BELLWETHER EXPLORATION CO
10-Q, 1998-08-12
CRUDE PETROLEUM & NATURAL GAS
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<PAGE>
 
                      SECURITIES AND EXCHANGE COMMISSION
                            Washington, D.C. 20549
                                ______________

                                   FORM 10-Q

(Mark One)
   [X]      Quarterly Report Pursuant to Section 13 or 15(d) of the Securities
                             Exchange Act of 1934
                      FOR THE QUARTER ENDED JUNE 30, 1998
                                        
                                      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 0-9498


                        BELLWETHER EXPLORATION COMPANY
            (Exact name of registrant as specified in its charter)



Delaware                                                              74-0437769
(State of incorporation)                    (IRS Employer Identification Number)
1331 Lamar, Suite 1455  Houston, Texas                                77010-3039
(Address of principal executive offices)                              (ZIP Code)

      Registrant's telephone number, including area code: (713) 650-1025

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

As of August 4, 1998, 14,138,818 shares of common stock of Bellwether
Exploration Company were outstanding.

                                       1
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY
                                        

                                     INDEX
                                        
<TABLE> 
<CAPTION> 
PART I.   FINANCIAL INFORMATION                                                                            Page #

     ITEM 1.  Financial Statements
<S>           <C>                                                                                             <C> 
              Condensed Consolidated Balance Sheets:
                   June 30, 1998 (Unaudited) and December 31, 1997............................................  3
              Condensed Consolidated Statements of Operations (Unaudited):
                   Three and six months ended June 30, 1998 and June 30, 1997.................................  5
              Condensed Consolidated Statements of Cash Flows (Unaudited):
                   Six months ended June 30, 1998 and June 30, 1997...........................................  6
              Notes to Condensed Consolidated Financial Statements (Unaudited)................................  8
 
     ITEM 2.  Management's Discussion and Analysis of Financial
                   Condition and Results of Operations........................................................ 12
 
PART II.  OTHER INFORMATION................................................................................... 18
</TABLE> 

                                       2
<PAGE>
 
                        PART I.  FINANCIAL INFORMATION

ITEM 1.   FINANCIAL STATEMENTS

                        BELLWETHER EXPLORATION COMPANY
                                        
                     CONDENSED CONSOLIDATED BALANCE SHEETS

                            (Amounts in thousands)

                                    ASSETS

<TABLE>
<CAPTION>
                                                                          June 30,                December 31,
                                                                            1998                      1997
                                                                          ---------                 --------
                                                                         (Unaudited)
CURRENT ASSETS:
<S>                                                                      <C>                      <C>
Cash and cash equivalents.......................................          $  10,918                 $  2,699
Accounts receivable and accrued revenues........................             13,880                   18,293
Due from related parties........................................                249                    4,645
Prepaid expenses and other......................................              3,760                    3,240
                                                                          ---------                 --------
 Total current assets...........................................             28,807                   28,877
                                                                          ---------                 --------
PROPERTY AND EQUIPMENT, AT COST:
 
Oil and gas properties (full cost method).......................            273,924                  250,227
Gas plant facilities............................................             16,728                   16,717
                                                                          ---------                 --------
                                                                            290,652                  266,944
Accumulated depreciation, depletion and amortization............           (105,034)                 (86,811)
                                                                          ---------                 --------
                                                                            185,618                  180,133
                                                                          ---------                 --------
 
OTHER ASSETS....................................................              5,422                    5,747
                                                                          ---------                 --------
                                                                          $ 219,847                 $214,757
                                                                          =========                 ========
</TABLE>



     See accompanying notes to condensed consolidated financial statements

                                       3
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY

                     CONDENSED CONSOLIDATED BALANCE SHEETS

               (Amounts in thousands, except share information)

                     LIABILITIES AND STOCKHOLDERS' EQUITY

<TABLE>
<CAPTION>
                                                                                 June 30,                December 31,
                                                                                   1998                     1997
                                                                                 --------                  --------
                                                                                (Unaudited)
CURRENT LIABILITIES:
<S>                                                                     <C>                       <C>
Accounts payable and accrued liabilities.......................                  $ 16,302                  $ 14,241
Due to related parties.........................................                     3,332                       672
                                                                                 --------                  --------
 Total current liabilities.....................................                    19,634                    14,913
                                                                                 --------                  --------
 
LONG-TERM DEBT.................................................                   100,000                   100,000
 
DEFERRED INCOME TAXES..........................................                     6,046                     7,106
 
OTHER LIABILITIES..............................................                       826                     1,069
 
STOCKHOLDERS' EQUITY:
 
Preferred stock, $0.01 par value, 1,000,000 shares authorized;
   none issued or outstanding at June 30, 1998 and December
   31, 1997....................................................                       ---                       ---
Common stock, $0.01 par value, 30,000,000 shares authorized,
 14,138,791 and 13,891,465 shares issued and outstanding at
 June 30, 1998 and December 31, 1997, respectively.............                       141                       139
Additional paid-in capital.....................................                    80,285                    78,470
Retained earnings..............................................                    12,915                    13,060
                                                                                 --------                  --------
   Total stockholders' equity..................................                    93,341                    91,669
                                                                                 --------                  --------
                                                                                 $219,847                  $214,757
                                                                                 ========                  ========
</TABLE>



     See accompanying notes to condensed consolidated financial statements

                                       4
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY

                CONDENSED CONSOLIDATED STATEMENTS OF OPERATIONS
                                  (UNAUDITED)

             (Amounts in thousands, except per share information)

<TABLE>
<CAPTION>
                                                            Three Months Ended           Six Months Ended
                                                                 June 30,                    June 30,
                                                           --------------------        --------------------
                                                             1998        1997            1998        1997
                                                           --------    --------        --------    --------
REVENUES:
<S>                                                       <C>         <C>             <C>         <C>
 Oil and gas revenues.............................         $ 20,306    $ 22,729        $ 39,730    $ 29,221
 Gas plant operations, net........................              321         516             547       1,278
 Interest and other income........................              326         268             513         309
                                                           --------    --------        --------    --------
                                                             20,953      23,513          40,790      30,808
                                                           --------    --------        --------    --------
 
COST AND EXPENSES:
 Production expenses..............................            6,760       7,066          12,893       8,376
 Depreciation, depletion and amortization.........            8,821       8,929          17,559      11,407
 General and administrative expenses..............            1,997       1,695           4,608       2,590
 Interest expense.................................            2,976       3,648           5,955       3,957
                                                           --------    --------        --------    --------
                                                             20,554      21,338          41,015      26,330
                                                           --------    --------        --------    --------
 
Income (loss) before income taxes.................              399       2,175            (225)      4,478
 
Provision (benefit) for income taxes..............              152         726             (80)      1,567
                                                           --------    --------        --------    --------
 
NET INCOME (LOSS).................................         $    247    $  1,449        $   (145)   $  2,911
                                                           ========    ========        ========    ========
 
Net income (loss) per share.......................         $   0.02    $   0.11        $  (0.01)   $   0.26
                                                           ========    ========        ========    ========
 
Net income (loss) per share-diluted...............         $   0.02    $   0.11        $  (0.01)   $   0.26
                                                           ========    ========        ========    ========
Weighted average common shares
 outstanding......................................           14,138      13,425          14,094      11,302
                                                           ========    ========        ========    ========
Weighted average common shares outstanding diluted
                                                             14,416      13,834          14,094      11,408
                                                           ========    ========        ========    ========
</TABLE>

     See accompanying notes to condensed consolidated financial statements

                                       5
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY
                                        
                CONDENSED CONSOLIDATED STATEMENTS OF CASH FLOWS
                                  (UNAUDITED)
                                        
                            (Amounts in thousands)

<TABLE>
<CAPTION>
                                                                                  Six Months Ended
                                                                                       June 30,
                                                                         -----------------------------------
                                                                           1998                      1997
                                                                         -----------------------------------
<S>                                                                     <C>                       <C>
CASH FLOWS FROM OPERATING ACTIVITIES:
NET INCOME (LOSS)....................................................    $   (145)                 $   2,911
Adjustments to reconcile net income (loss) to net cash
 provided by operating activities:
     Depreciation, depletion and amortization........................      17,990                     11,736
     Deferred income taxes...........................................        (775)                     1,612
                                                                         --------                  ---------
                                                                           17,070                     16,259
Change in assets and liabilities:
 Accounts receivable and accrued revenue.............................       4,414                      4,247
 Accounts payable and other liabilities..............................       2,092                      3,439
 Due from (to) related parties.......................................       7,056                      4,915
 Other...............................................................        (839)                    (6,682)
                                                                         --------                  ---------
 NET CASH FLOWS PROVIDED BY OPERATING ACTIVITIES.....................      29,793                     22,178
                                                                         --------                  ---------
CASH FLOWS FROM INVESTING ACTIVITIES:
 Acquisitions of oil and gas properties, including working
    capital acquired.................................................         ---                   (149,914)
 Additions to properties and facilities..............................     (23,739)                   (13,508)
 Proceeds from sales of properties...................................         663                     17,110
 NET CASH FLOWS USED IN INVESTING ACTIVITIES.........................     (23,076)                  (146,312)
                                                                         --------                  ---------
CASH FLOWS FROM FINANCING ACTIVITIES:
 Proceeds from borrowings............................................         ---                    144,300
 Net proceeds from issuance of common stock..........................         ---                     34,725
 Payments of long-term debt..........................................         ---                    (40,000)
 Exercise of stock options...........................................       1,502                        ---
                                                                         --------                  ---------
 NET CASH FLOWS PROVIDED BY FINANCING ACTIVITIES.....................       1,502                    139,025
                                                                         --------                  ---------
 
 Net increase in cash and cash equivalents...........................       8,219                     14,891
 
 Cash and cash equivalents at beginning of period....................       2,699                        450
                                                                         --------                  ---------
CASH AND CASH EQUIVALENTS AT END OF PERIOD...........................    $ 10,918                  $  15,341
                                                                         ========                  =========
</TABLE>

     See accompanying notes to condensed consolidated financial statements

                                       6
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY

          CONDENSED CONSOLIDATED STATEMENTS OF CASH FLOWS (CONTINUED)
                                  (UNAUDITED)

                            (Amounts in thousands)

<TABLE>
<CAPTION>
                                                                                  Six Months Ended
                                                                                       June 30,
                                                                         -----------------------------------
                                                                           1998                      1997
                                                                         -----------------------------------
<S>                                                                    <C>                       <C>
SUPPLEMENTAL DISCLOSURES OF CASH FLOW INFORMATION:
 
Cash paid during the period for:
 Interest....................................................            $  5,592                  $   1,182
 
 Income taxes................................................            $  1,204                  $     135
</TABLE>



     See accompanying notes to condensed consolidated financial statements

                                       7
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY

             NOTES TO CONDENSED CONSOLIDATED FINANCIAL STATEMENTS
                                  (UNAUDITED)

1.   SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES

     The accompanying unaudited condensed consolidated financial statements have
     been prepared in accordance with instructions to Form 10-Q and, therefore,
     do not include all disclosures required by generally accepted accounting
     principles.  However, in the opinion of management, these statements
     include all adjustments, which are of a normal recurring nature, necessary
     to present fairly the financial position at June 30, 1998 and December 31,
     1997, and the results of operations and changes in cash flows for the
     periods ended June 30, 1998 and 1997.  These financial statements should be
     read in conjunction with the consolidated financial statements and notes to
     the consolidated financial statements in the December 31, 1997 Form 10-K of
     Bellwether Exploration Company ("the Company") that was filed with the
     Securities and Exchange Commission on March 27, 1998.

     Certain reclassifications of prior period statements have been made to
     conform with current reporting practices.

     In order to prepare these financial statements in conformity with generally
     accepted accounting principles, management of the Company has made a number
     of estimates and assumptions relating to the reporting of assets and
     liabilities, the disclosure of contingent assets and liabilities, and
     reserve information.  Actual results could differ from those estimates.

2.   ACQUISITIONS

     On April 9 and 15, 1997, the Company closed acquisitions of oil and gas
     properties (the "Partnership Transactions"), totaling $145.2 million
     (inclusive of working capital acquired of $13.9 million), from certain
     partnerships and other entities managed or sponsored by Torch Energy
     Advisors Incorporated ("Torch").  The acquisitions were financed by the
     sale of 4.4 million shares of common stock, the sale of $100.0 million of
     10-7/8% senior subordinated notes due in 2007 and borrowings under the
     Company's senior unsecured revolving credit facility.

     The following table presents the unaudited pro forma results of operations
     as if the Partnership Transactions had occurred on January 1, 1997.  The
     Partnership Transactions were accounted for as purchases, and their results
     of operations are included in the Company's results of operations from the
     date of acquisition.  The Company's pro forma results are based on
     assumptions and estimates and are not necessarily indicative of the
     Company's results of operations in the future or such results had the
     transaction occurred as of January 1, 1997 (in thousands, except earnings
     per share).

                                       8
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY

       NOTES TO CONDENSED CONSOLIDATED FINANCIAL STATEMENTS (CONTINUED)
                                  (UNAUDITED)

                                                       (UNAUDITED)
                                                    ----------------
                                                    SIX MONTHS ENDED
                                                      JUNE 30, 1997
                                                    ----------------
 
Revenues............................................... $ 57,073
Expenses...............................................   41,408
                                                        --------
Income before income taxes.............................   15,665
Income taxes...........................................    5,706
                                                        --------
Net earnings........................................... $  9,959
                                                        ========
Net earnings per common share.......................... $   0.72
                                                        ========
Net earnings per common share-diluted.................. $   0.72
                                                        ========

3.   LONG TERM DEBT

     In April 1997, the Company entered into a senior unsecured revolving
     credit facility ("Senior Credit Facility") in an amount up to $90.0
     million, with an initial borrowing base of $90.0 million to be redetermined
     annually, and a maturity date of March 31, 2002.  The Company may elect an
     interest rate based either on a margin plus LIBOR or the higher of the
     prime rate or the sum of  1/2 of 1% plus the Federal Funds Rate.  For LIBOR
     borrowings, the interest rate will vary from LIBOR plus 0.875% to LIBOR
     plus 1.25% based upon the borrowing base usage.  In connection with the
     acquisition of oil and gas properties, $33.3 million was drawn under this
     facility ($22 million of which was used to retire outstandings under the
     previous bank credit facility).  As of June 30, 1998 the borrowing base was
     $75 million and there were no balances outstanding under the Senior Credit
     Facility.

     The Senior Credit Facility contains various covenants including certain
     required financial measurements for current ratio, consolidated tangible
     net worth and interest coverage ratio.  In addition, the Senior Credit
     Facility includes certain limitations on restricted payments, dividends,
     incurrence of additional funded indebtedness and asset sales.

     In April 1997, the Company issued $100.0 million of 10-7/8% senior
     subordinated notes ("Notes") that mature April 1, 2007.  Interest on the
     Notes is payable semi-annually on April 1 and October 1. The Notes are
     guaranteed by the Company's wholly-owned subsidiaries, Odyssey Petroleum
     Company, Black Hawk Oil Company and 1989-I TEAI Limited Partnership.  The
     Notes contain certain covenants, including limitations on indebtedness,
     liens, dividends and other payment restrictions affecting restricted
     subsidiaries, issuance and sales of restricted subsidiary stock,
     dispositions of proceeds of asset sales and restrictions on mergers and
     consolidations or sales of assets.

4.   NEW ACCOUNTING PRONOUNCEMENTS

     Effective December 1997, the Company retroactively adopted Statement of
     Financial Accounting Standards No. 128, "Earnings per Share" ("SFAS 128").
     SFAS 128 introduces the concept of basic earnings per share, which
     represents net income divided by the weighted average common shares
     outstanding  without the dilutive effects of common stock equivalents
     (options, warrants, etc.).

                                       9
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY

       NOTES TO CONDENSED CONSOLIDATED FINANCIAL STATEMENTS (CONTINUED)
                                  (UNAUDITED)
                                        

     Additionally, SFAS No. 128 replaces fully diluted EPS with diluted EPS.
     Diluted EPS reflects the potential dilution that could occur if securities
     or other contracts to issue common stock were exercised or converted into
     common stock or resulted in the issuance of common stock that then shared
     in the earnings of the entity.  The Company's dilutive securities include
     stock options and warrants.  The assumed conversion of these securities is
     anti-dilutive for a period if the option or warrant exercise price exceeds
     the average market price for the periods.  In accordance with SFAS No. 128,
     the Company retroactively restated all prior period EPS data (including
     interim EPS) included in these financial statements and footnotes.  The
     impact of adopting SFAS 128 is immaterial.  SFAS No. 128 also requires a
     reconciliation of the numerator and denominator of the basic EPS
     computation to the numerator and denominator of the diluted EPS
     computation.  For the six months ended June 30, 1998, diluted earnings per
     common share are not calculated below since the issuance or conversion of
     additional securities would have an anti-dilutive effect.

             SFAS NO. 128 RECONCILIATION  (AMOUNTS IN THOUSANDS):
                                        
<TABLE>
<CAPTION>
                                             For the Six Months Ended                   For the Six Months Ended
                                                   June 30, 1998                              June 30, 1997
                                     -----------------------------------------     --------------------------------------
                                        Income         Shares        Per Share       Income        Shares      Per Share
                                     (Numerator)   (Denominator)      Amount       (Numerator)  (Denominator)    Amount
                                     -----------   -------------     ---------     -----------  -------------  ----------
 
EARNINGS (LOSS) PER COMMON SHARE:
<S>                                   <C>             <C>            <C>            <C>            <C>         <C>
Income (loss) available to common
 stockholders...................       $ (145)         14,094         $ (0.01)       $ 2,911        11,302       $  .26
                                                                      =======                                    ======
 
EFFECT OF DILUTIVE SECURITIES:
Options and Warrants............       $  ---             ---                        $   ---           106
                                       ------          ------                        -------        ------
 
EARNINGS (LOSS) PER COMMON
 SHARE-DILUTED:
Income (loss) available to common
 stockholders and assumed
 conversions....................       $ (145)         14,094         $ (0.01)       $ 2,911        11,408       $  .26
                                       ======          ======         =======        =======        ======       ======
</TABLE>

     In June 1998, the FASB issued SFAS No. 133, "Accounting for Derivative
     Instruments and Hedging Activities."  This statement establishes standards
     of accounting for and disclosures of derivative instruments and hedging
     activities.  This statement is effective for fiscal years beginning after
     June 15, 1999.  The Company has not yet determined the impact of this
     statement on the Company's financial condition or results of operations.

                                       10
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY

       NOTES TO CONDENSED CONSOLIDATED FINANCIAL STATEMENTS (CONTINUED)
                                  (UNAUDITED)

5.   NATURAL GAS AND CRUDE OIL HEDGING

     Commodity derivatives utilized as hedges include swap contracts. In order
     to qualify as a hedge, price movements in the underlying commodity
     derivative must be sufficiently correlated with the hedged commodity.
     Settlement of gains and losses on price swap contracts are realized
     monthly, generally based upon the difference between the contract price and
     the average closing New York Mercantile Exchange ("NYMEX") price and are
     reported as a component of oil and gas revenues and operating cash flows in
     the period realized. Gains and losses attributable to the termination of a
     swap contract are deferred on the balance sheet and recognized in revenue
     when the hedged crude oil and natural gas is sold. There were no such
     deferred gains or losses at June 30, 1998 or 1997.

     Oil and gas revenues increased $438,000 and $962,000, in the three and six
     months ended June 30, 1998, respectively, decreased revenues by $212,000 in
     the three month period in 1997, and increased revenues by $10,000 in the
     six month period of 1997 as a result of such hedging activity.

                                       11
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY

ITEM 2.        Management's Discussion and Analysis of Financial
                      Condition and Results of Operations

Liquidity and Capital Resources

The Company's strategy is to maximize long-term shareholder value through
aggressive growth in reserves and cash flow using advanced technologies,
implementation of a low cost structure and maintenance of a capital structure
supportive of growth.  The Company intends to apply an integrated
interdisciplinary team approach to a balanced program of strategic acquisitions
of producing oil and gas properties and an increased emphasis on  technology
driven development and exploration activities.  The funding of these activities
has historically been provided by operating cash flows, bank financing, equity
placements and sale of non-core assets. The Company invested $23.7 million in
oil and gas properties for the six months ended June 30, 1998 versus $13.5
million in 1997. Cash flows from operations before changes in assets and
liabilities were $17.1 million for the six months ended June 30, 1998 compared
to $16.3 million provided by operating activities in the same period of 1997.
At June 30, 1998, the Company had $75 million of available debt capacity under
the Senior Credit Facility.

Partnership Transactions

In April 1997, the Company purchased oil and gas properties and $13.9 million of
working capital from affiliates of Torch for an adjusted purchase price at
closing of $141.8 million, plus a contingent payment of $3.4 million, the amount
of which was based on 1997 gas prices.  The acquisitions were recorded effective
April 1, 1997 and the operations of the Company include the Partnership
Transactions from that date.  The Partnership Transactions were financed with
$34.1 million of the net of proceeds of a Common Stock offering, $97.0 million
from the net proceeds of 10 7/8% Senior Subordinated Notes due 2007 (the
"Offerings") and borrowings under the Senior Credit Facility.  In addition,
Torch was issued 150,000 shares of the Company's common stock and a warrant to
purchase an additional 100,000 shares at $9.90 per share for advisory services
rendered in connection with the Partnership Transactions.  The warrant and
shares were valued at $1.5 million and recorded as a cost of the Partnership
Transactions.

Change in Fiscal Year

Effective July 1, 1997 the Company changed its fiscal year to the calendar year.
As a result, the Company reported a six month transition period ended December
31, 1997.

Fiscal 1998 Capital Expenditures

During fiscal 1998, the Company anticipates investing approximately $42.0
million, primarily for development and exploratory drilling activities and
leasehold and seismic acquisitions.  The Company believes its cash flow provided
by operating activities and the proceeds from credit facilities will be
sufficient to meet these projected capital investments (See Notes 2 and 3 of the
Notes to Condensed Consolidated Financial Statements).  The Company continues to
seek acquisition opportunities and the consummation of such a transaction  will
directly impact anticipated capital expenditures.

                                       12
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY

               MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL
                CONDITION AND RESULTS OF OPERATIONS (CONTINUED)

Gas Balancing

It is customary in the industry for various working interest partners to sell
more or less than their entitled share of natural gas.  The settlement or
disposition of existing gas balancing positions is not anticipated to materially
impact the financial condition of the Company.

Derivative Financial Instruments

The Company periodically uses derivative financial instruments to manage oil and
gas price risk.  The Company has  current contracts to hedge a total of
7,158,000 MMBTU of gas during the months of July through November 1998 at a
weighted average NYMEX quoted price of $2.33 per MMBTU.  In addition, the
Company has sold calls options on 1,000 barrels of oil per day for the months of
July through December 1998 at a strike price of $18.50 for a premium of $1.00
per barrel.  Such call options do not qualify as hedges  for accounting purposes
and, therefore, will be marked to market.

Oil and Gas Property Accounting

The Company utilizes the full cost method of accounting for its investment in
oil and gas properties.  Under this method of accounting, all costs of
acquisition, exploration and development of oil and gas reserves are capitalized
as incurred.  To the extent that capitalized costs of oil and gas properties,
net of accumulated depreciation, depletion and amortization, exceed the
discounted future net revenues of proved oil and gas reserves net of deferred
taxes, such excess capitalized costs would be charged to operations.  While no
such charges to operations were required at June 30, 1998 or 1997, the
continuing decline in oil prices could result in discounted future net revenues
below the capitalized costs of the Company's oil and gas properties.  In such
event, a provision for impairment of oil and gas properties could be required.

                                       13
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY

               MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL
                CONDITION AND RESULTS OF OPERATIONS (CONTINUED)
                                        
Results of Operations

The following table sets forth certain operating information of the Company for
the periods presented:
<TABLE>
<CAPTION>
                                                             Three Months Ended              Six Months Ended
                                                                  June 30,                      June 30,
                                                           ----------------------        -----------------------
                                                             1998          1997            1998           1997
                                                           --------      --------        --------       --------
<S>                                                        <C>           <C>            <C>            <C>
Production:
  Oil and condensate (MBBLs)......................             605           633            1,177           711
  Natural gas (MMCF)..............................           6,025         5,993           11,756         7,738
 
Average sales price: (1)
  Oil and condensate (per BBL)....................         $ 11.29       $ 15.94         $  11.93       $ 16.52
  Natural gas  (per MCF)..........................         $  2.17       $  2.14         $   2.10       $  2.26
 
Average costs:
  Production expenses (per BOE)...................         $  4.21       $  4.33         $   4.11       $  4.19
  General and administrative expense
     (per BOE)(2).................................         $  1.24       $  1.04         $   1.47       $  1.29
  Depreciation, depletion and amortization
     (per BOE)(3).................................         $  5.42       $  5.34         $   5.42       $  5.48
</TABLE>

(1)  Average sales prices exclude the effect of hedges, which increased revenues
     by $438,000 and $962,000 in the three and six month periods in 1998,
     respectively, decreased revenues by $213,000 in the three month period in
     1997 and increased revenues $10,000 in the six month period in 1997.
(2)  Exclusive of general and administrative expenses allocated to gas plant and
     gas gathering facilities.
(3)  Excludes depreciation, depletion and amortization on gas plants of $102,000
     and $561,000 in the three and six month periods in 1998, respectively and
     by $221,000 and $442,000 in the three and six months periods in 1997,
     respectively.

Three Months Ended June 30, 1998 and 1997

Oil and gas revenues for the three months ended June 30, 1998 were $20.3
million, as compared to $22.7 million for the respective period in 1997.  The
11% decrease in oil and gas revenues is directly related to the decline in oil
prices for the three month period ended June 30, 1998.  Oil prices averaged
$11.29 per barrel in the three month period ended June 30, 1998 as compared to
$15.94 per barrel in the comparable period of 1997.  This represents a 29%
decline in oil prices and translates into a $2.8 million decrease in oil
revenues.

Production from producing properties sold June 30, 1997 for $24 million has
essentially been replaced by production from exploration and development
drilling increases from recompletions and workovers of existing wells.  As a
result production volumes have remained flat at 605,000 and 633,000 barrels for
the three month periods ended June 30, 1998 and 1997, respectively, and
6,025,000 and 5,993,000 million cubic feet (Mcf) for the three month periods
ended June 30, 1998 and 1997, respectively.  Gas prices increased $.03 per Mcf
to $2.17 per Mcf for the three month period ended June 30, 1998 as compared to
$2.14 per Mcf for the comparable period of 1997.

                                       14
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY

               MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL
                CONDITION AND RESULTS OF OPERATIONS (CONTINUED)
                                        

Net gas plant operating profit was $321,000 in the three months ended June 30,
1998 and $516,000 in the same period of 1997.  Throughput was lower than
anticipated due to reduced production volumes from the North Unit SACROC.
Tertiary recovery projects which have been expanded to increase such North Unit
SACROC production have begun to increase the Snyder gas plant throughput.

Production expenses for the three months ended June 30, 1998 totaled $6.8
million, or 4% below the $7.1 million for the three months ended June 30, 1997.
Depreciation, depletion and amortization was $8.8 million for the three months
ended June 30, 1998 and $8.9 million for the three month period ended June 30,
1997.  General and administrative expenses totaled $2.0 million in the three
months ended June 30, 1998 as compared to $1.7 million for the comparable period
of fiscal 1997.

Interest expense decreased to $3.0 million for the three months ended June 30,
1998 from $3.6 million in the same period of 1997 as a result of lower average
outstandings in 1998 on Bellwether's credit facility as compared to 1997.

The provision for federal and state income taxes for the three months ended June
30, 1998 and 1997 are based upon a 38%, and 33% effective tax rate,
respectively.

Net income for the three months ended June 30, 1998 is approximately $.2 million
as compared to net income of $1.4 million for the respective period of 1997.

Six Months Ended June 30, 1998 and 1997

Oil and gas revenues for the six months ended June 30, 1998 were $39.7 million,
as compared to $29.2 million for the respective period in 1997.  The increase in
revenues of 36% is attributable primarily to the 1.1 million equivalent barrel
increase in production from properties acquired in the Partnership Transactions.
Partially offsetting the revenue increases were unfavorable price variances.
Oil prices have declined 28% from $16.52 per barrel in the six months ended June
30, 1997 to $11.93 per barrel in the current period.  Natural gas prices
declined 7% from $2.26 per Mcf in the six months ended June 30, 1997 to $2.10
per Mcf for the six months ended June 30, 1998.

Net gas plant operating profit was $547,000 in the six months ended June 30,
1998 and $1,278,000 in the same period of 1997.  The Snyder gas plant was
temporarily shut in 5 days in January for work attributable to a small accident
in an adjacent plant and 3 days in February to tie in new equipment.  In
addition, throughput was lower than anticipated due to reduced production
volumes from the North Unit SACROC.  Tertiary recovery projects which have been
expanded to increase such North Unit SACROC production have begun to increase
the Snyder gas plant throughput.

                                       15
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY

               MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL
                CONDITION AND RESULTS OF OPERATIONS (CONTINUED)
                                        
Production expenses for the six months ended June 30, 1998 totaled $12.9
million, or 54% over the $8.4 million for the six months ended June 30, 1997,
due primarily to the effect of the Partnership Transactions.

Depreciation, depletion and amortization was $17.6 million for the six months
ended June 30, 1998.  This amount reflects a 54% increase over the $11.4 million
recorded in the comparable period in 1997  resulting from a 57% increase in oil
and gas production  attributable primarily to  the Partnership Transactions.

General and administrative expenses totaled $4.6 million in the six months ended
June 30, 1998 as compared to $2.6 million for the comparable period of fiscal
1997 reflecting higher management fees and fixed costs resulting from the
increase in assets and cash flows.  In addition, $.3 million of costs were
incurred in March 1998 as a result of the Company closing its Dallas exploration
office.

Interest expense increased to $6.0 million for the six months ended June 30,
1998 from $4.0 million in the same period of 1997 due to debt incurred in
financing of the Partnership Transactions in April 1997.

The provision (benefit) for federal and state income taxes for the six months
ended June 30, 1998 and 1997 are  based upon a 36% and 35% effective tax rate,
respectively.

Net loss for the six months ended June 30, 1998 is approximately $145,000 as
compared to net income of $2.9 million for the respective period of 1997.

Year 2000

The Company's technical services provider, Torch, plans to upgrade all major
financial and administrative systems to ensure that such systems are Year 2000
compliant.  The Year 2000 problem results from data storage of date information
truncating to two places, i.e. 1998 stored as 98.  Currently all programs
storing year information as such recognize the year 2000 as 00 (or 1900).  Torch
is approaching the Year 2000 project in three steps:  1) awareness and
assessment, 2) conversion or implementation and 3) validation and testing.
Management does not believe that costs incurred to address the Year 2000 issue
with respect to its financial and administrative systems will have a material
impact on the Company's future financial results or operations.  At this time,
the Company is uncertain as to the impact that the Year 2000 issue will have on
its operational information systems and as to how the Company will be indirectly
affected by the impact that the Year 2000 issue will have on the companies with
which it conducts business.

                                       16
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY

               MANAGEMENT'S DISCUSSION AND ANALYSIS OF FINANCIAL
                CONDITION AND RESULTS OF OPERATIONS (CONTINUED)
                                        

Forward Looking Statements

This Form 10-Q contains "forward looking statements" within the meaning of
Section 27A of the Securities Act of 1933, as amended and Section 21E of the
Securities Exchange Act of 1934, as amended.  All statements other than
statements of historical facts included herein, including without limitation,
statements under "Management's Discussion and Analysis of Financial Condition
and Results of Operations" and in the notes to the financial statements
regarding the Company's financial position, capital budget, intent to acquire
oil and gas properties, estimated quantities and net present values of reserves,
business strategy, plans and objectives of management of the Company for future
operations, and the effect of gas balancing, are forward-looking statements.
There can be no assurances that such forward looking statements will prove to
have been correct.  Important factors that could cause actual results to differ
materially from the Company's expectations ("Cautionary Statements") include the
volatility of oil and gas prices, operating hazards, government regulations,
exploration risks and other factors described in the Company's Form 10-K filed
with the Securities and Exchange Commission.  All subsequent written and oral
forward-looking statements attributable to the Company or persons acting on its
behalf are expressly qualified by the Cautionary Statements.

                                       17
<PAGE>
 
                        BELLWETHER EXPLORATION COMPANY

                          PART II.  OTHER INFORMATION

ITEM 1.   LEGAL PROCEEDINGS

              None.

ITEM 2.   CHANGES IN SECURITIES

              None.

ITEM 3.   DEFAULTS UPON SENIOR SECURITIES

              None.

ITEM 4.   SUBMISSION OF MATTERS TO A VOTE OF SECURITY HOLDERS

          A Proxy statement was sent to all shareholders of record as of April
          9, 1998 for the following matters which were voted on at the annual
          meeting of shareholders held on May 22, 1998:

          1.  J.P. Bryan, Habib Kairouz, A.K. McLanahan, Vincent H. Buckley, Dr.
              Jack Birks, and Townes Pressler were elected as directors with
              10,138,197 shares voting in favor, 54,166 shares abstaining and no
              shares voting against. J. Darby Sere' was elected with 10,135,306
              shares voting in favor, 43,044 shares abstaining and no shares
              voting against.

          2.  The shareholders approved the proposal to ratify the selection of
              KPMG Peat Marwick LLP as the Company's independent auditors for
              the fiscal year ending December 31, 1998 with a total of
              10,135,082 shares voting in favor, a total of 57,057 shares voting
              against and a total of 13,937 shares abstaining.

          No other matters were brought up at the meeting.

          A copy of the Proxy Statement was filed with the Securities and
          Exchange Commission on April 24, 1998 and is incorporated herein by
          reference.

ITEM 5.   OTHER INFORMATION

              None.

                                       18
<PAGE>
 
ITEM 6.   EXHIBITS AND REPORTS ON FORM 8-K

          a.  Exhibits
                 The following exhibits are filed with this Form 10-Q and they
                 are identified by the number indicated.

                 10.1  Employment contract dated June 1, 1998 between the
                       Company and J. Darby Sere'

                 10.2  Employment contract dated June 1, 1998 between the
                       Company and William C. Rankin

                 27    Financial Data Schedule

          b.  Reports on Form 8-K.
              None.

                                       19
<PAGE>
 
                                  SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934, the
Registrant has duly caused this report to be signed on its behalf by the
undersigned, thereunto duly authorized.

                           BELLWETHER EXPLORATION COMPANY
                           ------------------------------
                                    (Registrant)


Date:  August 13, 1998     By: /s/ J. Darby Sere'
                               ------------------------------
                               J. Darby Sere'
                               Chairman and Chief Executive Officer


Date:  August 13, 1998     By: /s/ William C. Rankin
                               ------------------------------
                               William C. Rankin
                               Senior Vice President and Chief Financial Officer

                                       20

<PAGE>
 
                                                                    EXHIBIT 10.1

                              EMPLOYMENT AGREEMENT

     This Employment Agreement (this "Agreement") entered into effective as of
June 1, 1998, by and between J. Darby Sere (the "Executive"), and Bellwether
Exploration Company, a Delaware corporation having its principal place of
business at 1331 Lamar, Suite 1455, Houston, Texas 77010-3039 (the "Company");

                              W I T N E S S E T H:
                              --------------------

     WHEREAS, the Company wishes to employ the Executive as the President and
Chief Executive Officer and to perform services incident to such position for
the Company, and the Executive wishes to be so employed by the Company, all upon
the terms and conditions hereinafter set forth;

     NOW THEREFORE, in consideration of the premises and mutual covenants and
obligations herein set forth and for other good and valuable consideration, the
receipt, sufficiency and adequacy of which is hereby acknowledged, accepted and
agreed to, the parties hereto, intending to be legally bound, hereby agree as
follows:

     1.   Employment and Term.  The Company hereby employs the Executive to
serve as the President and Chief Executive Officer of the Company. The term of
this Agreement (the "term of this Agreement") shall be effective as of the date
first above written and shall terminate thirty-six (36) months from the date
hereof (the "Termination Date"), unless earlier terminated by either party
hereto in accordance with the provisions of Section 5 hereof; provided, however,
that upon the occurrence of a Change of Control (as such term is defined in
Section 5(g) hereof ), the Termination Date shall automatically extend to a date
36 months following the date of such Change in Control without any further
action by the Company or the Executive.  During the term of this Agreement, the
terms of employment shall be as set forth herein unless modified by the
Executive and the Company in accordance with the provisions of Section 11
hereof. The Executive hereby agrees to accept such employment and to perform the
services specified herein, all upon the terms and conditions hereinafter set
forth.

     2.   Position and Responsibilities.  The Executive shall serve as the
President and Chief Executive Officer of the Company and shall report to, and be
subject to the general direction and control of, the Board of Directors of the
Company.  The Executive shall have other obligations, duties, authority and
power to do all acts and things as are customarily done by a person holding the
same or equivalent position or performing duties similar to those to be
performed by executives in corporations of similar size to the Company and shall
perform such managerial duties and responsibilities for the Company as may
reasonably be assigned to him by the Board of Directors of the Company and, at
no additional remuneration, shall serve in such other comparable positions with
any subsidiary corporation of the Company, or any partnership, limited liability
company or other entity in which the Company has an interest (herein
collectively called "affiliates"), as the Board of Directors of the Company may
from time to time determine. Unless otherwise agreed to by the
<PAGE>
 
Executive, the Executive shall be based at the Company's principal executive
offices located in the greater Houston, Texas metropolitan area.

     3.   Extent of Service.  The Executive shall devote his full business time
and attention to the business of the Company, and, except as may be specifically
permitted by the Company, shall not be engaged in any other business activity
during the term of this Agreement. The foregoing shall not be construed as
preventing the Executive from making passive investments in other businesses or
enterprises, provided, however, that such investments will not require services
on the part of the Executive which would in any way impair the performance of
his duties under this Agreement.

     4.   Compensation.

          (a) In consideration of the services to be rendered by the Executive
to the Company, the Company will pay the Executive a salary ("Salary") of
$228,000 per year during the Term of this Agreement. Such Salary shall be
payable in conformity with the Company's prevailing practice for executives'
compensation as such practice shall be established or modified from time to
time. Salary payments shall be subject to all applicable federal and state
withholding, payroll and other taxes. From time to time during the Term of this
Agreement, the amount of the Executive's Salary may be increased by, and at the
sole discretion of, the Compensation Committee of the Company's Board of
Directors, which shall review the Executive's Salary no less regularly than
annually.

          (b) Any cash or stock bonuses paid to the Executive shall be based on
performance and be at the sole discretion of the Compensation Committee of the
Company's Board of Directors.

          (c) The Company agrees to reimburse the Executive for the monthly dues
incurred by him in maintaining a membership in the following clubs: The
Petroleum Club of Houston, and The Houston Metropolitan Racquet Club/Houston
Society.

          (d) During the term of this Agreement, the Company shall pay or
reimburse the Executive for all reasonable out-of-pocket expenses for travel,
meals, hotel accommodations, entertainment and the like incurred by him in
connection with the business of the Company upon submission by him of an
appropriate statement documenting such expenses as required by the Internal
Revenue Code of 1986, as amended (the "Code").

          (e) The Executive shall be entitled to five weeks of paid vacation
during each calendar year during the term of this Agreement. Vacation shall
accrue on the first day of each calendar year. The Company shall pay the
Executive for any unused portion of vacation and any such unused portion of
vacation shall not be carried forward to the next year.

          (f) During the term of this Agreement, the Company shall continue to
furnish the Executive with his current company car or furnish the Executive with
a lease car equivalent to the

                                       2
<PAGE>
 
car presently owned by the Company and used  by the Executive.  The Company
shall pay the cost of insurance for such car and reimburse the Executive for the
reasonable costs and expenses incurred in connection with the operation or
maintenance of such automobile.

          (g) During the term of this Agreement, the Company shall continue to
maintain and pay its share of the cost of the split dollar life insurance policy
currently provided to the Executive and shall continue, at its sole cost and
expense, the individual disability insurance currently provided to the
Executive. In addition, the Executive shall be entitled to participate in and to
receive all rights and benefits under any life, disability, medical and dental,
health and accident and profit sharing or deferred compensation plans and such
other plan or plans as may be implemented by the Company during the term of this
Agreement. The Executive shall also be entitled to participate in and to receive
all rights and benefits under any plan or program adopted by the Company for any
other or group of other executive employees of the Company, including without
limitation, the rights and benefits under the directors' and officers' liability
insurance currently in place under the Company's insurance program for the
directors and officers of the Company.

     5.   Termination.

          (a) Termination by Company; Discharge for Cause.  The Company shall be
entitled to terminate this Agreement and the Executive's employment with the
Company at any time and for whatever reason; or at any time for "Cause" (as
defined below) by written notice to the Executive. Termination of the
Executive's employment by the Company shall constitute a termination for "Cause"
if such termination is for one or more of the following reasons: (i) the willful
failure or refusal of the Executive to render services to the Company in
accordance with his obligations under this Agreement, including, without
limitation, the failure or refusal of the Executive to comply with the work
rules, policies, procedures, and directives as established by the Board of
Directors and consistent with this Agreement; such failure or refusal to be
uncured and continuing for a period of not less than fifteen (15) days after
notice outlining the situation is given by the Company to the Executive; (ii)
the commission by the Executive of an act of fraud or embezzlement; (iii) the
commission by the Executive of any other action with the intent to injure the
Company; (iv) the Executive having been convicted of a felony or a crime
involving moral turpitude; (v) the Executive having misappropriated the property
of the Company; (vi) the Executive having engaged in personal misconduct which
materially injures the Company; or (vii) the Executive having wilfully violated
any law or regulation relating to the business of the Company which results in
material injury to the Company.  In the event of the Executive's termination by
the Company for Cause hereunder, the Executive shall be entitled to no severance
or other termination benefits except for any unpaid Salary accrued through the
date of termination. A termination of this Agreement by the Company without
Cause pursuant to this Section 5(a) shall entitle the Executive to the Severance
Payment and other benefits specified in Section 5(f) hereof.

          (b) Death.  If the Executive dies during the term of this Agreement
and while in the employ of the Company, this Agreement shall automatically
terminate and the Company shall

                                       3
<PAGE>
 
have no further obligation to the Executive or his estate except that the
Company shall pay to the Executive's estate that portion of his Salary and
benefits accrued through the date of death. All such payments to the Executive's
estate shall be made in the same manner and at the same time as the Executive's
Salary.

          (c) Disability.  If during the term of this Agreement, the Executive
shall be prevented from performing his duties hereunder by reason of disability,
then the Company, on 30 days' prior notice to the Executive, may terminate this
Agreement. For purposes of this Agreement, the Executive shall be deemed to have
become disabled when the Board of Directors of the Company, upon verification by
a physician designated by the Company, shall have determined that the Executive
has become physically or mentally unable (excluding infrequent and temporary
absences due to ordinary illness) to perform the essential functions of his
duties under this Agreement with reasonable accommodation.  In the event of a
termination pursuant to this paragraph (c), the Company shall be relieved of all
its obligations under this Agreement, except that the Company shall pay to the
Executive or his estate in the event of his subsequent death, that portion of
the Executive's Salary and benefits accrued through the date of such
termination. All such payments to the Executive or his estate shall be made in
the same manner and at the same time as his Salary and would have been paid to
him had he not become disabled.

          (d) Termination for Good Reason.  The Executive shall be entitled to
terminate this Agreement and his employment with the Company at any time upon
thirty (30) days written notice to the Company for "Good Reason" (as defined
below). The Executive's termination of employment shall be for "Good Reason" if
such termination is a result of any of the following events:

              (i) the Executive is assigned any responsibilities or duties
materially and adversely inconsistent with his position, duties,
responsibilities and status with the Company as in effect at the date of this
Agreement or as may be assigned to the Executive pursuant to Section 2 hereof,
or his title or offices as in effect at the date of this Agreement or as the
Executive may be appointed or elected to in accordance with Section 2 are
materially and adversely changed;

              (ii) there is a Change in Control of the Company;

              (iii) there is a reduction in the Salary (as such Salary shall
have been increased from time to time) payable to the Executive pursuant to
Section 4(a) hereof;

              (iv) failure by the Company or any successor to the Company or its
assets to continue to provide to the Executive any material benefit, bonus,
profit sharing, incentive, remuneration or compensation plan, stock ownership or
purchase plan, stock option plan, life insurance, disability plan, pension plan
or retirement plan in which the Executive was entitled to participate in as at
the date of this Agreement or subsequent thereto, or the taking by the Company
of any action that materially and adversely affects the Executive's
participation in or materially reduces his rights or benefits under or pursuant
to any such plan or the failure by the Company to

                                       4
<PAGE>
 
increase or improve such rights or benefits on a basis consistent with practices
in effect prior to the date of this Agreement or with practices implemented and
subsequent to the date of this Agreement with respect to the executive employees
of the Company generally, whichever is more favorable to the Executive, but
excluding such action that is required by law;

              (v) without Executive's consent, the Company requires the
Executive to relocate to any city or community other than one within the greater
Houston, Texas metropolitan area, except for required travel on the Company's
business to an extent substantially consistent with the Executive's business
obligations under this Agreement; or

              (vi) there is any material breach by the Company of any provision
of this Agreement.

              Upon the Executive's termination of this Agreement for Good
Reason, the Executive shall be entitled to the Severance Payment and other
benefits specified in Section 5(f) hereof.

          (e) Voluntary Termination.  Notwithstanding anything to the contrary
herein, the Executive shall be entitled to voluntarily terminate this Agreement
and his employment with the Company at his pleasure upon sixty (60) days written
notice to such effect. In such event, the Executive shall not be entitled to any
further compensation other than any unpaid Salary and benefits accrued through
the date of termination.  At the Company's option, the Company may pay to the
Executive the salary and benefits that the Executive would have received during
such sixty (60) day period in lieu of requiring the Executive to remain in the
employment of the Company for such sixty (60) day period.

          (f) Termination Benefits Upon Involuntary Termination or Termination
for Good Reason.  In the event that (i) the Company terminates this Agreement
and the Executive's employment with the Company for any reason other than for
Cause (as defined in Section 5(a) hereof) or the death or disability of the
Executive, or (ii) the Executive terminates this Agreement and his employment
with the Company for Good Reason (as set forth in Section 5(d) hereof), then the
Company shall pay the Executive, within thirty (30) days after the date of
termination, an amount (the "Severance Payment") equal to one and one-half (1-
1/2) times the sum of (x) the Executive's highest annual Salary during the last
two (2) years of employment immediately preceding the date of termination, plus
(y) the highest annual bonus paid to the Executive during such two-year period
(the "Severance Payment").  In addition, following other such termination, the
Executive shall be entitled to the following benefits (collectively, the
"Additional Benefits"):

              (i) immediate vesting of any of the Executive's options to
purchase securities of the Company which were not vested by their own terms on
the date of termination and the extension of the Executive's right to exercise
all the Executive's options to purchase securities of the Company for a period
equal to the lesser of (A) one year following the date of termination or (B) the
remaining term of the applicable option;

                                       5
<PAGE>
 
              (ii) immediate vesting and lapse of restrictions on any restricted
stock grants outstanding at the time of such termination;
 
              (iii) continued coverage, at the Company's cost, under the
Company's medical, dental and health benefits (but not life or disability
insurance) set forth in Section 3(g) hereof for a period of eighteen (18) months
from the date of termination;

              (iv) outplacement assistance in an amount not to exceed (15%) of
the Executive's annual Salary in effect on the date of a Change in Control;

              (v)  within 30 days following the date of termination and to the
extent permitted by law, the Company shall contribute to the Executive's 401(k)
or substitute equivalent plan an amount equal to the aggregate amount
contributed by the Executive to such plan during the year in which the
termination occurs plus any profit sharing contribution in a proportionate
amount to the amount paid in the year prior to termination, and shall contribute
to the deferred compensation plan any matching contributions to which Executive
would have been entitled through the date of termination; and

              (vi)  an amount, in cash, equal to the sum of (A) any unreimbursed
expenses incurred by the Executive in the performance of his duties hereunder
through the date of termination, plus (B) any accrued and unused vacation time
or other unpaid benefits as of the date of termination.

              The parties agree that, because there can be no exact measure of
the damages which would occur to the Executive as a result of termination of
employment, such payments contemplated in this Section 5(f) shall be deemed to
constitute liquidated damages and not a penalty and the Company agrees that the
Executive shall not be required to mitigate his damages. The termination
compensation in this Section 5(f) shall be paid only if the Executive executes a
termination agreement releasing all legally waivable claims arising from the
Executive's employment.

          (g)  Termination and Benefits upon a Change in Control.  In the event
that (i) the Company terminates this Agreement and the Executive's employment
with the Company for any reason other than for Cause (as defined in Section 5(a)
hereof) or the death or disability of the Executive or (ii) the Executive
terminates this Agreement and his employment with the Company for Good Reason
(as defined in Section 5(d) hereof), within twenty four months following a
Change in Control (as defined in this Section 5(g)), then in lieu of the
Severance Payment contained in Section 5(f) hereof, the Company shall pay to the
Executive an amount equal to three (3) times the sum of:  (x) the Executive's
highest annual Salary during the last two (2) years immediately preceding the
termination, plus (y) the highest annual bonus paid to the Executive in such
period. In the event that the excise tax relating to "parachute payments" under
Section 280G of the Code applies to the Severance Payment, then the Company
shall pay the Executive an additional payment in an amount such that, after
payment of federal income taxes (but not the excise tax) on such additional
payment, the Executive retains an amount equal to the excise tax originally
imposed on

                                       6
<PAGE>
 
the Severance Payment.  The Executive shall also be entitled to receive the
Additional Benefits.  "Change of Control" means or shall be deemed to have
occurred if and when: (a) the acquisition, by whatever means (including without
limitation, amalgamation, consolidation, liquidation, arrangement or merger), by
a person (or two or more persons who in such acquisition have acted jointly or
in concert or intend to exercise jointly or in concert any voting rights
attaching to the securities acquired), directly or indirectly, of the beneficial
ownership of such number of voting securities or rights to voting securities of
the Company, which together with such person's then owned voting securities and
rights to voting securities, if any, represent (assuming the full exercise of
such rights to voting securities) more than 20% of the combined voting power of
the Company's then outstanding voting securities, together with the voting
securities that would be outstanding on the full exercise of the rights to
voting securities acquired and such person's previously owned rights to voting
securities; provided, however, that for purposes of this subsection (a), the
following acquisitions shall not constitute a Change in Control:  (A) any
acquisition directly from the Company, (B) any acquisition by the Company, or
(C) any acquisition by any employee benefit plan (or related trust) sponsored or
maintained by the Company; or (b) individuals who were members of the board of
directors of the Company immediately prior to a meeting of the shareholders of
the Company involving a contest for or on an item of business relating to the
election of directors shall not constitute a majority of the board of directors
following such election.

          (h) Survival.  Notwithstanding the termination of this Agreement under
this Section 5, the provisions of Sections 7 and 8 of this Agreement, and all
other provisions hereof which by their terms are to be performed following the
termination hereof shall survive such termination and be continuing obligations.

     6.   Consent and Waiver by Third Parties.  The Executive hereby represents
and warrants that he has obtained all necessary waivers and/or consents from
third parties as to enable him to accept employment with the Company on the
terms and conditions set forth herein and to execute and perform this Agreement
without being in conflict with any other agreement, obligations or understanding
with any such third party.

     7.   Confidential Information.  The Executive acknowledges that in the
course of his employment with the Company, he has received and will receive
access to confidential information of a special and unique value concerning the
Company and its business, including, without limitation, trade secrets, know-
how, lists of customers, employee records, books and records relating to
operations, costs of providing service and equipment, operating and maintenance
costs, pricing criteria and other confidential information and knowledge
concerning the business of the Company and its affiliates (hereinafter
collectively referred to as "information") which the Company desires to protect.
The Executive acknowledges that such information is confidential and the
protection of such confidential information against unauthorized use or
disclosure is of critical importance to the Company.  The Executive agrees that
he will not reveal such information to anyone outside the Company. The Executive
further agrees that during the term of this Agreement and thereafter he will not
use or disclose such information. Upon termination of his employment hereunder,
the Executive shall surrender to the Company all papers, documents, writings and
other property produced by him

                                       7
<PAGE>
 
or coming into his possession by or through his employment hereunder and
relating to the information referred to in this Section 7, and the Executive
agrees that all such materials will at all times remain the property of the
Company. The obligation of confidentiality, non-use and non-disclosure of know-
how set forth in this Section 7 shall not extend to know-how (i) which was in
the public domain prior to disclosure by the disclosing party, (ii) which comes
into the public domain other than through a breach of this Agreement, (iii)
which is disclosed to the Executive after the termination of this Agreement by a
third party having legitimate possession thereof and the unrestricted right to
make such disclosure, or (iv) which is necessarily disclosed in the course of
the Executive's performance of his duties to the Company as contemplated in this
Agreement.  The agreements in this Section 7 shall survive the termination of
this Agreement.

     8.   No Solicitation.

          To support the agreements contained in Section 7 hereof, from the date
hereof and for a  period of twelve (12) months after the Executive's employment
with the Company is terminated for any reason, the Executive shall not, either
directly or indirectly, through any person, firm, association or corporation
with which the Executive is now or may hereafter become associated, (i) hire,
employ, solicit or engage any then current employee of the Company or its
affiliates, or (ii) use in any competition, solicitation or marketing effort any
information as to which the Executive has a duty of confidential treatment under
paragraph 7 above.

     9.   Notices.  All notices, requests, consents and other communications
under this Agreement shall be in writing and shall be deemed to have been
delivered on the date personally delivered or on the date mailed, postage
prepaid, by certified mail, return receipt requested, or telegraphed and
confirmed if addressed to the respective parties as follows:

          If to the Executive:   J. Darby Sere
                                 3618 Robinhood
                                 Houston, Texas 77005

          If to the Company:     Bellwether Exploration Company
                                 1331 Lamar, Suite 1455
                                 Houston, Texas 77010-3039
                                 Attention: Chairman, Compensation Committee

Either party hereto may designate a different address by providing written
notice of such new address to the other party hereto.

     10.  Specific Performance.  The Executive acknowledges that a remedy at law
for any breach or attempted breach of Section 7 or 8 of this Agreement will be
inadequate, agrees that the Company shall be entitled to specific performance
and injunctive and other equitable relief in case of any such breach or
attempted breach, and further agrees to waive any requirement for the securing

                                       8
<PAGE>
 
or posting of any bond in connection with the obtaining of any such injunctive
or any other equitable relief.

     11.  Waivers and Modifications.   This Agreement may be modified, and the
rights and remedies of any provision hereof may be waived, only in accordance
with this Section 11. No modification or waiver by the Company shall be
effective without the consent of at least a majority of the Compensation
Committee of the Board of Directors then in office at the time of such
modification or waiver. No waiver by either party of any breach by the other or
any provision hereof shall be deemed to be a waiver of any later or other breach
thereof or as a waiver of any other provision of this Agreement. This Agreement
sets forth all of the terms of the understandings between the parties with
reference to the subject matter set forth herein and may not be waived, changed,
discharged or terminated orally or by any course of dealing between the parties,
but only by an instrument in writing signed by the party against whom any
waiver, change, discharge or termination is sought.

     12.  Governing Law.  This Agreement shall be construed in accordance with
the laws of the State of Texas.

     13.  Severability.  In case of one or more of the provisions contained in
this Agreement for any reason shall be held to be invalid, illegal or
unenforceable in any respect, such invalidity, illegality or unenforceability
shall not affect any other provision of this Agreement, but this Agreement shall
be construed as if such invalid, illegal or unenforceable provisions had never
been contained herein.

     14.  Arbitration. In the event that a dispute or controversy should arise
between the Executive and the Company as to the meaning or application of any
provision, term or condition of this Agreement, such dispute or controversy
shall be settled by binding arbitration in Houston, Texas and for said purpose
each of the parties hereto hereby expressly consents to such arbitration in such
place.  Such arbitration shall be conducted in accordance with the then existing
rules and regulations of the American Arbitration Association governing
commercial transactions.  The expense of  the arbitrator shall be borne by the
Company.

     IN WITNESS WHEREOF, each of the parties hereto has executed this Agreement
as of the date and year first above written.

                              BELLWETHER EXPLORATION COMPANY


                              By:     /s/ VINCENT H. BUCKLEY
                                     ----------------------------------
                              Name:  Vincent H. Buckley
                              Title: Director--Chairman, 
                                        Compensation Committee


                              EXECUTIVE:

                              /s/ J. DARBY SERE
                              -----------------------------------------  
                              J. Darby Sere

                                       9

<PAGE>
 
                                                                    EXHIBIT 10.2

                              EMPLOYMENT AGREEMENT

     This Employment Agreement (this "Agreement") entered into effective as of
June 1, 1998, by and between William C. Rankin (the "Executive"), and Bellwether
Exploration Company, a Delaware corporation having its principal place of
business at 1331 Lamar, Suite 1455, Houston, Texas 77010-3039 (the "Company");

                              W I T N E S S E T H:
                              --------------------

     WHEREAS, the Company wishes to employ the Executive as the Senior Vice
President and Chief Financial Officer and to perform services incident to such
position for the Company, and the Executive wishes to be so employed by the
Company, all upon the terms and conditions hereinafter set forth;

     NOW THEREFORE, in consideration of the premises and mutual covenants and
obligations herein set forth and for other good and valuable consideration, the
receipt, sufficiency and adequacy of which is hereby acknowledged, accepted and
agreed to, the parties hereto, intending to be legally bound, hereby agree as
follows:

     1.   Employment and Term.  The Company hereby employs the Executive to
serve as the Senior Vice President and Chief Financial Officer of the Company.
The term of this Agreement (the "term of this Agreement") shall be effective as
of the date first above written and shall terminate twenty-four (24) months from
the date hereof (the "Termination Date"), unless earlier terminated by either
party hereto in accordance with the provisions of Section 5 hereof, provided,
however, that upon the occurrence of a Change in Control (as such term is
defined in Section 5(g) hereof) the Termination Date shall automatically extend
to a date twenty-four months following the date of such Change in Control
without further action by the Company or the Executive.  During the term of this
Agreement, the terms of employment shall be as set forth herein unless modified
by the Executive and the Company in accordance with the provisions of Section 11
hereof. The Executive hereby agrees to accept such employment and to perform the
services specified herein, all upon the terms and conditions hereinafter set
forth.

     2.   Position and Responsibilities.  The Executive shall serve as the
Senior Vice President and Chief Financial Officer of the Company and shall
report to, and be subject to the general direction and control of, the Board of
Directors of the Company and the Chief Executive Officer of the Company.  The
Executive shall have obligations, duties, authority and power to do all acts and
things as are customarily done by a person holding the same or equivalent
position or performing duties similar to those to be performed by the chief
financial officers in corporations of similar size to the Company and shall
perform such managerial and administrative duties and responsibilities for the
Company as may be reasonably assigned to him by the Board of Directors of the
Company and, at no additional remuneration, shall serve in such other comparable
positions with any subsidiary corporation of the Company, or any partnership,
limited liability company or other entity in which the Company has an interest
(herein collectively called "affiliates"), as the Board of Directors of the
<PAGE>
 
Company may from time to time determine. Unless otherwise agreed to by the
Executive, the Executive shall be based at the Company's principal executive
offices located in the greater Houston, Texas metropolitan area.

     3.   Extent of Service.  The Executive shall devote his full business time
and attention to the business of the Company, and, except as may be specifically
permitted by the Company, shall not be engaged in any other business activity
during the term of this Agreement. The foregoing shall not be construed as
preventing the Executive from making passive investments in other businesses or
enterprises, provided, however, that such investments will not require services
on the part of the Executive which would in any way impair the performance of
his duties under this Agreement.

     4.   Compensation.

          (a) In consideration of the services to be rendered by the Executive
to the Company, the Company will pay the Executive a salary ("Salary") of
$174,000 per year during the Term of this Agreement. Such Salary shall be
payable in conformity with the Company's prevailing practice for executives'
compensation as such practice shall be established or reasonably modified from
time to time. Salary payments shall be subject to all applicable federal and
state withholding, payroll and other taxes. From time to time during the Term of
this Agreement, the amount of the Executive's Salary may be increased by, and at
the sole discretion of, the Compensation Committee of the Company's Board of
Directors, which shall review the Executive's Salary no less regularly than
annually.

          (b) Any cash or stock bonuses paid to the Executive shall be based on
performance and be at the sole discretion of the Compensation Committee of the
Company's Board of Directors or pursuant to a plan adopted by the Compensation
Committee.

          (c) The Company agrees to reimburse the Executive for the monthly dues
incurred by him in maintaining a membership in the following clubs: The Houston
Center Club/Houston Society.

          (d) During the term of this Agreement, the Company shall pay or
reimburse the Executive for all reasonable out-of-pocket expenses for travel,
meals, hotel accommodations, entertainment and the like incurred by him in
connection with the business of the Company upon submission by him of an
appropriate statement documenting such expenses as required by the Internal
Revenue Code of 1986, as amended (the "Code").

          (e) The Executive shall be entitled to four (4) weeks of paid vacation
for the first year of his employment hereunder and five (5) weeks of paid
vacation for each year thereafter during the term of this Agreement. Vacation
shall accrue on the first day of each calendar year. The Company shall pay the
Executive for any unused portion of vacation and any such unused portion of
vacation shall not be carried forward to the next year.

                                       2
<PAGE>
 
          (f) During the term of this Agreement, the Company shall pay to the
Executive an automobile allowance of $500 per month.

          (g) During the term of this Agreement, the Company shall continue to
maintain, at its sole cost and expense, the individual disability insurance
currently provided to the Executive. In addition, the Executive shall be
entitled to participate in and to receive all rights and benefits under any
life, disability, medical and dental, health and accident and profit sharing or
deferred compensation plans and such other plan or plans as may be implemented
by the Company during the term of this Agreement. The Executive shall also be
entitled to participate in and to receive all rights and benefits under any plan
or program adopted by the Company for any other or group of other executive
employees of the Company, including without limitation, the rights and benefits
under the directors' and officers' liability insurance currently in place under
the Company's insurance program for the directors and officers of the Company.

     5.   Termination.

          (a) Termination by Company; Discharge for Cause.  The Company shall be
entitled to terminate this Agreement and the Executive's employment with the
Company at any time and for whatever reason; or at any time for "Cause" (as
defined below) by written notice to the Executive. Termination of the
Executive's employment by the Company shall constitute a termination for "Cause"
if such termination is for one or more of the following reasons: (i) the willful
failure or refusal of the Executive to render services to the Company in
accordance with his obligations under this Agreement, including, without
limitation, the failure or refusal of the Executive to comply with the work
rules, policies, procedures, and directives as established by the Board of
Directors and consistent with the Agreement; such failure or refusal to be
uncured and continuing for a period of not less than fifteen (15) days after
notice outlining the situation is given by the Company to the Executive; (ii)
the commission by the Executive of an act of fraud or embezzlement; (iii) the
commission by the Executive of any other action with the intent to injure the
Company; (iv) the Executive having been convicted of a felony or a crime
involving moral turpitude; (v) the Executive having misappropriated the property
of the Company; (vi) the Executive having engaged in personal misconduct which
materially injures the Company; or (vii) the Executive having wilfully violated
any law or regulation relating to the business of the Company which results in
material injury to the Company.  In the event of the Executive's termination by
the Company for Cause hereunder, the Executive shall be entitled to no severance
or other termination benefits except for any unpaid Salary accrued through the
date of termination. A termination of this Agreement by the Company without
Cause pursuant to this Section 5(a) shall entitle the Executive to the Severance
Payment and other benefits specified in Section 5(f) hereof.

          (b) Death.  If the Executive dies during the term of this Agreement
and while in the employ of the Company, this Agreement shall automatically
terminate and the Company shall have no further obligation to the Executive or
his estate except that the Company shall pay to the Executive's estate that
portion of his Salary and benefits accrued through the date of death. All such

                                       3
<PAGE>
 
payments to the Executive's estate shall be made in the same manner and at the
same time as the Executive's Salary.

          (c) Disability.  If during the term of this Agreement, the Executive
shall be prevented from performing his duties hereunder by reason of disability,
then the Company, on 30 days' prior notice to the Executive, may terminate this
Agreement. For purposes of this Agreement, the Executive shall be deemed to have
become disabled when the Board of Directors of the Company, verified by a
physician designated by the Company, shall have determined that the Executive
has become physically or mentally unable (excluding infrequent and temporary
absences due to ordinary illness) to perform the essential functions of his
duties under this Agreement with reasonable accommodation.  In the event of a
termination pursuant to this paragraph (c), the Company shall be relieved of all
its obligations under this Agreement, except that the Company shall pay to the
Executive or his estate in the event of his subsequent death, that portion of
the Executive's Salary and benefits accrued through the date of such
termination. All such payments to the Executive or his estate shall be made in
the same manner and at the same time as his Salary and would have been paid to
him had he not become disabled.

          (d) Termination for Good Reason.  The Executive shall be entitled to
terminate this Agreement and his employment with the Company at any time upon
thirty (30) days written notice to the Company for "Good Reason" (as defined
below).  The Executive's termination of employment shall be for "Good Reason" if
such termination is a result of any of the following events which is not cured:

              (i) the Executive is assigned any responsibilities or duties
materially and adversely inconsistent with his position, duties,
responsibilities and status with the Company as in effect at the date of this
Agreement or as may be assigned to the Executive pursuant to Section 2 hereof,
or his title or offices as in effect at the date of this Agreement or as the
Executive may be appointed or elected to in accordance with Section 2 are
materially and adversely changed;

              (ii) there is a Change in Control of the Company;

              (iii) there is a reduction in the Salary (as such Salary shall
have been increased from time to time) payable to the Executive pursuant to
Section 4(a) hereof;

              (iv) failure by the Company or any successor to the Company or its
assets to continue to provide to the Executive any material benefit, bonus,
profit sharing, incentive, remuneration or compensation plan, stock ownership or
purchase plan, stock option plan, life insurance, disability plan, pension plan
or retirement plan in which the Executive was entitled to participate in as at
the date of this Agreement or subsequent thereto, or the taking by the Company
of any action that materially and adversely affects the Executive's
participation in or materially reduces his rights or benefits under or pursuant
to any such plan or the failure by the Company to increase or improve such
rights or benefits on a basis consistent with practices in effect prior to the
date of this Agreement or with practices implemented and subsequent to the date
of this Agreement

                                       4
<PAGE>
 
with respect to the executive employees of the Company generally, whichever is
more favorable to the Executive, but excluding such action that is required by
law;

              (v) without Executive's consent, the Company requires the
Executive to relocate to any city or community other than one within the greater
Houston, Texas metropolitan area, except for required travel on the Company's
business to an extent substantially consistent with the Executive's business
obligations under this Agreement; or

              (vi) there is any material breach by the Company of any provision
of this Agreement.

              Upon the Executive's termination of this Agreement for Good
Reason, the Executive shall be entitled to the Severance Payment and other
benefits specified in Section 5(f) hereof.

          (e) Voluntary Termination.  Notwithstanding anything to the contrary
herein, the Executive shall be entitled to voluntarily terminate this Agreement
and his employment with the Company at his pleasure upon sixty (60) days written
notice to such effect. In such event, the Executive shall not be entitled to any
further compensation other than any unpaid Salary and benefits accrued through
the date of termination.  At the Company's option, the Company may pay to the
Executive the salary and benefits that the Executive would have received during
such sixty (60) day period in lieu of requiring the Executive to remain in the
employment of the Company for such sixty (60) day period.

          (f) Termination Benefits Upon Involuntary Termination or Termination
for Good Reason.  In the event that (i) the Company terminates this Agreement
and the Executive's employment with the Company for any reason other than for
Cause (as defined in Section 5(a) hereof) or the death or disability of the
Executive, or (ii) the Executive terminates this Agreement and his employment
with the Company for Good Reason (as set forth in Section 5(d) hereof), then the
Company shall pay the Executive, within thirty (30) days after the date of
termination, an amount (the "Severance Payment") equal to the sum of (x) the
Executive's highest annual Salary during the last two (2) years of employment
immediately preceding the date of termination, plus (y) the highest annual bonus
paid to the Executive during such two-year period (or, in the event such
termination occurs during the first year of the term of this Agreement, an
amount equal to the greater of the annualized amount of any bonus paid during
such year or 25% of his annualized Salary).  In addition, following such
termination, the Executive shall be entitled to the following benefits
(collectively, the "Additional Benefits"):

              (i) immediate vesting of any of the Executive's options to
purchase securities of the Company which were not vested by their own terms on
the date of termination and the extension of the Executive's right to exercise
all of the Executive's options to purchase securities of the Company for a
period equal to the lesser of (A) one year following the date of termination or
(B) the remaining term of the applicable option;

                                       5
<PAGE>
 
              (ii) immediate vesting and lapse of restrictions on any restricted
stock grants outstanding at the time of such termination;

              (iii) continued coverage, at the Company's cost, under the
Company's medical, dental and health benefits (but not life or disability
insurance) set forth in Section 3(g) hereof for a period of eighteen (18) months
from the date of termination;

              (iv) outplacement assistance in an amount not to exceed (15%) of
the Executive's annual Salary in effect on the date of a Change in Control;

              (v)  within 30 days following the date of termination and to the
extent permitted by law, the Company shall contribute to the Executive's 401(k)
or substitute equivalent plan an amount equal to the aggregate amount
contributed by the Executive to such plan during the year in which the
termination occurs plus any profit sharing contribution in a proportionate
amount to the amount paid in the year prior to termination, and shall contribute
to the deferred compensation plan any matching contributions to which Executive
would have been entitled through the date of termination; and

              (vi)  an amount, in cash, equal to the sum of (A) any unreimbursed
expenses incurred by the Executive in the performance of his duties hereunder
through the date of termination, plus (B) any accrued and unused vacation time
or other unpaid benefits as of the date of termination.

              The parties agree that, because there can be no exact measure of
the damages which would occur to the Executive as a result of termination of
employment, such payments contemplated in this Section 5(f) shall be deemed to
constitute liquidated damages and not a penalty and the Company agrees that the
Executive shall not be required to mitigate his damages. The termination
compensation in this Section 5(f) shall be paid only if the Executive executes a
termination agreement releasing all legally waivable claims arising from the
Executive's employment.

          (g)  Termination and Benefits upon a Change in Control.  In the event
that (i) the Company terminates this Agreement and the Executive's employment
with the Company for any reason other than for Cause (as defined in Section 5(a)
hereof) or the death or disability of the Executive or (ii) the Executive
terminates this Agreement and his employment with the Company for Good Reason
(as defined in Section 5(d) hereof), within twenty four months following a
Change in Control (as defined in this Section 5(g)), then in lieu of the
Severance Payment contained in Section 5(f) hereof, the Company shall pay to the
Executive an amount equal to two (2) times the sum of:  (x) the Executive's
highest annual Salary during the last two (2) years immediately preceding the
termination, plus (y) the highest annual bonus paid to the Executive in such
period (or, in the event such termination occurs during the first year of the
term of this Agreement, an amount equal to the greater of the annualized amount
of any bonus paid during such year or 25% of his annualized Salary).  In the
event that the excise tax relating to "parachute payments" under Section 280G of
the Code applies to the Severance Payment, then the Company shall pay the
Executive an

                                       6
<PAGE>
 
additional payment in an amount such that, after payment of federal income taxes
(but not the excise tax) on such additional payment, the Executive retains an
amount equal to the excise tax originally imposed on the Severance Payment.  The
Executive shall also be entitled to receive the Additional Benefits.   "Change
of Control" means or shall be deemed to have occurred if and when: (a) the
acquisition, by whatever means (including without limitation, amalgamation,
consolidation, liquidation, arrangement or merger), by a person (or two or more
persons who in such acquisition have acted jointly or in concert or intend to
exercise jointly or in concert any voting rights attaching to the securities
acquired), directly or indirectly, of the beneficial ownership of such number of
voting securities or rights to voting securities of the Company, which together
with such person's then owned voting securities and rights to voting securities,
if any, represent (assuming the full exercise of such rights to voting
securities) more than 20% of the combined voting power of the Company's then
outstanding voting securities, together with the voting securities that would be
outstanding on the full exercise of the rights to voting securities acquired and
such person's previously owned rights to voting securities; provided, however,
that for purposes of this subsection (a), the following acquisitions shall not
constitute a Change in Control:  (A) any acquisition directly from the Company,
(B) any acquisition by the Company, or (C) any acquisition by any employee
benefit plan (or related trust) sponsored or maintained by the Company; or (b)
individuals who were members of the board of directors of the Company
immediately prior to a meeting of the shareholders of the Company involving a
contest for or on an item of business relating to the election of directors
shall not constitute a majority of the board of directors following such
election.

          (h) Survival.  Notwithstanding the termination of this Agreement under
this Section 5, the provisions of Sections 7 and 8 of this Agreement, and all
other provisions hereof which by their terms are to be performed following the
termination hereof shall survive such termination and be continuing obligations.

     6.   Consent and Waiver by Third Parties.  The Executive hereby represents
and warrants that he has obtained all necessary waivers and/or consents from
third parties as to enable him to accept employment with the Company on the
terms and conditions set forth herein and to execute and perform this Agreement
without being in conflict with any other agreement, obligations or understanding
with any such third party.

     7.   Confidential Information.  The Executive acknowledges that in the
course of his employment with the Company, he has received and will receive
access to confidential information of a special and unique value concerning the
Company and its business, including, without limitation, trade secrets, know-
how, lists of customers, employee records, books and records relating to
operations, costs of providing service and equipment, operating and maintenance
costs, pricing criteria and other confidential information and knowledge
concerning the business of the Company and its affiliates (hereinafter
collectively referred to as "information") which the Company desires to protect.
The Executive acknowledges that such information is confidential and the
protection of such confidential information against unauthorized use or
disclosure is of critical importance to the Company.  The Executive agrees that
he will not reveal such information to anyone outside the Company. The Executive
further agrees that during the term of this Agreement and thereafter he will

                                       7
<PAGE>
 
not use or disclose such information. Upon termination of his employment
hereunder, the Executive shall surrender to the Company all papers, documents,
writings and other property produced by him or coming into his possession by or
through his employment hereunder and relating to the information referred to in
this Section 7, and the Executive agrees that all such materials will at all
times remain the property of the Company. The obligation of confidentiality,
non-use and non-disclosure of know-how set forth in this Section 7 shall not
extend to know-how (i) which was in the public domain prior to disclosure by the
disclosing party, (ii) which comes into the public domain other than through a
breach of this Agreement, (iii) which is disclosed to the Executive after the
termination of this Agreement by a third party having legitimate possession
thereof and the unrestricted right to make such disclosure, or (iv) which is
necessarily disclosed in the course of the Executive's performance of his duties
to the Company as contemplated in this Agreement.  The agreements in this
Section 7 shall survive the termination of this Agreement.

     8.   No Solicitation.

          To support the agreements contained in Section 7 hereof, from the date
hereof and for a period of twelve (12) months after the Executive's employment
with the Company is terminated for any reason, the Executive shall not, either
directly or indirectly, through any person, firm, association or corporation
with which the Executive is now or may hereafter become associated, (i) hire,
employ, solicit or engage any then current employee of the Company or its
affiliates, or (ii) use in any competition, solicitation or marketing effort any
information as to which the Executive has a duty of confidential treatment under
paragraph 7 above.

     9.   Notices.  All notices, requests, consents and other communications
under this Agreement shall be in writing and shall be deemed to have been
delivered on the date personally delivered or on the date mailed, postage
prepaid, by certified mail, return receipt requested, or telegraphed and
confirmed if addressed to the respective parties as follows:

          If to the Executive:   William C. Rankin
                                 16314 Wimbledon Forest Drive
                                 Spring, Texas 77379

          If to the Company:     Bellwether Exploration Company
                                 1331 Lamar, Suite 1455
                                 Houston, Texas 77010-3039
                                 Attention: Chairman, Compensation Committee

Either party hereto may designate a different address by providing written
notice of such new address to the other party hereto.

     10.  Specific Performance.  The Executive acknowledges that a remedy at law
for any breach or attempted breach of Section 7 or 8 of this Agreement will be
inadequate, agrees that the Company shall be entitled to specific performance
and injunctive and other equitable relief in case

                                       8
<PAGE>
 
of any such breach or attempted breach, and further agrees to waive any
requirement for the securing or posting of any bond in connection with the
obtaining of any such injunctive or any other equitable relief.

     11.  Waivers and Modifications.   This Agreement may be modified, and the
rights and remedies of any provision hereof may be waived, only in accordance
with this Section 11. No modification or waiver by the Company shall be
effective without the consent of at least a majority of the Compensation
Committee of the Board of Directors then in office at the time of such
modification or waiver. No waiver by either party of any breach by the other or
any provision hereof shall be deemed to be a waiver of any later or other breach
thereof or as a waiver of any other provision of this Agreement. This Agreement
sets forth all of the terms of the understandings between the parties with
reference to the subject matter set forth herein and may not be waived, changed,
discharged or terminated orally or by any course of dealing between the parties,
but only by an instrument in writing signed by the party against whom any
waiver, change, discharge or termination is sought.

     12.  Governing Law.  This Agreement shall be construed in accordance with
the laws of the State of Texas.

     13.  Severability.  In case of one or more of the provisions contained in
this Agreement for any reason shall be held to be invalid, illegal or
unenforceable in any respect, such invalidity, illegality or unenforceability
shall not affect any other provision of this Agreement, but this Agreement shall
be construed as if such invalid, illegal or unenforceable provisions had never
been contained herein.

     14.  Arbitration. In the event that a dispute or controversy should arise
between the Executive and the Company as to the meaning or application of any
provision, term or condition of this Agreement, such dispute or controversy
shall be settled by binding arbitration in Houston, Texas and for said purpose
each of the parties hereto hereby expressly consents to such arbitration in such
place.  Such arbitration shall be conducted in accordance with the then existing
rules and regulations of the American Arbitration Association governing
commercial transactions.  The expense of  the arbitrator shall be borne by the
Company.

     IN WITNESS WHEREOF, each of the parties hereto has executed this Agreement
as of the date and year first above written.

                              BELLWETHER EXPLORATION COMPANY


                              By:     /s/ J. DARBY SERE
                                  ------------------------------------
                              Name:   J. Darby Sere
                              Title:  Chairman, President & Chief 
                                        Executive Officer


                              EXECUTIVE:

                              /s/ WILLIAM C. RANKIN
                              ---------------------------------------- 
                              William C. Rankin

                                       9

<TABLE> <S> <C>

<PAGE>
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<PERIOD-START>                             JAN-01-1998
<PERIOD-END>                               JUN-30-1998
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<SECURITIES>                                         0
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<BONDS>                                        100,000
                                0
                                          0
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<CHANGES>                                            0
<NET-INCOME>                                     (145)
<EPS-PRIMARY>                                   (0.01)
<EPS-DILUTED>                                   (0.01)
        

</TABLE>


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