of the Company's revolving
credit facility (see Note 5) approximates its fair market value since it bears
interest at floating market interest rates. At December 31, 1996, the carrying
amount of the Company's subordinated notes payable exceeded the fair market
value by $1.9 million, based on current rates offered to the Company for debt of
the same remaining maturity.
 
     The Company's accounts receivable relate to natural gas and oil sales to
various industry companies, amounts due from industry participants for
expenditures made by the Company on their behalf and workstation revenues.
Credit terms, typical of industry standards, are of a short-term nature and the
Company does not require collateral. The Company's accounts receivable at
December 31, 1997 do not represent significant credit risks as they are
dispersed across many counterparties. Counterparties to the crude oil price
swaps are investment grade financial institutions.
 
11.  EMPLOYEE BENEFIT PLANS
 
  Retirement Savings Plan
 
     During 1996 the Company adopted a defined contribution 401(k) plan for
substantially all of its employees. Eligible employees may contribute up to 15%
of their compensation to this plan. The 401(k) plan provides that the Company
may, at its discretion, match employee contributions. The Company did not match
employee contributions in 1997 or 1996.
 
  Stock Compensation
 
     In 1994 three employees were granted restricted interests in the Company
which vest in increments through July 1999. At the date of grant, the value of
these interests was immaterial. On February 26, 1997, in connection with the
Exchange (see Note 1), the three employees transferred these company interests
to the Company in exchange for 156,250 shares of restricted common stock of the
Company. The terms of the restricted stock and the restricted company interests
are substantially the same. The shares vest over a three-year period ending in
1999. No compensation expense will result from this exchange.
 
     The Company adopted an incentive plan, effective upon completion of the
Exchange (see Note 1), which provides for the issuance of stock options, stock
appreciation rights, stock, restricted stock, cash or any combination of the
foregoing. The objective of this plan is to reward key employees whose
performance may have a significant effect on the success of the Company. An
aggregate of 1,588,170 shares of the Company's common stock was reserved for
issuance pursuant to this plan. The Compensation Committee of the Board of
Directors will determine the type of awards made to each participant and the
terms, conditions and limitations applicable to each award.
 
     The Company granted 644,097 stock options as of March 4, 1997. These
options were granted under the 1997 Incentive Plan established as part of the
Exchange (Note 1). These options have contractual lives of 7.3 years and an
exercise price of $5.00 compared to the public offering price of $8.00. This
grant resulted in noncash compensation expense which is recognized over the
appropriate vesting period. None of these options were exercisable at December
31, 1997.
 
     As provided under SFAS 123, the Company estimates that the fair value of
these options on their grant date, using the Black-Sholes Option Pricing Model,
was $3.4 million ($5.32 per option). This valuation was determined using the
following assumptions: risk free interest rate of 6.24%; volatility factor of
the expected market prices of the Company's common stock of 38%; no expected
dividends; and weighted average option lives of 7.3 years. If this valuation
method were elected for accounting purposes, the estimated fair value of $3.4
million would be amortized over the appropriate vesting periods of the options
through 2003, resulting in a pro forma net loss for the year ended December 31,
1997 of $1.3 million, or $0.11 per common share.
 
                                      F-15
<PAGE>   57
                          BRIGHAM EXPLORATION COMPANY
 
         NOTES TO THE CONSOLIDATED FINANCIAL STATEMENTS -- (CONTINUED)
 
12. RELATED PARTY TRANSACTIONS
 
     During the years ended December 31, 1995, 1996 and 1997, the Company paid
approximately $382,000, $596,000 and $837,000 respectively, in fees for land
acquisition services performed by a company owned by a brother of the Company's
President and Chief Executive Officer. Other participants in the Company's 3-D
seismic projects reimbursed the Company for a portion of these amounts.
 
     The Company also participated in various industry projects with affiliates
of the holder of the subordinated notes payable (see Note 5). During 1996 and
1997, the Company received approximately $123,000 and $50,000, respectively, for
workstation and geoscientists' time spent interpreting 3-D seismic data and
workstation use. In 1997, the Company paid approximately $214,000 for an
interest in an exploration project sold by the affiliates. The Company billed
the affiliates $197,000 in 1997 for their proportionate share of costs related
to this and other projects in which the affiliates participate. The Company also
sold to an affiliate of the holders of the subordinated notes payable an
interest in (i) a 3-D project for approximately $75,000 in 1995 and (ii) two 3-D
delineated potential drilling locations and 3-D seismic data for approximately
$83,000 in 1996.
 
     In 1996 and 1997, the Company paid $110,000 and $18,000 for working
interests in natural gas and oil properties owned by affiliates of a member of
the Company's board of directors/management committee. The Company billed the
affiliates $13,000 and $68,000 in 1995 and 1996, respectively, for their
proportionate share of the costs related to this project.
 
     A limited partner and member of the Company's management committee served
as a consultant to the Company on various aspects of the Company's business and
strategic issues. Fees paid for these services by the Company were $72,000,
$79,200 and $86,580 for the twelve month periods ended December 31, 1995, 1996
and 1997, respectively. Additional disbursements totaling approximately $13,000
were made during 1997 for the reimbursement of certain expenses.
 
13. NATURAL GAS AND OIL EXPLORATION AND PRODUCTION ACTIVITIES
 
     The tables presented below provide supplemental information about natural
gas and oil exploration and production activities as defined by SFAS No. 69,
"Disclosures about Oil and Gas Producing Activities."
 
Results of Operations for Natural Gas and Oil Producing Activities (in
thousands)
 
<TABLE>
<CAPTION>
                                                            YEAR ENDED DECEMBER 31,
                                                           --------------------------
                                                            1997      1996      1995
                                                           ------    ------    ------
<S>                                                        <C>       <C>       <C>
Natural gas and oil sales................................  $9,184    $6,141    $3,578
Costs and expenses:
  Lease operating........................................   1,151       726       761
  Production taxes.......................................     549       362       165
  Depletion of natural gas and oil properties............   2,732     2,323     1,626
  Income taxes...........................................   1,322        --        --
                                                           ------    ------    ------
Total costs and expenses.................................   5,754     3,411     2,552
                                                           ------    ------    ------
                                                           $3,430    $2,730    $1,026
                                                           ======    ======    ======
Depletion per physical unit of production (equivalent Mcf
  of gas)................................................  $ 0.87    $ 1.13    $ 1.22
                                                           ======    ======    ======
</TABLE>
 
     Natural gas and oil sales reflect the market prices of net production sold
or transferred, with appropriate adjustments for royalties, net profits interest
and other contractual provisions. Lease operating expenses include lifting costs
incurred to operate and maintain productive wells and related equipment,
including such
 
                                      F-16
<PAGE>   58
                          BRIGHAM EXPLORATION COMPANY
 
         NOTES TO THE CONSOLIDATED FINANCIAL STATEMENTS -- (CONTINUED)
 
costs as operating labor, repairs and maintenance, materials, supplies and fuel
consumed. Production taxes include production and severance taxes. No provision
was made for income taxes for 1995 and 1996 since these taxes were the
responsibility of the partners (see Note 2). Depletion of natural gas and oil
properties relates to capitalized costs incurred in acquisition, exploration and
development activities. Results of operations do not include interest expense
and general corporate amounts.
 
  Costs Incurred and Capitalized Costs
 
     The costs incurred in natural gas and oil acquisition, exploration and
development activities follow (in thousands):
 
<TABLE>
<CAPTION>
                                                                DECEMBER 31,
                                                        -----------------------------
                                                         1997       1996       1995
                                                        -------    -------    -------
<S>                                                     <C>        <C>        <C>
Costs incurred for the year:
  Exploration.........................................  $29,421    $10,527    $ 6,893
  Property acquisition................................   26,922      6,195      1,885
  Development.........................................    2,953      1,328        713
  Proceeds from participants..........................     (319)    (4,111)    (1,296)
                                                        -------    -------    -------
                                                        $58,977    $13,939    $ 8,195
                                                        =======    =======    =======
</TABLE>
 
     Costs incurred represent amounts incurred by the Company for exploration,
property acquisition and development activities. Periodically, the Company will
receive proceeds from participants subsequent to project initiation for an
assignment of an interest in the project. These payments are represented by
proceeds from participants.
 
     Capitalized costs related to natural gas and oil acquisition, exploration
and development activities follow (in thousands):
 
<TABLE>
<CAPTION>
                                                                 DECEMBER 31,
                                                              ------------------
                                                               1997       1996
                                                              -------    -------
<S>                                                           <C>        <C>
Cost of natural gas and oil properties at year-end:
  Proved....................................................  $67,615    $30,487
  Unproved..................................................   28,843      7,068
                                                              -------    -------
  Total capitalized costs...................................   96,458     37,555
  Accumulated depletion.....................................  (12,282)    (9,550)
                                                              -------    -------
                                                              $84,176    $28,005
                                                              =======    =======
</TABLE>
 
     Following is a summary of costs (in thousands) excluded from depletion at
December 31, 1997, by year incurred. At this time, the Company is unable to
predict either the timing of the inclusion of these costs and the related
natural gas and oil reserves in its depletion computation or their potential
future impact on depletion rates.
 
<TABLE>
<CAPTION>
                                                 DECEMBER 31,
                                            -----------------------   PRIOR
                                             1997      1996    1995   YEARS     TOTAL
                                            -------   ------   ----   ------   -------
<S>                                         <C>       <C>      <C>    <C>      <C>
Property acquisition......................  $17,382   $2,515   $694   $1,852   $22,443
Exploration...............................    4,393    1,242    234      531     6,400
                                            -------   ------   ----   ------   -------
Total.....................................  $21,775   $3,757   $928   $2,383   $28,843
                                            =======   ======   ====   ======   =======
</TABLE>
 
                                      F-17
<PAGE>   59
                          BRIGHAM EXPLORATION COMPANY
 
         NOTES TO THE CONSOLIDATED FINANCIAL STATEMENTS -- (CONTINUED)
 
14. NATURAL GAS AND OIL RESERVES AND RELATED FINANCIAL DATA (UNAUDITED)
 
     Information with respect to the Company's natural gas and oil producing
activities is presented in the following tables. Reserve quantities as well as
certain information regarding future production and discounted cash flows were
determined by the Company's independent petroleum consultants and internal
petroleum reservoir engineer.
 
  Natural Gas and Oil Reserve Data
 
     The following tables present the Company's estimates of its proved natural
gas and oil reserves. The Company emphasizes that reserve estimates are
approximates and are expected to change as additional information becomes
available. Reservoir engineering is a subjective process of estimating
underground accumulations of natural gas and oil that cannot be measured in an
exact way, and the accuracy of any reserve estimate is a function of the quality
of available data and of engineering and geological interpretation and judgment.
Accordingly, there can be no assurance that the reserves set forth herein will
ultimately be produced nor can there be assurance that the proved undeveloped
reserves will be developed within the periods anticipated. A substantial portion
of the reserve balances were estimated utilizing the volumetric method, as
opposed to the production performance method.
 
<TABLE>
<CAPTION>
                                                              NATURAL
                                                                GAS        OIL
                                                              (MMCF)     (MBBLS)
                                                              -------    -------
<S>                                                           <C>        <C>
Proved reserves at December 31, 1994........................   3,579      1,022
  Revisions to previous estimates...........................  (1,600)      (214)
  Extensions, discoveries and other additions...............   2,555      1,055
  Sales of minerals-in-place................................      (6)       (14)
  Production................................................    (271)      (177)
                                                              ------      -----
Proved reserves at December 31, 1995........................   4,257      1,672
  Revisions to previous estimates...........................  (1,005)      (232)
  Extensions, discoveries and other additions...............   7,742        996
  Purchase of minerals-in-place.............................     260          3
  Sales of minerals-in-place................................    (299)      (272)
  Production................................................    (698)      (227)
                                                              ------      -----
Proved reserves at December 31, 1996........................  10,257      1,940
  Revisions of previous estimates...........................  (3,044)      (447)
  Extensions, discoveries and other additions...............  33,721        735
  Purchase of minerals-in-place.............................  13,718      1,244
  Sales of minerals-in-place................................     (40)        --
  Production................................................  (1,382)      (291)
                                                              ------      -----
Proved reserves at December 31, 1997........................  53,230      3,181
                                                              ======      =====
Proved developed reserves at December 31:
  1995......................................................   3,819      1,274
  1996......................................................   6,034      1,453
  1997......................................................  30,677      2,665
</TABLE>
 
     Proved reserves are estimated quantities of crude natural gas and oil which
geological and engineering data indicate with reasonable certainty to be
recoverable in future years from known reservoirs under existing economic and
operating conditions. Proved developed reserves are proved reserves which can be
expected to be recovered through existing wells with existing equipment and
operating methods.
 
                                      F-18
<PAGE>   60
                          BRIGHAM EXPLORATION COMPANY
 
         NOTES TO THE CONSOLIDATED FINANCIAL STATEMENTS -- (CONTINUED)
 
  Standardized Measure of Discounted Future Net Cash Inflows and Changes Therein
 
     The following table presents a standardized measure of discounted future
net cash inflows (in thousands) relating to proved natural gas and oil reserves.
Future cash flows were computed by applying year end prices of natural gas and
oil relating to the Company's proved reserves to the estimated year-end
quantities of those reserves. Future price changes were considered only to the
extent provided by contractual agreements in existence at year-end. Future
production and development costs were computed by estimating those expenditures
expected to occur in developing and producing the proved natural gas and oil
reserves at the end of the year, based on year-end costs. Actual future cash
inflows may vary considerably and the standardized measure does not necessarily
represent the fair value of the Company's natural gas and oil reserves.
 
<TABLE>
<CAPTION>
                                                                       DECEMBER 31,
                                                             --------------------------------
                                                               1997        1996        1995
                                                             --------    --------    --------
<S>                                                          <C>         <C>         <C>
Future cash inflows........................................  $165,156    $ 84,987    $ 38,333
Future development and production costs....................   (40,923)    (20,998)    (12,543)
Future income taxes........................................   (22,919)         --          --
                                                             --------    --------    --------
Future net cash inflows....................................  $101,314    $ 63,989    $ 25,790
                                                             ========    ========    ========
Future net cash inflow before income taxes, discounted at
  10% per annum............................................  $ 69,249    $ 44,506    $ 18,222
                                                             ========    ========    ========
Standardized measure of future net cash inflows discounted
  at 10% per annum.........................................  $ 64,274    $ 44,506    $ 18,222
                                                             ========    ========    ========
</TABLE>
 
     The average natural gas and oil prices used to calculate the future net
cash inflows at December 31, 1997 were $16.64 per barrel and $2.11 per Mcf,
respectively. At December 31, 1997, the NYMEX price for natural gas was $2.26
per MMBtu and the NYMEX price for oil was $17.64 per barrel. From January 1,
1998 to March 24, 1998, the NYMEX price for natural gas ranged from $2.00 per
MMBtu to $2.38 per MMBtu and the NYMEX price for oil ranged from $13.21 per
barrel to $17.82 per barrel.
 
     Changes in the future net cash inflows discounted at 10% per annum follow:
 
<TABLE>
<CAPTION>
                                                                DECEMBER 31,
                                                       ------------------------------
                                                         1997       1996       1995
                                                       --------    -------    -------
<S>                                                    <C>         <C>        <C>
Beginning of period..................................  $ 44,506    $18,222    $10,240
  Sales of natural gas and oil produced, net of
     production costs................................    (7,484)    (5,053)    (2,652)
  Development costs incurred.........................     1,955        246        169
  Extensions and discoveries.........................    38,016     29,457     11,669
  Purchases of minerals-in-place.....................    16,965        384         --
  Sales of minerals-in-place.........................       (94)    (2,380)      (198)
  Net change of prices and production costs..........   (20,466)     7,023      1,394
  Change in future development costs.................       319        303        419
  Changes in production rates and other..............    (1,954)      (342)      (364)
  Revisions of quantity estimates....................    (6,964)    (5,176)    (3,479)
  Accretion of discount..............................     4,450      1,822      1,024
  Change in income taxes.............................    (4,975)        --         --
                                                       --------    -------    -------
End of period........................................  $ 64,274    $44,506    $18,222
                                                       ========    =======    =======
</TABLE>
 
                                      F-19
<PAGE>   61
 
<TABLE>
<CAPTION>
         NUMBER                                  DESCRIPTION
         ------                                  -----------
<C>                      <S>
         2.1             -- Exchange Agreement (filed as Exhibit 2.1 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
         3.1             -- Certificate of Incorporation (filed as Exhibit 3.1 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
         3.2             -- Bylaws (filed as Exhibit 3.2 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
         4.1             -- Form of Common Stock Certificate (filed as Exhibit 4.1 to
                            the Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.1             -- Agreement of Limited Partnership, dated May 1, 1992,
                            between Brigham Exploration Company and General Atlantic
                            Partners III, L.P. as general partners, and Harold D.
                            Carter and GAP-Brigham Partners, L.P. as limited partners
                            (filed as Exhibit 10.1 to the Company's Registration
                            Statement on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.1.1           -- Amendment No. 1 to Agreement of Limited Partnership of
                            Brigham Oil & Gas, L.P., dated May 1, 1992, by and among
                            Brigham Exploration Company, General Atlantic Partners
                            III, L.P., GAP-Brigham Partners, L.P. and Harold D.
                            Carter (filed as Exhibit 10.1.1 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.1.2           -- Amendment No. 2 to Agreement of Limited Partnership of
                            Brigham Oil & Gas, L.P., dated September 30, 1994, by and
                            among Brigham Exploration Company, General Atlantic
                            Partners III, L.P., GAP-Brigham Partners, L.P., Harold D.
                            Carter and the additional signatories thereto (filed as
                            Exhibit 10.1.2 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.1.3           -- Amendment No. 3 to Agreement of Limited Partnership of
                            Brigham Oil & Gas, L.P., dated August 24, 1995, by and
                            among Brigham Exploration Company, General Atlantic
                            Partners III, L.P., GAP-Brigham Partners, L.P., Harold D.
                            Carter, Craig M. Fleming, David T. Brigham and Jon L.
                            Glass (filed as Exhibit 10.1.3 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.2             -- Agreement of Limited Partnership of Venture Acquisitions,
                            L.P., dated September 23, 1994, by and between Quest
                            Resources, L.L.C. and RIMCO Energy, Inc. as general
                            partners, and RIMCO Production Company, Inc., RIMCO
                            Exploration Partners, L.P. I and RIMCO Exploration
                            Partners, L.P. II, as limited partners (filed as Exhibit
                            10.2 to the Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.3             -- Regulations of Quest Resources, L.L.C. (filed as Exhibit
                            10.3 to the Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.4             -- Management and Ownership Agreement, dated September 23,
                            1994, by and among Brigham Oil & Gas, L.P., Brigham
                            Exploration Company, General Atlantic Partners III, L.P.,
                            Harold D. Carter, Ben M. Brigham and GAP-Brigham
                            Partners, L.P. (filed as Exhibit 10.4 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.5*            -- Consulting Agreement, dated May 2, 1995, by and between
                            Brigham Oil & Gas, L.P. and Harold D. Carter (filed as
                            Exhibit 10.6 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.6*            -- Employment Agreement, by and between Brigham Exploration
                            Company and Ben M. Brigham (filed as Exhibit 10.7 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.7*            -- Form of Confidentiality and Noncompete Agreement between
                            the Registrant and each of its executive officers (filed
                            as Exhibit 10.8 to the Company's Registration Statement
                            on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
</TABLE>
 
<PAGE>   62
 
<TABLE>
<CAPTION>
         NUMBER                                  DESCRIPTION
         ------                                  -----------
<C>                      <S>
        10.8*            -- 1997 Incentive Plan of Brigham Exploration Company (filed
                            as Exhibit 10.9 to the Company's Registration Statement
                            on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.8.1*          -- Form of Option Agreement for certain executive officers
                            (filed as Exhibit 10.9.1 to the Company's Registration
                            Statement on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.8.2*          -- Option Agreement dated as of March 4, 1997, by and
                            between Brigham Exploration company and Jon L. Glass
                            (filed as Exhibit 10.9.2 to the Company's Registration
                            Statement on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.9*            -- Incentive Bonus Plan dated as of February 28, 1997 of
                            Brigham, Inc. and Brigham Oil & Gas, L.P. (filed as
                            Exhibit 10.10 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.10            -- Two Bridgepoint Lease Agreement, dated September 30,
                            1996, by and between Investors Life Insurance Company of
                            North America and Brigham Oil & Gas, L.P. (filed as
                            Exhibit 10.14 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.11            -- Anadarko Basin Seismic Operations Agreement, dated
                            February 15, 1996, by and between Brigham Oil & Gas, L.P.
                            and Veritas Geophysical, Ltd. (filed as Exhibit 10.15 to
                            the Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.11.1          -- Letter Amendment to Anadarko Basin Seismic Operations
                            Agreement, dated June 10, 1996, between Brigham Oil &
                            Gas, L.P. and Veritas Geophysical, Ltd. (filed as Exhibit
                            10.15.1 to the Company's Registration Statement on Form
                            S-1 (Registration No. 333-22491), and incorporated herein
                            by reference).
        10.12            -- Expense Allocation and Participation Agreement, dated
                            April 1, 1996, between Brigham Oil & Gas, L.P. and Gasco
                            Limited Partnership. (filed as Exhibit 10.16 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.12.1          -- Amendment to Expense Allocation and Participation
                            Agreement, dated October 21, 1996, between Brigham Oil &
                            Gas, L.P. and Gasco Limited Partnership (filed as Exhibit
                            10.16.1 to the Company's Registration Statement on Form
                            S-1 (Registration No. 333-22491), and incorporated herein
                            by reference).
        10.13            -- Expense Allocation and Participation Agreement, dated
                            April 1, 1996, between Brigham Oil & Gas, L.P. and Middle
                            Bay Oil Company, Inc. (filed as Exhibit 10.17 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.13.1          -- Amendment to Expense Allocation and Participation
                            Agreement, dated September 26, 1996, between Brigham Oil
                            & Gas, L.P. and Middle Bay Oil Company, Inc. (filed as
                            Exhibit 10.17.1 to the Company's Registration Statement
                            on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.13.2          -- Letter Amendment to Expense Allocation and Participation
                            Agreement, dated May 20, 1996, between Brigham Oil & Gas,
                            L.P. and Middle Bay Oil Company, Inc. (filed as Exhibit
                            10.17.2 to the Company's Registration Statement on Form
                            S-1 (Registration No. 333-22491), and incorporated herein
                            by reference).
        10.14            -- Anadarko Basin Joint Participation Agreement, dated May
                            1, 1996, by and among Stephens Production Company and
                            Brigham Oil & Gas, L.P. (filed as Exhibit 10.18 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
</TABLE>
 
<PAGE>   63
 
<TABLE>
<CAPTION>
         NUMBER                                  DESCRIPTION
         ------                                  -----------
<C>                      <S>
        10.15            -- Anadarko Basin Joint Participation Agreement, dated May
                            1, 1996, by and between Vintage Petroleum, Inc. and
                            Brigham Oil & Gas, L.P. (filed as Exhibit 10.19 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.16            -- Processing Alliance Agreement, dated July 20, 1993,
                            between Veritas Seismic Ltd. and Brigham Oil & Gas, L.P.
                            (filed as Exhibit 10.20 to the Company's Registration
                            Statement on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.16.1          -- Letter Amendment to Processing Alliance Agreement, dated
                            November 3, 1994, between Veritas Seismic Ltd. and
                            Brigham Oil & Gas, L.P. (filed as Exhibit 10.20.1 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.17            -- Agreement and Assignment of Interest, West Bradley
                            Project, dated September 1, 1995, by and between Aspect
                            Resources Limited Liability Company and Brigham Oil &
                            Gas, L.P. (filed as Exhibit 10.21 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.18            -- Agreement and Assignment of Interests in lands located in
                            Grady County, Oklahoma, West Bradley Project, dated
                            December 1, 1995, by and between Aspect Resources Limited
                            Liability Company, Brigham Oil & Gas, L.P. and Venture
                            Acquisitions, L.P. (filed as Exhibit 10.22 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.19            -- Agreement and Assignment of Interests, West Bradley
                            Project, dated December 1, 1995, by and between Aspect
                            Resources Limited Liability Company and Brigham Oil &
                            Gas, L.P. (filed as Exhibit 10.23 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.20            -- Geophysical Exploration Agreement, Hardeman Project,
                            Hardeman and Wilbarger Counties, Texas and Jackson
                            County, Oklahoma, dated March 15, 1993 by and among
                            General Atlantic Resources, Inc., Maynard Oil Company,
                            Ruja Muta Corporation, Tucker Scully Interests Ltd., JHJ
                            Exploration, Ltd., Cheyenne Petroleum Company, Antrim
                            Resources, Inc., and Brigham Oil & Gas, L.P. (filed as
                            Exhibit 10.24 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.21            -- Agreement and Partial Assignment of Interests in OK13-P
                            Prospect Area, Jackson County, Oklahoma (Hardeman
                            Project), dated August 1, 1995, by and between Brigham
                            Oil & Gas, L.P. and Aspect Resources Limited Liability
                            Company (filed as Exhibit 10.25 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.22            -- Agreement and Partial Assignment of Interests in Q140-E
                            Prospect Area, Hardeman County, Texas (Hardeman Project),
                            dated August 1, 1995, by and between Brigham Oil & Gas,
                            L.P. and Aspect Resources Limited Liability Company
                            (filed as Exhibit 10.26 to the Company's Registration
                            Statement on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.23            -- Agreement and Partial Assignment of Interests in Hankins
                            #1 Chappel Prospect Agreement, Jackson County, Oklahoma
                            (Hardeman Project), dated March 21, 1996, by and between
                            Brigham Oil & Gas, L.P., NGR, Ltd. and Aspect Resources
                            Limited Liability Company (filed as Exhibit 10.27 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
</TABLE>
 
<PAGE>   64
 
<TABLE>
<CAPTION>
         NUMBER                                  DESCRIPTION
         ------                                  -----------
<C>                      <S>
        10.24            -- Form of Indemnity Agreement between the Registrant and
                            each of its executive officers (filed as Exhibit 10.28 to
                            the Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.25            -- Registration Rights Agreement dated February 26, 1997 by
                            and among Brigham Exploration Company, General Atlantic
                            Partners III L.P., GAP-Brigham Partners, L.P., RIMCO
                            Partners, L.P. II, RIMCO Partners L.P. III, and RIMCO
                            Partners, L.P. IV, Ben M. Brigham, Anne L. Brigham,
                            Harold D. Carter, Craig M. Fleming, David T. Brigham and
                            Jon L. Glass (filed as Exhibit 10.29 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.26            -- 1997 Director Stock Option Plan (filed as Exhibit 10.30
                            to the Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.27            -- Form of Employee Stock Ownership Agreement (filed as
                            Exhibit 10.31 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.28            -- Agreement and Assignment of Interest in Geophysical
                            Exploration Agreement, Esperson Dome Project, dated
                            November 1, 1994, by and between Brigham Oil & Gas, L.P.
                            and Vaquero Gas Company (filed as Exhibit 10.33 to the
                            Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
        10.29            -- Geophysical Exploration Agreement, Southwest Danbury
                            Project, Brazoria County, Texas, dated as of July 1,
                            1996, by and among UNEXCO, Inc. and Brigham Oil & Gas,
                            L.P. (filed as Exhibit 10.34 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.30            -- Geophysical Exploration Agreement, Welder Project, Duval
                            County, Texas, dated as of October 1, 1996, by and among
                            UNEXCO, Inc. and Brigham Oil & Gas, L.P. (filed as
                            Exhibit 10.35 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.31            -- Proposed Trade Structure, RIMCO/Tigre Project, Vermillion
                            Parish, Louisiana, among Brigham Oil & Gas, L.P., Tigre
                            Energy Corporation and Resource Investors Management
                            Company (filed as Exhibit 10.36 to the Company's
                            Registration Statement on Form S-1 (Registration No.
                            333-22491), and incorporated herein by reference).
        10.31.1          -- Letter relating to Proposed Trade Structure, RIMCO/Tigre
                            Project, dated January 31, 1997, from Resource Investors
                            Management Company to Brigham Oil & Gas, L.P. (filed as
                            Exhibit 10.36 to the Company's Registration Statement on
                            Form S-1 (Registration No. 333-22491), and incorporated
                            herein by reference).
        10.32            -- Anadarko Basin Seismic Operations Agreement II, dated as
                            of April 1, 1997, by and between Brigham Oil & Gas, L.P.
                            (filed as Exhibit 10.37 to the Company's Registration
                            Statement on Form S-1 (Registration No. 333-22491), and
                            incorporated herein by reference).
        10.32.1          -- Letter Amendment to Anadarko Basin Seismic Operations
                            Agreement II, dated March 20, 1997, between Brigham Oil &
                            Gas, L.P. and Veritas DGC Land, Inc. (filed as Exhibit
                            10.37 to the Company's Registration Statement on Form S-1
                            (Registration No. 333-22491), and incorporated herein by
                            reference).
</TABLE>
 
<PAGE>   65
 
<TABLE>
<CAPTION>
         NUMBER                                  DESCRIPTION
         ------                                  -----------
<C>                      <S>
        10.33            -- Expense Allocation and Participation Agreement II, dated
                            April 1, 1997, between Brigham Oil & Gas, L.P., and Gasco
                            Limited Partnership (filed as Exhibit 10.31 to the
                            Company's Quarterly Report on Form 10-Q for the quarter
                            ended June 30, 1997, and incorporated herein by
                            reference).
        10.36            -- Credit Agreement dated as of January 26, 1998 among
                            Brigham Oil & Gas, L.P., Bank of Montreal, as Agent, and
                            the lenders signatory thereto.
        21               -- Subsidiaries of the Registrant.
        27               -- Financial Data Schedule.
</TABLE>
 
- ---------------
 
* Management contract or compensatory plan.
 
     (b) The following reports on Form 8-K were filed by the Company during the
last quarter of the period covered by this Annual Report on Form 10-K:
 
          Current Report on Form 8-K filed January 23, 1998.
 

<PAGE>   1





                                CREDIT AGREEMENT



                          DATED AS OF JANUARY 26, 1998


                                     AMONG

                            BRIGHAM OIL & GAS, L.P.
                                  AS BORROWER,


                               BANK OF MONTREAL,
                                   AS AGENT,

                                      AND

                          THE LENDERS SIGNATORY HERETO
<PAGE>   2
                               TABLE OF CONTENTS
<TABLE>
<CAPTION>
                                                                                                                     Page
                                                                                                                     ----
<S>                                                                                                                   <C>
ARTICLE I

         DEFINITIONS AND ACCOUNTING MATTERS

         Section 1.01  Terms Defined Above . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
         Section 1.02  Certain Defined Terms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
         Section 1.03  Accounting Terms and Determinations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  15

ARTICLE II

         COMMITMENTS

         Section 2.01  Loans and Letters of Credit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  15
         Section 2.02  Borrowings, Continuations and Conversions and Letters of Credit . . . . . . . . . . . . . . . .  16
         Section 2.03  Changes of Commitments  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  18
         Section 2.04  Fees  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  19
         Section 2.05  Several Obligations   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  20
         Section 2.06  Notes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  20
         Section 2.07  Prepayments . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  20
         Section 2.08  Borrowing Base  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  21
         Section 2.09  Assumption of Risks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  22
         Section 2.10  Obligation to Reimburse and to Prepay . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  23
         Section 2.11  Lending Offices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  25

ARTICLE III

         PAYMENTS OF PRINCIPAL AND INTEREST

         Section 3.01  Repayment of Loans  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  25
         Section 3.02  Interest  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  25

ARTICLE IV

         PAYMENTS; PRO RATA TREATMENT; COMPUTATIONS; ETC.

         Section 4.01  Payments  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  26
         Section 4.02  Pro Rata Treatment  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  26
         Section 4.03  Computations  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  27
         Section 4.04  Non-receipt of Funds by the Agent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  27
         Section 4.05  Set-off, Sharing of Payments, Etc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  27
         Section 4.06  Taxes  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
</TABLE>
<PAGE>   3
<TABLE>
<S>                                                                                                                     <C>
ARTICLE V

         CAPITAL ADEQUACY

         Section 5.01  Additional Costs. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  31
         Section 5.02  Limitation on Eurodollar Loans  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  33
         Section 5.03  Illegality  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  33
         Section 5.04  Base Rate Loans Pursuant to Sections 5.01, 5.02 and 5.03  . . . . . . . . . . . . . . . . . . .  34
         Section 5.05  Compensation  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  34
         Section 5.06  Replacement Lenders . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  34

ARTICLE VI

         CONDITIONS PRECEDENT

         Section 6.01  Initial Funding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  36
         Section 6.02  Initial, Subsequent Loans and Letters of Credit . . . . . . . . . . . . . . . . . . . . . . . .  37
         Section 6.03  Conditions Precedent for the Benefit of Lenders . . . . . . . . . . . . . . . . . . . . . . . .  38
         Section 6.04  No Waiver . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  38

ARTICLE VII

         REPRESENTATIONS AND WARRANTIES

         Section 7.01  Corporate Existence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  38
         Section 7.02  Financial Condition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  38
         Section 7.03  Litigation  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  39
         Section 7.04  No Breach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  39
         Section 7.05  Authority . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  39
         Section 7.06  Approvals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  39
         Section 7.07  Use of Loans  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  40
         Section 7.08  ERISA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  40
         Section 7.09  Taxes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  41
         Section 7.10  Titles, etc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  41
         Section 7.11  No Material Misstatements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  42
         Section 7.12  Investment Company Act  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  42
         Section 7.13  Public Utility Holding Company Act  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  43
         Section 7.14  Subsidiaries  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  43
         Section 7.15  Location of Business and Offices  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  43
         Section 7.16  Defaults  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  43
         Section 7.17  Environmental Matters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  43
         Section 7.18  Compliance with the Law . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  44
         Section 7.19  Insurance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  45
</TABLE>





                                      -ii-
<PAGE>   4
<TABLE>
<S>                    <C>                                                                                             <C>
         Section 7.20  Hedging Agreements  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  45
         Section 7.21  Restriction on Liens  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  45
         Section 7.22  Material Agreements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  46
         Section 7.23  Gas Imbalances  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  46
         Section 7.24  Partnership Agreement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  46
         Section 7.25  Prior Note and Related Documents. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  46

ARTICLE VIII

         AFFIRMATIVE COVENANTS

         Section 8.01  Financial Statements  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  47
         Section 8.02  Litigation  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  49
         Section 8.03  Maintenance, Etc. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  49
         Section 8.04  Environmental Matters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  50
         Section 8.05  Further Assurances  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  51
         Section 8.06  Performance of Obligations  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  51
         Section 8.07  Engineering Reports   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  51
         Section 8.08  Intentionally Omitted . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  53
         Section 8.09  Additional Collateral . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  53
         Section 8.10  ERISA Information and Compliance  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  54
         Section 8.11  Subsidiary Security . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  54

ARTICLE IX

         NEGATIVE COVENANTS

         Section 9.01  Debt. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  55
         Section 9.02  Liens . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  56
         Section 9.03  Investments, Loans and Advances . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  56
         Section 9.04  Dividends, Distributions and Redemptions  . . . . . . . . . . . . . . . . . . . . . . . . . . .  57
         Section 9.05  Sales and Leasebacks  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  57
         Section 9.06  Nature of Business  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  58
         Section 9.07  Limitation on Leases  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  58
         Section 9.08  Mergers, Etc. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  58
         Section 9.09  Proceeds of Notes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  58
         Section 9.10  ERISA Compliance  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  58
         Section 9.11  Sale or Discount of Receivables   . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  60
         Section 9.12  Capital Expenditures  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  60
         Section 9.13  Sale of Oil and Gas Properties  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  60
         Section 9.14  Environmental Matters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  60
         Section 9.15  Transactions with Affiliates  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  60
         Section 9.16  Subsidiaries. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  60
         Section 9.17  Negative Pledge Agreements. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  61
</TABLE>





                                     -iii-
<PAGE>   5
<TABLE>
<S>                                                                                                                    <C>
         Section 9.18  Gas Imbalances, Take-or-Pay or Other Prepayments  . . . . . . . . . . . . . . . . . . . . . . .  61

ARTICLE X

         EVENTS OF DEFAULT; REMEDIES

         Section 10.01  Events of Default . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  61
         Section 10.02  Remedies  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  63
         Section 10.03  Production and Proceeds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  64

ARTICLE XI

         THE AGENT

         Section 11.01  Appointment, Powers and Immunities  . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  65
         Section 11.02  Reliance by Agent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  65
         Section 11.03  Defaults  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  65
         Section 11.04  Rights as a Lender  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  66
         Section 11.05  INDEMNIFICATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  66
         Section 11.06  Non-Reliance on Agent and other Lenders . . . . . . . . . . . . . . . . . . . . . . . . . . .  66
         Section 11.07  Action by Agent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  67
         Section 11.08  Resignation or Removal of Agent . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  67

ARTICLE XII

         MISCELLANEOUS

         Section 12.01  Waiver  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  68
         Section 12.02  Notices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  68
         Section 12.03  Payment of Expenses, Indemnities, etc . . . . . . . . . . . . . . . . . . . . . . . . . . . .  68
         Section 12.04  Amendments, Etc.  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  71
         Section 12.05  Successors and Assigns  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  71
         Section 12.06  Assignments and Participations  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  71
         Section 12.07  Invalidity  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  73
         Section 12.08  Counterparts  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  73
         Section 12.09  References  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  73
         Section 12.10  Survival  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  73
         Section 12.11  Captions  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  73
         Section 12.12  NO ORAL AGREEMENTS  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  73
         Section 12.13  GOVERNING LAW; SUBMISSION TO JURISDICTION . . . . . . . . . . . . . . . . . . . . . . . . . .  74
         Section 12.14  Interest  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  74
         Section 12.15  Confidentiality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  75
         Section 12.16  Prior Credit Agreement  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  76
         Section 12.17  Release Regarding the Prior Note and Related Documents  . . . . . . . . . . . . . . . . . . .  76
</TABLE>





                                      -iv-
<PAGE>   6
<TABLE>
<S>                                                                                                                    <C>
         Section 12.18  Effectiveness . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  76
         Section 12.19  EXCULPATION PROVISIONS  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  77

Annex I          - List of Maximum Credit Amounts
Exhibit A        - Form of Note
Exhibit B        - Form of Borrowing, Continuation and Conversion Request
Exhibit C-1      - Form of Compliance Certificate
Exhibit C-2      - Form of Certificate Accompanying Financial Statements
Exhibit D        - List of Loan Documents
Exhibit E        - Form of Assignment Agreement
Exhibit F        - Form of Letter of Credit Agreement

Schedule 7.02    - Liabilities
Schedule 7.03    - Litigation
Schedule 7.09    - Taxes
Schedule 7.10    - Titles, etc.
Schedule 7.14    - Subsidiaries and Partnerships
Schedule 7.17    - Environmental Matters
Schedule 7.19    - Insurance
Schedule 7.20    - Hedging Agreements
Schedule 7.22    - Material Agreements
Schedule 7.23    - Gas Imbalances
Schedule 9.01    - Debt
Schedule 9.02    - Liens
Schedule 9.03    - Investments, Loans and Advances
</TABLE>





                                      -v-
<PAGE>   7
                 THIS CREDIT AGREEMENT dated as of January 26, 1998 is among:
BRIGHAM OIL & GAS, L.P., a limited partnership formed under the laws of the
State of Delaware (the "Borrower"); each of the lenders that is a signatory
hereto or which becomes a signatory hereto as provided in Section 12.06
(individually, together with its successors and assigns, a "Lender" and,
collectively, the "Lenders"); and BANK OF MONTREAL, a Canadian bank (in its
individual capacity, "BMO"), as agent for the Lenders (in such capacity,
together with its successors in such capacity, the "Agent").


                                R E C I T A L S

         A.      Pursuant to that certain Loan Agreement (the "Original Credit
Agreement") dated as of April 1, 1996 between the Borrower and Bank One, Texas,
N.A. (the "Prior Lender") as amended by that certain First Amendment to Loan
Agreement dated as of November 10, 1997 between the Prior Lender, Borrower,
Brigham Exploration Company and Brigham, Inc. (the "First Amendment") (the
Original Credit Agreement as amended by the First Amendment being hereafter
called the "Prior Credit Agreement"), the Prior Lender provided to the Borrower
loans and extensions of credit, which loans and extensions of credit are
evidenced by a certain promissory note from the Borrower in the aggregate
principal amount of $75,000,000 (the "Prior Note").

         B.      By Assignment of Notes and Liens of even date herewith the
Lenders have acquired the Prior Note and all security for the payment of the
Prior Note and the performance of the Borrower's obligations under the Prior
Credit Agreement.

         C.      The Lenders have agreed to provide senior secured debt in the
amount of up to $75,000,000 consisting of a rearrangement of the Prior Note and
advances to the Borrower for general corporate purposes, and the Borrower, the
Agent and the Lenders now desire to set forth their agreements with respect to
such credit facility and to amend and restate in its entirety the Prior Credit
Agreement and Prior Note.

         D.      In consideration of the mutual covenants and agreements herein
contained and of the loans, extensions of credit and commitments hereinafter
referred to, the parties hereto agree as follows:

                                   ARTICLE I

                       DEFINITIONS AND ACCOUNTING MATTERS

                 Section 1.01  Terms Defined Above.  As used in this Agreement,
the terms "Agent," "BMO," "Borrower," "Lender," "Lenders," "Prior Credit
Agreement," "Prior Lender" and "Prior Note" shall have the meanings indicated
above.

                 Section 1.02  Certain Defined Terms.  As used herein, the
following terms shall have the following meanings (all terms defined in this
Article I or in other provisions of this Agreement in the singular to have the
same meanings when used in the plural and vice versa):
<PAGE>   8
         "Additional Costs" shall have the meaning assigned such term in
Section 5.01(a).

         "Affected Loans" shall have the meaning assigned such term in Section
5.04.

         "Affiliate" of any Person shall mean (i) any Person directly or
indirectly controlled by, controlling or under common control with such first
Person, (ii) any director or officer of such first Person or of any Person
referred to in clause (i) above and (iii) if any Person in clause (i) above is
an individual, any member of the immediate family (including parents, spouse
and children) of such individual and any trust whose principal beneficiary is
such individual or one or more members of such immediate family and any Person
who is controlled by any such member or trust.  For purposes of this
definition, any Person which owns directly or indirectly 20% or more of the
securities having ordinary voting power for the election of directors or other
governing body of a corporation or 20% or more of the partnership or other
ownership interests of any other Person (other than as a limited partner of
such other Person) will be deemed to "control" (including, with its correlative
meanings, "controlled by" and "under common control with") such corporation or
other Person.

         "Agreement" shall mean this Credit Agreement, as the same may from
time to time be amended or supplemented.

         "Aggregate Commitments" at any time shall equal the amount calculated
in accordance with Section 2.03 hereof.

         "Aggregate Maximum Credit Amounts" at any time shall equal the sum of
the Maximum Credit Amounts of the Lenders ($75,000,000), as the same may be
reduced pursuant to Section 2.03(b).

         "Applicable Lending Office" shall mean, for each Lender and for each
Type of Loan, the lending office of such Lender (or an Affiliate of such
Lender) designated for such Type of Loan on the signature pages hereof or such
other offices of such Lender (or of an Affiliate of such Lender) as such Lender
may from time to time specify to the Agent and the Borrower as the office by
which its Loans of such Type are to be made and maintained.

         "Applicable Margin" shall mean (i) until the date which is twelve (12)
months after the Closing Date, 0% per annum, and thereafter 1/4 of 1% per
annum, with respect to Base Rate Loans; and (ii) 2 1/4% per annum with respect
to Eurodollar Loans.

         "Assignment" shall have the meaning assigned such term in Section
12.06(b).

         "Base Rate" shall mean, with respect to any Base Rate Loan, for any
day, the higher of (i) the Federal Funds Rate for any such day plus 1/2 of 1%
or (ii) the Prime Rate for such day.  Each change in any interest rate provided
for herein based upon the Base Rate resulting from a change in the Base Rate
shall take effect at the time of such change in the Base Rate.





                                      -2-
<PAGE>   9
         "Base Rate Loans" shall mean Loans that bear interest at rates based 
upon the Base Rate.

         "Borrowing Base" shall mean at any time an amount equal to the amount
determined in accordance with Section 2.08.

         "Brigham Exploration" shall mean Brigham Exploration Company, a
Delaware corporation and owner of 100% of the capital stock of the General
Partner.

         "Business Day" shall mean any day other than a day on which commercial
banks are authorized or required to close in Chicago, Illinois and, where such
term is used in the definition of "Quarterly Date" or if such day relates to a
borrowing or continuation of, a payment or prepayment of principal of or
interest on, or a conversion of or into, or the Interest Period for, a
Eurodollar Loan or a notice by the Borrower with respect to any such borrowing
or continuation, payment, prepayment, conversion or Interest Period, any day
which is also a day on which dealings in Dollar deposits are carried out in the
London interbank market.

         "Closing Date" shall mean January 28, 1998.

         "Code" shall mean the Internal Revenue Code of 1986, as amended from
time to time and any successor statute.

         "Commitment" shall mean, for any Lender, its obligation to make Loans
up to the lesser of such Lender's Maximum Credit Amount or, when the Borrowing
Base becomes effective,  the Lender's Percentage Share of the amount equal to
the then effective Borrowing Base and to participate in the Letters of Credit
as provided in Section 2.01(b).

         "Consolidated Net Income" shall mean with respect to Brigham
Exploration and its Consolidated Subsidiaries, for any period, the aggregate of
the net income (or loss) of Brigham Exploration and its Consolidated
Subsidiaries after allowances for taxes for such period, determined on a
consolidated basis in accordance with GAAP; provided that there shall be
excluded from the calculation of such net income (to the extent otherwise
included therein) the following: (i) the net income of any Person in which
Brigham Exploration or any Consolidated Subsidiary has an interest (which
interest does not cause the net income of such other Person to be consolidated
with the net income of Brigham Exploration and its Consolidated Subsidiaries in
accordance with GAAP), except to the extent of the amount of dividends or
distributions actually paid in such period by such other Person to Brigham
Exploration or to a Consolidated Subsidiary, as the case may be; (ii) the net
income (but not loss) of any Consolidated Subsidiary to the extent that the
declaration or payment of dividends or similar distributions or transfers or
loans by that Consolidated Subsidiary is not at the time permitted by operation
of the terms of its charter or any agreement, instrument or Governmental
Requirement applicable to such Consolidated Subsidiary, or is otherwise
restricted or prohibited in each case determined in accordance with GAAP; (iii)
the net income (or loss) of any Person acquired in a pooling-of-interests
transaction for any period prior to the date of such transaction; (iv) any
extraordinary gains or losses, including gains or losses attributable to
Property sales not in the





                                     -3-
<PAGE>   10
ordinary course of business; and (v) the cumulative effect of a change in
accounting principles and any gains or losses attributable to writeups or
writedowns of assets.

         "Consolidated Subsidiaries" shall mean each Subsidiary of Brigham
Exploration (whether now existing or hereafter created or acquired) the
financial statements of which shall be (or should have been) consolidated with
the financial statements of Brigham Exploration in accordance with GAAP,
including, without limitation, the Borrower.

         "Debt" shall mean, for any Person the sum of the following (without
duplication): (i) all obligations of such Person for borrowed money or
evidenced by bonds, debentures, notes or other similar instruments (including
principal, interest, fees and charges); (ii) all obligations of such Person
(whether contingent or otherwise) in respect of bankers' acceptances, letters
of credit, surety or other bonds and similar instruments; (iii) all obligations
of such Person to pay the deferred purchase price of Property or services
(other than for borrowed money) excluding Trade Payables; (iv) all obligations
under leases which shall have been, or should have been, in accordance with
GAAP, recorded as capital leases in respect of which such Person is liable
(whether contingent or otherwise); (v) all obligations under leases (other than
capital leases and oil and gas leases) which require such Person or its
Affiliate to make payments exceeding $100,000 over the term of such lease,
including payments at termination, which are substantially equal to at least
eighty percent (80%) of the purchase price of the Property subject to such
lease plus interest as an imputed rate of interest; (vi) all Debt (as described
in the other clauses of this definition) of others secured by a Lien on any
asset of such Person, whether or not such Debt is assumed by such Person; (vii)
all Debt (as described in the other clauses of this definition) of others
guaranteed by such Person or in which such Person otherwise assures a creditor
against loss of the Debt of others; (viii) all obligations or undertakings of
such Person to maintain or cause to be maintained the financial position or
covenants of others including without limitation agreements expressed as an
agreement to purchase the Debt or Property of others or otherwise;  (ix)
obligations to deliver Hydrocarbons in consideration of advance payments; (x)
obligations to pay for goods or services whether or not such goods or services
are actually received or utilized by such Person; (xi) any capital stock of
such Person in which such Person has a mandatory obligation to redeem such
stock; (xii) any Debt of a Special Entity for which such Person is liable
either by agreement or because of a Governmental Requirement; (xiii) the
undischarged balance of any production payment created by such Person or for
the creation of which such Person directly or indirectly received payment; and
(xiv) all obligations of such Person under Hedging Agreements.

         "Default" shall mean an Event of Default or an event which with notice
or lapse of time or both would become an Event of Default.

         "Dollars" and "$" shall mean lawful money of the United States of
America.

         "EBITDA" shall mean, for any period, the sum of Consolidated Net
Income for such period plus the following expenses or charges to the extent
deducted from Consolidated Net





                                      -4-
<PAGE>   11
Income in such period: interest, taxes, depreciation, depletion and
amortization, and other non-cash charges, minus all non cash income added to
Consolidated Net Income in such period.

         "Effective Date" shall have the meaning assigned such term in Section
12.16.

         "Engineering Reports" shall have the meaning assigned such term in
Section 2.08.

         "Environmental Laws" shall mean any and all Governmental Requirements
pertaining to the environment in effect in any and all jurisdictions in which
the Borrower or any Subsidiary is conducting or at any time has conducted
business, or where any Property of the Borrower or any Subsidiary is located,
including without limitation, the Oil Pollution Act of 1990 ("OPA"), the Clean
Air Act, as amended, the Comprehensive Environmental, Response, Compensation,
and Liability Act of 1980 ("CERCLA"), as amended, the Federal Water Pollution
Control Act, as amended, the Occupational Safety and Health Act of 1970, as
amended, the Resource Conservation and Recovery Act of 1976 ("RCRA"), as
amended, the Safe Drinking Water Act, as amended, the Toxic Substances Control
Act, as amended, the Superfund Amendments and Reauthorization Act of 1986, as
amended, the Hazardous Materials Transportation Act, as amended, and other
environmental conservation or protection laws.  As used in the provisions
hereof relating to Environmental Laws, the term "oil" shall have the meaning
specified in OPA, the terms "hazardous substance" and "release" (or "threatened
release") have the meanings specified in CERCLA, and the terms "solid waste"
and "disposal" (or "disposed") have the meanings specified in RCRA; provided,
however, that (i) in the event either OPA, CERCLA or RCRA is amended so as to
broaden the meaning of any term defined thereby, such broader meaning shall
apply subsequent to the effective date of such amendment and (ii) to the extent
the laws of the state in which any Property of the Borrower or any Subsidiary
is located establish a meaning for "oil," "hazardous substance," "release,"
"solid waste" or "disposal" which is broader than that specified in either OPA,
CERCLA or RCRA, such broader meaning shall apply.

         "ERISA" shall mean the Employee Retirement Income Security Act of
1974, as amended from time to time and any successor statute.

         "ERISA Affiliate" shall mean each trade or business (whether or not
incorporated) which together with the Borrower or any Subsidiary of the
Borrower would be deemed to be a "single employer" within the meaning of
section 4001(b)(1) of ERISA or subsections (b), (c), (m) or (o) of section 414
of the Code.

         "ERISA Event" shall mean (i) a "Reportable Event" described in Section
4043 of ERISA and the regulations issued thereunder (other than such an event
with respect to which the requirement to give notice has been waived), (ii) the
withdrawal of the Borrower or any ERISA Affiliate from a Plan during a plan
year in which it was a "substantial employer" as defined in Section 4001(a)(2)
of ERISA, (iii) the filing of a notice of intent to terminate a Plan (other
than a defined contribution Plan) or the treatment of an amendment to such a
Plan as a termination under Section 4041 of ERISA, (iv) the institution of
proceedings to terminate a Plan by the





                                      -5-
<PAGE>   12
PBGC or (v) any other event or condition which might constitute grounds under
Section 4042 of ERISA for the termination of, or the appointment of a trustee
to administer, any Plan.

         "Eurodollar Loans" shall mean Loans the interest rates on which are
determined on the basis of rates referred to in the definition of "Eurodollar
Rate".

         "Eurodollar Rate" shall mean, with respect to any Eurodollar Loan, the
rate per annum (rounded upwards, if necessary, to the nearest 1/100 of 1%)
reported, on the date two Business Days prior to the first day of the Interest
Period for such Loan, on Telerate Access Service Page 3750 (British Bankers
Association Settlement Rate) as the London Interbank Offered Rate for U.S.
dollar deposits having a term comparable to such Interest Period and in an
amount of $1,000,000 or more (provided that, if such Page shall cease to be
publicly available or if the information contained on such Page shall cease to
be publicly available or if the information contained on such Page, in the
Agent's reasonable judgment, shall cease to accurately reflect such London
Interbank Offered Rate or if such page does not report information for the term
of the Interest Period selected by Borrower, such rate shall be that reported
by any publicly available source of similar market data selected by the Agent,
or that interpolated by Agent from such market data, which, in the Agent's
reasonable judgment, accurately reflects such London Interbank Offered Rate).

         "Event of Default" shall have the meaning assigned such term in
Section 10.01.

         "Excepted Liens" shall mean:  (i) Liens for taxes, assessments or
other governmental charges or levies not yet due or which are being contested
in good faith by appropriate action and for which adequate reserves have been
maintained in accordance with GAAP; (ii) Liens in connection with workmen's
compensation, unemployment insurance or other social security, old age pension
or public liability obligations not yet due or which are being contested in
good faith by appropriate action and for which adequate reserves have been
maintained in accordance with GAAP; (iii) operators', vendors', carriers',
warehousemen's, repairmen's, mechanics', workmen's, materialmen's, construction
or other like Liens arising by operation of law in the ordinary course of
business or incident to the exploration, development, operation and maintenance
of Oil and Gas Properties or customary landlord's liens, each of which is in
respect of obligations that have not been outstanding more than 90 days or
which are being contested in good faith by appropriate proceedings and for
which adequate reserves have been maintained in accordance with GAAP; (iv) any
Liens reserved in leases or farmout agreements for rent or royalties and for
compliance with the terms of the farmout agreements or leases in the case of
leasehold estates, to the extent that any such Lien referred to in this clause
does not materially impair the use of the Property covered by such Lien for the
purposes for which such Property is held or materially impair the value of such
Property subject thereto; (v) encumbrances (other than to secure the payment of
borrowed money or the deferred purchase price of Property or services),
easements, restrictions, servitudes, permits, conditions, covenants, exceptions
or reservations in any rights of way or other Property for the purpose of
roads, pipelines, transmission lines, transportation lines, distribution lines
for the removal of gas, oil, coal or other minerals or timber, and other like
purposes, or for the joint or common use of real estate, rights of way,
facilities and equipment,





                                      -6-
<PAGE>   13
and defects, irregularities, zoning restrictions and deficiencies in title of
any rights of way or other Property which in the aggregate do not materially
impair the use of such rights of way or other Property for the purposes of
which such rights of way and other Property are held or materially impair the
value of such Property subject thereto; (vi) deposits of cash or securities to
secure the performance of bids, trade contracts, leases, statutory obligations
and other obligations of a like nature incurred in the ordinary course of
business; and (vii) Liens permitted by the Loan Documents.

         "Federal Funds Rate" shall mean, for any day, the rate per annum
(rounded upwards, if necessary, to the nearest 1/100 of 1%) equal to the
weighted average of the rates on overnight federal funds transactions with a
member of the Federal Reserve System arranged by federal funds brokers on such
day, as published by the Federal Reserve Bank of New York on the Business Day
next succeeding such day, provided that (i) if the date for which such rate is
to be determined is not a Business Day, the Federal Funds Rate for such day
shall be such rate on such transactions on the next preceding Business Day as
so published on the next succeeding Business Day, and (ii) if such rate is not
so published for any day, the Federal Funds Rate for such day shall be the
average rate charged to the Agent on such day on such transactions as
determined by the Agent.

         "Fee Letter" shall mean that certain letter agreement from the Agent
to the Borrower dated of even date with this Agreement concerning certain fees
in connection with this Agreement and any agreements or instruments executed in
connection therewith, as the same may be amended or replaced from time to time.

         "Financial Statements" shall mean the financial statement or
statements described or referred to in Section 7.02.

         "First Borrowing Base Determination Date" shall mean January 31, 1999.

         "First Reserve Report" shall have the meaning set out in Section
8.07(a).

         "GAAP" shall mean generally accepted accounting principles in the
United States of America in effect from time to time.

         "General Partner" shall mean Brigham, Inc., a Nevada corporation,
general partner of the Borrower.

         "Governmental Authority" shall include the country, the state, county,
city and political subdivisions in which any Person or such Person's Property
is located or which exercises valid jurisdiction over any such Person or such
Person's Property, and any court, agency, department, commission, board, bureau
or instrumentality of any of them including monetary authorities which
exercises valid jurisdiction over any such Person or such Person's Property.
Unless otherwise specified, all references to Governmental Authority herein
shall mean a Governmental





                                      -7-
<PAGE>   14
Authority having jurisdiction over, where applicable, the Borrower, the
Subsidiaries or any of their Property or the Agent, any Lender or any
Applicable Lending Office.

         "Governmental Requirement" shall mean any law, statute, code,
ordinance, order, determination, rule, regulation, judgment, decree,
injunction, franchise, permit, certificate, license, authorization or other
directive or requirement (in the case of banking regulatory authorities whether
or not having the force of law), including, without limitation, Environmental
Laws, energy regulations and occupational, safety and health standards or
controls, of any Governmental Authority.

         "Guarantors" shall mean Brigham Exploration, the General Partner,
Brigham Holdings, I, LLC, Brigham Holdings II, LLC and any other Person who
becomes party to a Guaranty Agreement pursuant to the terms of Section 8.11.

         "Guaranty Agreements" shall mean the agreements executed by the
Guarantors in form and substance satisfactory to the Agent guarantying,
unconditionally, payment of the Indebtedness, as the same may be amended,
modified or supplemented from time to time.

         "Hedging Agreements" shall mean any commodity, interest rate or
currency swap, cap, floor, collar, forward agreement or other exchange or
protection agreements or any option with respect to any such transaction.

         "Highest Lawful Rate" shall mean, with respect to each Lender, the
maximum nonusurious interest rate, if any, that at any time or from time to
time may be contracted for, taken, reserved, charged or received on the Notes
or on other Indebtedness under laws applicable to such Lender which are
presently in effect or, to the extent allowed by law, under such applicable
laws which may hereafter be in effect and which allow a higher maximum
nonusurious interest rate than applicable laws now allow.

         "Hydrocarbon Interests" shall mean all rights, titles, interests and
estates now or hereafter acquired in and to oil and gas leases, oil, gas and
mineral leases, or other liquid or gaseous hydrocarbon leases, mineral fee
interests, overriding royalty and royalty interests, net profit interests and
production payment interests, including any reserved or residual interests of
whatever nature.

         "Hydrocarbons" shall mean oil, gas, casinghead gas, drip gasoline,
natural gasoline, condensate, distillate, liquid hydrocarbons, gaseous
hydrocarbons and all products refined or separated therefrom.

         "Indebtedness" shall mean any and all amounts owing or to be owing by
the Borrower  to the Agent, the Issuing Bank and/or Lenders in connection with
the Loan Documents and any Hedging Agreements now or hereafter arising between
the Borrower and any Lender and permitted by the terms of this Agreement and
all renewals, extensions and/or rearrangements of any of the above.





                                      -8-
<PAGE>   15
         "Indemnified Parties" shall have the meaning assigned such term in 
Section 12.03(b).

         "Indemnity Matters" shall mean any and all actions, suits, proceedings
(including any investigations, litigation or inquiries), claims, demands and
causes of action made or threatened against a Person and, in connection
therewith, all losses, liabilities, damages (including, without limitation,
consequential damages) or reasonable costs and expenses of any kind or nature
whatsoever incurred by such Person whether caused by the sole or concurrent
negligence of such Person seeking indemnification.

         "Initial Funding" shall mean the funding of the initial Loans or
issuance of the initial Letters of Credit pursuant to Section 6.01 hereof.

         "Initial Reserve Report" shall mean the report of Cawley, Gillespie &
Associates with respect to the Oil and Gas Properties of the Borrower as of
November 30, 1997, a copy of which has been delivered to the Agent.

         "Issuing Bank" shall mean BMO or any other Lender agreed to among the
Borrower and the Agent to issue Letters of Credit.

         "Interest Period" shall mean, with respect to any Eurodollar Loan, the
period commencing on the date such Eurodollar Loan is made and ending on the
numerically corresponding day in the first, third or sixth calendar month
thereafter, as the Borrower may select as provided in Section 2.02 (or such
longer period as may be requested by the Borrower and agreed to by the Majority
Lenders), except that each Interest Period which commences on the last Business
Day of a calendar month (or on any day for which there is no numerically
corresponding day in the appropriate subsequent calendar month) shall end on
the last Business Day of the appropriate subsequent calendar month.

         Notwithstanding the foregoing:  (i) no Interest Period may end after
the Revolving Credit Termination Date; (ii) no Interest Period for any
Eurodollar Loan may end after the due date of any installment, if any, provided
for in Section 3.01 hereof to the extent that such Eurodollar Loan would need
to be prepaid prior to the end of such Interest Period in order for such
installment to be paid when due; (iii) each Interest Period which would
otherwise end on a day which is not a Business Day shall end on the next
succeeding Business Day (or, if such next succeeding Business Day falls in the
next succeeding calendar month, on the next preceding Business Day); and (iv)
no Interest Period shall have a duration of less than one month and, if the
Interest Period for any Eurodollar Loans would otherwise be for a shorter
period, such Loans shall not be available hereunder.

         "LC Commitment" at any time shall mean $20,000,000.

         "LC Exposure" at any time shall mean the aggregate undrawn face amount
of all undrawn and uncancelled Letters of Credit and the aggregate of all
amounts drawn under all Letters of Credit and not yet reimbursed.





                                      -9-
<PAGE>   16
         "Letter of Credit Agreements" shall mean the written agreements with
the Issuing Bank, as issuing lender for any Letter of Credit, executed or
hereafter executed with the issuance by the Issuing Bank of the Letters of
Credit, such agreements to be on the Issuing Bank's customary form attached
hereto as Exhibit F or as otherwise agreed to by the Borrower and the Issuing
Bank.

         "Letters of Credit" shall mean the letters of credit issued pursuant
to Section 2.01(b) and all reimbursement obligations pertaining to any such
letters of credit, and "Letter of Credit" shall mean any one of the Letters of
Credit and the reimbursement obligations pertaining thereto.

         "Lien" shall mean any interest in Property securing an obligation owed
to, or a claim by, a Person other than the owner of the Property, whether such
interest is based on the common law, statute or contract, and whether such
obligation or claim is fixed or contingent, and including but not limited to
(i) the lien or security interest arising from a mortgage, encumbrance, pledge,
security agreement, conditional sale or trust receipt or a lease, consignment
or bailment for security purposes or (ii) production payments and the like
payable out of Oil and Gas Properties.  The term "Lien" shall include
reservations, exceptions, encroachments, easements, rights of way, covenants,
conditions, restrictions, leases and other title exceptions and encumbrances
affecting Property.  For the purposes of this Agreement, a Person shall be
deemed to be the owner of any Property which it has acquired or holds subject
to a conditional sale agreement, or leases under a financing lease or other
arrangement pursuant to which title to the Property has been retained by or
vested in some other Person in a transaction intended to create a financing.

         "Loan Documents" shall mean this Agreement, the Notes, the Letters of
Credit, the Letter of Credit Agreements, the Fee Letter, the agreements or
instruments described or referred to in Exhibit D, and any and all other
agreements or instruments now or hereafter executed and delivered by the
Borrower or any Subsidiary or Affiliate of the Borrower including, without
limitation, Brigham Exploration (other than assignments, participation or
similar agreements between any Lender and any other lender or creditor with
respect to any Indebtedness pursuant to this Agreement) in connection with, or
as security for the payment or performance of the Notes, or this Agreement, or
reimbursement obligations under the Letters of Credit, as such agreements may
be amended, supplemented or restated from time to time.

         "Loans" shall mean the loans as provided for by Section 2.01(a).

         "Majority Lenders" shall mean, at any time while no Loans are
outstanding, Lenders having at least sixty-six and two-thirds percent (66-2/3%)
of the Aggregate Commitments and, at any time while Loans are outstanding,
Lenders holding at least sixty-six and two-thirds percent (66-2/3%) of the
outstanding aggregate principal amount of the Loans (without regard to any sale
by a Lender of a participation in any Loan under Section 12.06(c)).

         "Material Adverse Effect" shall mean any material and adverse effect
on (i) the assets, liabilities, financial condition, business, operations or
affairs of Brigham Exploration and its Subsidiaries taken as a whole or the
Borrower and its





                                      -10-
<PAGE>   17
Subsidiaries taken as a whole, from those reflected in the Financial Statements
or from the facts represented or warranted in any Loan Document, or (ii) the
ability of Brigham Exploration or the Borrower or  Brigham Exploration or the
Borrower and their respective Subsidiaries taken as a whole to carry out their
business as at the Closing Date or as proposed as of the Closing Date to be
conducted or meet their obligations under the Loan Documents on a timely basis.

         "Maximum Credit Amount" shall mean, as to each Lender, the amount set
forth opposite such Lender's name on Annex I under the caption "Maximum Credit
Amounts" (as the same may be reduced pursuant to Section 2.03(b) hereof pro
rata to each Lender based on its Percentage Share) as modified from time to
time to reflect any assignments permitted by Section 12.06(b).

         "Mortgage" means the "Mortgage" referred to in Exhibit D and any other
mortgages executed pursuant to Section 8.09 hereof.

         "Mortgaged Property" shall mean the Property owned by the Borrower and
which is subject to the Liens existing and to exist under the terms of the Loan
Documents.

         "Multiemployer Plan" shall mean a Plan defined as such in Section
3(37) or 4001(a)(3) of ERISA.

         "Notes" shall mean the Notes provided for by Section 2.06, together
with any and all renewals, extensions for any period, increases,
rearrangements, substitutions or modifications thereof.

         "Oil and Gas Properties" shall mean Hydrocarbon Interests; the
Properties now or hereafter pooled or unitized with Hydrocarbon Interests; all
presently existing or future unitization, pooling agreements and declarations
of pooled units and the units created thereby (including without limitation all
units created under orders, regulations and rules of any Governmental
Authority) which may affect all or any portion of the Hydrocarbon Interests;
all operating agreements, contracts and other agreements which relate to any of
the Hydrocarbon Interests or the production, sale, purchase, exchange or
processing of Hydrocarbons from or attributable to such Hydrocarbon Interests;
all Hydrocarbons in and under and which may be produced and saved or
attributable to the Hydrocarbon Interests, including all oil in tanks, the
lands covered thereby and all rents, issues, profits, proceeds, products,
revenues and other incomes from or attributable to the Hydrocarbon Interests;
all tenements, hereditaments, appurtenances and Properties in any manner
appertaining, belonging, affixed or incidental to the Hydrocarbon Interests;
and all Properties, rights, titles, interests and estates described or referred
to above, including any and all Property, real or personal, now owned or
hereinafter acquired and situated upon, used, held for use or useful in
connection with the operating, working or development of any of such
Hydrocarbon Interests or Property (excluding drilling rigs, automotive
equipment or other personal property which may be on such premises for the
purpose of drilling a well or for other similar temporary uses) and including
any and all oil wells, gas wells, injection wells or other wells, buildings,
structures, fuel separators, liquid extraction





                                      -11-
<PAGE>   18
plants, plant compressors, pumps, pumping units, field gathering systems, tanks
and tank batteries, fixtures, valves, fittings, machinery and parts, engines,
boilers, meters, apparatus, appliances, tools, implements, cables, wires,
towers, casing, tubing and rods, similar equipment, surface leases,
rights-of-way, easements and servitudes together with all additions,
substitutions, replacements, accessions and attachments to any and all of the
foregoing.

         "Other Taxes" shall have the meaning assigned such term in Section
4.06(b).

         "Partners" shall mean the General Partner, Brigham Holdings I, LLC and
Brigham Holdings II, LLC.

         "Partnership Agreement" shall mean the written partnership agreement
of the Borrower among the Partners dated December 30, 1997, as amended from
time to time.

         "PBGC" shall mean the Pension Benefit Guaranty Corporation or any
entity succeeding to any or all of its functions.

         "Percentage Share" shall mean the percentage of the Aggregate
Commitments to be provided by a Lender under this Agreement as indicated on
Annex I hereto, as modified from time to time to reflect any assignments
permitted by Section 12.06(b).

         "Person" shall mean any individual, corporation, company, voluntary
association, partnership, joint venture, trust, limited liability company,
unincorporated organization or government or any agency, instrumentality or
political subdivision thereof, or any other form of entity.

         "Plan" shall mean any employee pension benefit plan, as defined in
Section 3(2) of ERISA, which (i) is currently or hereafter sponsored,
maintained or contributed to by the Borrower, any Subsidiary or an ERISA
Affiliate or (ii) was at any time during the preceding six calendar years
sponsored, maintained or contributed to, by the Borrower, any Subsidiary or an
ERISA Affiliate.

         "Post-Default Rate" shall mean, in respect of any principal of any
Loan or any other amount payable by the Borrower under this Agreement or any
Note, a rate per annum during the period commencing on the date of an Event of
Default until such amount is paid in full or all Events of Default are cured or
waived equal to 2% per annum above the Base Rate as in effect from time to time
plus the Applicable Margin (if any), but in no event to exceed the Highest
Lawful Rate provided that, for a Eurodollar Loan, the "Post-Default Rate" for
such principal shall be, for the period commencing on the date of an Event of
Default and ending on the earlier to occur of the last day of the Interest
Period therefor or the date all Events of Default are cured or waived, 2% per
annum above the interest rate for such Loan as provided in Section 3.02(ii),
but in no event to exceed the Highest Lawful Rate.





                                      -12-
<PAGE>   19
         "Prime Rate" shall mean the rate of interest from time to time
announced publicly by the Agent at the Principal Office as its prime commercial
lending rate.  Such rate is set by the Agent as a general reference rate of
interest, taking into account such factors as the Agent may deem appropriate,
it being understood that many of the Agent's commercial or other loans are
priced in relation to such rate, that it is not necessarily the lowest or best
rate actually charged to any customer and that the Agent may make various
commercial or other loans at rates of interest having no relationship to such
rate.

         "Principal Office" shall mean the principal office of the Agent,
presently located at 115 South LaSalle Street, Chicago, Illinois  60603.

         "Prior Mortgage" shall have the meaning assigned to such term in the
Mortgage.

         "Property" shall mean any interest in any kind of property or asset,
whether real, personal or mixed, or tangible or intangible.

         "Quarterly Dates" shall mean the last day of each March, June,
September, and December,  in each year, the first of which shall be March 31,
1998; provided, however, that if any such day is not a Business Day, such
Quarterly Date shall be the next succeeding Business Day.

         "Redetermination Date" shall have the meaning assigned such term in 
Section 2.08(a).

         "Regulation D" shall mean Regulation D of the Board of Governors of
the Federal Reserve System (or any successor), as the same may be amended or
supplemented from time to time.

         "Regulatory Change" shall mean, with respect to any Lender, any change
after the Closing Date in any Governmental Requirement (including Regulation D)
or the adoption or making after such date of any interpretations, directives or
requests applying to a class of lenders (including such Lender or its
Applicable Lending Office) of or under any Governmental Requirement (whether or
not having the force of law) by any Governmental Authority charged with the
interpretation or administration thereof.

         "Required Payment" shall have the meaning assigned such term in
Section 4.04.

         "Reserve Report" shall mean a report, in form satisfactory to the
Agent, setting forth, as of the dates set forth in Section 8.07(a) and (b) (or
such other date in the event of an unscheduled redetermination); (i) the proved
oil and gas reserves attributable to the Borrower's and its Subsidiaries'
Hydrocarbon Interests together with a projection of the rate of production and
future net income, taxes, operating expenses and capital expenditures with
respect thereto as of such date, based upon the pricing assumptions consistent
with SEC reporting requirements at the time (or other pricing provided by the
Agent) and (ii) such other information as the Agent may reasonably request.
The term "Reserve Report" shall also include the Initial Reserve Report, the





                                      -13-
<PAGE>   20
First Reserve Report, the supplemental  Reserve Reports described in Section
8.07(b), and the information to be provided by the Borrower of each year
pursuant to Section 8.07(d).

         "Responsible Officer" shall mean, as to any Person, the Chief
Executive Officer, the President or any Vice President of such Person and the
Chief Financial Officer of such Person.  Unless otherwise specified, all
references to a Responsible Officer herein shall mean a Responsible Officer of
the Borrower.

         "Revolving Credit Termination Date" shall mean, unless the Commitments
are sooner terminated pursuant to Sections 2.03(b) or 10.02 hereof, January 26,
2001.

         "Scheduled Redetermination Date" shall have the meaning assigned such 
term in Section 2.08(d).

         "SEC" shall mean the Securities and Exchange Commission or any
successor Governmental Authority.

         "Special Entity" shall mean any joint venture, limited liability
company or partnership, general or limited partnership or any other type of
partnership or company other than a corporation in which a Person or one or
more of its other Subsidiaries is a member, owner, partner or joint venturer
and owns, directly or indirectly, at least a majority of the equity of such
entity or controls such entity, but excluding any tax partnerships that are not
classified as partnerships under state law.  For purposes of this definition,
any Person which owns directly or indirectly an equity investment in another
Person which allows the first Person to manage or elect managers who manage the
normal activities of such second Person will be deemed to "control" such second
Person (e.g. a sole general partner controls a limited partnership).

         "Subsidiary" shall mean (i) any corporation of which at least a
majority of the outstanding shares of stock having by the terms thereof
ordinary voting power to elect a majority of the board of directors of such
corporation (irrespective of whether or not at the time stock of any other
class or classes of such corporation shall have or might have voting power by
reason of the happening of any contingency) is at the time directly or
indirectly owned or controlled by a Person or one or more of its Subsidiaries
or by a Person and one or more of its Subsidiaries and (ii) any Special Entity.
Unless otherwise indicated herein, each reference to the term "Subsidiary"
shall mean a Subsidiary of the Borrower.  Quest Resources L.L.C. and Venture
Acquisitions L.P. shall not be considered Subsidiaries of Borrower or Brigham
Exploration.

         "Tangible Net Worth" shall mean, as at any date, the sum of the
following for Brigham Exploration and its Consolidated Subsidiaries determined
(without duplication) in accordance with GAAP (determined without regard to any
write up or write down resulting from any changes in GAAP subsequent to
September 30, 1997):

         (i)     the amount of preferred stock and common stock at par plus the
amount of surplus of Brigham Exploration, plus





                                      -14-
<PAGE>   21
         (ii)    the retained earnings (or, in the case of retained earnings
deficit, minus the amount of such deficit), minus

         (iii)   the sum of the following:  cost of treasury shares and the
book value of all assets of Brigham Exploration and its Consolidated
Subsidiaries which should be classified as intangibles (without duplication of
deductions in respect of items already deducted in arriving at surplus and
retained earnings) but in any event including as such intangibles the
following:  goodwill, research and development costs, trademarks, trade names,
copyrights, patents and franchises, unamortized debt discount and expense, all
reserves and any writeup in the book value of assets resulting from a
revaluation thereof.

         "Taxes" shall have the meaning assigned such term in Section 4.06(a).

         "Trade Payables" shall mean customary trade payables incurred in the
ordinary course of business.

         "Type" shall mean, with respect to any Loan, a Base Rate Loan or a 
Eurodollar Loan.

         "Wholly-Owned Subsidiary" shall mean, as to a Person, any Subsidiary
of which all of the outstanding shares of stock (or other ownership interests)
having by the terms thereof ordinary voting power to elect the board of
directors (or other managing persons) of such entity, other than directors'
qualifying shares, are owned or controlled by such Person or one or more of the
Wholly-Owned Subsidiaries or by such Person and one or more of the Wholly-Owned
Subsidiaries.

                 Section 1.03  Accounting Terms and Determinations.  Unless
otherwise specified herein, all accounting terms used herein shall be
interpreted, all determinations with respect to accounting matters hereunder
shall be made, and all financial statements and certificates and reports as to
financial matters required to be furnished to the Agent or the Lenders
hereunder shall be prepared, in accordance with GAAP, applied on a basis
consistent with the audited financial statements of the Borrower referred to in
Section 7.02 (except for changes concurred with by the Borrower's independent
public accountants).


                                   ARTICLE II

                                  COMMITMENTS

                 Section 2.01  Loans and Letters of Credit.

                 (a)      Loans.  Each Lender severally agrees, on the terms of
         this Agreement, to make Loans to the Borrower during the period from
         and including (i) the Closing Date or (ii) such later date that such
         Lender becomes a party to this Agreement as provided in Section
         12.06(b), to but excluding, the Revolving Credit Termination Date in
         an aggregate principal amount at any one time outstanding up to but
         not exceeding the amount of such Lender's Commitment as then in
         effect; provided, however, that the





                                      -15-
<PAGE>   22
         aggregate principal amount of all such Loans by all Lenders hereunder
         at any one time outstanding together with the LC Exposure shall not
         exceed the Aggregate Commitments.  Subject to the terms of this
         Agreement, during the period from the Closing Date to but excluding,
         the Revolving Credit Termination Date, the Borrower may borrow, repay
         and reborrow the amount described in this Section 2.01(a).  The
         initial Loans hereunder shall include the purchase by the Lenders of
         the Prior Note which shall be concurrently therewith rearranged as an
         advance under the Notes.

                 (b)      Letters of Credit.  During the period from and
         including the Closing Date to but excluding the Revolving Credit
         Termination Date, each Issuing Bank, as issuing bank for the Lenders,
         agrees to extend credit for the account of the Borrower at any time
         and from time to time by issuing renewing,  extending or reissuing
         Letters of Credit; provided however, the LC Exposure at any one time
         outstanding shall not exceed the lesser of (i) the LC Commitment or
         (ii) the Aggregate Commitments, as then in effect, minus the aggregate
         principal amount of all Loans then outstanding.  The Lenders shall
         participate in such Letters of Credit according to their respective
         Percentage Shares.  Each of the Letters of Credit shall (i) be issued
         by an Issuing Bank, (ii) contain such terms and provisions as are
         reasonably required by such Issuing Bank, (iii) be for the account of
         the Borrower and (iv) expire not later than the earlier of one year
         from the date of issuance or Revolving Credit Termination Date.

                 (c)      Limitation on Types of Loans.  Subject to the other
         terms and provisions of this Agreement, at the option of the Borrower,
         the Loans may be Base Rate Loans or Eurodollar Loans; provided that,
         without the prior written consent of the Majority Lenders, no more
         than six (6) Eurodollar Loans may be outstanding at any time from any
         Lender.

                 Section 2.02  Borrowings, Continuations and Conversions and 
Letters of Credit.

                 (a)      Borrowings.  The Borrower shall give the Agent (which
         shall promptly notify the Lenders) advance notice as hereinafter
         provided of each borrowing hereunder, which shall specify the
         aggregate amount of such borrowing, the Type and the date (which shall
         be a Business Day) of the Loans to be borrowed and (in the case of
         Eurodollar Loans) the duration of the Interest Period therefor.

                 (b)      Minimum Amounts.  If the initial borrowing consists
         in whole or in part of Eurodollar Loans, such Eurodollar Loans shall
         be in amounts of at least $1,000,000 or any whole multiple of
         $1,000,000 in excess thereof.

                 (c)      Notices.  All borrowings, continuations and
         conversions shall require advance written notice to the Agent (which
         shall promptly notify the Lenders) in the form of Exhibit B hereto (or
         telephonic notice promptly confirmed by such a written notice),





                                      -16-
<PAGE>   23
         which in each case shall be irrevocable, from the Borrower to be
         received by the Agent not later than 11:00 a.m. Houston, Texas time at
         least one Business Day prior to the date of each Base Rate Loan
         borrowing and three Business Days prior to the date of each Eurodollar
         Loan borrowing, continuation or conversion; provided, however, for
         Base Rate Loans, Borrower may request a same day advance of up to
         $5,000,000 if the request is received by the Agent not later than
         11:00 a.m. on such day.  Without in any way limiting the Borrower's
         obligation to confirm in writing any telephonic notice, the Agent may
         act without liability upon the basis of telephonic notice believed by
         the Agent in good faith to be from the Borrower prior to receipt of
         written confirmation.  In each such case, the Borrower hereby waives
         the right to dispute the Agent's record of the terms of such
         telephonic notice except in the case of gross negligence or willful
         misconduct by the Agent.

                 (d)      Continuation Options.  Subject to the provisions made
         in this Section 2.02(d), the Borrower may elect to continue all or any
         part of any Eurodollar Loan beyond the expiration of the then current
         Interest Period relating thereto by giving advance notice as provided
         in Section 2.02(c) to the Agent (which shall promptly notify the
         Lenders) of such election, specifying the amount of such Loan to be
         continued and the Interest Period therefor.  In the absence of such a
         timely and proper election, the Borrower shall be deemed to have
         elected to convert such Eurodollar Loan to a Base Rate Loan pursuant
         to Section 2.02(e).  All or any part of any Eurodollar Loan may be
         continued as provided herein, provided that (i) any continuation of
         any such Loan shall be (as to each Loan as continued for an applicable
         Interest Period) in amounts of at least $1,000,000 or any whole
         multiple of $1,000,000 in excess thereof and (ii) no Default shall
         have occurred and be continuing.  If a Default shall have occurred and
         be continuing, each Eurodollar Loan shall be converted to a Base Rate
         Loan on the last day of the Interest Period applicable thereto.

                 (e)      Conversion Options.  The Borrower may elect to
         convert all or any part of any Eurodollar Loan on the last day of the
         then current Interest Period relating thereto to a Base Rate Loan by
         giving advance notice to the Agent (which shall promptly notify the
         Lenders) of such election.  Subject to the provisions made in this
         Section 2.02(e), the Borrower may elect to convert all or any part of
         any Base Rate Loan at any time and from time to time to a Eurodollar
         Loan by giving advance notice as provided in Section 2.02(c) to the
         Agent (which shall promptly notify the Lenders) of such election.  All
         or any part of any outstanding Loan may be converted as provided
         herein, provided that (i) any conversion of any Base Rate Loan into a
         Eurodollar Loan shall be (as to each such Loan into which there is a
         conversion for an applicable Interest Period) in amounts of at least
         $1,000,000 or any whole multiple of $1,000,000 in excess thereof and
         (ii) no Default shall have occurred and be continuing.  If a Default
         shall have occurred and be continuing, no Base Rate Loan may be
         converted into a Eurodollar Loan.

                 (f)      Advances.  Not later than 11:00 a.m. Houston, Texas
         time on the date specified for each borrowing hereunder, each Lender
         shall make available the amount of





                                      -17-
<PAGE>   24
         the Loan to be made by it on such date to the Agent, to an account
         which the Agent shall specify, in immediately available funds, for the
         account of the Borrower.  The amounts so received by the Agent shall,
         subject to the terms and conditions of this Agreement, be made
         available to the Borrower by depositing the same, in immediately
         available funds, in an account of the Borrower, designated by the
         Borrower and maintained at the Principal Office.

                 (g)      Letters of Credit.  The Borrower shall give the
         Issuing Bank (which shall promptly notify the Lenders of such request
         and their Percentage Share of such Letter of Credit) advance notice to
         be received by the Issuing Bank  not later than 11:00 a.m. Houston,
         Texas time not less than three (3) Business Days prior thereto of each
         request for the issuance and at least three (3) Business Days prior to
         the date of the renewal or extension of a Letter of Credit hereunder
         which request shall specify (i) the amount of such Letter of Credit,
         (ii) the date (which shall be a Business Day) such Letter of Credit is
         to be issued, renewed or extended, (iii) the duration thereof, (iv)
         the name and address of the beneficiary thereof, (v) the form of the
         Letter of Credit and (vi) such other information as the Issuing Bank
         may reasonably request all of which shall be reasonably satisfactory
         to the Issuing Bank.  Subject to the terms and conditions of this
         Agreement, on the date specified for the issuance, renewal or
         extension of a Letter of Credit, the Issuing Bank shall issue such
         Letter of Credit to the beneficiary thereof.

                 In conjunction with the issuance of each Letter of Credit, the
         Borrower, shall execute a Letter of Credit Agreement.  In the event of
         any conflict between any provision of a Letter of Credit Agreement and
         this Agreement, the Borrower, the Issuing Bank, the Agent and the
         Lenders hereby agree that the provisions of this Agreement shall
         govern.

                 The Issuing Bank will send to the Borrower and each Lender,
         upon issuance of any Letter of Credit, or an amendment thereto, a true
         and complete copy of such Letter of Credit, or such amendment thereto.

                 Section 2.03  Changes of Commitments.

                 (a)      The Aggregate Commitments shall at all times be equal
         to the Aggregate Maximum Credit Amounts after adjustments resulting
         from reductions pursuant to Section 2.03(b) hereof until January 31,
         1999 after which date it shall be equal to the lesser of (i) the
         Aggregate Maximum Credit Amounts after adjustments resulting from
         reductions pursuant to Section 2.03(b) hereof or (ii) the Borrowing
         Base as determined from time to time.

                 (b)      The Borrower shall have the right to terminate or to
         reduce the amount of the Aggregate Maximum Credit Amounts at any time
         or from time to time upon not less than three (3) Business Days' prior
         notice to the Agent (which shall promptly notify the Lenders) of each
         such termination or reduction, which notice shall specify the
         effective date thereof and the amount of any such reduction (which
         shall not be less than





                                      -18-
<PAGE>   25

         $5,000,000 or any whole multiple of $1,000,000 in excess thereof) and
         shall be irrevocable and effective only upon receipt by the Agent.

                 (c)      The Aggregate Maximum Credit Amounts once terminated
         or reduced may not be reinstated.

                 Section 2.04  Fees.

                 (a)      Commitment Fee.  The Borrower shall pay to the Agent
         for the account of each Lender a commitment fee on the daily average
         unused amount of the Aggregate Commitments for the period from and
         including the Closing Date up to but excluding the earlier of the date
         the Aggregate Commitments are terminated or the Revolving Credit
         Termination Date at a rate per annum equal to 5/8 of 1%.  Accrued
         commitment fees shall be payable quarterly in arrears on each
         Quarterly Date and on the earlier of the date the Aggregate
         Commitments are terminated or the Revolving Credit Termination Date.

                 (b)      Letter of Credit Fees.

                          (i)     The Borrower agrees to pay the Agent, for the
                 account of the Lenders, commissions for issuing the Letters of
                 Credit on the daily average outstanding of the maximum
                 liability of the Issuing Bank existing from time to time under
                 such Letter of Credit (calculated separately for each Letter
                 of Credit) at the rate per annum equal to the Applicable
                 Margin then in effect for Eurodollar Loans, provided that each
                 Letter of Credit shall bear a minimum commission of $500.
                 Until the termination date provided therein, each Letter of
                 Credit shall be deemed to be outstanding up to the full
                 undrawn face amount of the Letter of Credit until the Issuing
                 Bank has received the canceled Letter of Credit or a written
                 cancellation of the Letter of Credit from the beneficiary of
                 such Letter of Credit in form and substance acceptable to the
                 Issuing Bank, or for any reductions in the amount of the
                 Letter of Credit (other than from a drawing), written
                 notification from the beneficiary of such Letter of Credit.
                 Such commissions are payable quarterly in arrears on each
                 Quarterly Date and upon cancellation or expiration of each
                 such Letter of Credit.

                          (ii)    The Borrower agrees to pay the Issuing Bank,
                 for its own account, an issuing fee for issuing Letters of
                 Credit on the daily average outstanding of the maximum
                 liability of the Issuing Bank existing from time to time under
                 such Letter of Credit (calculated separately for each Letter
                 of Credit) at the rate of .10% per annum, payable quarterly in
                 arrears on each Quarterly Date and upon cancellation or
                 expiration of each such Letter of Credit.

                 (c)      The Borrower shall pay to the Agent for its account
         such other fees as are set forth in the Fee Letter on the dates
         specified therein to the extent not paid prior to the Closing Date.





                                      -19-
<PAGE>   26
                 Section 2.05  Several Obligations.  The failure of any Lender
to make any Loan to be made by it or to provide funds for disbursements or
reimbursements under Letters of Credit on the date specified therefor shall not
relieve any other Lender of its obligation to make its Loan or provide funds on
such date, but no Lender shall be responsible for the failure of any other
Lender to make a Loan to be made by such other Lender or to provide funds to be
provided by such other Lender.

                 Section 2.06  Notes.  The Loans made by each Lender shall be
evidenced by a single promissory note of the Borrower in substantially the form
of Exhibit A hereto, dated (i) the Closing Date or (ii) the effective date of
an Assignment pursuant to Section 12.06(b), payable to the order of such Lender
in a principal amount equal to its Maximum Credit Amount as in effect and
otherwise duly completed and such substitute Notes as required by Section
12.06(b).  The initial advance under the Notes shall be each Lender's
Percentage Share of the purchase price of the Prior Note.  The date, amount,
Type, interest rate and Interest Period of each Loan made by each Lender, and
all payments made on account of the principal thereof, shall be recorded by
such Lender on its books for its Note, and, prior to any transfer, may be
endorsed by such Lender on a schedule attached to such Note or any continuation
thereof or on any separate record maintained by such Lender.  Failure to make
any such notation or to attach a schedule shall not affect any Lender's or the
Borrower's rights or obligations in respect of such Loans or affect the
validity of such transfer by any Lender of its Note.

                 Section 2.07  Prepayments.

                 (a)      The Borrower may prepay the Base Rate Loans upon not
         less than one (1) Business Day's prior notice to the Agent (which
         shall promptly notify the Lenders), which notice shall specify the
         prepayment date (which shall be a Business Day) and the amount of the
         prepayment (which shall be at least $1,000,000 or the remaining
         aggregate principal balance outstanding on the Notes) and shall be
         irrevocable and effective only upon receipt by the Agent, provided
         that interest on the principal prepaid, accrued to the prepayment
         date, shall be paid on the prepayment date.  The Borrower may prepay
         Eurodollar Loans on the same condition as for Base Rate Loans and in
         addition such prepayments of Eurodollar Loans shall be subject to the
         terms of Section 5.05.

                 (b)      If, after giving effect to any termination or
         reduction of the Aggregate Maximum Credit Amounts pursuant to Section
         2.03(b), the outstanding aggregate principal amount of the Loans plus
         the LC Exposure exceeds the Aggregate Maximum Credit Amounts, the
         Borrower shall (i) prepay the Loans on the date of such termination or
         reduction in an aggregate principal amount equal to the excess,
         together with interest on the principal amount paid accrued to the
         date of such prepayment and (ii) if any excess remains after prepaying
         all of the Loans, pay to the Agent on behalf of the Lenders an amount
         equal to the excess to be held as cash collateral as provided in
         Section 2.10(b) hereof.





                                      -20-
<PAGE>   27
                 (c)      Upon any redetermination of the amount of the
         Borrowing Base in accordance with Section 2.08, if the redetermined
         Borrowing Base is less than the aggregate outstanding principal amount
         of the Loans plus the LC Exposure, then the Borrower shall within
         ninety (90) days of receipt of written notice thereof: (i) prepay the
         Loans in an aggregate principal amount equal to such excess, together
         with interest on the principal amount paid accrued to the date of such
         prepayment and (ii) if a Borrowing Base deficiency remains after
         prepaying all of the Loans because of LC Exposure, the Borrower shall
         pay to the Agent on behalf of the Lenders an amount equal to such
         Borrowing Base deficiency to be held as cash collateral as provided in
         Section 2.10(b) hereof.

                 (d)      Prepayments permitted or required under this Section
         2.07 shall be without premium or penalty, except as required under
         Section 5.05 for prepayment of Eurodollar Loans.  Any prepayments on
         the Loans may be reborrowed subject to the then effective Aggregate
         Commitments.

                 Section 2.08  Borrowing Base.

                 (a)      The Borrowing Base shall be determined in accordance
         with Section 2.08(b) by the Agent with the concurrence of all of the
         Lenders and is subject to redetermination in accordance with Section
         2.08(d).  The first determination of the Borrowing Base shall be made
         on the First Borrowing Base Determination Date.  Upon any
         determination or redetermination of the Borrowing Base, such
         determination shall remain in effect until the next successive
         Redetermination Date.  "Redetermination Date" shall mean the date that
         the Borrowing Base as determined or redetermined becomes effective
         subject to the notice requirements specified in Section 2.08(e) both
         for the scheduled determination, scheduled redeterminations and
         unscheduled redeterminations.  After the First Borrowing Base
         Determination Date, so long as any of the Commitments are in effect or
         any LC Exposure or Loans are outstanding hereunder, this facility
         shall be governed by the then effective Borrowing Base.

                 (b)      Upon receipt of the reports required by Section 8.07
         and such other reports, data and supplemental information as may from
         time to time be reasonably requested by the Agent (the "Engineering
         Reports"), the Agent will determine or redetermine, as appropriate,
         the Borrowing Base and shall take into consideration, among other
         things, liquidity, market interest rates, other Debt, Trade Payables,
         general and administrative expenses and such other factors as the
         Lenders shall deem material.  Such determination or redetermination
         will be in accordance with its normal and customary procedures for
         evaluating oil and gas reserves and other related assets as such exist
         at that particular time.   The Agent, in its sole discretion, may make
         adjustments to the rates, volumes and prices and other assumptions set
         forth therein in accordance with its normal and customary procedures
         for evaluating oil and gas reserves and other related assets as such
         exist at that particular time.  The Agent shall propose to the Lenders
         a Borrowing Base within twenty (20) days following receipt by the
         Agent and the Lenders of the





                                      -21-
<PAGE>   28
         Engineering Reports in a timely and complete manner.  After having
         received notice of such proposal by the Agent, the Lenders shall have
         ten (10) Business Days to agree or disagree with such proposal.  If at
         the end of the 10 Business Days, any Lender has not communicated its
         approval or disapproval, such silence shall be deemed to be an
         approval.  If the Lenders have not approved within 10 Business Days,
         the Lenders shall, within a reasonable period of time, agree on a new
         Borrowing Base.  The Agent and all of the Lenders must approve the
         initial Borrowing Base and any increase in the Borrowing Base.  The
         Majority Lenders (one of which must be the Agent) shall be required to
         approve a continuation or decrease in any Borrowing Base.

                 (c)      The Agent may exclude any Oil and Gas Property or
         portion of production therefrom or any income from any other Property
         from the Borrowing Base, at any time, because title information is not
         reasonably satisfactory, such Property is not Mortgaged Property or
         such Property is not assignable; provided, however, the Agent shall
         not exclude an Oil and Gas Property from the Borrowing Base solely
         because it is not Mortgaged Property if Mortgaged Property includes
         90% of Borrower's proved Hydrocarbon reserves.

                 (d)      So long as any of the Commitments are in effect and
         until payment in full of all Loans hereunder, on the First Borrowing
         Base Determination Date and on or around the last Business Day of each
         September and March, commencing September 30, 1999 (each being a
         "Scheduled Redetermination Date"), the Lenders shall determine or
         redetermine, as appropriate, the amount of the Borrowing Base in
         accordance with Section 2.08(b).  In addition, each of the Majority
         Lenders and the Borrower may initiate a redetermination of the
         Borrowing Base during any consecutive twelve (12) month period by
         specifying in writing the date on which such redetermination is to
         occur.

                 (e)      The Agent shall promptly notify in writing the
         Borrower and the Lenders of the Borrowing Base as determined or
         redetermined.  Any determination of the Borrowing Base shall not be in
         effect until written notice is received by the Borrower.

                 Section 2.09  Assumption of Risks.  The Borrower assumes all
risks of the acts or omissions of any beneficiary of any Letter of Credit or
any transferee thereof with respect to its use of such Letter of Credit.
Neither any Issuing Bank (except in the case of gross negligence, willful
misconduct or bad faith on the part of the Issuing Bank or any of its
employees), its correspondents nor any Lender shall be responsible for the
validity, sufficiency or genuineness of certificates or other documents or any
endorsements thereon, even if such certificates or other documents should in
fact prove to be invalid, insufficient, fraudulent or forged; for errors,
omissions, interruptions or delays in transmissions or delivery of any messages
by mail, telex, or otherwise, whether or not they be in code; for errors in
translation or for errors in interpretation of technical terms; the validity or
sufficiency of any instrument transferring or assigning or purporting to
transfer or assign any Letter of Credit or the rights or benefits thereunder or
proceeds thereof, in whole or in part, which may prove to be invalid or
ineffective for any reason; for the failure of any beneficiary or any
transferee of any Letter of Credit to





                                      -22-
<PAGE>   29
comply fully with conditions required in order to draw upon any Letter of
Credit; or for any other consequences arising from causes beyond the Issuing
Bank's control or the control of the Issuing Bank's correspondents.  In
addition, neither the Issuing Bank, the Agent nor any Lender shall be
responsible for any error, neglect, or default of any of the Issuing Bank's
correspondents; and none of the above shall affect, impair or prevent the
vesting of any of the Issuing Bank's, the Agent's or any Lender's rights or
powers hereunder or under the Letter of Credit Agreements, all of which rights
shall be cumulative.  The Issuing Bank and its correspondents may accept
certificates or other documents that appear on their face to be in order,
without responsibility for further investigation of any matter contained
therein regardless of any notice or information to the contrary.  In
furtherance and not in limitation of the foregoing provisions, the Borrower
agrees that any action, inaction or omission taken or not taken by the Issuing
Bank or by any correspondent for the Issuing Bank in good faith in connection
with any Letter of Credit, or any related drafts, certificates, documents or
instruments, shall be binding on the Borrower and shall not put the Issuing
Bank or its correspondents under any resulting liability to the Borrower absent
gross negligence or willful misconduct of the Issuing Bank.

                 Section 2.10  Obligation to Reimburse and to Prepay.

                 (a)      If a disbursement by the Issuing Bank is made under
         any Letter of Credit, the Borrower shall pay to the Agent within two
         (2) Business Days after notice of any such disbursement is received by
         the Borrower, the amount of each such disbursement made by the Issuing
         Bank under the Letter of Credit (if such payment is not sooner
         effected as may be required under this Section 2.10 or under other
         provisions of the Letter of Credit), together with interest on the
         amount disbursed from and including the date of disbursement until
         payment in full of such disbursed amount at a varying rate per annum
         equal to (i) the then applicable interest rate for Base Rate Loans
         through the second Business Day after notice of such disbursement is
         received by the Borrower and (ii) thereafter, the Post-Default Rate
         for Base Rate Loans (but in no event to exceed the Highest Lawful
         Rate) for the period from and including the third Business Day
         following the date of such disbursement to and including the date of
         repayment in full of such disbursed amount.  The obligations of the
         Borrower under this Agreement with respect to each Letter of Credit
         shall be absolute, unconditional and irrevocable and shall be paid or
         performed strictly in accordance with the terms of this Agreement
         under all circumstances whatsoever, including, without limitation, but
         only to the fullest extent permitted by applicable law, the following
         circumstances: (i) any lack of validity or enforceability of this
         Agreement, any Letter of Credit or any of the other Loan Documents;
         (ii) any amendment or waiver of (including any default), or any
         consent to departure from this Agreement (except to the extent
         permitted by any amendment or waiver), any Letter of Credit or any of
         the other Loan Documents; (iii) the existence of any claim, set-off,
         defense or other rights which the Borrower may have at any time
         against the beneficiary of any Letter of Credit or any transferee of
         any Letter of Credit (or any Persons for whom any such beneficiary or
         any such transferee may be acting), the Issuing Bank, the Agent, any
         Lender or any other Person, whether in connection with this Agreement,
         any Letter of Credit, the other Loan Documents, the





                                      -23-
<PAGE>   30
         transactions contemplated hereby or any unrelated transaction; (iv)
         any statement, certificate, draft, notice or any other document
         presented under any Letter of Credit proves to have been forged,
         fraudulent, insufficient or invalid in any respect or any statement
         therein proves to have been untrue or inaccurate in any respect
         whatsoever; (v) payment by the Issuing Bank under any Letter of Credit
         against presentation of a draft or certificate which appears on its
         face to comply, but does not comply, with the terms of such Letter of
         Credit; and (vi) any other circumstance or happening whatsoever,
         whether or not similar to any of the foregoing.

         Notwithstanding anything in this Agreement to the contrary, the
         Borrower will not be liable for payment or performance that results
         from the gross negligence or willful misconduct of the Issuing Bank,
         except where the Borrower actually recovers the proceeds for itself or
         the Issuing Bank of any payment made by the Issuing Bank in connection
         with such gross negligence or willful misconduct.

                 (b)      In the event of the occurrence of any Event of
         Default, a payment or prepayment pursuant to Sections 2.07(b) and (c)
         hereof or the maturity of the Notes, whether by acceleration or
         otherwise, an amount equal to the LC Exposure (or the excess in the
         case of Sections 2.07(b) and (c)) shall be deemed to be forthwith
         payable by the Borrower to the Issuing Bank, the Agent and the Lenders
         as of the date of any such occurrence; and the Borrower's obligation
         to pay such amount shall be absolute and unconditional, without regard
         to whether any beneficiary of any such Letter of Credit has attempted
         to draw down all or a portion of such amount under the terms of a
         Letter of Credit, and, to the fullest extent permitted by applicable
         law, shall not be subject to any defense or be affected by a right of
         set-off, counterclaim or recoupment which the Borrower may now or
         hereafter have against any such beneficiary, the Issuing Bank, the
         Agent, the Lenders or any other Person for any reason whatsoever.
         Such payments shall be held by the Agent on behalf of the Lenders as
         cash collateral securing the LC Exposure in an account or accounts at
         the Principal Office; and the Borrower hereby grants to and by its
         deposit with the Agent grants to the Agent a security interest in such
         cash collateral.  In the event of any such payment by the Borrower of
         amounts contingently owing under outstanding Letters of Credit and in
         the event that thereafter drafts or other demands for payment
         complying with the terms of such Letters of Credit are not made prior
         to the respective expiration dates thereof, the Agent agrees, if no
         Event of Default has occurred and is continuing or if no other amounts
         are outstanding under this Agreement, the Notes or any of the other
         Loan Documents, to remit to the Borrower amounts for which the
         contingent obligations evidenced by the Letters of Credit have ceased.

                 (c)      Each Lender severally and unconditionally agrees that
         it shall promptly reimburse the Issuing Bank an amount equal to such
         Lender's Percentage Share of any disbursement made by the Issuing Bank
         under any Letter of Credit that is not reimbursed according to this
         Section 2.10.





                                      -24-
<PAGE>   31
                 Section 2.11  Lending Offices.  The Loans of each Type made by
each Lender shall be made and maintained at such Lender's Applicable Lending
Office for Loans of such Type.


                                  ARTICLE III

                       PAYMENTS OF PRINCIPAL AND INTEREST

                 Section 3.01  Repayment of Loans.  On the Revolving Credit
Termination Date the Borrower shall repay the outstanding aggregate principal
and accrued and unpaid interest under the Notes.

                 Section 3.02  Interest.  The Borrower will pay to the Agent,
for the account of each Lender, interest on the unpaid principal amount of each
Loan made by such Lender for the period commencing on the date such Loan is
made to but excluding the date such Loan shall be paid in full, at the
following rates per annum:

         (i)     if such a Loan is a Base Rate Loan, the Base Rate (as in
effect from time to time) plus the Applicable Margin (as in effect from time to
time), but in no event to exceed the Highest Lawful Rate; and

         (ii)    if such a Loan is a Eurodollar Loan, for each Interest Period
(or portion thereof) relating thereto, the Eurodollar Rate for such Loan plus
the Applicable Margin (as in effect from time to time), but in no event to
exceed the Highest Lawful Rate.

Notwithstanding the foregoing, the Borrower will pay to the Agent, for the
account of each Lender interest at the applicable Post-Default Rate on any
principal of any Loan made by such Lender, and (to the fullest extent permitted
by law) on any other amount payable by the Borrower hereunder, under any Loan
Document or under any Note held by such Lender to or for account of such
Lender, for the period commencing on the date of an Event of Default until the
same is paid in full or all such Events of Default are cured or waived.

         Accrued interest on Base Rate Loans shall be payable on each Quarterly
Date commencing on March 31, 1998, and accrued interest on each Eurodollar Loan
shall be payable on the last day of the Interest Period therefor and, if such
Interest Period is longer than three months at three-month intervals following
the first day of such Interest Period, except that interest payable at the
Post-Default Rate shall be payable from time to time on demand and interest on
any Eurodollar Loan that is converted into a Base Rate Loan (pursuant to
Section 5.04) shall be payable on the date of conversion (but only to the
extent so converted).

         Promptly after the determination of any interest rate provided for
herein or any change therein, the Agent shall notify the Lenders to which such
interest is payable and the Borrower





                                      -25-
<PAGE>   32
thereof.  Each determination by the Agent of an interest rate or fee hereunder
shall be prima facie evidence of the amount thereof.


                                   ARTICLE IV

                PAYMENTS; PRO RATA TREATMENT; COMPUTATIONS; ETC.

                 Section 4.01  Payments.  Except to the extent otherwise
provided herein, all payments of principal, interest and other amounts to be
made by the Borrower under the Loan Documents shall be made in Dollars, in
immediately available funds, to the Agent at such account as the Agent shall
specify by notice to the Borrower from time to time, not later than noon
Houston, Texas time on the date on which such payments shall become due (each
such payment made after such time on such due date to be deemed to have been
made on the next succeeding Business Day).  Such payments shall be made without
(to the fullest extent permitted by applicable law) defense, set-off or
counterclaim.  Each payment received by the Agent under this Agreement or any
Note for account of a Lender shall be paid promptly to such Lender in
immediately available funds.  Except as provided in clause (iii) of the
definition of "Interest Period", if the due date of any payment under this
Agreement or any Note would otherwise fall on a day which is not a Business Day
such date shall be extended to the next succeeding Business Day and interest
shall be payable for any principal so extended for the period of such
extension.  At the time of each payment to the Agent of any principal of or
interest on any borrowing, the Borrower shall notify the Agent of the Loans to
which such payment shall apply.  In the absence of such notice the Agent may
specify the Loans to which such payment shall apply, but to the extent possible
such payment or prepayment will be applied first to the Loans comprised of Base
Rate Loans.

                 Section 4.02  Pro Rata Treatment.  Except to the extent
otherwise provided herein each Lender agrees that:  (i) each borrowing from the
Lenders under Section 2.01 and each continuation and conversion under Section
2.02 shall be made from the Lenders pro rata in accordance with their
Percentage Share, each payment of commitment fee or other fees under Sections
2.04(a) and (b) shall be made for account of the Lenders pro rata in accordance
with their Percentage Share, and each termination or reduction of the amount of
the Aggregate Maximum Credit Amounts under Section 2.03(b) shall be applied to
the Commitment of each Lender, pro rata according to the amounts of its
respective Commitment; (ii) each payment of principal of Loans by the Borrower
shall be made for account of the Lenders pro rata in accordance with the
respective unpaid principal amount of the Loans held by the Lenders; and (iii)
each payment of interest on Loans by the Borrower shall be made for account of
the Lenders pro rata in accordance with the amounts of interest due and payable
to the respective Lenders; and (iv) each reimbursement by the Borrower of
disbursements under Letters of Credit shall be made for account of the Issuing
Bank or, if funded by the Lenders, pro rata for the account of the Lenders, in
accordance with the amounts of reimbursement obligations due and payable to
each respective Lender.





                                      -26-
<PAGE>   33
                 Section 4.03  Computations.  Interest on Eurodollar Loans and
fees shall be computed on the basis of a year of 360 days and actual days
elapsed (including the first day but excluding the last day) occurring in the
period for which such interest is payable, unless such calculation would exceed
the Highest Lawful Rate, in which case interest shall be calculated on the per
annum basis of a year of 365 or 366 days, as the case may be.  Interest on Base
Rate Loans shall be computed on the basis of a year of 365 or 366 days, as the
case may be, and actual days elapsed (including the first day but excluding the
last day) occurring in the period for which such interest is payable.

                 Section 4.04  Non-receipt of Funds by the Agent.  Unless the
Agent shall have been notified by a Lender or the Borrower prior to the date on
which such notifying party is scheduled to make payment to the Agent (in the
case of a Lender) of the proceeds of a Loan or a payment under a Letter of
Credit to be made by it hereunder or (in the case of the Borrower) a payment to
the Agent for account of one or more of the Lenders hereunder (such payment
being herein called the "Required Payment"), which notice shall be effective
upon receipt, that it does not intend to make the Required Payment to the
Agent, the Agent may assume that the Required Payment has been made and may, in
reliance upon such assumption (but shall not be required to), make the amount
thereof available to the intended recipient(s) on such date and, if such Lender
or the Borrower (as the case may be) has not in fact made the Required Payment
to the Agent, the recipient(s) of such payment shall, on demand, repay to the
Agent the amount so made available together with interest thereon in respect of
each day during the period commencing on the date such amount was so made
available by the Agent until but excluding the date the Agent recovers such
amount at a rate per annum which, for any Lender as recipient, will be equal to
the Federal Funds Rate, and for the Borrower as recipient, will be equal to the
Base Rate plus the Applicable Margin.

                 Section 4.05  Set-off, Sharing of Payments, Etc.

                 (a)      The Borrower agrees that, in addition to (and without
         limitation of) any right of set-off, bankers' lien or counterclaim a
         Lender may otherwise have, each Lender shall have the right and be
         entitled (after consultation with the Agent), at its option, to offset
         balances held by it or by any of its Affiliates for account of the
         Borrower at any of its offices, in Dollars or in any other currency,
         against any principal of or interest on any of such Lender's Loans, or
         any other amount payable to such Lender hereunder, which is not paid
         when due (regardless of whether such balances are then due to the
         Borrower), in which case it shall promptly notify the Borrower and the
         Agent thereof, provided that such Lender's failure to give such notice
         shall not affect the validity thereof.

                 (b)      If any Lender shall obtain payment of any principal
         of or interest on any Loan made by it to the Borrower under this
         Agreement (or reimbursement as to any Letter of Credit) through the
         exercise of any right of set-off, banker's lien or counterclaim or
         similar right or otherwise, and, as a result of such payment, such
         Lender shall have received a greater percentage of the principal or
         interest (or reimbursement) then due hereunder by the Borrower to such
         Lender than the percentage received by any other





                                      -27-
<PAGE>   34
         Lenders, it shall promptly (i) notify the Agent and each other Lender
         thereof and (ii) purchase from such other Lenders participations in
         (or, if and to the extent specified by such Lender, direct interests
         in) the Loans (or participations in Letters of Credit) made by such
         other Lenders (or in interest due thereon, as the case may be) in such
         amounts, and make such other adjustments from time to time as shall be
         equitable, to the end that all the Lenders shall share the benefit of
         such excess payment (net of any expenses which may be incurred by such
         Lender in obtaining or preserving such excess payment) pro rata in
         accordance with the unpaid principal and/or interest on the Loans held
         by each of the Lenders (or reimbursements of Letters of Credit).  To
         such end all the Lenders shall make appropriate adjustments among
         themselves (by the resale of participations sold or otherwise) if such
         payment is rescinded or must otherwise be restored.  The Borrower
         agrees that any Lender so purchasing a participation (or direct
         interest) in the Loans made by other Lenders (or in interest due
         thereon, as the case may be) may exercise all rights of set-off,
         banker's lien, counterclaim or similar rights with respect to such
         participation as fully as if such Lender were a direct holder of Loans
         (or Letters of Credit) in the amount of such participation.  Nothing
         contained herein shall require any Lender to exercise any such right
         or shall affect the right of any Lender to exercise, and retain the
         benefits of exercising, any such right with respect to any other
         indebtedness or obligation of the Borrower.  If under any applicable
         bankruptcy, insolvency or other similar law, any Lender receives a
         secured claim in lieu of a set-off to which this Section 4.05 applies,
         such Lender shall, to the extent practicable, exercise its rights in
         respect of such secured claim in a manner consistent with the rights
         of the Lenders entitled under this Section 4.05 to share the benefits
         of any recovery on such secured claim.

                 Section 4.06  Taxes.

                 (a)      Payments Free and Clear.  Any and all payments by the
         Borrower hereunder shall be made, in accordance with Section 4.01,
         free and clear of and without deduction for any and all present or
         future taxes, levies, imposts, deductions, charges or withholdings,
         and all liabilities with respect thereto, excluding, in the case of
         each Lender and the Issuing Bank and the Agent, taxes imposed on its
         income, and franchise or similar taxes imposed on it, by (i) any
         jurisdiction (or political subdivision thereof) of which the Agent,
         the Issuing Bank or such Lender, as the case may be, is a citizen or
         resident or in which such Lender has an Applicable Lending Office,
         (ii) the jurisdiction (or any political subdivision thereof) in which
         the Agent or such Lender is organized, or (iii) any jurisdiction (or
         political subdivision thereof) in which such Lender or the Agent is
         presently doing business in which taxes are imposed solely as a result
         of doing business in such jurisdiction (all such non-excluded taxes,
         levies, imposts, deductions, charges, withholdings and liabilities
         being hereinafter referred to as "Taxes").  If the Borrower shall be
         required by law to deduct any Taxes from or in respect of any sum
         payable hereunder to the Lenders, the Issuing Bank or the Agent (i)
         the sum payable shall be increased by the amount necessary so that
         after making all required deductions (including deductions applicable
         to additional sums payable under this Section 4.06) such Lender, the
         Issuing Bank or the Agent (as the case may be) shall receive an amount
         equal to the





                                      -28-
<PAGE>   35
         sum it would have received had no such deductions been made, (ii) the
         Borrower shall make such deductions and (iii) the Borrower shall pay
         the full amount deducted to the relevant taxing authority or other
         Governmental Authority in accordance with applicable law.

                 (b)      Other Taxes.  In addition, to the fullest extent
         permitted by applicable law, the Borrower agrees to pay any present or
         future stamp or documentary taxes or any other excise or property
         taxes, charges or similar levies that arise from any payment made
         hereunder or from the execution, delivery or registration of, or
         otherwise with respect to, this Agreement, any Assignment or any other
         Loan Document (hereinafter referred to as "Other Taxes").

                 (c)      INDEMNIFICATION.  TO THE FULLEST EXTENT PERMITTED BY
         APPLICABLE LAW, THE BORROWER WILL INDEMNIFY EACH LENDER, THE ISSUING
         BANK AND THE AGENT FOR THE FULL AMOUNT OF TAXES AND OTHER TAXES
         (INCLUDING, BUT NOT LIMITED TO, ANY TAXES OR OTHER TAXES IMPOSED BY
         ANY GOVERNMENTAL AUTHORITY ON AMOUNTS PAYABLE UNDER THIS SECTION 4.06)
         PAID BY SUCH LENDER, THE ISSUING BANK OR THE AGENT (ON THEIR BEHALF OR
         ON BEHALF OF ANY LENDER), AS THE CASE MAY BE, AND ANY LIABILITY
         (INCLUDING PENALTIES, INTEREST AND EXPENSES) ARISING THEREFROM OR WITH
         RESPECT THERETO, WHETHER OR NOT SUCH TAXES OR OTHER TAXES WERE
         CORRECTLY OR LEGALLY ASSERTED UNLESS THE PAYMENT OF SUCH TAXES WAS NOT
         CORRECTLY OR LEGALLY ASSERTED AND SUCH LENDER'S PAYMENT OF SUCH TAXES
         OR OTHER TAXES WAS THE RESULT OF ITS GROSS NEGLIGENCE OR WILLFUL
         MISCONDUCT.  ANY PAYMENT PURSUANT TO SUCH INDEMNIFICATION SHALL BE
         MADE WITHIN THIRTY (30) DAYS AFTER THE DATE ANY LENDER, THE ISSUING
         BANK OR THE AGENT, AS THE CASE MAY BE, MAKES WRITTEN DEMAND THEREFOR.
         IF ANY LENDER OR THE AGENT RECEIVES A REFUND OR CREDIT IN RESPECT OF
         ANY TAXES OR OTHER TAXES FOR WHICH SUCH LENDER, ISSUING BANK OR THE
         AGENT HAS RECEIVED PAYMENT FROM THE BORROWER IT SHALL PROMPTLY NOTIFY
         THE BORROWER OF SUCH REFUND OR CREDIT AND SHALL, IF NO DEFAULT HAS
         OCCURRED AND IS CONTINUING, WITHIN THIRTY (30) DAYS AFTER RECEIPT OF A
         REQUEST BY THE BORROWER (OR PROMPTLY UPON RECEIPT, IF THE BORROWER HAS
         REQUESTED APPLICATION FOR SUCH REFUND OR CREDIT PURSUANT HERETO), PAY
         AN AMOUNT EQUAL TO SUCH REFUND OR CREDIT TO THE BORROWER WITHOUT
         INTEREST (BUT WITH ANY INTEREST SO REFUNDED OR CREDITED), PROVIDED
         THAT THE BORROWER, UPON THE REQUEST OF SUCH LENDER, ISSUING BANK OR
         THE AGENT, AGREES TO RETURN SUCH REFUND OR CREDIT (PLUS PENALTIES,
         INTEREST OR OTHER CHARGES) TO SUCH LENDER OR THE AGENT IN THE EVENT
         SUCH LENDER OR THE AGENT IS REQUIRED TO REPAY SUCH REFUND OR CREDIT.

                 (d)      Lender Representations.

                          (i)     Each Lender represents that it is either (1)
                 a corporation or banking association organized under the laws
                 of the United States of America or any state thereof or (2) it
                 is entitled to complete exemption from United States
                 withholding





                                      -29-
<PAGE>   36
                 tax imposed on or with respect to any payments, including
                 fees, to be made to it pursuant to this Agreement (A) under an
                 applicable provision of a tax convention to which the United
                 States of America is a party or (B) because it is acting
                 through a branch, agency or office in the United States of
                 America and any payment to be received by it hereunder is
                 effectively connected with a trade or business in the United
                 States of America.  Each Lender that is not a corporation or
                 banking association organized under the laws of the United
                 States of America or any state thereof agrees to provide to
                 the Borrower and the Agent on the Closing Date, or on the date
                 of its delivery of the Assignment pursuant to which it becomes
                 a Lender, and at such other times as required by United States
                 law or as the Borrower or the Agent shall reasonably request,
                 two accurate and complete original signed copies of either (A)
                 Internal Revenue Service Form 4224 (or successor form)
                 certifying that all payments to be made to it hereunder will
                 be effectively connected to a United States trade or business
                 (the "Form 4224 Certification") or (B) Internal Revenue
                 Service Form 1001 (or successor form) certifying that it is
                 entitled to the benefit of a provision of a tax convention to
                 which the United States of America is a party which completely
                 exempts from United States withholding tax all payments to be
                 made to it hereunder (the "Form 1001 Certification").  In
                 addition, each Lender agrees that if it previously filed a
                 Form 4224 Certification, it will deliver to the Borrower and
                 the Agent a new Form 4224 Certification prior to the first
                 payment date occurring in each of its subsequent taxable
                 years; and if it previously filed a Form 1001 Certification,
                 it will deliver to the Borrower and the Agent a new
                 certification prior to the first payment date falling in the
                 third year following the previous filing of such
                 certification.  Each Lender also agrees to deliver to the
                 Borrower and the Agent such other or supplemental forms as may
                 at any time be required as a result of changes in applicable
                 law or regulation in order to confirm or maintain in effect
                 its entitlement to exemption from United States withholding
                 tax on any payments hereunder, provided that the circumstances
                 of such Lender at the relevant time and applicable laws permit
                 it to do so.  If a Lender determines, as a result of any
                 change in either (i) a Governmental Requirement or (ii) its
                 circumstances, that it is unable to submit any form or
                 certificate that it is obligated to submit pursuant to this
                 Section 4.06, or that it is required to withdraw or cancel any
                 such form or certificate previously submitted, it shall
                 promptly notify the Borrower and the Agent of such fact.  If a
                 Lender is organized under the laws of a jurisdiction outside
                 the United States of America, unless the Borrower and the
                 Agent have received a Form 1001 Certification or Form 4224
                 Certification satisfactory to them indicating that all
                 payments to be made to such Lender hereunder are not subject
                 to United States withholding tax, the Borrower shall withhold
                 taxes from such payments at the applicable statutory rate.
                 Each Lender agrees to indemnify and hold harmless the Borrower
                 or Agent, as applicable, from any United States taxes,
                 penalties, interest and other expenses, costs and losses
                 incurred or payable by (i) the Agent as a result of such
                 Lender's failure to submit any form or certificate that it is
                 required to provide pursuant to this Section 4.06 or (ii) the





                                      -30-
<PAGE>   37

                 Borrower or the Agent as a result of their reliance on any
                 such form or certificate which such Lender has provided to
                 them pursuant to this Section 4.06.

                          (ii)    For any period with respect to which a Lender
                 has failed to provide the Borrower with the form required
                 pursuant to this Section 4.06, if any, (other than if such
                 failure is due to a change in a Governmental Requirement
                 occurring subsequent to the date on which a form originally
                 was required to be provided), such Lender shall not be
                 entitled to indemnification under Section 4.06 with respect to
                 taxes imposed by the United States which taxes would not have
                 been imposed but for such failure to provide such forms;
                 provided, however, that should a Lender, which is otherwise
                 exempt from or subject to a reduced rate of withholding tax
                 becomes subject to taxes because of its failure to deliver a
                 form required hereunder, the Borrower shall take such steps as
                 such Lender shall reasonably request to assist such Lender to
                 recover such taxes.

                          (iii)   Any Lender claiming any additional amounts
                 payable pursuant to this Section 4.06 shall use reasonable
                 efforts (consistent with legal and regulatory restrictions) to
                 file any certificate or document requested by the Borrower or
                 the Agent or to change the jurisdiction of its Applicable
                 Lending Office or to contest any tax imposed if the making of
                 such a filing or change or contesting such tax would avoid the
                 need for or reduce the amount of any such additional amounts
                 that may thereafter accrue and would not, in the sole
                 determination of such Lender, be otherwise disadvantageous to
                 such Lender.


                                   ARTICLE V

                                CAPITAL ADEQUACY

                 Section 5.01  Additional Costs.

                 (a)      Eurodollar Regulations, etc.  The Borrower shall pay
         directly to each Lender from time to time such amounts as such Lender
         may determine to be necessary to compensate such Lender for any costs
         which it determines are attributable to its making or maintaining of
         any Eurodollar Loans or issuing or participating in Letters of Credit
         hereunder or its obligation to make any Eurodollar Loans or issue or
         participate in any Letters of Credit hereunder, or any reduction in
         any amount receivable by such Lender hereunder in respect of any of
         such Eurodollar Loans, Letters of Credit or such obligation (such
         increases in costs and reductions in amounts receivable being herein
         called "Additional Costs"), resulting from any Regulatory Change
         which: (i) changes the basis of taxation of any amounts payable to
         such Lender under this Agreement or any Note in respect of any of such
         Eurodollar Loans or Letters of Credit (other than taxes described as
         excluded under Section 4.06(a)); or (ii) imposes or modifies any
         reserve, special deposit, minimum capital, capital ratio or similar
         requirements relating to any





                                      -31-
<PAGE>   38
         extensions of credit or other assets of, or any deposits with or other
         liabilities of such Lender, or the Commitment or Loans of such Lender
         or the Eurodollar interbank market; or (iii) imposes any other
         condition affecting this Agreement or any Note (or any of such
         extensions of credit or liabilities) or such Lender's Commitment or
         Loans.  Each Lender will notify the Agent and the Borrower of any
         event occurring after the Closing Date which will entitle such Lender
         to compensation pursuant to this Section 5.01(a) as promptly as
         practicable after it obtains knowledge thereof and determines to
         request such compensation, and will designate a different Applicable
         Lending Office for the Loans of such Lender affected by such event if
         such designation will avoid the need for, or reduce the amount of,
         such compensation and will not, in the reasonable opinion of such
         Lender, be disadvantageous to such Lender, provided that such Lender
         shall have no obligation to so designate an Applicable Lending Office
         located in the United States.  If any Lender requests compensation
         from the Borrower under this Section 5.01(a), the Borrower may, by
         notice to such Lender, suspend the obligation of such Lender to make
         additional Loans of the Type with respect to which such compensation
         is requested until the Regulatory Change giving rise to such request
         ceases to be in effect (in which case the provisions of Section 5.04
         shall be applicable).

                 (b)      Regulatory Change.  Without limiting the effect of
         the provisions of Section 5.01(a), in the event that, by reason of any
         Regulatory Change or any other circumstances arising after the Closing
         Date affecting such Lender, the Eurodollar interbank market or such
         Lender's position in such market, any Lender either (i) incurs
         Additional Costs based on or measured by the excess above a specified
         level of the amount of a category of deposits or other liabilities of
         such Lender which includes deposits by reference to which the interest
         rate on Eurodollar Loans is determined as provided in this Agreement
         or a category of extensions of credit or other assets of such Lender
         which includes Eurodollar Loans or (ii) becomes subject to
         restrictions on the amount of such a category of liabilities or assets
         which it may hold, then, if such Lender so elects by notice to the
         Borrower, the obligation of such Lender to make additional Eurodollar
         Loans shall be suspended until such Regulatory Change or other
         circumstances ceases to be in effect (in which case the provisions of
         Section 5.04 shall be applicable).

                 (c)      Capital Adequacy.  Without limiting the effect of the
         foregoing provisions of this Section 5.01 (but without duplication),
         the Borrower shall pay directly to any Lender from time to time on
         request such amounts as such Lender may reasonably determine to be
         necessary to compensate such Lender or its parent or holding company
         for any costs which it determines are attributable to the maintenance
         by such Lender or its parent or holding company (or any Applicable
         Lending Office), pursuant to any Governmental Requirement resulting
         from any Regulatory Change, of capital in respect of its Commitment,
         its Note or its Loans or any interest held by it in any Letter of
         Credit, such compensation to include, without limitation, an amount
         equal to any reduction of the rate of return on assets or equity of
         such Lender or its parent or holding company (or any Applicable Lending
         Office) to a level below that which such Lender or its parent or 





                                      -32-
<PAGE>   39
         holding company (or any Applicable Lending Office) could have achieved
         but for such Regulatory Change.  Such Lender will notify the Borrower
         that it is entitled to compensation pursuant to this Section 5.01(c) as
         promptly as practicable after it determines to request such
         compensation.

                 (d)      Compensation Procedure.  Any Lender notifying the
         Borrower of the incurrence of additional costs under this Section 5.01
         shall in such notice to the Borrower and the Agent set forth in
         reasonable detail the basis and amount of its request for
         compensation.  Determinations and allocations by each Lender for
         purposes of this Section 5.01 of the effect of any Regulatory Change
         pursuant to Section 5.01(a) or (b), or of the effect of capital
         maintained pursuant to Section 5.01(c), on its costs or rate of return
         of maintaining Loans or its obligation to make Loans or issue Letters
         of Credit, or on amounts receivable by it in respect of Loans or
         Letters of Credit, and of the amounts required to compensate such
         Lender under this Section 5.01, shall be conclusive and binding for
         all purposes, provided that such determinations and allocations are
         made on a reasonable basis.  Any request for additional compensation
         under this Section 5.01 shall be paid by the Borrower within thirty
         (30) days of the receipt by the Borrower of the notice described in
         this Section 5.01(d).

                 Section 5.02  Limitation on Eurodollar Loans.  Anything herein
to the contrary notwithstanding, if, on or prior to the determination of any
Eurodollar Rate for any Interest Period:

         (i)     the Agent determines (which determination shall be conclusive,
absent manifest error) that quotations of interest rates for the relevant
deposits referred to in the definition of "Eurodollar Rate" in Section 1.02 are
not being provided in the relevant amounts or for the relevant maturities for
purposes of determining rates of interest for Eurodollar Loans as provided
herein; or

         (ii)    the Agent determines (which determination shall be conclusive,
absent manifest error) that the relevant rates of interest referred to in the
definition of "Eurodollar Rate" in Section 1.02 upon the basis of which the
rate of interest for Eurodollar Loans for such Interest Period is to be
determined are not sufficient to adequately cover the cost to the Lenders of
making or maintaining Eurodollar Loans;

then the Agent shall give the Borrower prompt notice thereof, and so long as
such condition remains in effect, the Lenders shall be under no obligation to
make additional Eurodollar Loans.

                 Section 5.03  Illegality.  Notwithstanding any other provision
of this Agreement, in the event that it becomes unlawful for any Lender or its
Applicable Lending Office to honor its obligation to make or maintain
Eurodollar Loans hereunder, then such Lender shall promptly notify the Borrower
thereof and such Lender's obligation to make Eurodollar Loans shall be
suspended until such time as such Lender may again make and maintain Eurodollar
Loans (in which case the provisions of Section 5.04 shall be applicable).





                                      -33-
<PAGE>   40
                 Section 5.04  Base Rate Loans Pursuant to Sections 5.01, 5.02
and 5.03.  If the obligation of any Lender to make Eurodollar Loans shall be
suspended pursuant to Sections 5.01, 5.02 or 5.03 ("Affected Loans"), all
Affected Loans which would otherwise be made by such Lender shall be made
instead as Base Rate Loans (and, if an event referred to in Section 5.01(b) or
Section 5.03 has occurred and such Lender so requests by notice to the
Borrower, all Affected Loans of such Lender then outstanding shall be
automatically converted into Base Rate Loans on the date specified by such
Lender in such notice) and, to the extent that Affected Loans are so made as
(or converted into) Base Rate Loans, all payments of principal which would
otherwise be applied to such Lender's Affected Loans shall be applied instead
to its Base Rate Loans.

                 Section 5.05  Compensation.  The Borrower shall pay to each
Lender within thirty (30) days of receipt of written request of such Lender
(which request shall set forth, in reasonable detail, the basis for requesting
such amounts and which shall be conclusive and binding for all purposes
provided that such determinations are made on a reasonable basis), such amount
or amounts as shall compensate it for any loss, cost, expense or liability
which such Lender determines are attributable to:

         (i)     any payment, prepayment or conversion of a Eurodollar Loan
properly made in accordance herewith by such Lender or the Borrower for any
reason (including, without limitation, the acceleration of the Loans pursuant
to Section 10.02) on a date other than the last day of the Interest Period for
such Loan; or

         (ii)    any failure by the Borrower for any reason (including but not
limited to, the failure of any of the conditions precedent specified in Article
VI to be satisfied) to borrow, continue or convert a Eurodollar Loan from such
Lender on the date for such borrowing, continuation or conversion specified in
the relevant notice given pursuant to Section 2.02(c).

Without limiting the effect of the preceding sentence, such compensation shall
include an amount equal to the excess, if any, of (i) the amount of interest
which would have accrued on the principal amount so paid, prepaid or converted
or not borrowed for the period from the date of such payment, prepayment or
conversion or failure to borrow to the last day of the Interest Period for such
Loan (or, in the case of a failure to borrow, the Interest Period for such Loan
which would have commenced on the date specified for such borrowing) at the
applicable rate of interest for such Loan provided for herein over (ii) the
interest component of the amount such Lender would have bid in the London
interbank market for Dollar deposits of leading banks in amounts comparable to
such principal amount and with maturities comparable to such period (as
reasonably determined by such Lender).

                 Section 5.06  Replacement Lenders.

                 (a)      If any Lender has notified the Borrower and the Agent
         of its incurring additional costs under Section 5.01 hereof or has
         required the Borrower to make payments for Taxes under Section 4.06
         hereof, then the Borrower may, unless such





                                      -34-
<PAGE>   41
         Lender has notified the Borrower and the Agent that the circumstances
         giving rise to such notice no longer apply, terminate, in whole but
         not in part, the Commitment of any Lender (other than the Agent) (the
         "Terminated Lender") at any time upon five (5) Business Days' prior
         written notice to the Terminated Lender and the Agent (such notice
         referred to herein as a "Notice of Termination").

                 (b)      In order to effect the termination of the Commitment
         of the Terminated Lender, the Borrower shall: (i) obtain an agreement
         with one or more Lenders to increase their Commitment or Commitments
         and/or (ii) request any one or more other banking institutions to
         become parties to this Agreement in place and instead of such
         Terminated Lender and agree to accept a Commitment or Commitments;
         provided, however, that such one or more other banking institutions
         are reasonably acceptable to the Agent and become parties by executing
         an Assignment (the Lenders or other banking institutions that agree to
         accept in whole or in part the Commitment of the Terminated Lender
         being referred to herein as the "Replacement Lenders"), such that the
         aggregate increased and/or accepted Commitments of the Replacement
         Lenders under clauses (i) and (ii) above equal the Commitment of the
         Terminated Lender.

                 (c)      The Notice of Termination shall include the name of
         the Terminated Lender, the date the termination will occur (the
         "Termination Date"), and the Replacement Lender or Replacement Lenders
         to which the Terminated Lender will assign its Commitment and, if
         there will be more than one Replacement Lender, the portion of the
         Terminated Lender's Commitment to be assigned to each Replacement
         Lender.

                 (d)      On the Termination Date, (i) the Terminated Lender
         shall by execution and delivery of an Assignment assign its Commitment
         to the Replacement Lender or Replacement Lenders (pro rata, if there
         is more than one Replacement Lender, in proportion to the portion of
         the Terminated Lender's Commitment to be assigned to each Replacement
         Lender) indicated in the Notice of Termination and shall assign to the
         Replacement Lender or Replacement Lenders each of its Loans (if any)
         then outstanding and participation interests in Letters of Credit (if
         any) then outstanding pro rata as aforesaid), (ii) the Terminated
         Lender shall endorse its Note, payable without recourse,
         representation or warranty to the order of the Replacement Lender or
         Replacement Lenders (pro rata as aforesaid), (iii) the Replacement
         Lender or Replacement Lenders shall purchase the Note held by the
         Terminated Lender (pro rata as aforesaid) at a price equal to the
         unpaid principal amount thereof plus interest and facility and other
         fees accrued and unpaid to the Termination Date, and (iv) the
         Replacement Lender or Replacement Lenders will thereupon (pro rata as
         aforesaid) succeed to and be substituted in all respects for the
         Terminated Lender with like effect as if becoming a Lender pursuant to
         the terms of Section 12.06(b), and the Terminated Lender will have the
         rights and benefits of an assignor under Section 12.06(b).  To the
         extent not in conflict, the terms of Section 12.06(b) shall supplement
         the provisions of this Section 5.06(d).  For each assignment made
         under this Section 5.06, the Replacement Lender shall pay to the





                                      -35-
<PAGE>   42
         Agent the processing fee provided for in Section 12.06(b).  The
         Borrower will be responsible for the payment of any breakage costs
         associated with termination of the  Terminated Lender, as set forth in
         Section 5.05.


                                   ARTICLE VI

                              CONDITIONS PRECEDENT

                 Section 6.01  Initial Funding.

                 The obligation of the Lenders to make the Initial Funding
(which shall include the purchase price of the Prior Note) is subject to the
receipt by the Agent and the Lenders of all fees payable pursuant to Section
2.04 on or before the Closing Date and the receipt by the Agent of the
following documents and satisfaction of the other conditions provided in this
Section 6.01, each of which shall be satisfactory to the Agent in form and
substance:

                 (a)      A certificate of the Secretary or an Assistant
         Secretary of each of Brigham Exploration, the General Partner and the
         manager of each other Guarantor setting forth (i) resolutions of its
         board of directors with respect to its authorization to execute and
         deliver the Loan Documents to which it is a party and to enter into
         the transactions contemplated in those documents, (ii) the officers
         (y) who are authorized to sign the Loan Documents to which it is a
         party and (z) who will, until replaced by another officer or officers
         duly authorized for that purpose, act as its representative for the
         purposes of signing documents and giving notices and other
         communications in connection with this Agreement and the transactions
         contemplated hereby, (iii) specimen signatures of its authorized
         officers, and (iv) its articles or certificate of incorporation and
         bylaws or operating agreement, certified as being true and complete.
         The Agent and the Lenders may conclusively rely on such certificate
         until the Agent receives notice in writing from the Borrower to the
         contrary.

                 (b)      Certificates of the appropriate state agencies with
         respect to the existence, qualification and good standing of the
         Borrower and the Guarantors.

                 (c)      A compliance certificate which shall be substantially
         in the form of Exhibit C-1, duly and properly executed by a
         Responsible Officer and dated as of the Closing Date.

                 (d)      The Notes, duly completed and executed.

                 (e)      The Loan Documents described on Exhibit D (other than
         the Guarantees of Brigham Holdings I, LLC and Brigham Holdings II,
         LLC), duly completed and executed in sufficient number of counterparts
         for recording, if necessary, including the





                                      -36-
<PAGE>   43
         Assignment of Notes and Liens and all corresponding assignments of the
         financing statements perfecting the security interests of the Prior
         Lender.

                 (f)      An opinion of Thompson & Knight, P.C., special
         counsel to the Borrower and the Guarantors.

                 (g)      A certificate of insurance coverage of the Borrower
         evidencing that the Borrower is carrying insurance in accordance with
         Section 7.19 hereof.

                 (h)      Title information as the Agent may require from
         attorneys satisfactory to the Agent setting forth the status of title
         to at least 85% of the value of the Oil and Gas Properties included in
         the Initial Reserve Report.

                 (i)      The Agent shall be reasonably satisfied with the
         environmental condition of the Mortgaged Properties.

                 (j)      The Agent shall have been furnished with appropriate
         UCC search certificates reflecting no prior liens or security
         interests.

                 (k)      The Agent shall have received an assignment of the
         Prior Note and all Liens securing same in recordable form.

                 (l)      Such other documents as the Agent or any Lender or
         special counsel to the Agent may reasonably request.

                 Section 6.02  Initial, Subsequent Loans and Letters of Credit.
The obligation of the Lenders to purchase the Prior Note and make Loans to the
Borrower upon the occasion of each borrowing hereunder and to issue, renew,
extend or reissue Letters of Credit for the account of the Borrower (including
the Initial Funding) is subject to the further conditions precedent that, as of
the date of such Loans and after giving effect thereto:

         (a) no Default shall have occurred and be continuing;

         (b) no Material Adverse Effect shall have occurred and be continuing; 
and

         (c) the representations and warranties made by the Borrower in Article
VII and in the Loan Documents or by any Guarantor in any other Loan Document
shall be true in all material respects on and as of the date of the making of
such Loans or issuance, renewal, extension or reissuance of a Letter of Credit
with the same force and effect as if made on and as of such date and following
such new borrowing, except to the extent such representations and warranties
are expressly limited to an earlier date or the Majority Lenders may expressly
consent in writing to the contrary.

         Each request for a borrowing or issuance, renewal, extension or
reissuance of a Letter of Credit by the Borrower hereunder shall constitute a
certification by the Borrower to the effect





                                      -37-
<PAGE>   44
set forth in Section 6.02(c) (both as of the date of such notice and, unless
the Borrower otherwise notifies the Agent prior to the date of and immediately
following such borrowing or issuance, renewal, extension or reissuance of a
Letter of Credit as of the date thereof).

                 Section 6.03  Conditions Precedent for the Benefit of Lenders.
All conditions precedent to the obligations of the Lenders to make any Loan are
imposed hereby solely for the benefit of the Lenders, and no other Person may
require satisfaction of any such condition precedent or be entitled to assume
that the Lenders will refuse to make any Loan in the absence of strict
compliance with such conditions precedent.

                 Section 6.04  No Waiver.  No waiver of any condition precedent
shall preclude the Agent or the Lenders from requiring such condition to be met
prior to making any subsequent Loan or preclude the Lenders from thereafter
declaring that a subsequent failure of the Borrower to satisfy such condition
precedent constitutes a Default.


                                  ARTICLE VII

                         REPRESENTATIONS AND WARRANTIES

         The Borrower represents and warrants to the Agent and the Lenders that
(each representation and warranty herein is given as of the Closing Date and
shall be deemed repeated and reaffirmed on the dates of each borrowing and
issuance, renewal, extension or reissuance of a Letter of Credit as provided in
Section 6.02):

                 Section 7.01  Corporate Existence.  The Borrower:  (i) is a
limited partnership duly organized, legally existing and in good standing under
the laws of the jurisdiction of its formation; (ii) has all requisite power,
and has all material governmental licenses, authorizations, consents and
approvals necessary to own its assets and carry on its business as now being or
as proposed to be conducted; and (iii) is qualified to do business in all
jurisdictions in which the nature of the business conducted by it makes such
qualification necessary and where failure so to qualify would have a Material
Adverse Effect.

                 Section 7.02  Financial Condition.  The audited consolidated
balance sheet of the Brigham Exploration and its Consolidated Subsidiaries as
at December 31, 1996 and the related consolidated statement of income,
stockholders' equity and cash flow of Brigham Exploration and its Consolidated
Subsidiaries for the fiscal year ended on said date, with the opinion thereon
of Price Waterhouse heretofore furnished to each of the Lenders and the
unaudited consolidated balance sheet of Brigham Exploration and  its
Consolidated Subsidiaries as at September 30, 1997, and their related
consolidated statements of income, stockholders' equity and cash flow of
Brigham Exploration and its Consolidated Subsidiaries for the nine-month period
ended on such date heretofore furnished to the Agent, are complete and correct
and fairly present the consolidated financial condition of Brigham Exploration
and its Consolidated Subsidiaries as at said dates and the results of its
operations for the fiscal year and the nine-month period on said





                                      -38-
<PAGE>   45
dates, all in accordance with GAAP, as applied on a consistent basis (subject,
in the case of the interim financial statements, to normal year-end
adjustments).  Neither Brigham Exploration nor any Consolidated Subsidiary has
on the Closing Date any material Debt, Trade Payables, contingent liabilities,
liabilities for taxes, unusual forward or long- term commitments or unrealized
or anticipated losses from any unfavorable commitments, except as referred to
or reflected or provided for in the Financial Statements or in Schedule 7.02.
Since December 31, 1996, there has been no change or event having a Material
Adverse Effect.  Since the date of the Financial Statements, neither the
business nor the Properties of Brigham Exploration Consolidated Subsidiaries,
taken as a whole, have been materially and adversely affected as a result of
any fire, explosion, earthquake, flood, drought, windstorm, accident, strike or
other labor disturbance, embargo, requisition or taking of Property or
cancellation of contracts, permits or concessions by any Governmental
Authority, riot, activities of armed forces or acts of God or of any public
enemy.

                 Section 7.03  Litigation.  Except as disclosed to the Lenders
in Schedule 7.03 hereto, at the Closing Date there is no litigation, legal,
administrative or arbitral proceeding, investigation or other action of any
nature pending or, to the knowledge of the Borrower threatened against or
affecting the Borrower or any Subsidiary which both (a) involves the
possibility of any judgment or liability against the Borrower or any Subsidiary
not fully covered by insurance (except for normal deductibles), and (b) would
be more likely than not to have a Material Adverse Effect.

                 Section 7.04  No Breach.  Neither the execution and delivery
of the Loan Documents, nor compliance with the terms and provisions hereof will
conflict with or result in a breach of, or require any consent which has not
been obtained as of the Closing Date under, the Partnership Agreement, the
respective charter or by-laws of any Subsidiary or any Governmental Requirement
or any material agreement or instrument to which the Borrower or any Subsidiary
is a party or by which it is bound or to which it or its Properties are
subject, or constitute a default under any such agreement or instrument, or
result in the creation or imposition of any Lien upon any of the material
revenues or assets of the Borrower or any Subsidiary pursuant to the terms of
any such agreement or instrument other than the Liens created by the Loan
Documents.

                 Section 7.05  Authority.  The Borrower and each Subsidiary has
all necessary power and authority to execute, deliver and perform its
obligations under the Loan Documents to which it is a party; and the execution,
delivery and performance by the Borrower and each Subsidiary of the Loan
Documents to which it is a party, have been duly authorized by all necessary
action on its part; and the Loan Documents constitute the legal, valid and
binding obligations of the Borrower and each Subsidiary, enforceable in
accordance with their terms, except as such enforceability may be limited by
bankruptcy, insolvency, fraudulent transfer and similar laws affecting
creditors' rights generally or by general principles of equity.

                 Section 7.06  Approvals.  No authorizations, approvals or
consents of, and no filings or registrations with, any Governmental Authority
are necessary for the execution,





                                      -39-
<PAGE>   46
delivery or performance by the Borrower or any Subsidiary of the Loan Documents
or for the validity or enforceability thereof.

                 Section 7.07  Use of Loans.  The proceeds of the Loans shall
be used to refinance the outstanding indebtedness under the Prior Credit
Agreement and for general corporate purposes.  In no event shall the proceeds
of the Loans be used to finance in whole or in part any hostile acquisition.
The Borrower is not engaged principally, or as one of its important activities,
in the business of extending credit for the purpose, whether immediate,
incidental or ultimate, of buying or carrying margin stock (within the meaning
of Regulation G, U or X of the Board of Governors of the Federal Reserve
System) and no part of the proceeds of any Loan hereunder will be used to buy
or carry any margin stock.

                 Section 7.08  ERISA.

                 (a)      The Borrower and each ERISA Affiliate have complied
         in all material respects with ERISA and, where applicable, the Code
         regarding each Plan.

                 (b)      Each Plan is, and has been, maintained in substantial
         compliance with ERISA and, where applicable, the Code.

                 (c)      No act, omission or transaction has occurred which
         could result in imposition on the Borrower or any ERISA Affiliate
         (whether directly or indirectly) of an amount of $100,000 or more as
         (i) either a civil penalty assessed pursuant to section 502(c), (i) or
         (l) of ERISA or a tax imposed pursuant to Chapter 43 of Subtitle D of
         the Code or (ii) breach of fiduciary duty liability damages under
         section 409 of ERISA.

                 (d)      No Plan (other than a defined contribution plan) or
         any trust created under any such Plan has been terminated since
         September 2, 1974.  No liability to the PBGC in excess of $100,000
         (other than for the payment of current premiums which are not past
         due) by the Borrower or any ERISA Affiliate has been or is expected by
         the Borrower or any ERISA Affiliate to be incurred with respect to any
         Plan.  No ERISA Event with respect to any Plan has occurred which
         could reasonably expected to result in liabilities of $100,000 or
         more.

                 (e)      Full payment when due has been made of all amounts
         which the Borrower or any ERISA Affiliate is required under the terms
         of each Plan or applicable law to have paid as contributions to such
         Plan, and no accumulated funding deficiency in an amount of $100,000
         or more (as defined in section 302 of ERISA and section 412 of the
         Code), whether or not waived, exists with respect to any Plan.

                 (f)      The actuarial present value of the benefit
         liabilities under each Plan which is subject to Title IV of ERISA does
         not, as of the end of the Borrower's most recently ended fiscal year,
         exceed the current value of the assets (computed on a plan termination
         basis in accordance with Title IV of ERISA) of such Plan allocable to
         such benefit liabilities





                                      -40-
<PAGE>   47
         by $100,000 or more.  The term "actuarial present value of the benefit
         liabilities" shall have the meaning specified in section 4041 of
         ERISA.

                 (g)      None of the Borrower or any ERISA Affiliate sponsors,
         maintains, or contributes to an employee welfare benefit plan, as
         defined in section 3(1) of ERISA, including, without limitation, any
         such plan maintained to provide benefits to former employees of such
         entities, that may not be terminated by the Borrower or any ERISA
         Affiliate in its sole discretion at any time without any material
         liability.

                 (h)      None of the Borrower or any ERISA Affiliate sponsors,
         maintains or contributes to, or has at any time in the preceding six
         calendar years, sponsored, maintained or contributed to, any
         Multiemployer Plan.

                 (i)      None of the Borrower or any ERISA Affiliate is
         required to provide security under section 401(a)(29) of the Code due
         to a Plan amendment that results in an increase in current liability
         for the Plan.

                 Section 7.09  Taxes.  Except as set out in Schedule 7.09, the
Borrower has filed all United States Federal income tax returns and all other
tax returns which are required to be filed by it and has paid all material
taxes due pursuant to such returns or pursuant to any assessment received by
the Borrower, except for any taxes which are being contested in good faith and
by proper proceedings and against which adequate reserves are being maintained.
The charges, accruals and reserves on the books of the Borrower in respect of
taxes and other governmental charges are, in the opinion of the Borrower,
adequate.  No tax lien has been filed and, to the knowledge of the Borrower, no
claim is being asserted with respect to any such tax, fee or other charge,
except for any taxes, fees or other charges which are being contested in good
faith and by proper proceedings and against which adequate reserves are being
maintained.

                 Section 7.10  Titles, etc.

                 (a)      Subject to the matters set out in Schedule 7.10, each
         of the Borrower and the Subsidiaries has good and defensible title to
         (i) the Oil and Gas Properties that are both evaluated (A) in the most
         recently delivered Reserve Report and (B) described in Part One of
         Exhibit A to the Mortgage or in Exhibit A to a Prior Mortgage, free
         and clear of all Liens except Liens permitted by Section 9.02, and
         (ii) to the best of Borrower's knowledge, the balance of Borrower's
         material (individually or in the aggregate) Oil and Gas Properties
         (and/or those of the Subsidiaries) that are described in the Mortgage
         or that are otherwise evaluated in the most recently delivered Reserve
         Report, free and clear (to the best of Borrower's knowledge) of all
         Liens except Liens permitted by Section 9.02.  Except for immaterial
         divergences, after giving full effect to the Excepted Liens and the
         matters set forth in Schedule 7.10, the Borrower owns the net
         interests in production attributable to the Hydrocarbon Interests that
         are both (A) evaluated in the most recently delivered Reserve Report
         and (b) reflected in the Mortgage or in Exhibit A to a Prior Mortgage,
         and the ownership of such Hydrocarbon Interests shall not in any





                                      -41-
<PAGE>   48
         material respect obligate the Borrower to bear the costs and expenses
         relating to the maintenance, development and operations of each such
         Hydrocarbon Interest in an amount in excess of the working interest of
         such Hydrocarbon Interest set forth in the Mortgage or in Exhibit A to
         a Prior Mortgage (without a corresponding increase in net revenue
         interest).  The Borrower does not believe, based upon information in
         its possession, that its most recently delivered Reserve Report
         materially overstates its oil and gas reserves, bearing in mind that
         reserves are evaluated based upon estimates and assumptions with
         respect to which reasonable minds of competent reserve engineers may
         differ.

                 (b)      All leases and agreements necessary for the conduct
         of the business of the Borrower and the Subsidiaries are valid and
         subsisting, in full force and effect and there exists no default or
         event or circumstance which with the giving of notice or the passage
         of time or both would give rise to a default under any such lease or
         leases, which would affect in any material respect the conduct of the
         business of the Borrower and the Subsidiaries.

                 (c)      The Properties presently owned, leased or licensed by
         the Borrower and the Subsidiaries, including, without limitation, all
         easements and rights of way, include all Properties necessary to
         permit the Borrower and the Subsidiaries to conduct their business in
         all material respects in the same manner as its business has been
         conducted prior to the Closing Date.

                 (d)      All of the Properties of the Borrower and the
         Subsidiaries which are reasonably necessary for the operation of their
         business are in good working condition in all material respects and
         are maintained in accordance with prudent business standards.

                 Section 7.11  No Material Misstatements.  Taken as a whole,
the written information, statements, exhibits, certificates, documents and
reports furnished to the Agent and the Lenders (or any of them) by the Borrower
or any Guarantor in connection with the negotiation of this Agreement do not
contain any material misstatement of fact or omit to state a material fact or
any fact necessary to make the statements contained therein not materially
misleading in the light of the circumstances in which made and with respect to
the Borrower or any Guarantor.  As of the Closing Date, there is no fact
peculiar to the Borrower or Guarantor which has a Material Adverse Effect or in
the future is reasonably likely to have (so far as the Borrower can now
foresee) a Material Adverse Effect and which has not been set forth in this
Agreement or the other documents, certificates and statements furnished to the
Agent by or on behalf of the Borrower or any Guarantor prior to, or on, the
Closing Date in connection with the transactions contemplated hereby.

                 Section 7.12  Investment Company Act.  Neither the Borrower
nor any  Subsidiary is an "investment company" or a company "controlled" by an
"investment company," within the meaning of the Investment Company Act of 1940,
as amended.





                                      -42-
<PAGE>   49
                 Section 7.13  Public Utility Holding Company Act.  Neither the
Borrower nor any Subsidiary is a "holding company," or a "subsidiary company"
of a "holding company," or an "affiliate" of a "holding company" or of a
"subsidiary company" of a "holding company," or a "public utility" within the
meaning of the Public Utility Holding Company Act of 1935, as amended.

                 Section 7.14  Subsidiaries.  Except as set forth on Schedule
7.14 or as allowed by Section 9.16, the Borrower has no Subsidiaries.

                 Section 7.15  Location of Business and Offices.  As of the
Closing Date, the Borrower's principal place of business and chief executive
offices are located at the address stated on the signature page of this
Agreement.  The principal place of business and chief executive office of each
Subsidiary are located at the addresses stated on Schedule 7.14.

                 Section 7.16  Defaults.  The Borrower is not in default nor
has any event or circumstance occurred which, but for the expiration of any
applicable grace period or the giving of notice, or both, would constitute a
default under any material agreement or instrument to which the Borrower is a
party or by which the Borrower is bound which default would have a Material
Adverse Effect.  No Default hereunder has occurred and is continuing.

                 Section 7.17  Environmental Matters.  Except as provided in
Schedule 7.17 or for matters which are more likely than not to not to have a
Material Adverse Effect (or with respect to (c), (d) and (e) below, where the
failure to take such actions is more likely than not to not have a Material
Adverse Effect):

                 (a)      Neither any Property of Brigham Exploration or any of
         its Subsidiaries nor the operations conducted thereon violate any
         order or requirement of any court or Governmental Authority or any
         Environmental Laws;

                 (b)      Without limitation of clause (a) above, no Property
         of Brigham Exploration or any of its Subsidiaries nor the operations
         currently conducted thereon or, to the best knowledge of the Borrower,
         by any prior owner or operator of such Property or operation, are in
         violation of or subject to any existing, pending or threatened action,
         suit, investigation, inquiry or proceeding by or before any court or
         Governmental Authority or to any remedial obligations under
         Environmental Laws;

                 (c)      All notices, permits, licenses or similar
         authorizations, if any, required to be obtained or filed by the
         Borrower or any of its Subsidiaries in connection with the operation
         or use of any and all Property of Brigham Exploration and each of its
         Subsidiaries, including without limitation present, or to the best of
         Borrower's knowledge, past treatment, storage, disposal or release of
         a hazardous substance or solid waste into the environment, have been
         duly obtained or filed, and Brigham Exploration and each Subsidiary
         thereof are in compliance with the terms and conditions of all such
         notices, permits, licenses and similar authorizations;





                                      -43-
<PAGE>   50
                 (d)      All hazardous substances, solid waste, and oil and
         gas exploration and production wastes, if any, generated at any and
         all Property of Brigham Exploration and each of its Subsidiaries have
         in the past, during Borrower's tenure of ownership and to the best of
         Borrower's knowledge, prior thereto, been transported, treated and
         disposed of in accordance with Environmental Laws and so as not to
         pose an imminent and substantial endangerment to public health or
         welfare or the environment, and, to the best knowledge of the
         Borrower, all such transport carriers and treatment and disposal
         facilities have been and are operating in compliance with
         Environmental Laws and so as not to pose an imminent and substantial
         endangerment to public health or welfare or the environment, and are
         not the subject of any existing, pending or threatened action,
         investigation or inquiry by any Governmental Authority in connection
         with any Environmental Laws;

                 (e)      The Borrower has taken all steps reasonably necessary
         to determine and has determined that no hazardous substances, solid
         waste, or oil and gas exploration and production wastes, have been
         disposed of or otherwise released and there has been no threatened
         release of any hazardous substances on or to any Property of Brigham
         Exploration or any of its Subsidiaries except in compliance with
         Environmental Laws and so as not to pose an imminent and substantial
         endangerment to public health or welfare or the environment;

                 (f)      To the extent applicable, all Property of Brigham
         Exploration and each of its Subsidiaries currently satisfies all
         design, operation, and equipment requirements imposed by the OPA or
         scheduled as of the Closing Date to be imposed by OPA during the term
         of this Agreement, and the Borrower does not have any reason to
         believe that such Property, to the extent subject to OPA, will not be
         able to maintain compliance with the OPA requirements during the term
         of this Agreement; and

                 (g)      Neither Brigham Exploration nor any of its
         Subsidiaries has any known contingent liability in connection with any
         release or threatened release of any oil, hazardous substance or solid
         waste into the environment.

                 Section 7.18  Compliance with the Law.  Neither the Borrower
nor any Subsidiary has violated any Governmental Requirement or failed to
obtain any license, permit, franchise or other governmental authorization
necessary for the ownership of any of its Properties or the conduct of its
business, which violation or failure would have (in the event such violation or
failure were asserted by any Person through appropriate action) a Material
Adverse Effect.  Except for such acts or failures to act as would not have a
Material Adverse Effect, the Oil and Gas Properties (and properties unitized
therewith) have been maintained, operated and developed in a good and
workmanlike manner and in conformity with all applicable laws and all rules,
regulations and orders of all duly constituted authorities having jurisdiction
and in conformity with the provisions of all leases, subleases or other
contracts comprising a part of the Hydrocarbon Interests and other contracts
and agreements forming a part of the Oil and Gas Properties; specifically in
this connection, but subject to the Material Adverse Effect





                                      -44-
<PAGE>   51
qualification set forth above, (i) after the Closing Date, no Oil and Gas
Property is subject to having allowable production reduced below the full and
regular allowable (including the maximum permissible tolerance) because of any
overproduction (whether or not the same was permissible at the time) prior to
the Closing Date and (ii) none of the wells comprising a part of the Oil and
Gas Properties (or properties unitized therewith) are deviated from the
vertical more than the maximum permitted by applicable laws, regulations, rules
and orders, and such wells are, in fact, bottomed under and are producing from,
and the well bores are wholly within, the Oil and Gas Properties (or in the
case of wells located on properties unitized therewith, such unitized
properties).

                 Section 7.19  Insurance.  Schedule 7.19 attached hereto
contains an accurate and complete description of all material policies of fire,
liability, workmen's compensation and other forms of insurance owned or held by
the Borrower and each Subsidiary as of the Closing Date.  Schedule 7.19 shall
be updated by the Borrower as appropriate from time to time and the
representations in this Section 7.19 shall apply to such updated Schedules.
All such policies are in full force and effect, all premiums with respect
thereto covering all periods up to and including the Closing Date have been
paid, and no notice of cancellation or termination has been received with
respect to any such policy.  Such policies are sufficient for compliance with
all requirements of law and of all agreements to which the Borrower or any
Subsidiary is a party; are valid, outstanding and enforceable policies; provide
adequate insurance coverage in at least such amounts and against at least such
risks (but including in any event public liability) as are usually insured
against in the same general area by companies engaged in the same or a similar
business for the assets and operations of the Borrower and each Subsidiary;
will remain in full force and effect through the respective dates set forth in
Schedule 7.19 without the payment of additional premiums; and will not in any
way be affected by, or terminate or lapse by reason of, the transactions
contemplated by this Agreement.  Schedule 7.19 identifies all material risks,
if any, which the General Partner of the Borrower, the Subsidiaries and their
respective Board of Directors or officers have designated as being self
insured.  Neither the Borrower nor any Subsidiary has been refused any
insurance with respect to its assets or operations, nor has its coverage been
limited below usual and customary policy limits, by an insurance carrier to
which it has applied for any such insurance or with which it has carried
insurance during the last three years.

                 Section 7.20  Hedging Agreements.  Schedule 7.20 sets forth,
as of the Closing Date, a true and complete list of all Hedging Agreements
(including commodity price swap agreements, forward agreements or contracts of
sale which provide for prepayment for deferred shipment or delivery of oil, gas
or other commodities) of the Borrower and each Subsidiary, the material terms
thereof (including the type, term, effective date, termination date and
notional amounts or volumes), the net mark to market value thereof, all credit
support agreements relating thereto (including any margin required or
supplied), and the counterparty to each such agreement.

                 Section 7.21  Restriction on Liens.  Neither the Borrower nor
any Subsidiary is  a party to any agreement or arrangement (other than the Loan
Documents), or subject to any





                                      -45-
<PAGE>   52
order, judgment, writ or decree, which either restricts or purports to restrict
its ability to grant Liens to other Persons on or in respect of their
respective assets or Properties.

                 Section 7.22  Material Agreements. Set forth on Schedule 7.22
hereto is a complete and correct list of all material agreements, leases,
indentures, purchase agreements, obligations in respect of letters of credit,
guarantees, joint venture agreements, and other instruments in effect or to be
in effect as of the Closing Date (other than Hedging Agreements) providing for,
evidencing, securing or otherwise relating to any material Debt of the Borrower
or any Subsidiary, and all obligations of the Borrower or any Subsidiary to
issuers of surety or appeal bonds (excluding operator's bonds, plugging and
abandonment bonds, and similar surety obligations obtained in the ordinary
course of business) issued for account of the Borrower or any such  Subsidiary,
and such list correctly sets forth the names of the debtor or lessee and
creditor or lessor with respect to the Debt or lease obligations outstanding or
to be outstanding and the property subject to any Lien securing such Debt or
lease obligation.

                 Section 7.23  Gas Imbalances.  As of the Closing Date, except
as set forth in the most recent Reserve Report furnished to Agent or on
Schedule 7.23 or on the most recent certificate delivered pursuant to Section
8.07(c), on a net basis there are no gas imbalances, take or pay or other
prepayments with respect to the Borrower's or any Subsidiary's Hydrocarbon
Interests which would require the Borrower or such Subsidiary to deliver five
percent (5%) or more of the monthly production from the Borrower's and its
Subsidiaries' Hydrocarbons produced on a monthly basis from the Hydrocarbon
Interests, at some future time without then or thereafter receiving full
payment therefor.

                 Section 7.24  Partnership Agreement.  The Partnership
Agreement has not been terminated, is in full force and effect as of the date
hereof and no default has occurred and is in continuance thereunder which would
have a Material Adverse Effect.

                 Section 7.25  Prior Note and Related Documents.

         (a)     The aggregate principal balance outstanding on the Prior Note
as of the Closing Date plus all accrued interest and other amounts owing on the
Prior Note as of the Closing Date is $35,106,624.22.

         (b)     The Borrower has not assigned its rights or obligations under
the Prior Note or the Prior Credit Agreement.





                                      -46-
<PAGE>   53
                                  ARTICLE VIII

                             AFFIRMATIVE COVENANTS

         The Borrower covenants and agrees that, so long as any of the
Commitments are in effect and until payment in full of all Indebtedness
hereunder, all interest thereon and all other amounts payable by the Borrower
hereunder:

                 Section 8.01  Financial Statements.  The Borrower shall
deliver, or shall cause to be delivered, to the Agent with sufficient copies of
each for the Lenders:

                 (a)      Annual Financial Statements.  As soon as available
         and in any event within 90 days after the end of each fiscal year of
         Brigham Exploration, the audited consolidated statements of income,
         stockholders' equity, changes in financial position and cash flow of
         Brigham Exploration and its Consolidated Subsidiaries for such fiscal
         year, and the related consolidated and unaudited consolidating balance
         sheets of Brigham Exploration and its Consolidated Subsidiaries as at
         the end of such fiscal year, and setting forth in each case in
         comparative form the corresponding figures for the preceding fiscal
         year, and accompanied by the related opinion of independent public
         accountants of recognized national standing acceptable to the Agent
         which opinion shall state that said financial statements fairly
         present the consolidated financial condition and results of operations
         of Brigham Exploration and its Consolidated Subsidiaries as at the end
         of, and for, such fiscal year and that such financial statements have
         been prepared in accordance with GAAP except for such changes in such
         principles with which the independent public accountants shall have
         concurred and such opinion shall not contain a "going concern" or like
         qualification or exception.

                 (b)      Quarterly Financial Statements.  As soon as available
         and in any event within 60 days after the end of each of the first
         three fiscal quarterly periods of each fiscal year of Brigham
         Exploration, consolidated statements of income, stockholders' equity,
         changes in financial position and cash flow of Brigham Exploration and
         its Consolidated Subsidiaries for such period and for the period from
         the beginning of the respective fiscal year to the end of such period,
         and the related consolidated and consolidating balance sheets as at
         the end of such period, and setting forth in each case in comparative
         form the corresponding figures for the corresponding period in the
         preceding fiscal year, accompanied by the certificate of a Responsible
         Officer, which certificate shall state that said financial statements
         fairly present the consolidated financial condition and results of
         operations of Brigham Exploration and its Consolidated Subsidiaries in
         accordance with GAAP, as at the end of, and for, such period (subject
         to normal year-end audit adjustments).

                 (c)      Notice of Default.  Promptly after the Borrower knows
         that any Default or any Material Adverse Effect has occurred, a notice
         of such Default or Material Adverse Effect, describing the same in
         reasonable detail and the action the Borrower proposes to take with
         respect thereto.

                 (d)      Other Accounting Reports.  Promptly upon receipt
         thereof, a copy of each other report or letter (excluding routine
         correspondence) submitted to the Borrower or





                                      -47-
<PAGE>   54
         Brigham Exploration by independent accountants in connection with any
         annual, interim or special audit made by them of the books of the
         Borrower or Brigham Exploration, and a copy of any response by the
         Borrower or Brigham Exploration to such letter or report.

                 (e)      SEC Filings, Etc..  Promptly upon its becoming
         available, each financial statement, report, notice or proxy statement
         sent by Brigham Exploration to stockholders generally and each regular
         or periodic report and any registration statement, prospectus or
         written communication (other than transmittal letters) in respect
         thereof filed by Brigham Exploration with or received by Brigham
         Exploration in connection therewith from any securities exchange or
         the SEC or any successor agency.

                 (f)      Notices Under Other Loan Agreements.  Promptly after
         the furnishing thereof, copies of any statement, report or notice
         furnished to any Person pursuant to the terms of any indenture, loan
         or credit or other similar agreement, other than this Agreement and
         not otherwise required to be furnished to the Lenders pursuant to any
         other provision of this Section 8.01.

                 (g)      Other Matters.  Subject to any applicable
         restrictions on disclosure, from time to time such other information
         regarding the business, affairs or financial condition of the Borrower
         or Brigham Exploration (including, without limitation, any Plan or
         Multiemployer Plan and any reports or other information required to be
         filed under ERISA) as any Lender or the Agent may reasonably request.

                 (h)      Annual Budgets.  Concurrent with the First Reserve
         Report and each January 1 Reserve Report thereafter, a one-year
         financial projection for Brigham Exploration and its Subsidiaries in
         form acceptable to the Agent, which projection shall include revenues,
         expenses and capital expenditures.

                 (i)      Monthly Operating Statements.  As soon as available
         and in any event within 30 days after the end of each month, monthly
         operating statements of the Borrower including, without limitation,
         production reports and general and administrative cost summaries by
         lease for its Oil and Gas Properties, which reports shall include
         quantities or volume of production, revenue, realized product prices,
         taxes, capital expenditures by category and lease operating costs
         which have accrued to the Borrower's accounts in such period, and such
         other information with respect thereto as the Agent may require.

The Borrower will furnish to the Agent, at the time it furnishes each set of
financial statements pursuant to paragraph (a) or (b) above, a certificate
substantially in the form of Exhibit C-2 hereto executed by a Responsible
Officer (i) certifying as to the matters set forth therein and stating that no
Default has occurred and is continuing (or, if any Default has occurred and is
continuing, describing the same in reasonable detail), (ii) setting forth in
reasonable detail the computations necessary to determine whether Brigham
Exploration is in compliance with Sections 5.2(q), (r) and (s) of its Guaranty
Agreement as of the end of the respective fiscal





                                      -48-
<PAGE>   55
quarter or fiscal year, and (iii) certifying that said financial statements
fairly present the consolidated and consolidating financial condition and
consolidated results of operations in accordance with GAAP, as at the end of,
and for, such period (subject to normal year-end audit adjustments).

                 Section 8.02  Litigation.  The Borrower shall promptly give to
the Agent notice of : (i) all legal or arbitral proceedings, and of all
proceedings before any Governmental Authority involving the Borrower or any
Guarantor, except proceedings which, if adversely determined within any
reasonable range of loss, would not have a Material Adverse Effect, and (ii) of
any material litigation or material proceeding against the Borrower or any
Guarantor in which the amount involved is not covered in full by insurance
(subject to normal and customary deductibles), or in which injunctive or
similar relief is sought.  The Borrower will, and will cause each of the
Guarantors to, promptly notify the Agent and each of the Lenders of any claim,
judgment, Lien or other encumbrance affecting any Property of the Borrower or
any Guarantor if the value of the claim, judgment, Lien, or other encumbrance
affecting such Property shall exceed $1,000,000.

                 Section 8.03  Maintenance, Etc.

                 (a)      The Borrower shall and shall cause each Subsidiary
         to: preserve and maintain its corporate existence and all of its
         material rights, privileges and franchises; keep books of record and
         account in which full, true and correct entries will be made of all
         dealings or transactions in relation to its business and activities;
         comply with all Governmental Requirements if failure to comply with
         such requirements will have a Material Adverse Effect; pay and
         discharge all taxes, assessments and governmental charges or levies
         imposed on it or on its income or profits or on any of its Property
         prior to the date on which penalties attach thereto, except for any
         such tax, assessment, charge or levy the payment of which is being
         contested in good faith and by proper proceedings and against which
         adequate reserves are being maintained; upon reasonable notice, permit
         representatives of the Agent or any Lender (accompanied by the Agent),
         during normal business hours, to examine, copy and make extracts from
         its financial books and records, to inspect its Properties, and to
         discuss its business and affairs with its officers, all to the extent
         reasonably requested by such Lender or the Agent (as the case may be);
         and keep, or cause to be kept, insured by financially sound and
         reputable insurers all Property of a character usually insured by
         Persons engaged in the same or similar business similarly situated
         against loss or damage of the kinds and in the amounts customarily
         insured against by such Persons and carry such other insurance as is
         usually carried by such Persons including, without limitation,
         environmental risk insurance to the extent reasonably available.

                 (b)      Contemporaneously with the delivery of the financial
         statements required by Section 8.01(a) to be delivered for each year,
         the Borrower will furnish or cause to be furnished to the Agent and
         the Lenders a certificate of insurance coverage from the





                                      -49-
<PAGE>   56
         insurer in form and substance satisfactory to the Agent and, if
         requested by the Agent, will furnish the Agent and the Lenders copies
         of the applicable policies.

                 (c)      The Borrower will and will cause each Subsidiary to
         operate its  Oil and Gas Properties or cause such Oil and Gas
         Properties to be operated in a good and workmanlike manner in
         accordance with the practices of the industry and in compliance in all
         material respects with all applicable contracts and agreements and in
         compliance in all material respects with all Governmental
         Requirements.

                 (d)      The Borrower will and will cause each Subsidiary to,
         at its own expense, do or cause to be done (to the extent it has the
         power to do so) all things reasonably necessary to preserve and keep
         in good repair, working order and efficiency all of its Oil and Gas
         Properties and other material Properties including, without
         limitation, all equipment, machinery and facilities, and from time to
         time will make all the reasonably necessary repairs, renewals and
         replacements so that at all times the state and condition of its Oil
         and Gas Properties and other material Properties will be fully
         preserved and maintained, except to the extent a portion of such
         Properties is not capable of producing Hydrocarbons in economically
         reasonable amounts.  The Borrower will  and will cause each Subsidiary
         to promptly: (i) pay and discharge, or make reasonable and customary
         efforts to cause to be paid and discharged, all delay rentals,
         royalties, expenses and indebtedness accruing under the leases or
         other agreements affecting or pertaining to its Oil and Gas
         Properties, (ii) perform or make reasonable and customary efforts to
         cause to be performed, in accordance with industry standards, the
         obligations required by each and all of the assignments, deeds,
         leases, sub-leases, contracts and agreements affecting its interests
         in its Oil and Gas Properties and other material Properties, (iii)
         will and will cause each Subsidiary to do all other things necessary
         to keep unimpaired, except for Liens described in Section 9.02, its
         rights with respect to its Oil and Gas Properties and other material
         Properties and prevent any forfeiture thereof or a default thereunder,
         except to the extent a portion of such Properties is no longer capable
         of producing Hydrocarbons in economically reasonable amounts.  The
         Borrower will and will cause each Subsidiary to operate its Oil and
         Gas Properties and other material Properties or cause or make
         reasonable and customary efforts to cause such Oil and Gas Properties
         and other material Properties to be operated in a good and workmanlike
         manner in accordance with the practices of the industry and in
         compliance with all applicable contracts and agreements and in
         compliance in all material respects with all Governmental
         Requirements.  The covenants contained in this Section 8.03(d) shall
         not apply to insignificant Properties unless a failure of such
         covenant could have a Material Adverse Effect.

                 Section 8.04  Environmental Matters.

                 (a)  To the extent that a reasonably prudent owner or operator
         would do so under the same or similar circumstances, the Borrower will
         and will cause each Subsidiary to establish and implement such
         procedures as may be reasonably necessary to periodically





                                      -50-
<PAGE>   57
         determine and assure that any failure of the following does not have a
         Material Adverse Effect: (i) all Property of the Borrower and the
         Subsidiaries and the operations conducted thereon and other activities
         of the Borrower and the Subsidiaries are in compliance with and do not
         violate the requirements of any Environmental Laws, (ii) no oil,
         hazardous substances or solid wastes are disposed of or otherwise
         released on or to any Property owned by any such party except in
         compliance with Environmental Laws, (iii) no hazardous substance will
         be released on or to any such Property in a quantity equal to or
         exceeding that quantity which requires reporting pursuant to Section
         103 of CERCLA, and (iv) no oil, oil and gas exploration and production
         wastes or hazardous substance is released on or to any such Property
         so as to pose an imminent and substantial endangerment to public
         health or welfare or the environment.

                 (b)  The Borrower will promptly notify the Agent and the
         Lenders in writing of any threatened action, investigation or inquiry
         by any Governmental Authority of which the Borrower has knowledge in
         connection with any Environmental Laws with respect to the Property of
         the Borrower or any Subsidiary, excluding routine testing, compliance
         and corrective action.

                 Section 8.05  Further Assurances.  The Borrower will and will
cause each Guarantor to cure promptly any defects in the creation and issuance
of the Notes and the execution and delivery of the Loan Documents.  The
Borrower at its expense will and will cause each Guarantor to promptly execute
and deliver to the Agent upon request all such other documents, agreements and
instruments to comply with or accomplish the covenants and agreements of the
Borrower or any Guarantor, as the case may be, in the Loan Documents, or to
further evidence and more fully describe the collateral intended as security
for the Notes, or to correct any omissions in the Loan Documents, or to state
more fully the security obligations set out herein or in any of the Loan
Documents, or to perfect, protect or preserve any Liens created pursuant to any
of the Loan Documents, or to make any recordings, to file any notices or obtain
any consents, all as may be necessary or appropriate in connection therewith.

                 Section 8.06  Performance of Obligations.  The Borrower will
pay the Notes according to the reading, tenor and effect thereof; and the
Borrower will and will cause each Guarantor to do and perform every act and
discharge all of the obligations to be performed and discharged by them under
the Loan Documents, at the time or times and in the manner specified.





                                      -51-
<PAGE>   58
                 Section 8.07  Engineering Reports.

                 (a)      Not less than 30 days prior to the First Borrowing
         Base Determination Date, the Borrower shall furnish to the Agent and
         the Lenders a Reserve Report prepared as of December 1, 1998 or later
         (the "First Reserve Report") and as provided in clause 8.07(b) below.

                 (b)      On January 31, 1999 and not less than 30 days prior
         to each Scheduled Redetermination Date thereafter, commencing with the
         Scheduled Redetermination Date to occur on September 30, 1999, the
         Borrower shall furnish to the Agent and the Lenders a Reserve Report.
         The Reserve Report furnished for the September 30 Scheduled
         Redetermination Date shall be prepared as of the preceding July 1 and
         the Reserve Report furnished for the March Scheduled Redetermination
         Date (as well as the Reserve Report furnished on January 31, 1999)
         shall be prepared as of the preceding January 1.  The Reserve Report
         furnished on January 31, 1999 and the January 1 Reserve Report of each
         year beginning January 1, 2000 shall be prepared by certified
         independent petroleum engineers or other independent petroleum
         consultant(s) acceptable to the Agent and the First Reserve Report and
         the July 1 Reserve Report of each year shall be prepared by or under
         the supervision of the chief engineer or Vice President of Operations
         of the Borrower who shall certify such Reserve Report to have been
         prepared in accordance with the procedures used in the immediately
         preceding First Reserve Report or January 1 Reserve Report, as
         appropriate.  At Borrower's option, the July 1 Reserve Report of each
         year may instead consist of a report from the independent petroleum
         engineers referred to above on any new wells and a roll- forward by
         Borrower on any wells previously reported on.

                 (c)      In the event of an unscheduled redetermination, the
         Borrower shall furnish to the Agent and the Lenders a Reserve Report
         prepared by or under the supervision of the chief engineer of the
         Borrower who shall certify such Reserve Report to be true and accurate
         and to have been prepared in accordance with the procedures used in
         the immediately preceding Reserve Report.  For any unscheduled
         redetermination requested by the Lenders or the Borrower  pursuant to
         Section 2.08(d), the Borrower shall provide such Reserve Report with
         an "as of" date as required by the Majority Lenders as soon as
         possible, but in any event no later than 30 days following the receipt
         of the request by the Agent on behalf of the Lenders.

                 (d)      With the delivery of each Reserve Report, the
         Borrower shall provide to the Agent and the Lenders:

                 (e)      In addition to the foregoing, on August 30, 1998, the
         Borrower shall furnish to the Agent and the Lenders a Reserve Report
         prepared as of July 1, 1998, by or under the supervision of the chief
         engineer or Vice President of Operations of the Borrower who shall
         certify such Reserve Report to have been prepared in accordance with
         the procedures used in the immediately preceding Initial Reserve
         Report.





                                      -52-
<PAGE>   59
                          (A)     a certificate from a Responsible Officer
                 certifying that, to the best of his knowledge and in all
                 material respects: (i) the most recently delivered Reserve
                 Report does not in the belief of such officer and based upon
                 information in the Borrower's possession, materially overstate
                 the oil and gas reserves of the Borrower and the Subsidiaries
                 as a whole bearing in mind that reserves are evaluated based
                 upon estimates and assumptions with respect to which
                 reasonable minds of competent engineers may differ, (ii)
                 except as set forth in such Reserve Report or on an exhibit to
                 the certificate, on a net basis there are no gas imbalances,
                 take or pay or other prepayments with respect to its Oil and
                 Gas Properties evaluated in such Reserve Report which would
                 violate Section 9.18, (iii) none of its proved Hydrocarbon
                 Interests have been sold since the date of the last Borrowing
                 Base determination except as set forth on an exhibit to the
                 certificate, which certificate shall list all of its proved
                 Hydrocarbon Interests sold and in such detail as reasonably
                 required by the Majority Lenders, (iv) attached to the
                 certificate is a list of its proved Hydrocarbon Interests
                 added to and deleted from the immediately prior Reserve Report
                 and a list showing any change in working interest or net
                 revenue interest in its Hydrocarbon Interests occurring, (v)
                 at the Agent's request, attached to the certificate is a list
                 of all Persons disbursing proceeds to the Borrower from its
                 Oil and Gas Properties and (vi) except as set forth on a
                 schedule attached to the certificate all of proved Hydrocarbon
                 Interests evaluated by such Reserve Report are Mortgaged
                 Property; and

                          (B)     a certificate from a Responsible Officer
                 certifying that, to the best of his knowledge and in all
                 material respects (i) the representations of the Borrower in
                 Section 7.10 are true and correct and apply to the Hydrocarbon
                 Interests evaluated in the Reserve Report that are described
                 in the Mortgage or Exhibit A to the Prior Mortgage and (ii)
                 the Borrower has, with respect to those material Hydrocarbon
                 Interests that are evaluated in the most recently delivered
                 Reserve Report, but that are not covered by a Mortgage or a
                 Prior Mortgage, conducted overall title due diligence that, in
                 all material respects, equals or exceeds industry standards
                 given the applicable facts and circumstances.

                 Section 8.08  Intentionally Omitted.

                 Section 8.09  Additional Collateral.

                 (a)      Should any of the Borrower's or any Subsidiary's Oil
         and Gas Properties which are not Mortgaged Property be identified
         after the Closing Date as containing proved Hydrocarbon reserves or
         should the Borrower or any Subsidiary acquire any additional Oil and
         Gas Properties which are identified as containing proved Hydrocarbon
         reserves, the Borrower will grant or cause such Subsidiary to grant to
         the Agent as security for the Indebtedness a first-priority Lien
         interest (subject only to Excepted Liens and the matters set out on
         Schedule 7.10 hereto) on the Borrower's or the Subsidiary's interest
         in such Oil and Gas Properties not already subject to a Lien of the
         Loan





                                      -53-
<PAGE>   60
         Documents, which Lien will be created and perfected by and in
         accordance with the provisions of deeds of trust, security agreements
         and financing statements, or other Loan Documents, all in form
         substantially the same as the previous Mortgages and in sufficient
         executed (and acknowledged where necessary or appropriate)
         counterparts for recording purposes; provided, however that after
         January 31, 1999, if the Borrower is then in Borrowing Base
         compliance, the Mortgaged Property need only cover 90% of Borrower's
         and its Subsidiaries' proved Hydrocarbon Reserves.

                 (b)      Concurrently with the granting of the Lien or other
         action referred to in Section 8.09(a) above, the Borrower will provide
         to the Agent title information in form and substance satisfactory to
         the Agent in its sole discretion with respect to the Borrower's and
         its Subsidiaries' interests in such Oil and Gas Properties to the
         extent needed to cause the Agent to have received, together with title
         information previously delivered to the Agent, satisfactory title
         information on at least 80% of the value of the proved Hydrocarbon
         Interests evaluated by the most recent Reserve Report.

                 (c)      Also, promptly after the filing of any new Loan
         Document in any state, upon the reasonable request of the Agent, the
         Borrower will provide to the Agent an opinion addressed to the Agent
         for the benefit of the Lenders in form and substance reasonably
         satisfactory to the Agent in its sole discretion from counsel
         acceptable to Agent, stating that such Loan Document is valid, binding
         and enforceable in accordance with its terms and in legally sufficient
         form for such jurisdiction.

                 Section 8.10  ERISA Information and Compliance.  The Borrower
will promptly furnish and will cause any ERISA Affiliate to promptly furnish to
the Agent with sufficient copies to the Lenders (i) if requested by the Agent
promptly after the filing thereof with the United States Secretary of Labor,
the Internal Revenue Service or the PBGC, copies of each annual and other
report with respect to each Plan or any trust created thereunder, (ii)
immediately upon becoming aware of the occurrence of any ERISA Event or of any
"prohibited transaction," as described in section 406 of ERISA or in section
4975 of the Code, in connection with any Plan or any trust created thereunder,
a written notice signed by a Responsible Officer specifying the nature thereof,
what action the Borrower or the ERISA Affiliate is taking or proposes to take
with respect thereto, and, when known, any action taken or proposed by the
Internal Revenue Service, the Department of Labor or the PBGC with respect
thereto, and (iii) immediately upon receipt thereof, copies of any notice of
the PBGC's intention to terminate or to have a trustee appointed to administer
any Plan.  With respect to each Plan (other than a Multiemployer Plan), the
Borrower will, and will cause each ERISA Affiliate to, (i) satisfy in full and
in a timely manner, without incurring any late payment or underpayment charge
or penalty and without giving rise to any lien, all of the contribution and
funding requirements of section 412 of the Code (determined without regard to
subsections (d), (e), (f) and (k) thereof) and of section 302 of ERISA
(determined without regard to sections 303, 304 and 306 of ERISA), and (ii)
pay, or cause to be paid, to the PBGC in a timely manner, without incurring any
late payment or underpayment charge or penalty, all premiums required pursuant
to sections 4006 and 4007 of ERISA.





                                      -54-
<PAGE>   61
                 Section 8.11  Subsidiary Security.  Should the Borrower create
or acquire any  Subsidiary pursuant to Section 9.16 hereof it will promptly
grant to the Agent for the benefit of the Lenders a security interest and
pledge of all the capital stock of such Subsidiary in form and substance
satisfactory to the Agent and the Borrower will cause such Subsidiary to enter
into a guaranty of the Indebtedness in form and substance satisfactory to the
Agent.  The delivery of such security and guaranty shall be accompanied by such
back up corporate authority and opinions of counsel as the Agent may reasonably
request.

                 Section 8.12  Payment of Trade Payables.  The Borrower will
pay and cause all of its Subsidiaries to pay all of their Trade Payables now or
hereafter incurred within 60 days of the invoice or billing date, unless
subject to legal offset or unless being contested in good faith by appropriate
proceedings and reserves adequate under GAAP shall have been established
therefor.

                 Section 8.13  Certain Guaranties.  The Borrower will cause the
Guaranty Agreements of Brigham Holdings I, LLC and Brigham Holdings II, LLC
together with opinions of counsel with respect thereto in form and substance
satisfactory to the Agent  to be delivered on or before 30 days after the
Closing Date.



                                   ARTICLE IX

                               NEGATIVE COVENANTS

         The Borrower covenants and agrees that, so long as any of the
Commitments are in effect and until payment in full of the Indebtedness
hereunder, all interest thereon and all other amounts payable by the Borrower
hereunder, without the prior written consent of the Majority Lenders:

                 Section 9.01  Debt.  Neither the Borrower nor any Subsidiary
will incur, create, assume or suffer to exist any Debt, except:

                 (a)      the Notes or other Indebtedness arising under the
         Loan Documents or any guaranty of or suretyship arrangement for the
         Notes or other Indebtedness arising under the Loan Documents;

                 (b)      Debt of the Borrower existing on the Closing Date
         which is reflected in the Financial Statements or is disclosed in
         Schedule 9.01, and any renewals or extensions (but not increases)
         thereof;

                 (c)      accounts payable for the deferred purchase price of
         Property or services (other than Trade Payables) from time to time
         incurred in the ordinary course of business which, if greater than 60
         days past the invoice or billing date, are being contested in good





                                      -55-
<PAGE>   62
         faith by appropriate proceedings if reserves adequate under GAAP shall
         have been established therefor;

                 (d)      Debt owing to a Guarantor which is subordinated to
         the Indebtedness as provided in such Guarantor's Guaranty Agreement or
         owing to the Borrower.

                 (e)      Debt of the Borrower under capital leases (as
         required to be reported on the financial statements of the Borrower
         pursuant to GAAP) not to exceed $2,000,000;

                 (f)      Debt of the Borrower under Hedging Agreements with a
         Lender or another investment grade counterparty the notional amounts
         on which do not exceed 75% of  Borrower's anticipated oil and/or gas
         production to be produced during the term of such Hedging Agreements
         entered into as a part of its normal business operations as a risk
         management strategy and/or hedge against changes resulting from market
         conditions related to the Borrower's and its Subsidiaries' operations;

                 (g)      Debt associated with bonds or surety obligations
         required by Governmental Requirements in connection with the operation
         of the Oil and Gas Properties; and

                 (h)      Debt of the Borrower not described in Sections
         9.01(a) through (g) which, together with all Debt of Brigham
         Exploration allowed under Section 5.2(a)(5) of Brigham Exploration
         Company's Guaranty Agreement, does not exceed $1,000,000 at any one
         time outstanding.

                 Section 9.02  Liens.  Neither the Borrower nor any Subsidiary
will create, incur, assume or permit to exist any Lien on any of its Properties
(now owned or hereafter acquired), except:

                 (a)      Liens securing the payment of any Indebtedness;

                 (b)      Excepted Liens;

                 (c)      Liens securing leases allowed under Section 9.01(e)
         but only on the Property under lease;

                 (d)      Liens disclosed on Schedule 9.02; and

                 (e)      Any Permitted Encumbrances as described in the Prior
         Mortgages or the Mortgage.

                 Section 9.03  Investments, Loans and Advances.  Neither the
Borrower nor any Subsidiary will make or permit to remain outstanding any loans
or advances to or investments in any Person, except that the foregoing
restriction shall not apply to:





                                      -56-
<PAGE>   63
                 (a)      investments, loans or advances reflected in the
         Financial Statements or which are disclosed to the Lenders in Schedule
         9.03;

                 (b)      accounts receivable arising in the ordinary course of
         business;

                 (c)      for the Borrower only, direct obligations of the
         United States or any agency thereof, or obligations guaranteed by the
         United States or any agency thereof, in each case maturing within one
         year from the date of creation thereof;

                 (d)      for the Borrower only, commercial paper maturing
         within one year from the date of creation thereof rated in the highest
         grade by Standard & Poors Corporation or Moody's Investors Service,
         Inc.;

                 (e)      for the Borrower only, deposits maturing within one
         year from the date of creation thereof with, including certificates of
         deposit issued by, any Lender or any office located in the United
         States, Canada, or England of any other bank or trust company which is
         organized under the laws of the United States, Canada or England or
         any state or province thereof, has capital, surplus and undivided
         profits aggregating at least $100,000,000.00 (as of the date of such
         Lender's or bank or trust company's most recent financial reports) and
         has a short term deposit rating of no lower than A2 or P2, as such
         rating is set forth from time to time, by Standard & Poors Corporation
         or Moody's Investors Service, Inc., respectively;

                 (f)      for the Borrower only, deposits in money market funds
         investing exclusively in investments described in Section 9.03(c),
         9.03(d) or 9.03(e);

                 (g)      investments of the Borrower up to $400,000 in the
         aggregate in Quest Resources L.L.C.;

                 (h)      investments by the Borrower in direct or indirect
         (through a Subsidiary to the extent permitted by Section 9.16 below)
         ownership interests in additional Oil and Gas Properties and gas
         gathering systems gas plants, and similar assets related thereto; and

                 (i)      investments, distributions, loans and advances by a
         Subsidiary to the Borrower; and

                 (j)      investments, distributions, loans and advances by the
         Borrower:

                          (a)     to Brigham Exploration, Brigham Inc., Brigham
                 Holdings I, LLC and/or Brigham Holdings II, LLC to pay Federal
                 or State taxes owing by any of them, payroll and payroll
                 related taxes and other reasonable general and administrative
                 expenses, or consisting of forgiveness of indebtedness, and

                          (b)     to Subsidiaries which are Guarantors.





                                      -57-
<PAGE>   64
                 Section 9.04  Dividends, Distributions and Redemptions.  The
Borrower will not declare or pay any dividend, purchase, redeem or otherwise
acquire for value any of its stock now or hereafter outstanding, return any
capital to its stockholders or make any distribution of its assets to its
partners, except as permitted under Section 9.03(j)(a) above.

                 Section 9.05  Sales and Leasebacks.  Neither the Borrower nor
any Subsidiary will enter into any arrangement, directly or indirectly, with
any Person whereby the Borrower or any Subsidiary shall sell or transfer any of
its Property, whether now owned or hereafter acquired, and whereby the Borrower
or any Subsidiary shall then or thereafter rent or lease as lessee such
Property or any part thereof or other Property which the Borrower or any
Subsidiary intends to use for substantially the same purpose or purposes as the
Property sold or transferred.

                 Section 9.06  Nature of Business.  Neither the Borrower nor
any Subsidiary will allow any material change to be made in the character of
its business as an independent oil and gas exploration and production company.
Among other things, a transfer of a substantial portion of Borrower's seismic
data and Hydrocarbon Interests which do not contain identified proved
Hydrocarbon reserves (other than transfers to participants of any participation
interest earned by them in the ordinary course of Borrower's business and
abandonment of prospects) shall be considered a material change in Borrower's
business.

                 Section 9.07  Limitation on Leases.  Neither the Borrower nor
any Subsidiary will create, incur, assume or suffer to exist any obligation
for the payment of rent or hire of Property of any kind whatsoever (real or
personal including capital leases but excluding leases of Hydrocarbon Interests
and the equipment used thereon), under leases or lease agreements which would
cause the aggregate amount of all payments made by the Borrower and the
Subsidiaries pursuant to all such leases or lease agreements to exceed
$2,000,000 in any period of twelve consecutive calendar months during the life
of such leases.

                 Section 9.08  Mergers, Etc.  The Borrower will not and will
not permit any Subsidiary to merge into or with or consolidate with any other
Person or sell, lease or otherwise dispose of (whether in one transaction or
in a series of transactions) all or substantially all of its Property or assets
to any other Person unless the Borrower, Brigham Exploration or any Guarantor
whose Guaranty Agreement is in full force and effect is the surviving entity
and no Default exists or will be created thereby.

                 Section 9.09  Proceeds of Notes.  The Borrower will not permit
the proceeds of the Notes to be used for any purpose other than those permitted
by Section 7.07.  Neither the Borrower nor any Person acting on behalf of the
Borrower has taken or will take any action which might cause any of the Loan
Documents to violate Regulation G, U or X or any other regulation of the Board
of Governors of the Federal Reserve System or to violate Section 7 of the
Securities Exchange Act of 1934 or any rule or regulation thereunder, in each
case as now in effect or as the same may hereinafter be in effect.

                 Section 9.10  ERISA Compliance.  The Borrower will not at any
time:





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                 (a)      Engage in, or permit any ERISA Affiliate to engage
         in, any transaction in connection with which the Borrower or any ERISA
         Affiliate could be subjected to either a civil penalty assessed
         pursuant to section 502(c), (i) or (l) of ERISA or a tax imposed by
         Chapter 43 of Subtitle D of the Code in excess of $100,000;

                 (b)      Terminate, or permit any ERISA Affiliate to
         terminate, any Plan in a manner, or take any other action with respect
         to any Plan, which could reasonably be expected to result in any
         liability of the Borrower or any ERISA Affiliate to the PBGC in excess
         of $100,000;

                 (c)      Fail to make, or permit any ERISA Affiliate to fail
         to make, full payment when due of all amounts under the provisions of
         any Plan, agreement relating thereto or applicable law, the Borrower
         or any ERISA Affiliate is required to pay as contributions thereto;

                 (d)      Permit to exist, or allow any ERISA Affiliate to
         permit to exist, any accumulated funding deficiency in excess of
         $100,000 within the meaning of Section 302 of ERISA or section 412 of
         the Code, whether or not waived, with respect to any Plan;

                 (e)      Permit, or allow any ERISA Affiliate to permit, the
         actuarial present value of the benefit liabilities under any Plan
         maintained by the Borrower or any ERISA Affiliate which is regulated
         under Title IV of ERISA to exceed the current value of the assets
         (computed on a plan termination basis in accordance with Title IV of
         ERISA) of such Plan allocable to such benefit liabilities by an amount
         in excess of $100,000.  The term "actuarial present value of the
         benefit liabilities" shall have the meaning specified in section 4041
         of ERISA;

                 (f)      Contribute to or assume an obligation to contribute
         to, or permit any ERISA Affiliate to contribute to or assume an
         obligation to contribute to, any Multiemployer Plan;

                 (g)      Acquire, or permit any ERISA Affiliate to acquire, an
         interest in any Person that causes such Person to become an ERISA
         Affiliate with respect to the Borrower or any ERISA Affiliate if such
         Person sponsors, maintains or contributes to, or at any time in the
         six-year period preceding such acquisition has sponsored, maintained,
         or contributed to, (1) any Multiemployer Plan, or (2) any other Plan
         that is subject to Title IV of ERISA under which the actuarial present
         value of the benefit liabilities under such Plan exceeds the current
         value of the assets (computed on a plan termination basis in
         accordance with Title IV of ERISA) of such Plan allocable to such
         benefit liabilities;

                 (h)      Incur, or permit any ERISA Affiliate to incur, a
         liability to or on account of a Plan under sections 515, 4062, 4063,
         4064, 4201 or 4204 of ERISA which the aggregate for all such liability
         exceeds $100,000;





                                      -59-
<PAGE>   66
                 (i)      Contribute to or assume an obligation to contribute
         to, or permit any ERISA Affiliate to contribute to or assume an
         obligation to contribute to, any employee welfare benefit plan, as
         defined in section 3(1) of ERISA, including, without limitation, any
         such plan maintained to provide benefits to former employees of such
         entities, that may not be terminated by such entities in their sole
         discretion at any time without any material liability; or

                 (j)      Amend or permit any ERISA Affiliate to amend, a Plan
         resulting in an increase in current liability such that the Borrower
         or any ERISA Affiliate is required to provide security to such Plan
         under section 401(a)(29) of the Code.

                 Section 9.11  Sale or Discount of Receivables.  Neither the
Borrower nor any Subsidiary will discount or sell (with or without recourse)
any of its notes receivable or accounts receivable.

                 Section 9.12  Capital Expenditures.  Neither the Borrower nor
any Subsidiary will  make any expenditures to acquire non cash flow generating
fixed or capital assets, such as seismic data and unproved Oil and Gas
Properties, if, after giving effect thereto, the aggregate of all such
acquisition expenditures would exceed $21,000,000 from January 1, 1998, until
the date the Initial Borrowing Base has been set.  Costs of drilling and
development activities will not be considered "acquisition expenditures" for
the purposes of this section.

                 Section 9.13  Sale of Oil and Gas Properties.  The Borrower 
will not, and will not permit any Subsidiary to, sell, assign, farm-out, convey
or otherwise transfer any Hydrocarbon Interests except for (i) the sale of
Hydrocarbons in the ordinary course of business; (ii) assignments, farmouts,
and other disposition of Hydrocarbon Interests which do not contain identified
proved Hydrocarbon reserves, provided such assignments, farmouts, and other
dispositions are in the normal course of business (e.g., in bringing in
participants or disposing of unattractive prospects); (iii) the sale or
transfer of equipment that is no longer necessary for the business of the
Borrower or such Subsidiary or is replaced by equipment of at least comparable
value and use and (iv) during any consecutive four fiscal quarters, sales of
Hydrocarbon Interests containing identified proved Hydrocarbon reserves which
shall not exceed $2,500,000 in the aggregate.

                 Section 9.14  Environmental Matters.  Neither the Borrower nor
any Subsidiary will knowingly cause or permit any of its Property to be in
violation of, or knowingly do anything or permit anything to be done which will
subject any such Property to any remedial obligations under any Environmental
Laws, assuming disclosure to the applicable Governmental Authority of all
relevant facts, conditions and circumstances, if any, pertaining to such
Property where such violations or remedial obligations would have a Material
Adverse Effect.

                 Section 9.15  Transactions with Affiliates.  Neither the
Borrower nor any Subsidiary will enter into any transaction, including, without
limitation, any purchase, sale, lease or exchange of Property or the rendering
of any service, with any Affiliate unless such





                                      -60-
<PAGE>   67
transactions are otherwise not in violation of this Agreement, are in the
ordinary course of its business and are upon fair and reasonable terms no less
favorable to it than it would obtain in a comparable arm's length transaction
with a Person not an Affiliate.

                 Section 9.16  Subsidiaries.  The Borrower will not, and will
not permit any Subsidiary to, create any additional Subsidiaries or make any
additional investment in a Subsidiary, unless such Subsidiary is or becomes a
Guarantor and provided further, that all Subsidiaries together at no time shall
own or hold Oil and Gas Properties having proved reserves with a net discounted
present value calculated in the same manner as in the most recent Reserve
Report in excess of 10% of the total net discounted present value of proved
reserves of the Borrower and its Subsidiaries as reflected in said Reserve
Report (plus such Subsidiaries' proved reserves not included in such Reserve
Report).

                 Section 9.17  Negative Pledge Agreements.  The Borrower will
not and will not permit any Subsidiary to create, incur, assume or suffer to
exist any contract, agreement or understanding (other than the Loan Documents)
which in any way prohibits or restricts (i) the granting, conveying, creation
or imposition of any Lien on any of its Property or (ii) any Subsidiary from
paying dividends or making any other distribution to the Borrower or which
requires the consent of or notice to other Persons in connection with any of
the foregoing.

                 Section 9.18  Gas Imbalances, Take-or-Pay or Other
Prepayments.  The Borrower will not allow gas imbalances, take-or-pay or other
prepayments with respect to the Hydrocarbon Interests of the Borrower and its
Subsidiaries which would require the Borrower or its Subsidiaries to deliver
five percent (5%) or more of the Borrower's and its Subsidiaries' Hydrocarbons
produced on a monthly basis from the Hydrocarbon Interests at some future time
without then or thereafter receiving full payment therefor.


                                   ARTICLE X

                          EVENTS OF DEFAULT; REMEDIES

                 Section 10.01  Events of Default.  One or more of the
following events shall constitute an "Event of Default":

                 (a)      the Borrower shall default in the payment or
         prepayment when due of any principal of or interest on any Loan, or
         any reimbursement obligation for a disbursement made under any Letter
         of Credit, or any fees or other amount payable by it hereunder or
         under any other Loan Document and such default, other than a default
         of a payment or prepayment of principal (which shall have no cure
         period), shall continue unremedied for a period of three (3) Business
         Days; or

                 (b)      the Borrower or any Guarantor shall default in the
         payment when due of any principal of or interest on any of its other
         Debt aggregating $1,000,000 or more, or





                                      -61-
<PAGE>   68
         any event specified in any note, agreement, indenture or other
         document evidencing or relating to any such Debt shall occur if the
         effect of such event is to cause, or (with the giving of any notice or
         the lapse of time or both) to permit the holder or holders of such
         Debt (or a trustee or agent on behalf of such holder or holders) to
         cause, such Debt to become due prior to its stated maturity; or

                 (c)      any representation, warranty or certification made or
         deemed made herein or in any other Loan Document by the Borrower or
         any Guarantor, or any certificate furnished by the Borrower or any
         Guarantor to any Lender or the Agent pursuant to the provisions hereof
         or any Loan Document, shall prove to have been false or misleading as
         of the time made or furnished in any material and adverse respect; or

                 (d)      the Borrower shall default in the performance of any
         of its obligations under Article IX or Section 8.01(c) of this
         Agreement; or the Borrower shall default in the performance of any of
         its obligations under any other Article of the Agreement or under or
         any other Loan Document to which it is a party (other than the payment
         of amounts due which shall be governed by Section 10.01(a)) and such
         default shall continue unremedied for a period of thirty (30) days
         after notice thereof to the Borrower by the Agent or the Majority
         Lenders (through the Agent); or

                 (e)      any Guarantor shall default in the performance of its
         obligation to pay the Liabilities (as defined therein) at maturity or,
         with respect to Brigham Exploration, performance of any covenant under
         Section 5.1(i) or Section 5.2 of its Guaranty Agreement; or any
         Guarantor shall default in the performance of any of its other
         obligations under its Guaranty Agreement and such default shall
         continue unremedied for a period of thirty (30) days after notice
         thereof to the Guarantor by the Agent or the Majority of Lenders
         (through the Agent); or

                 (f)      the Borrower shall admit in writing its inability to,
         or be generally unable to, pay its debts as such debts become due; or

                 (g)      the Borrower shall (i) apply for or consent to the
         appointment of, or the taking of possession by, a receiver, custodian,
         trustee or liquidator of itself or of all or a substantial part of its
         property, (ii) make a general assignment for the benefit of its
         creditors, (iii) commence a voluntary case under the Federal
         Bankruptcy Code (as now or hereafter in effect), (iv) file a petition
         seeking to take advantage of any other law relating to bankruptcy,
         insolvency, reorganization, winding-up, liquidation or composition or
         readjustment of debts, (v) fail to controvert in a timely and
         appropriate manner, or acquiesce in writing to, any petition filed
         against it in an involuntary case under the Federal Bankruptcy Code,
         or (vi) take any corporate action for the purpose of effecting any of
         the foregoing; or

                 (h)      a proceeding or case shall be commenced, without the
         application or consent of the Borrower, in any court of competent
         jurisdiction, seeking (i) its liquidation,





                                      -62-
<PAGE>   69
         reorganization, dissolution or winding-up, or the composition or
         readjustment of its debts, (ii) the appointment of a trustee,
         receiver, custodian, liquidator or the like of the Borrower of all or
         any substantial part of its assets, or (iii) similar relief in respect
         of the Borrower under any law relating to bankruptcy, insolvency,
         reorganization, winding-up, or composition or adjustment of debts, and
         such proceeding or case shall continue undismissed, or an order,
         judgment or decree approving or ordering any of the foregoing shall be
         entered and continue unstayed and in effect, for a period of 60 days;
         or an order for relief against the Borrower shall be entered in an
         involuntary case under the Federal Bankruptcy Code; or

                 (i)      a judgment or judgments for the payment of money in
         excess of $1,000,000 in the aggregate shall be rendered by a court
         against the Borrower and the same shall not be discharged (or
         provision shall not be made for such discharge), or a stay of
         execution thereof shall not be procured, within thirty (30) days from
         the date of entry thereof and the Borrower shall not, within said
         period of 30 days, or such longer period during which execution of the
         same shall have been stayed, appeal therefrom and cause the execution
         thereof to be stayed during such appeal; or

                 (j)      the Loan Documents after delivery thereof shall for
         any reason, except to the extent permitted by the terms thereof, cease
         to be in full force and effect and valid, binding and enforceable in
         all material respects in accordance with their terms, or cease in any
         material respect to create a valid and perfected Lien of the priority
         required thereby on any of the collateral purported to be covered
         thereby, except to the extent permitted by the terms of this
         Agreement, or the Borrower or any Guarantor shall so state in writing;
         or

                 (k)      any Letter of Credit becomes the subject matter of
         any order, judgment, injunction or any other such determination which
         has the effect of extending the Lenders' liability under any Letter of
         Credit beyond the Revolving Credit Termination Date; or

                 (l)      any Guarantor discontinues its usual business or
         suffers to exist any material change in its ownership, control or
         management; or

                 (m)      any Guarantor takes, suffers or permits to exist any
         of the events or conditions referred to in paragraphs (f), (g), (h) or
         (i) hereof or if any guaranty agreement related thereto shall for any
         reason cease to be valid and binding on such Guarantor in all material
         respects or if such Guarantor shall so state in writing; or

                 (n)      Brigham Exploration ceases to own (directly or
         indirectly) 100% of the Borrower;

                 (o)      the Borrower ceases to be the primary operating
         entity for Brigham Exploration and its Subsidiaries and the Borrower
         and its Subsidiaries cease to be the only Brigham Exploration entities
         owning Oil and Gas Properties.





                                      -63-
<PAGE>   70
                 Section 10.02    Remedies.

                 (a)      In the case of an Event of Default other than one
         referred to in clauses (f), (g) or (h) of Section 10.01 or in clause
         (m) to the extent it relates to clauses (f), (g) or (h),the Agent,
         upon request of the Majority Lenders, shall, by notice to the
         Borrower, cancel the Commitments and/or declare the principal amount
         then outstanding of, and the accrued interest on, the Loans and all
         other amounts payable by the Borrower hereunder and under the Notes
         (including without limitation the payment of cash collateral to secure
         the LC Exposure as provided in Section 2.10(b) hereof) to be forthwith
         due and payable, whereupon such amounts shall be immediately due and
         payable without presentment, demand, protest, notice of intent to
         accelerate, notice of acceleration or other formalities of any kind,
         all of which are hereby expressly waived by the Borrower.

                 (b)      In the case of the occurrence of an Event of Default
         referred to in clauses (f), (g) or (h) of Section 10.01 or in clause
         (m) to the extent it relates to clauses (f), (g) or (h), the
         Commitments shall be automatically canceled and the principal amount
         then outstanding of, and the accrued interest on, the Loans and all
         other amounts payable by the Borrower hereunder and under the Notes
         (including without limitation the payment of cash collateral to secure
         the LC Exposure as provided in Section 2.10(b) hereof) shall become
         automatically immediately due and payable without presentment, demand,
         protest, notice of intent to accelerate, notice of acceleration or
         other formalities of any kind, all of which are hereby expressly
         waived by the Borrower.

                 (c)      All proceeds received after maturity of the Notes,
         whether by acceleration or otherwise shall be applied first to
         reimbursement of expenses and indemnities provided for in the Loan
         Documents; second to accrued interest on the Notes; third to fees;
         fourth pro rata to principal outstanding on the Notes and other
         Indebtedness; fifth to serve as cash collateral to be held by the
         Agent to secure the LC Exposure; and any excess shall be paid to the
         Borrower or as otherwise required by any Governmental Requirement.

                 Section 10.03    Production and Proceeds.  Notwithstanding
that, by the terms of the various Mortgages and other Loan Documents, the
Borrower and any other mortgagors are and will be assigning to Agent all of the
Hydrocarbons covered thereby and all of the products thereof and proceeds and
revenues attributable thereto and all payments in lieu of such Hydrocarbons (in
this section collectively called the "Production and Proceeds"), so long as no
Default has occurred and is continuing (a) the Borrower and such mortgagors may
continue to receive all such Production and Proceeds, subject, however, to the
Liens created under the Mortgages and other Loan Documents, and (b) upon the
Borrower's request the Agent will confirm to any purchasers of Hydrocarbons,
title examiners, or other Persons that the Borrower and such mortgagors
continue to have the right so to receive such Production and Proceeds until
notification by the Agent of the occurrence of a Default.  During the
continuance of a Default, however, the Agent may exercise its rights and
remedies granted under the Mortgages and the other Loan Documents, including
the rights and remedies granted under the Mortgages and the other Loan
Documents, including the right to obtain possession of all Production and
Proceeds





                                      -64-
<PAGE>   71
then held by the Borrower and such mortgagors and to receive directly from the
purchasers of Hydrocarbons all other Production Proceeds.  In no case shall any
failure by the Agent to collect directly any such Production and Proceeds
constitute in any way a release of any of its rights under the Loan Documents.


                                   ARTICLE XI

                                   THE AGENT

                 Section 11.01  Appointment, Powers and Immunities.  Each
Lender hereby irrevocably appoints and authorizes the Agent to act as its agent
hereunder and  under the other Loan Documents with such powers as are
specifically delegated to the Agent by the terms of this Agreement and the
other Loan Documents, together with such other powers as are reasonably
incidental thereto.  The Agent (which term as used in this sentence and in
Section 11.05 and the first sentence of Section 11.06 shall include reference
to its Affiliates and its and its Affiliates' officers, directors, employees,
attorneys, accountants, experts and agents):  (i) shall have no duties or
responsibilities except those expressly set forth in the Loan Documents, and
shall not by reason of the Loan Documents be a trustee or fiduciary for any
Lender; (ii) makes no representation or warranty to any Lender and shall not be
responsible to the Lenders for any recitals, statements, representations or
warranties contained in this Agreement, or in any certificate or other document
referred to or provided for in, or received by any of them under, this
Agreement, or for the value, validity, effectiveness, genuineness, execution,
effectiveness, legality, enforceability or sufficiency of this Agreement, any
Note or any other document referred to or provided for herein or for any
failure by the Borrower or any other Person (other than the Agent) to perform
any of its obligations hereunder or thereunder or for the existence, value,
perfection or priority of any collateral security or the financial or other
condition of the Borrower, the Subsidiaries or any other obligor or guarantor;
(iii) except pursuant to Section 11.07 shall not be required to initiate or
conduct any litigation or collection proceedings hereunder; and (iv) SHALL NOT
BE RESPONSIBLE FOR ANY ACTION TAKEN OR OMITTED TO BE TAKEN BY IT HEREUNDER OR
UNDER ANY OTHER DOCUMENT OR INSTRUMENT REFERRED TO OR PROVIDED FOR HEREIN OR IN
CONNECTION HEREWITH INCLUDING ITS OWN ORDINARY NEGLIGENCE, EXCEPT FOR ITS OWN
GROSS NEGLIGENCE OR WILLFUL MISCONDUCT.  The Agent may employ agents,
accountants, attorneys and experts and shall not be responsible for the
negligence or misconduct of any such agents, accountants, attorneys or experts
selected by it in good faith or any action taken or omitted to be taken in good
faith by it in accordance with the advice of such agents, accountants,
attorneys or experts.  The Agent may deem and treat the payee of any Note as
the holder thereof for all purposes hereof unless and until a written notice of
the assignment or transfer thereof permitted hereunder shall have been filed
with the Agent.  The Agent is authorized to release any collateral that is
permitted to be sold or released pursuant to the terms of the Loan Documents.

                 Section 11.02  Reliance by Agent.  The Agent shall be entitled
to rely upon any certification, notice or other communication (including any
thereof by telephone, telex, telecopier, telegram or cable) believed by it to
be genuine and correct and to have been signed





                                      -65-
<PAGE>   72
or sent by or on behalf of the proper Person or Persons, and upon advice and
statements of legal counsel, independent accountants and other experts selected
by the Agent.

                 Section 11.03  Defaults.  The Agent shall not be deemed to
have knowledge of the occurrence of a Default (other than the non-payment of
principal of or interest on Loans or of fees or failure to reimburse for Letter
of Credit drawings) unless the Agent has received notice from a Lender or the
Borrower specifying such Default and stating that such notice is a "Notice of
Default."  In the event that the Agent receives such a notice of the occurrence
of a Default, the Agent shall give prompt notice thereof to the Lenders.  In
the event of a payment Default, the Agent shall give each Lender prompt notice
of each such payment Default.

                 Section 11.04  Rights as a Lender.   With respect to its
Commitments and the Loans made by it and its participation in the issuance of
Letters of Credit, BMO (and any successor acting as Agent) in its capacity as a
Lender hereunder shall have the same rights and powers hereunder as any other
Lender and may exercise the same as though it were not acting as the Agent, and
the term "Lender" or "Lenders" shall, unless the context otherwise indicates,
include the Agent in its individual capacity.  BMO (and any successor acting as
Agent) and its Affiliates may (without having to account therefor to any
Lender) accept deposits from, lend money to and generally engage in any kind of
banking, trust or other business with the Borrower (and any of its Affiliates)
as if it were not acting as the Agent, and BMO and its Affiliates may accept
fees and other consideration from the Borrower for services in connection with
this Agreement or otherwise without having to account for the same to the
Lenders.

                 Section 11.05  INDEMNIFICATION.  THE LENDERS AGREE TO
INDEMNIFY THE AGENT AND THE ISSUING BANK RATABLY IN ACCORDANCE WITH THEIR
PERCENTAGE SHARES FOR THE INDEMNITY MATTERS AS DESCRIBED IN SECTION 12.03 TO
THE EXTENT NOT INDEMNIFIED OR REIMBURSED BY THE BORROWER UNDER SECTION 12.03,
BUT WITHOUT LIMITING THE OBLIGATIONS OF THE BORROWER UNDER SAID SECTION 12.03
AND FOR ANY AND ALL OTHER LIABILITIES, OBLIGATIONS, LOSSES, DAMAGES, PENALTIES,
ACTIONS, JUDGMENTS, SUITS, COSTS, EXPENSES OR DISBURSEMENTS OF ANY KIND AND
NATURE WHATSOEVER WHICH MAY BE IMPOSED ON, INCURRED BY OR ASSERTED AGAINST THE
AGENT OR THE ISSUING BANK IN ANY WAY RELATING TO OR ARISING OUT OF: (I) THIS
AGREEMENT, THE OTHER LOAN DOCUMENTS OR ANY OTHER DOCUMENTS CONTEMPLATED BY OR
REFERRED TO HEREIN OR THE TRANSACTIONS CONTEMPLATED HEREBY, BUT EXCLUDING,
UNLESS A DEFAULT HAS OCCURRED AND IS CONTINUING, NORMAL ADMINISTRATIVE COSTS
AND EXPENSES INCIDENT TO THE PERFORMANCE OF ITS AGENCY DUTIES HEREUNDER OR (II)
THE ENFORCEMENT OF ANY OF THE TERMS OF THIS AGREEMENT, ANY OTHER LOAN DOCUMENT
OR OF ANY SUCH OTHER DOCUMENTS; WHETHER OR NOT ANY OF THE FOREGOING SPECIFIED
IN THIS SECTION 11.05 ARISES FROM THE SOLE OR CONCURRENT NEGLIGENCE OF THE
AGENT OR THE ISSUING BANK, PROVIDED THAT NO LENDER SHALL BE LIABLE FOR ANY OF
THE FOREGOING TO THE EXTENT THEY ARISE FROM THE GROSS NEGLIGENCE OR WILLFUL
MISCONDUCT OF THE AGENT.

                 Section 11.06  Non-Reliance on Agent and other Lenders.  Each
Lender acknowledges and agrees that it has, independently and without reliance
on the Agent or any





                                      -66-
<PAGE>   73
other Lender, and based on such documents and information as it has deemed
appropriate, made its own credit analysis of the Borrower and its decision to
enter into this Agreement, and that it will, independently and without reliance
upon the Agent or any other Lender, and based on such documents and information
as it shall deem appropriate at the time, continue to make its own analysis and
decisions in taking or not taking action under this Agreement.  The Agent shall
not be required to keep itself informed as to the performance or observance by
the Borrower of the Loan Documents or any other document referred to or
provided for herein or to inspect the properties or books of the Borrower.
Except for notices, reports and other documents and information expressly
required to be furnished to the Lenders by the Agent hereunder, the Agent shall
not have any duty or responsibility to provide any Lender with any credit or
other information concerning the affairs, financial condition or business of
the Borrower (or any of its Affiliates) which may come into the possession of
the Agent or any of its Affiliates.  In this regard, each Lender acknowledges
that Vinson & Elkins L.L.P. is acting in this transaction as special counsel to
the Agent only, except to the extent otherwise expressly stated in any legal
opinion or any Loan Document.  Each Lender will consult with its own legal
counsel to the extent that it deems necessary in connection with the Loan
Documents and the matters contemplated therein.

                 Section 11.07  Action by Agent.  Except for action or other
matters expressly required of the Agent hereunder, the Agent shall in all cases
be fully justified in failing or refusing to act hereunder unless it shall (i)
receive written instructions from the Majority Lenders (or all of the Lenders
as expressly required by Section 12.04) specifying the action to be taken, and
(ii) be indemnified to its satisfaction by the Lenders against any and all
liability and expenses which may be incurred by it by reason of taking or
continuing to take any such action.  The instructions of the Majority Lenders
(or all of the Lenders as expressly required by Section 12.04) and any action
taken or failure to act pursuant thereto by the Agent shall be binding on all
of the Lenders.  If a Default has occurred and is continuing, the Agent shall
take such action with respect to such Default as shall be directed by the
Majority Lenders (or all of the Lenders as required by Section 12.04) in the
written instructions (with indemnities) described in this Section 11.07,
provided that, unless and until the Agent shall have received such directions,
the Agent may (but shall not be obligated to) take such action, or refrain from
taking such action, with respect to such Default as it shall deem advisable in
the best interests of the Lenders.  In no event, however, shall the Agent be
required to take any action which exposes the Agent to personal liability or
which is contrary to this Agreement and the other Loan Documents or applicable
law.

                 Section 11.08  Resignation or Removal of Agent.  Subject to
the appointment and acceptance of a successor Agent as provided below, the
Agent may resign at any time by giving notice thereof to the Lenders and the
Borrower, and the Agent may be removed at any time with or without cause by the
Majority Lenders.  Upon any such resignation or removal, the Majority Lenders,
with the consent of Borrower, shall have the right to appoint a successor
Agent.  If no successor Agent shall have been so appointed by the Majority
Lenders and shall have accepted such appointment within thirty (30) days after
the retiring Agent's giving of notice of resignation or the Majority Lenders'
removal of the retiring Agent, then the retiring Agent may, on behalf





                                      -67-
<PAGE>   74
of the Lenders, appoint a successor Agent.  Upon the acceptance of such
appointment hereunder by a successor Agent, such successor Agent shall
thereupon succeed to and become vested with all the rights, powers, privileges
and duties of the retiring Agent, and the retiring Agent shall be discharged
from its duties and obligations hereunder.  After any retiring Agent's
resignation or removal hereunder as Agent, the provisions of this Article XI
and Section 12.03 shall continue in effect for its benefit in respect of any
actions taken or omitted to be taken by it while it was acting as the Agent.


                                  ARTICLE XII

                                 MISCELLANEOUS

                 Section 12.01  Waiver.  No failure on the part of the Agent or
any Lender to exercise and no delay in exercising, and no course of dealing
with respect to, any right, power or privilege under any of the Loan Documents
shall operate as a waiver thereof, nor shall any single or partial exercise of
any right, power or privilege under any of the Loan Documents preclude any
other or further exercise thereof or the exercise of any other right, power or
privilege.  The remedies provided herein are cumulative and not exclusive of
any remedies provided by law.

                 Section 12.02  Notices.  All notices and other communications
provided for herein and in the other Loan Documents (including, without
limitation, any modifications of, or waivers or consents under, this Agreement
or the other Loan Documents) shall be given or made by telex, telecopy, courier
or U.S. Mail or in writing and telexed, telecopied, mailed or delivered to the
intended recipient at the "Address for Notices" specified below its name on the
signature pages hereof or in the Loan Documents or, as to any party, at such
other address as shall be designated by such party in a notice to each other
party.  Except as otherwise provided in this Agreement or in the other Loan
Documents, all such communications shall be deemed to have been duly given when
transmitted, if transmitted before 1:00 p.m. Houston time on a Business Day
(otherwise on the next succeeding Business Day) by telex or telecopier and
evidence or confirmation of receipt is obtained, or personally delivered or, in
the case of a mailed notice, three (3) Business Days after the date deposited
in the mails, postage prepaid, in each case given or addressed as aforesaid.

                 Section 12.03  Payment of Expenses, Indemnities, etc.  The
Borrower agrees:

                 (a)      whether or not the transactions hereby contemplated
         are consummated, to pay all reasonable expenses of the Agent in the
         administration (both before and after the execution hereof and
         including advice of counsel as to the rights and duties of the Agent
         and the Lenders with respect thereto) of, and in connection with the
         negotiation, syndication, investigation, preparation, execution and
         delivery of, recording or filing of, preservation of rights under,
         enforcement of, and refinancing, renegotiation or restructuring of,
         the Loan Documents and any amendment, waiver or consent relating





                                      -68-
<PAGE>   75
         thereto (including, without limitation, the reasonable fees and
         disbursements of counsel and other outside consultants for the Agent
         and, in the case of enforcement, the reasonable fees and disbursements
         of counsel for the Agent and any of the Lenders); and promptly
         reimburse the Agent for all amounts expended, advanced or incurred by
         the Agent or the Lenders to satisfy any obligation of the Borrower
         under this Agreement or any other Loan Document, including without
         limitation, all costs and expenses of foreclosure;

                 (b)      TO INDEMNIFY THE AGENT AND EACH LENDER AND EACH OF
         THEIR AFFILIATES AND EACH OF THEIR OFFICERS, DIRECTORS, EMPLOYEES,
         REPRESENTATIVES, AGENTS, ATTORNEYS, ACCOUNTANTS AND EXPERTS
         ("INDEMNIFIED PARTIES") FROM, HOLD EACH OF THEM HARMLESS AGAINST AND
         PROMPTLY UPON DEMAND PAY OR REIMBURSE EACH OF THEM FOR, THE INDEMNITY
         MATTERS WHICH MAY BE INCURRED BY OR ASSERTED AGAINST OR INVOLVE ANY OF
         THEM (WHETHER OR NOT ANY OF THEM IS DESIGNATED A PARTY THERETO) AS A
         RESULT OF, ARISING OUT OF OR IN ANY WAY RELATED TO (I) ANY ACTUAL OR
         PROPOSED USE BY THE BORROWER OF THE PROCEEDS OF ANY OF THE LOANS OR
         LETTERS OF CREDIT, (II) THE EXECUTION, DELIVERY AND PERFORMANCE OF THE
         LOAN DOCUMENTS, (III) THE OPERATIONS OF THE BUSINESS OF THE BORROWER
         AND THE SUBSIDIARIES, (IV) THE FAILURE OF THE BORROWER OR ANY
         GUARANTOR TO COMPLY WITH THE TERMS OF ANY OTHER LOAN DOCUMENT OR THIS
         AGREEMENT, OR WITH ANY GOVERNMENTAL REQUIREMENT, (V) ANY INACCURACY OF
         ANY REPRESENTATION OR ANY BREACH OF ANY WARRANTY OF THE BORROWER OR
         ANY GUARANTOR SET FORTH IN ANY OF THE LOAN DOCUMENTS, (VI) THE
         ISSUANCE, EXECUTION AND DELIVERY OR TRANSFER OF OR PAYMENT OR FAILURE
         TO PAY UNDER ANY LETTER OF CREDIT, (VII) ANY ASSERTION THAT THE
         LENDERS WERE NOT ENTITLED TO RECEIVE THE PROCEEDS RECEIVED PURSUANT TO
         THE LOAN DOCUMENTS OR (VIII) ANY OTHER ASPECT OF THE LOAN DOCUMENTS,
         INCLUDING, WITHOUT LIMITATION, THE REASONABLE FEES AND DISBURSEMENTS
         OF COUNSEL AND ALL OTHER REASONABLE EXPENSES INCURRED IN CONNECTION
         WITH INVESTIGATING, DEFENDING OR PREPARING TO DEFEND ANY SUCH ACTION,
         SUIT, PROCEEDING (INCLUDING ANY INVESTIGATIONS, LITIGATION OR
         INQUIRIES) OR CLAIM AND INCLUDING ALL INDEMNITY MATTERS ARISING BY
         REASON OF THE ORDINARY NEGLIGENCE OF ANY INDEMNIFIED PARTY, BUT
         EXCLUDING ALL INDEMNITY MATTERS ARISING SOLELY BY REASON OF CLAIMS
         BETWEEN THE LENDERS OR ANY LENDER AND THE AGENT OR A LENDER'S
         SHAREHOLDERS AGAINST THE AGENT OR LENDER OR BY REASON OF THE GROSS
         NEGLIGENCE OR WILLFUL MISCONDUCT ON THE PART OF ANY INDEMNIFIED PARTY;
         AND

                 (c)      TO INDEMNIFY AND HOLD HARMLESS FROM TIME TO TIME THE
         INDEMNIFIED PARTY FROM AND AGAINST ANY AND ALL LOSSES, CLAIMS, COST
         RECOVERY ACTIONS, ADMINISTRATIVE ORDERS OR PROCEEDINGS, DAMAGES AND
         LIABILITIES TO WHICH ANY SUCH PERSON MAY BECOME SUBJECT (I) UNDER ANY
         ENVIRONMENTAL LAW APPLICABLE TO THE BORROWER OR ANY OF ITS
         PROPERTIES, INCLUDING WITHOUT LIMITATION, THE TREATMENT OR DISPOSAL OF
         HAZARDOUS





                                      -69-
<PAGE>   76
         SUBSTANCES ON ANY OF THEIR PROPERTIES, (II) AS A RESULT OF THE BREACH
         OR NON-COMPLIANCE BY THE BORROWER WITH ANY ENVIRONMENTAL LAW
         APPLICABLE TO THE BORROWER, (III) DUE TO PAST OWNERSHIP BY THE
         BORROWER  OF ANY OF ITS PROPERTIES OR PAST ACTIVITY ON ANY OF ITS
         PROPERTIES WHICH, THOUGH LAWFUL AND FULLY PERMISSIBLE AT THE TIME,
         RESULTS IN PRESENT LIABILITY, (IV) THE PRESENCE, USE, RELEASE,
         STORAGE, TREATMENT OR DISPOSAL OF HAZARDOUS SUBSTANCES ON OR AT ANY OF
         THE PROPERTIES OWNED OR OPERATED BY THE BORROWER OR (V) ANY OTHER
         ENVIRONMENTAL, HEALTH OR SAFETY CONDITION IN CONNECTION WITH THE LOAN
         DOCUMENTS, PROVIDED, HOWEVER, NO INDEMNITY SHALL BE AFFORDED UNDER
         THIS SECTION 12.03(C) IN RESPECT OF ANY PROPERTY FOR ANY OCCURRENCE
         ARISING FROM THE ACTS OR OMISSIONS OF THE AGENT OR ANY LENDER DURING
         THE PERIOD AFTER WHICH SUCH PERSON, ITS SUCCESSORS OR ASSIGNS, OR
         THEIR AGENTS OR REPRESENTATIVES,  SHALL HAVE OBTAINED POSSESSION OF
         SUCH PROPERTY (WHETHER BY FORECLOSURE OR DEED IN LIEU OF FORECLOSURE,
         AS MORTGAGEE-IN-POSSESSION OR OTHERWISE).

                 (d)      No Indemnified Party may settle any claim to be
         indemnified without the consent of the indemnitor, such consent not to
         be unreasonably withheld; provided, that the indemnitor may not
         reasonably withhold consent to any settlement that an Indemnified
         Party proposes, if the indemnitor does not have the financial ability
         to pay all its obligations outstanding and asserted against the
         indemnitor at that time, including, without limitation, the maximum
         potential claims against the Indemnified Party to be indemnified
         pursuant to this Section 12.03.

                 (e)      In the case of any indemnification hereunder, the
         Agent or Lender, as appropriate shall give notice to the Borrower of
         any such claim or demand being made against the Indemnified Party and
         the Borrower shall have the non-exclusive right to join in the defense
         against any such claim or demand provided that if the Borrower
         provides a defense, the Indemnified Party shall bear its own cost of
         defense unless there is a conflict between the Borrower and such
         Indemnified Party.

                 (f)      THE FOREGOING INDEMNITIES SHALL EXTEND TO THE
         INDEMNIFIED PARTIES NOTWITHSTANDING THE SOLE OR CONCURRENT NEGLIGENCE
         OF EVERY KIND OR CHARACTER WHATSOEVER, WHETHER ACTIVE OR PASSIVE,
         WHETHER AN AFFIRMATIVE ACT OR AN OMISSION, INCLUDING WITHOUT
         LIMITATION, ALL TYPES OF NEGLIGENT CONDUCT IDENTIFIED IN THE
         RESTATEMENT (SECOND) OF TORTS OF ONE OR MORE OF THE INDEMNIFIED
         PARTIES OR BY REASON OF STRICT LIABILITY IMPOSED WITHOUT FAULT ON ANY
         ONE OR MORE OF THE INDEMNIFIED PARTIES.  TO THE EXTENT THAT AN
         INDEMNIFIED PARTY IS FOUND TO HAVE COMMITTED AN ACT OF GROSS
         NEGLIGENCE OR WILLFUL MISCONDUCT, THIS CONTRACTUAL OBLIGATION OF
         INDEMNIFICATION SHALL CONTINUE BUT SHALL ONLY EXTEND TO THE PORTION OF
         THE CLAIM THAT IS DEEMED TO HAVE OCCURRED BY REASON OF EVENTS OTHER
         THAN THE GROSS NEGLIGENCE OR WILLFUL MISCONDUCT OF SUCH INDEMNIFIED
         PARTY.





                                      -70-
<PAGE>   77
                 (g)      The Borrower's obligations under this Section 12.03
         shall survive any termination of this Agreement and the payment of the
         Notes and shall continue thereafter in full force and effect.

                 (h)      The Borrower shall pay any amounts due under this
         Section 12.03 within thirty (30) days of the receipt by the Borrower
         of notice of the amount due.

                 Section 12.04  Amendments, Etc.  Any provision of this
Agreement or any other Loan Document may be amended, modified or waived with
the Borrower's and the Majority Lenders' written consent; provided that (i) no
amendment, modification or waiver which extends the final maturity of the
Loans, increases the Aggregate Maximum Credit Amounts, allows an increase in
the Borrowing Base without the approval of all the Lenders, forgives the
principal amount of any Indebtedness outstanding under this Agreement, releases
any guarantor of the Indebtedness or releases all or substantially all of the
collateral, reduces the interest rate applicable to the Loans or the fees
payable to the Lenders generally, affects Section 2.03(a), this Section 12.04
or Section 12.06(a) or modifies the definition of "Majority Lenders" shall be
effective without consent of all Lenders; (ii) no amendment, modification or
waiver which increases the Maximum Credit Amount of any Lender shall be
effective without the consent of such Lender; and (iii) no amendment,
modification or waiver which modifies the rights, duties or obligations of the
Agent shall be effective without the consent of the Agent.

                 Section 12.05  Successors and Assigns.  This Agreement shall
be binding upon and inure to the benefit of the parties hereto and their
respective successors and permitted assigns.

                 Section 12.06  Assignments and Participations.

                 (a)      The Borrower may not assign its rights or obligations
         hereunder or under the Notes or any Letters of Credit without the
         prior consent of all of the Lenders and the Agent.

                 (b)      Any Lender may, upon the written consent of the Agent
         and the Borrower (which consent will not be unreasonably withheld),
         assign to one or more assignees all or a portion of its rights and
         obligations under this Agreement pursuant to an Assignment Agreement
         substantially in the form of Exhibit E (an "Assignment") provided,
         however, that (i) any such assignment shall be in the amount of at
         least $10,000,000 or such lesser amount to which the Borrower has
         consented and (ii) the assignee or assignor shall pay to the Agent a
         processing and recordation fee of $2,500 for each assignment.  Any
         such assignment will become effective upon the execution and delivery
         to the Agent of the Assignment and the consent of the Agent and the
         Borrower.  Promptly after receipt of an executed Assignment, the Agent
         shall send to the Borrower a copy of such executed Assignment.  Upon
         receipt of such executed Assignment and of the Notes which are the
         subject thereof, the Borrower, will, at its own expense, execute and
         deliver new Notes to the assignor and/or assignee, as appropriate, in
         accordance with their respective





                                      -71-
<PAGE>   78
         interests as they appear.  Upon the effectiveness of any assignment
         pursuant to this Section 12.06(b), the assignee will become a
         "Lender," if not already a "Lender," for all purposes of this
         Agreement and the other Loan Documents.  The assignor shall be
         relieved of its obligations hereunder to the extent of such assignment
         (and if the assigning Lender no longer holds any rights or obligations
         under this Agreement, such assigning Lender shall cease to be a
         "Lender" hereunder except that its rights under Sections 4.06, 5.01,
         5.05 and 12.03 shall not be affected).  The Agent will prepare on the
         last Business Day of each month during which an assignment has become
         effective pursuant to this Section 12.06(b), a new Annex I giving
         effect to all such assignments effected during such month, and will
         promptly provide the same to the Borrower and each of the Lenders.

                 (c)      Each Lender may transfer, grant or assign
         participations in all or any part of such Lender's interests hereunder
         pursuant to this Section 12.06(c) to any Person, provided that: (i)
         such Lender shall remain a "Lender" for all purposes of this Agreement
         and the transferee of such participation shall not constitute a
         "Lender" hereunder; (ii) no such participant to which the Borrower has
         not consented (such consent not to be unreasonably withheld) shall be
         given any non-public information provided by the Borrower or the
         Guarantors under the Loan Documents; and (iii) no participant under
         any such participation shall have rights to approve any amendment to
         or waiver of any of the Loan Documents except to the extent such
         amendment or waiver would (x) forgive any principal owing on any
         Indebtedness or extend the final maturity of the Loans, (y) reduce the
         interest rate (other than as a result of waiving the applicability of
         any post-default increases in interest rates) or fees applicable to
         any of the Commitments or Loans or Letters of Credit in which such
         participant is participating, or postpone the payment of any thereof,
         or (z) release any guarantor of the Indebtedness or release all or
         substantially all of the collateral (except as provided in the Loan
         Documents) supporting any of the Commitments or Loans or Letters of
         Credit in which such participant is participating.  In the case of any
         such participation, the participant shall not have any rights under
         this Agreement or any of the other Loan Documents (the participant's
         rights against the granting Lender in respect of such participation to
         be those set forth in the agreement with such Lender creating such
         participation), and all amounts payable by the Borrower hereunder
         shall be determined as if such Lender had not sold such participation,
         provided that such participant shall be entitled to receive additional
         amounts under Article V on the same basis as if it were a Lender and
         be indemnified under Section 12.03 as if it were a Lender.  In
         addition, each agreement creating any participation must include an
         agreement by the participant to be bound by the provisions of Section
         12.15.

                 (d)      The Lenders may furnish any information concerning
         the Borrower in the possession of the Lenders from time to time to
         assignees and participants (including prospective assignees and
         participants to which the Borrower has consented (such consent not to
         be unreasonably withheld); provided that, such Persons agree to be
         bound by the provisions of Section 12.15 hereof.  The Borrower hereby
         consents to the sale of participations by any Lender to such Lender's
         Affiliates.





                                      -72-
<PAGE>   79
                 (e)      Notwithstanding anything in this Section 12.06 to the
         contrary, any Lender may assign and pledge its Note to any Federal
         Reserve Bank or the United States Treasury as collateral security
         pursuant to Regulation A of the Board of Governors of the Federal
         Reserve System and any operating circular issued by such Federal
         Reserve System and/or such Federal Reserve Bank.  No such assignment
         and/or pledge shall release the assigning and/or pledging Lender from
         its obligations hereunder.

                 (f)      Notwithstanding any other provisions of this Section
         12.06, no transfer or assignment of the interests or obligations of
         any Lender or any grant of participations therein shall be permitted
         if such transfer, assignment or grant would require the Borrower to
         file a registration statement with the SEC or to qualify the Loans
         under the "Blue Sky" laws of any state.

                 Section 12.07  Invalidity.  In the event that any one or more
of the provisions contained in any of the Loan Documents shall, for any reason,
be held invalid, illegal or unenforceable in any respect, such invalidity,
illegality or unenforceability shall not affect any other provision of the
Notes, this Agreement or any other Loan Document.

                 Section 12.08  Counterparts.  This Agreement may be executed
in any number of counterparts, all of which taken together shall constitute one
and the same instrument and any of the parties hereto may execute this
Agreement by signing any such counterpart.

                 Section 12.09  References.  The words "herein," "hereof,"
"hereunder" and other words of similar import when used in this Agreement refer
to this Agreement as a whole, and not to any particular article, section or
subsection.  Any reference herein to a Section shall be deemed to refer to the
applicable Section of this Agreement unless otherwise stated herein.  Any
reference herein to an exhibit or schedule shall be deemed to refer to the
applicable exhibit or schedule attached hereto unless otherwise stated herein.

                 Section 12.10  Survival. The obligations of the parties under
Section 4.06, Article V, and Sections 11.05 and 12.03 shall survive the
repayment of the Loans and the termination of the Commitments.  To the extent
that any payments on the Indebtedness or proceeds of any collateral are
subsequently invalidated, declared to be fraudulent or preferential, set aside
or required to be repaid to a trustee, debtor in possession, receiver or other
Person under any bankruptcy law, common law or equitable cause, then to such
extent, the Indebtedness so satisfied shall be revived and continue as if such
payment or proceeds had not been received and the Agent's and the Lenders'
Liens, security interests, rights, powers and remedies under this Agreement and
each other Loan Document shall continue in full force and effect.  In such
event, each Loan Document shall be automatically reinstated and the Borrower
shall take such action as may be reasonably requested by the Agent and the
Lenders to effect such reinstatement.

                 Section 12.11  Captions.  Captions and section headings
appearing herein are included solely for convenience of reference and are not
intended to affect the interpretation of any provision of this Agreement.





                                      -73-
<PAGE>   80
                 Section 12.12  NO ORAL AGREEMENTS.  THE LOAN DOCUMENTS EMBODY
THE ENTIRE AGREEMENT AND UNDERSTANDING BETWEEN THE PARTIES AND SUPERSEDE ALL
OTHER AGREEMENTS AND UNDERSTANDINGS BETWEEN SUCH PARTIES RELATING TO THE
SUBJECT MATTER HEREOF AND THEREOF.  THE LOAN DOCUMENTS REPRESENT THE FINAL
AGREEMENT BETWEEN THE PARTIES AND MAY NOT BE CONTRADICTED BY EVIDENCE OF PRIOR,
CONTEMPORANEOUS OR SUBSEQUENT ORAL AGREEMENTS OF THE PARTIES.  THERE ARE NO
UNWRITTEN ORAL AGREEMENTS BETWEEN THE PARTIES.

                 Section 12.13  GOVERNING LAW; SUBMISSION TO JURISDICTION.

                 (a)      THIS AGREEMENT AND THE NOTES SHALL BE GOVERNED BY,
         AND CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF TEXAS
         EXCEPT TO THE EXTENT THAT UNITED STATES FEDERAL LAW PERMITS ANY LENDER
         TO CHARGE INTEREST AT THE RATE ALLOWED BY THE LAWS OF THE STATE WHERE
         SUCH LENDER IS LOCATED.  TEX. REV. CIV. STAT. ANN. ART.  5069, CH. 15
         (WHICH REGULATES CERTAIN REVOLVING CREDIT LOAN ACCOUNTS AND REVOLVING
         TRI-PARTY ACCOUNTS) SHALL NOT APPLY TO THIS AGREEMENT OR THE NOTES.

                 (b)      ANY LEGAL ACTION OR PROCEEDING WITH RESPECT TO THE
         LOAN DOCUMENTS SHALL BE BROUGHT IN THE COURTS OF THE STATE OF TEXAS OR
         OF THE UNITED STATES OF AMERICA FOR THE SOUTHERN DISTRICT OF TEXAS,
         AND, BY EXECUTION AND DELIVERY OF THIS AGREEMENT, THE BORROWER HEREBY
         ACCEPTS FOR ITSELF AND (TO THE EXTENT PERMITTED BY LAW) IN RESPECT OF
         ITS PROPERTY, GENERALLY AND UNCONDITIONALLY, THE JURISDICTION OF THE
         AFORESAID COURTS.  THE BORROWER HEREBY IRREVOCABLY WAIVES ANY
         OBJECTION, INCLUDING, WITHOUT LIMITATION, ANY OBJECTION TO THE LAYING
         OF VENUE OR BASED ON THE GROUNDS OF FORUM NON CONVENIENS, WHICH IT MAY
         NOW OR HEREAFTER HAVE TO THE BRINGING OF ANY SUCH ACTION OR PROCEEDING
         IN SUCH RESPECTIVE JURISDICTIONS.  THIS SUBMISSION TO JURISDICTION IS
         NON-EXCLUSIVE AND DOES NOT PRECLUDE THE AGENT OR ANY LENDER FROM
         OBTAINING JURISDICTION OVER THE BORROWER IN ANY COURT OTHERWISE HAVING
         JURISDICTION.

                 (c)      EACH OF THE BORROWER AND EACH LENDER HEREBY (I)
         IRREVOCABLY AND UNCONDITIONALLY WAIVE, TO THE FULLEST EXTENT PERMITTED
         BY LAW, TRIAL BY JURY IN ANY LEGAL ACTION OR PROCEEDING RELATING TO
         THIS AGREEMENT OR ANY OTHER LOAN DOCUMENT AND FOR ANY COUNTERCLAIM
         THEREIN; (II) IRREVOCABLY WAIVE, TO THE MAXIMUM EXTENT NOT PROHIBITED
         BY LAW, ANY RIGHT IT MAY HAVE TO CLAIM OR RECOVER IN ANY SUCH
         LITIGATION ANY SPECIAL, EXEMPLARY, PUNITIVE OR CONSEQUENTIAL DAMAGES,
         OR DAMAGES OTHER THAN, OR IN ADDITION TO, ACTUAL DAMAGES; (III)
         CERTIFY THAT NO PARTY HERETO NOR ANY REPRESENTATIVE OR AGENT OF
         COUNSEL FOR ANY PARTY HERETO HAS REPRESENTED, EXPRESSLY OR OTHERWISE,
         OR IMPLIED THAT SUCH PARTY WOULD NOT, IN THE EVENT OF LITIGATION, SEEK
         TO ENFORCE THE FOREGOING WAIVERS, AND (IV) ACKNOWLEDGE THAT IT HAS
         BEEN INDUCED TO ENTER INTO THIS AGREEMENT, THE OTHER LOAN DOCUMENTS
         AND THE TRANSACTIONS CONTEMPLATED HEREBY AND





                                      -74-
<PAGE>   81
         THEREBY BY, AMONG OTHER THINGS, THE MUTUAL WAIVERS AND CERTIFICATIONS
         CONTAINED IN THIS SECTION 12.13.

                 Section 12.14  Interest.  It is the intention of the parties
hereto that each Lender shall conform strictly to usury laws applicable to it.
Accordingly, if the transactions contemplated hereby would be usurious as to
any Lender under laws applicable to it (including the laws of the United States
of America and the State of Texas or any other jurisdiction whose laws may be
mandatorily applicable to such Lender notwithstanding the other provisions of
this Agreement), then, in that event, notwithstanding anything to the contrary
in any of the Loan Documents or any agreement entered into in connection with
or as security for the Notes, it is agreed as follows:  (i) the aggregate of
all consideration which constitutes interest under law applicable to any Lender
that is contracted for, taken, reserved, charged or received by such Lender
under any of the Loan Documents or agreements or otherwise in connection with
the Notes shall under no circumstances exceed the maximum amount allowed by
such applicable law, and any excess shall be canceled automatically and if
theretofore paid shall be credited by such Lender on the principal amount of
the Indebtedness (or, to the extent that the principal amount of the
Indebtedness shall have been or would thereby be paid in full, refunded by such
Lender to the Borrower); and (ii) in the event that the maturity of the Notes
is accelerated by reason of an election of the holder thereof resulting from
any Event of Default under this Agreement or otherwise, or in the event of any
required or permitted prepayment, then such consideration that constitutes
interest under law applicable to any Lender may never include more than the
maximum amount allowed by such applicable law, and excess interest, if any,
provided for in this Agreement or otherwise shall be canceled automatically by
such Lender as of the date of such acceleration or prepayment and, if
theretofore paid, shall be credited by such Lender on the principal amount of
the Indebtedness (or, to the extent that the principal amount of the
Indebtedness shall have been or would thereby be paid in full, refunded by such
Lender to the Borrower).  All sums paid or agreed to be paid to any Lender for
the use, forbearance or detention of sums due hereunder shall, to the extent
permitted by law applicable to such Lender, be amortized, prorated, allocated
and spread throughout the full term of the Loans evidenced by the Notes until
payment in full so that the rate or amount of interest on account of any Loans
hereunder does not exceed the maximum amount allowed by such applicable law.
If at any time and from time to time (i) the amount of interest payable to any
Lender on any date shall be computed at the Highest Lawful Rate applicable to
such Lender pursuant to this Section 12.14 and (ii) in respect of any
subsequent interest computation period the amount of interest otherwise payable
to such Lender would be less than the amount of interest payable to such Lender
computed at the Highest Lawful Rate applicable to such Lender, then the amount
of interest payable to such Lender in respect of such subsequent interest
computation period shall continue to be computed at the Highest Lawful Rate
applicable to such Lender until the total amount of interest payable to such
Lender shall equal the total amount of interest which would have been payable
to such Lender if the total amount of interest had been computed without giving
effect to this Section 12.14.  To the extent that Article 5069-1D.001 of the
Texas Revised Civil Statutes is relevant for the purpose of determining the
Highest Lawful Rate, such Lender elects to determine the applicable rate
ceiling under such Article by the weekly rate ceiling from time to time in
effect.





                                      -75-
<PAGE>   82
                 Section 12.15  Confidentiality.   In the event that the
Borrower or any Guarantor (hereinafter called the "Subject Entities') provides
to the Agent or the Lenders written confidential information or, if
communicated as confidential, oral confidential information belonging to any
Subject Entity, the Agent and the Lenders shall thereafter maintain such
information in confidence in accordance with the standards of care and
diligence that each utilizes in maintaining its own confidential information.
This obligation of confidence shall not apply to such portions of the
information which (i) are in the public domain, (ii) hereafter become part of
the public domain without the Agent or the Lenders breaching their obligation
of confidence to any Subject Entity, (iii) are previously known by the Agent or
the Lenders from some source other than any Subject Entity, (iv) are hereafter
developed by the Agent or the Lenders without using a Subject Entity's
information, (v) are hereafter obtained by or available to the Agent or the
Lenders from a third party who owes no obligation of confidence to any Subject
Entity with respect to such information, (vi) are disclosed with a Subject
Entity's consent, (vii) must be disclosed either pursuant to any Governmental
Requirement or to Persons regulating the activities of the Agent or the
Lenders, or (viii) as may be required by law or regulation or order of any
Governmental Authority in any judicial, arbitration or governmental proceeding.
Further, the Agent or a Lender may disclose any such information to any other
Lender, any independent petroleum engineers or consultants, any independent
certified public accountants, any legal counsel employed by such Person in
connection with this Agreement or any other Loan Document, including without
limitation, the enforcement or exercise of all rights and remedies thereunder,
or, subject to Section 12.06, any assignee or participant (including
prospective assignees to which the Borrower has consented and participants) in
the Loans; provided, however, that the Agent or the Lenders shall receive a
confidentiality agreement from the Person to whom such information is disclosed
such that said Person shall have the same obligation to maintain the
confidentiality of such information as is imposed upon the Agent or the Lenders
hereunder.  Notwithstanding anything to the contrary provided herein, this
obligation of confidence shall cease three (3) years from the date the
information was furnished, unless the Borrower requests in writing at least
thirty (30) days prior to the expiration of such three year period, to maintain
the confidentiality of such information for an additional three year period.

                 Section 12.16    Prior Credit Agreement.  The Prior Credit
Agreement is superseded by this Agreement and is of no further force or effect.

                 Section 12.17    Release Regarding the Prior Note and Related
Documents.  To induce Lenders to purchase the Prior Note and the rights under
certain of the documents securing said Prior Note (the "Prior Security
Documents"), the Borrower hereby fully releases and discharges the Agent and
the Lenders, and each of their officers, directors, employees, representatives,
agents and affiliates, from all claims, demands, causes of action, liabilities
or other obligations of any kind whatsoever, including, without limitation,
offsets, reductions, rebatements or claims of usury, known or unknown, whether
now existing or hereafter asserted in connection with the Prior Note and the
Prior Security Documents arising from matters occurring before the date of the
Lender's purchase.





                                      -76-
<PAGE>   83
                 Section 12.18  Effectiveness.  This Agreement shall be
effective on the Closing Date (the "Effective Date").

                 Section 12.19  EXCULPATION PROVISIONS.  EACH OF THE PARTIES
HERETO SPECIFICALLY AGREES THAT IT HAS A DUTY TO READ THIS AGREEMENT AND THE
OTHER LOAN DOCUMENTS AND AGREES THAT IT IS CHARGED WITH NOTICE AND KNOWLEDGE OF
THE TERMS OF THIS AGREEMENT AND THE  OTHER LOAN DOCUMENTS; THAT IT HAS IN FACT
READ THIS AGREEMENT AND IS FULLY INFORMED AND HAS FULL NOTICE AND KNOWLEDGE OF
THE TERMS, CONDITIONS AND EFFECTS OF THIS AGREEMENT; THAT IT HAS BEEN
REPRESENTED BY INDEPENDENT LEGAL COUNSEL OF ITS CHOICE THROUGHOUT THE
NEGOTIATIONS PRECEDING ITS EXECUTION OF THIS AGREEMENT AND THE OTHER LOAN
DOCUMENTS; AND HAS RECEIVED THE ADVICE OF ITS ATTORNEY IN ENTERING INTO THIS
AGREEMENT AND THE OTHER LOAN DOCUMENTS; AND THAT IT RECOGNIZES THAT CERTAIN OF
THE TERMS OF THIS AGREEMENT AND THE OTHER LOAN DOCUMENTS RESULT IN ONE PARTY
ASSUMING THE LIABILITY INHERENT IN SOME ASPECTS OF THE TRANSACTION AND
RELIEVING THE OTHER PARTY OF ITS RESPONSIBILITY FOR SUCH LIABILITY.  EACH PARTY
HERETO AGREES AND COVENANTS THAT IT WILL NOT CONTEST THE VALIDITY OR
ENFORCEABILITY OF ANY EXCULPATORY PROVISION OF THIS AGREEMENT AND THE OTHER
LOAN DOCUMENTS ON THE BASIS THAT THE PARTY HAD NO NOTICE OR KNOWLEDGE OF SUCH
PROVISION OR THAT THE PROVISION IS NOT "CONSPICUOUS."





                                      -77-
<PAGE>   84
                 The parties hereto have caused this Agreement to be duly
executed as of the day and year first above written.

BORROWER:                          BRIGHAM OIL & GAS, L.P.

                                   By:      Brigham, Inc., its General Partner
                                  
                                  
                                  
                                            By: /s/ CRAIG M. FLEMING
                                               ---------------------------------
                                            Name:  Craig M. Fleming
                                            Title: Chief Financial Officer
                                  
                                   Address for Notices:
                                  
                                   6300 Bridge Point Parkway
                                   Building 2, Suite 500
                                   Austin, Texas  78730
                                  
                                   Telecopier No.: (512) 427-3400
                                   Telephone No.: (512) 427-3300
                                  
                                  
                                   Attention:  Craig M. Fleming




                                Signature Page 1
<PAGE>   85
LENDER AND AGENT:                  BANK OF MONTREAL




                                   By: /s/ ROBERT L. ROBERTS
                                       ---------------------------------
                                   Name:  Robert L. Roberts
                                   Title:   Director, U.S. Corporate Banking
                                  
                                   Lending Office for Base Rate Loans and
                                   Eurodollar Loans:
                                  
                                   115 South LaSalle
                                   Chicago, Illinois  60603
                                  
                                   Address for Notices:
                                  
                                   115 South LaSalle
                                   Chicago, Illinois  60603
                                  
                                   Telecopier No.:  312/750-6061
                                   Telephone No.:   312/750-4326
                                   Attention:  Farid Ali
                                  
                                   With copy to:
                                  
                                   Robert L. Roberts
                                   Director, U.S. Corporate Banking
                                   Bank of Montreal
                                   700 Louisiana, Suite 4400
                                   Houston, Texas 77002
                                   Telecopier:  (713) 546-4007
                                   Telephone:   (713) 546-9754





                                Signature Page 2

<PAGE>   1
                                                              EXHIBIT 21

                                  SUBSIDIARIES

Brigham Oil & Gas, L.P., a Delaware limited partnership
Quest Resources, L.L.C., a Texas limited liability company

<TABLE> <S> <C>

<ARTICLE> 5
<MULTIPLIER> 1,000
       
<S>                             <C>
<PERIOD-TYPE>                   YEAR
<FISCAL-YEAR-END>                          DEC-31-1997
<PERIOD-START>                             JAN-01-1997
<PERIOD-END>                               DEC-31-1997
<CASH>                                           1,701
<SECURITIES>                                         0
<RECEIVABLES>                                    4,909
<ALLOWANCES>                                         0
<INVENTORY>                                          0
<CURRENT-ASSETS>                                 6,890
<PP&E>                                          85,415
<DEPRECIATION>                                       0
<TOTAL-ASSETS>                                  92,401
<CURRENT-LIABILITIES>                           15,513
<BONDS>                                              0
                                0
                                          0
<COMMON>                                           123
<OTHER-SE>                                      44,030
<TOTAL-LIABILITY-AND-EQUITY>                    92,401
<SALES>                                          9,184
<TOTAL-REVENUES>                                 9,821
<CGS>                                                0
<TOTAL-COSTS>                                    1,700
<OTHER-EXPENSES>                                 6,884
<LOSS-PROVISION>                                     0
<INTEREST-EXPENSE>                               1,045
<INCOME-PRETAX>                                    192
<INCOME-TAX>                                     1,228
<INCOME-CONTINUING>                            (1,036)
<DISCONTINUED>                                       0
<EXTRAORDINARY>                                      0
<CHANGES>                                            0
<NET-INCOME>                                   (1,036)
<EPS-PRIMARY>                                    (.09)
<EPS-DILUTED>                                    (.09)
        

</TABLE>


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