BRIGHAM EXPLORATION CO
SC 13D, 2000-03-27
CRUDE PETROLEUM & NATURAL GAS
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<PAGE>   1
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D. C. 20549

                                  SCHEDULE 13D
                    Under the Securities Exchange Act of 1934

                           BRIGHAM EXPLORATION COMPANY
                                (Name of Issuer)

                     COMMON STOCK, PAR VALUE $0.01 PER SHARE
                         (Title of Class of Securities)

                                   109178 10 3
                                 (CUSIP Number)

                                MS. E.V. PHILLIPS
                               CORPORATE SECRETARY
                           910 LOUISIANA, ROOM 4555 D
                             HOUSTON, TX 77002-2463
                               TEL: (713) 241-3518
                  (Name, Address and Telephone Number of Person
                Authorized to Receive Notices and Communications)

                                FEBRUARY 17, 2000
                      (Date of Event which Requires Filing
                               of this Statement)

If the filing person has previously filed a statement on Schedule 13G to report
the acquisition which is the subject of this Schedule 13D, and is filing this
schedule because of Sections 240.13d-1(e), 240.13d-1(f) or 240.13d-1(g), check
the following box: [ ]

NOTE: Schedules filed in paper format shall include a signed original and five
copies of the schedule, including all exhibits. See Section 240.13d-7(b) for
other parties to whom copies are to be sent.

The information required on the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).


<PAGE>   2


                                  SCHEDULE 13D

- ---------------------------                          ---------------------------
CUSIP No. 109178 10 3                                Page 2 of 17 Pages
- ---------------------------                          ---------------------------

<TABLE>
<S>                                                                               <C>
- ------------------------------------------------------------------------------------------
   1     NAME OF REPORTING PERSON
         S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
         Shell Capital Inc.       76-0555907
- ------------------------------------------------------------------------------------------
                                                                                  (a) [ ]
   2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                         (b) [ ]

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

   3     SEC USE ONLY

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

   4     SOURCE OF FUNDS
         AF
- ------------------------------------------------------------------------------------------

   5     CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED                    [ ]
         PURSUANT TO ITEMS 2(d) OR 2(e)
- ------------------------------------------------------------------------------------------

   6     CITIZENSHIP OR PLACE OF ORGANIZATION
         Delaware
- ------------------------------------------------------------------------------------------

NUMBER OF SHARES               7    SOLE VOTING POWER
BENEFICIALLY OWNED BY EACH          -0-
REPORTING PERSON WITH
                             -------------------------------------------------------------

                               8    SHARED VOTING POWER
                                    5,480,769(1)
                             -------------------------------------------------------------

                               9    SOLE DISPOSITIVE POWER
                                    -0-
                             -------------------------------------------------------------

                              10    SHARED DISPOSITIVE POWER
                                    5,480,769 (1)
- ------------------------------------------------------------------------------------------

  11
         AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

         5,480,769 (1)
- ------------------------------------------------------------------------------------------

  12
         CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES

         CERTAIN SHARES                                                               [ ]
- ------------------------------------------------------------------------------------------

  13
         PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

         27.4%(2)
- ------------------------------------------------------------------------------------------

  14
         TYPE OF REPORTING PERSON

         CO
- ------------------------------------------------------------------------------------------
</TABLE>
- ----------------------
(1) Includes shares of Common Stock issuable upon the exercise of either
    Warrants to purchase Common Stock or certain rights to convert Common Stock
    pursuant to the Equity Conversion Agreement.
(2) Based on 14,517,786 shares of Common Stock outstanding as of December 31,
    1999.



<PAGE>   3


                                         SCHEDULE 13D

- ---------------------------                          ---------------------------
CUSIP No. 109178 10 3                                Page 3 of 17 Pages
- ---------------------------                          ---------------------------

<TABLE>
<S>                                                                               <C>
   1     NAME OF REPORTING PERSON
         S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
         Shell Oil Company                      13-1299890
- -------- ---------------------------------------------------------------------------------
                                                                                  (a) [ ]
   2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                         (b) [ ]

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

   3     SEC USE ONLY

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

   4     SOURCE OF FUNDS
         WC
- -------- ---------------------------------------------------------------------------------

   5     CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED                     [ ]
         PURSUANT TO ITEMS 2(d) OR 2(e)
- -------- ---------------------------------------------------------------------------------

   6     CITIZENSHIP OR PLACE OF ORGANIZATION
         Delaware
- -------- ---------------------------------------------------------------------------------

NUMBER OF SHARES               7    SOLE VOTING POWER
BENEFICIALLY OWNED BY EACH          -0-
REPORTING PERSON WITH
                             ------ ------------------------------------------------------

                               8    SHARED VOTING POWER
                                    5,480,769(1)
                             ------ ------------------------------------------------------

                               9    SOLE DISPOSITIVE POWER
                                    -0-
                             ------ ------------------------------------------------------

                              10    SHARED DISPOSITIVE POWER
                                    5,480,769 (1)
- ---------------------------- ------ ------------------------------------------------------

  11
         AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

         5,480,769 (1)
         ---------------------------------------------------------------------------------

  12
         CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES

         CERTAIN SHARES                                                               [ ]
         ---------------------------------------------------------------------------------

  13
         PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

         27.4%(2)
- -------- ---------------------------------------------------------------------------------

  14
         TYPE OF REPORTING PERSON

         CO
- -------- ---------------------------------------------------------------------------------
</TABLE>
- ------------------
(1) Includes shares of Common Stock issuable upon the exercise of either
    Warrants to purchase Common Stock or certain rights to convert Common Stock
    pursuant to the Equity Conversion Agreement.
(2) Based on 14,517,786 shares of Common Stock outstanding as of December 31,
    1999.



<PAGE>   4

                                  SCHEDULE 13D

- ---------------------------                          ---------------------------
CUSIP No. 109178 10 3                                Page 4 of 17 Pages
- ---------------------------                          ---------------------------

<TABLE>
<CAPTION>
<S>                                                                              <C>
- ------------------------------------------------------------------------------------------
   1     NAME OF REPORTING PERSON
         S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON
         Shell Petroleum Inc.                   51-0276505
- ------------------------------------------------------------------------------------------
   2     CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP                         (a) [ ]
                                                                                  (b) [ ]

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

   3     SEC USE ONLY

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

   4     SOURCE OF FUNDS
         AF
- ------------------------------------------------------------------------------------------

   5     CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED                     [ ]
         PURSUANT TO ITEMS 2(d) OR 2(e)
- ------------------------------------------------------------------------------------------

   6     CITIZENSHIP OR PLACE OF ORGANIZATION
         Delaware
- ------------------------------------------------------------------------------------------

NUMBER OF SHARES               7    SOLE VOTING POWER
BENEFICIALLY OWNED BY EACH          -0-
REPORTING PERSON WITH
                             -------------------------------------------------------------

                               8    SHARED VOTING POWER
                                    5,480,769(1)
                             -------------------------------------------------------------

                               9    SOLE DISPOSITIVE POWER
                                    -0-
                             -------------------------------------------------------------

                              10    SHARED DISPOSITIVE POWER
                                    5,480,769 (1)
- ------------------------------------------------------------------------------------------
  11
         AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

         5,480,769 (1)
         ---------------------------------------------------------------------------------
  12
         CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES                       [ ]
         CERTAIN SHARES
         ---------------------------------------------------------------------------------
  13
         PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (11)

         27.4%(2)
- ------------------------------------------------------------------------------------------
  14
         TYPE OF REPORTING PERSON

         CO
- ------------------------------------------------------------------------------------------
</TABLE>
- -------------------
(1) Includes shares of Common Stock issuable upon the exercise of either
    Warrants to purchase Common Stock or certain rights to convert Common Stock
    pursuant to the Equity Conversion Agreement.
(2) Based on 14,517,786 shares of Common Stock outstanding as of December 31,
    1999.




<PAGE>   5

ITEM 1.    SECURITY AND ISSUER

    This statement on Schedule 13D relates to warrants (the "Warrants") issued
to Shell Capital Inc. ("Shell Capital") to purchase up to 5,480,769 shares of
the common stock, par value $0.01 per share (the "Common Stock"), of Brigham
Exploration Company (the "Issuer") and, in the alternative, certain rights held
by Shell Capital to convert a portion of the debt issued by Shell Capital
pursuant to an Amended and Restated Credit Agreement (the "Credit Agreement")
dated February 17, 2000 between Brigham Oil & Gas, L.P., a Delaware limited
partnership (the "Borrower"), certain financial institutions (including Shell
Capital) (the "Lenders"), and the Bank of Montreal, as agent for the Lenders
(the "Agent"), into up to 5,480,769 shares of Common Stock of the Issuer
pursuant to the terms of the Equity Conversion Agreement dated February 17, 2000
between Shell Capital, the Borrower and the Issuer. The principal executive
offices of the Issuer are located at 6300 Bridge Point Parkway, Building 2,
Suite 500, Austin, Texas 78730.

ITEM 2.    IDENTITY AND BACKGROUND

    This statement on Schedule 13D is being filed by Shell Capital, Shell Oil
Company and Shell Petroleum Inc. (collectively, the "Reporting Persons").

    Shell Capital is a wholly-owned subsidiary of Shell Oil Company which is a
wholly-owned subsidiary of Shell Petroleum Inc. The principal business of Shell
Capital is investment activities. Shell Capital is organized under the laws of
the State of Delaware and the address of its principal place of business is 910
Louisiana, Suite 5000, Houston, Texas 77252-2463.

    Shell Oil Company, including its equity companies, is engaged, principally
in the United States, in the exploration for, and development, production,
purchase, transportation and marketing of, crude oil and natural gas, and the
purchase, manufacture, transportation and marketing of oil and chemical
products. In addition, Shell Oil is engaged in the exploration for, and
production of, crude oil and natural gas outside the United States on a limited
and selected basis. Shell Oil Company is organized under the laws of the State
of Delaware and its principal place of business is at One Shell Plaza, 910
Louisiana, Houston, Texas 77002.

    Shell Petroleum Inc. is a holding company.  Shell Petroleum Inc. is
organized under the laws of the State of Delaware and has its principal place of
business at 1105 N. Market Street, Suite 1300, Wilmington, Delaware 19899.

    The shares of Shell Petroleum Inc. are directly or indirectly owned 60% by
N.V. Koninklijke Nederlandsche Petroleum Maatschappij (Royal Dutch Petroleum
Company), the Hague, the Netherlands, and 40% by The "Shell" Transport and
Trading Company, p.l.c. These companies are all holding companies of the Royal
Dutch/Shell Group of Companies, the members of which are severally engaged
throughout the greater part of the world in oil, natural gas, chemicals, coal
and other businesses. This Schedule 13D does not describe these entities as
Reporting Persons because as parent companies, The "Shell" Transport and Trading
Company and Royal Dutch Petroleum Company do not themselves engage in
operational activities and they exercise no material voting influence over the
voting or disposition of the securities covered by this Schedule 13D except to
the



<PAGE>   6

extent that they may have officers and directors in common with the Reporting
Persons described above.

    The attached Schedule I is a list of the executive officers and directors of
the Reporting Persons which contains the following information with respect to
each such Reporting Person: (i) name; (ii) business address; (iii) present
principal occupation or employment and the name, principal business and address
of any corporation or other organization in which such employment is conducted;
and (iv) citizenship.

    None of the Reporting Persons, nor to their knowledge any person listed on
Schedule I hereto, has been during the last five years (a) convicted of any
criminal proceeding (excluding traffic violations or similar misdemeanors) or
(b) a party to a civil proceeding of a judicial or administrative body of
competent jurisdiction and as a result of such proceeding was or is subject to a
judgment, decree or final order enjoining future violations of, or prohibiting
or mandating activities subject to, United States federal or state securities
laws or finding any violations with respect to such laws.

ITEM 3.    SOURCE AND AMOUNT OF FUNDS OR OTHER CONSIDERATION

    Pursuant to the terms of the Credit Agreement, the Lenders thereunder made
available to the Borrower a revolving credit facility in an aggregate amount of
$75,000,000, conditioned on the satisfaction of certain conditions precedent, to
be repaid in full by December 31, 2002. Thomas E. McGraw, acting as trustee for
the Agent, has been granted security interests over certain of the assets of the
Issuer and its subsidiaries pursuant to the Credit Agreement. Pursuant to the
terms of the Credit Agreement, the Issuer has agreed to guarantee the
obligations of the Borrower under the terms of the Credit Agreement. The
foregoing summary of the Credit Agreement is qualified in its entirety by
reference to Exhibit A, which is hereby incorporated by reference. To finance
fundings under the Credit Agreement, Shell Capital used funds borrowed from
Shell Oil Company.

    As a condition precedent to the funding of the Credit Agreement, the Issuer,
the Borrower and Shell Capital entered into an Equity Conversion Agreement (the
"Equity Conversion Agreement") dated February 17, 2000, whereby Shell Capital
has the right to convert up to $30,000,000 of outstanding debt issued under the
Credit Agreement into shares of Common Stock (the "Conversion Shares"),
exercisable on or after the 90th day after the date of the Equity Conversion
Agreement and only upon the occurrence of certain events as follows (subject to
adjustment in accordance with the terms of the Equity Conversion Agreement): (i)
the first $10,000,000 of outstanding debt may be converted into Common Stock at
$3.90 per share; (ii) the next $10,000,000 to $20,000,000 of outstanding debt
may be converted into Common Stock at $6.00 per share; and (iii) any outstanding
debt over $20,000,000 up to $30,000,000 may be converted into Common Stock at
$8.00 per share. Should either Shell Capital choose to convert some or all of
the outstanding debt into Conversion Shares or the Borrower force Shell Capital
to convert some or all of the debt into Conversion Shares, then the number of
Warrant Shares (as defined below) into which the Warrants may be converted
pursuant to the Warrant Agreement (as defined below) shall be reduced by the
number of Conversion Shares issued to Shell Capital pursuant to the Equity
Conversion Agreement. The Borrower has the right to force the conversion of
outstanding debt under the Credit Agreement into shares of Common Stock on or
after one year from the date of the Equity Conversion Agreement, subject to
specified



<PAGE>   7

limitations. The foregoing summary of the Equity Conversion Agreement is
qualified in its entirety by reference to Exhibit B, which is hereby
incorporated by reference.

        Also as a condition precedent to the funding of the Credit Agreement,
the Issuer entered into a Warrant Agreement (the "Warrant Agreement") with Shell
Capital on February 17, 2000. Pursuant to the Warrant Agreement, the Issuer
granted to Shell Capital Warrants representing the right to acquire up to
5,480,769 shares of Common Stock of the Issuer (the "Warrant Shares"),
exercisable upon the repayment by the Borrower, which repayment meets certain
additional conditions, of a certain portion of the debt issued by Shell Capital
under the Credit Agreement as follows (subject to adjustment in accordance with
the terms of the Warrant Agreement): (i) 2,564,102 Warrants exercisable at $3.90
per share of Common Stock; (ii) 1,666,667 Warrants exercisable at $6.00 per
share of Common Stock; and (iii) 1,250,000 Warrants exercisable at $8.00 per
share of Common Stock. The number of Warrant Shares held by Shell Capital is
subject to reduction as described above upon the conversion of a portion of the
outstanding debt issued by Shell Capital under the Credit Agreement into
Conversion Shares. The foregoing summary of the Warrant Agreement is qualified
in its entirety by reference to Exhibit C, which is hereby incorporated by
reference. The source of the funds that will be used for the exercise of the
Warrants to purchase Warrant Shares, if applicable, will most likely be working
capital then on hand or funds borrowed from Shell Oil Company.

ITEM 4.    PURPOSE OF TRANSACTION

    Shell Capital acquired the Warrants and its rights under the Equity
Conversion Agreement in connection with its participation in the funding of the
Credit Agreement as described in Item 3. Shell Capital entered into the Credit
Agreement for investment purposes. The proceeds of the Credit Agreement will be
used to satisfy the working capital needs of Borrower and its subsidiaries.
During such time as Shell Capital owns 10% or more of the issued and outstanding
Common Stock of the Issuer, Shell Capital shall have the right to designate one
member of the Board of Directors of the Issuer as provided in Section 2.08 of
the Equity Conversion Agreement. In connection with the Warrant Agreement and
the Equity Conversion Agreement, the Issuer and Shell Capital entered into a
Registration Rights Agreement dated as of February 17, 2000 (the "Registration
Rights Agreement"), which requires the Issuer to register for sale under the
Securities Act of 1933, as amended (the "Securities Act") the Warrant Shares and
the Conversion Shares (collectively, the "Registrable Securities") acquired by
Shell Capital. These rights include "piggy back" rights to include the
Registrable Securities in Securities Act registrations effected by the Issuer,
as well as certain registration rights upon the Conversion of any Warrants into
Warrant Shares or any outstanding debt into Conversion Shares. The foregoing
summary of the Registration Rights Agreement is qualified in its entirety by
reference to Exhibit D, which is hereby incorporated by reference.

    Except as set forth in the preceding paragraph, Item 3 and Item 6 hereof and
as otherwise contemplated by the Credit Agreement (attached hereto as Exhibit
A), the Equity Conversion Agreement (attached hereto as Exhibit B), the Warrant
Agreement (attached hereto as Exhibit C) and the Registration Rights Agreement
(attached hereto as Exhibit D), none of the Reporting Persons and, to the best
knowledge of the Reporting Persons, none of the persons set forth on Schedule I,
has



<PAGE>   8

any current plans or proposals that relate to or would result in (a) the
acquisition by any person of additional securities of the Issuer or the
disposition of securities of the Issuer; (b) an extraordinary corporate
transaction, such as a merger, reorganization or liquidation of the Issuer or
any of its subsidiaries; (c) a sale or transfer of a material amount of assets
of the Issuer or any of it subsidiaries; (d) any change in the present board of
directors or management of the Issuer, including any plans or proposals to
change the number or term of directors or to fill any existing vacancies on the
board; (e) any material change in the present capitalization or dividend policy
of the Issuer; (f) any other material change in the Issuer's business or
corporate structure; (g) changes in the Issuer's charter, by-laws or instruments
corresponding thereto, or other actions which may impede the acquisition of the
control of the Issuer by any other person; (h) any of the Issuer's securities
being de-listed from a national securities exchange or ceasing to be authorized
to be quoted in an inter-dealer quotation system of a registered national
securities association; (i) any of the Issuer's equity securities becoming
eligible for termination of registration pursuant to Section 12(g)(4) of the
Securities Exchange Act of 1934, as amended; or (j) any action similar to any of
those enumerated above.

    Notwithstanding the foregoing, the Reporting Persons may in the future
determine to acquire additional Common Stock or to dispose of Common Stock.

ITEM 5.    INTEREST IN SECURITIES OF THE ISSUER

    (a) Reference is made to the applicable cover page for each Reporting Person
for information concerning (i) the number of shares of Common Stock beneficially
owned by such Reporting Person, and (ii) the percentage of outstanding Common
Stock beneficially owned by such Reporting Person, in each case as of the date
of this filing.

    (b) Reference is made to the applicable cover page for each Reporting Person
for information concerning beneficial ownership of shares of Common Stock as to
which such Reporting Person has sole power to vote or to direct the vote, shared
power to vote or direct the vote, and sole or shared power to dispose or to
direct the disposition, in each case as of the date of this filing.

    (c) During the past sixty days, none of the Reporting Persons acquired or
disposed of beneficial ownership of Common Stock except as described herein.

    (d) No person other than the Reporting Persons has the right to receive
dividends on the Common Stock issuable upon exercise of the Warrants
beneficially owned by the Reporting Persons described in this Schedule 13D and
proceeds from the sale thereof.

    (e) Not applicable.

ITEM 6.    CONTRACTS, ARRANGEMENTS, UNDERSTANDINGS OR RELATIONSHIPS WITH RESPECT
           TO SECURITIES OF THE ISSUER

        See the description of the Credit Agreement, the Equity Conversion
Agreement, the Warrant Agreement and the Registration Rights Agreement in Item 3
and Item 4 hereof, and as more fully set forth in Exhibits A, B, C and D,
respectively. Other than as previously set forth, neither any of



<PAGE>   9

the Reporting Persons nor, to the best knowledge of such persons, any person
named in Schedule I to this statement has any contract, arrangement,
understanding or relationship (legal or otherwise) with any person with respect
to any securities of the Issuer, including, but not limited to, transfer or
voting of securities, finder's fees, joint ventures, loan or option agreements,
puts or calls, guarantees of profits, division of profits or losses or the
giving or withholding of proxies.

ITEM 7.        MATERIAL TO BE FILES AS EXHIBITS

Exhibit A      Amended and Restated Credit Agreement, dated as of February 17,
               2000, between Brigham Oil & Gas, L.P., certain financial
               institutions and the Bank of Montreal, as agent for the Lenders
               (incorporated herein by reference to Exhibit 10.1 of Form 8-K
               (Current Report) for the period ending February 17, 2000 and
               filed by the Issuer with the Securities and Exchange Commission
               on February 29, 2000).

Exhibit B      Equity Conversion Agreement, dated as of February 17, 2000,
               between Brigham Oil & Gas, L.P., Brigham Exploration Company and
               Shell Capital Inc. (incorporated herein by reference to Exhibit
               10.6 of Form 8-K (Current Report) for the period ending February
               17, 2000 and filed by the Issuer with the Securities and Exchange
               Commission on February 29, 2000).

Exhibit C      Warrant Agreement, dated as of February 17, 2000, between
               Brigham Exploration Company and Shell Capital Inc. (incorporated
               herein by reference to Exhibit 10.7 of Form 8-K (Current Report)
               for the period ending February 17, 2000 and filed by the Issuer
               with the Securities and Exchange Commission on February 29,
               2000).

Exhibit D      Registration Rights Agreement, dated as of February 17, 2000,
               between Brigham Exploration Company and Shell Capital Inc.
               (incorporated herein by reference to Exhibit 10.8 of Form 8-K
               (Current Report) for the period ending February 17, 2000 and
               filed by the Issuer with the Securities and Exchange Commission
               on February 29, 2000).

Exhibit E      Letter dated as of February 17, 2000, regarding certain fees
               pursuant to Credit Agreement dated as of February 17, 2000, among
               Brigham Oil & Gas, L.P., Bank of Montreal, as Agent, Shell
               Capital Inc. and the lenders signatory thereto (incorporated
               herein by reference to Exhibit 10.9 of Form 8-K (Current Report)
               for the period ending February 17, 2000 and filed by the Issuer
               with the Securities and Exchange Commission on February 29,
               2000).

Exhibit F      Amended and Restated Guaranty Agreement dated as of February
               17, 2000 by Brigham Exploration Company in favor of Bank of
               Montreal, as Agent, and each of the Lenders party to the Amended
               and Restated Credit Agreement (incorporated herein by reference
               to Exhibit 10.2 of Form 8-K (Current Report) for the period
               ending February 17, 2000 and filed by the Issuer with the
               Securities and Exchange Commission on February 29, 2000).
<PAGE>   10

Exhibit G      Partial Assignment of Notes dated as of February 17, 2000 by
               and among (i) Bank of Montreal, (ii) Societe Generale, Southwest
               Agency, (iii) Shell Capital Inc., and (iv) Brigham Oil & Gas,
               L.P. (incorporated herein by reference to Exhibit 10.3 of Form
               8-K (Current Report) for the period ending February 17, 2000 and
               filed by the Issuer with the Securities and Exchange Commission
               on February 29, 2000).

Exhibit H      Agreement to joint filing of Shell Oil Company and Shell
               Petroleum Inc.

SIGNATURE

        After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.

Dated:  March 27, 2000

                                            SHELL CAPITAL INC.


                                            By:/s/ R.W. Leftwich
                                               ---------------------------------
                                            Name:  R.W. Leftwich
                                                 -------------------------------
                                            Title: President
                                                  ------------------------------


                                            SHELL OIL COMPANY


                                            By:/s/ R.W. Leftwich
                                               ---------------------------------
                                            Name:  R.W. Leftwich
                                                 -------------------------------
                                            Title: Treasurer
                                                  ------------------------------


                                            SHELL PETROLEUM INC.


                                            By:/s/ R.W. Leftwich
                                               ---------------------------------
                                            Name:  R.W. Leftwich
                                                 -------------------------------
                                            Title: Assistant Treasurer
                                                  ------------------------------


<PAGE>   11
                                 EXHIBIT INDEX

EXHIBIT NO.                       DESCRIPTION
- -----------                       -----------
    H          Agreement to joint filing of Shell Oil Company and
               Shell Petroleum Inc.
<PAGE>   12

                                                                      SCHEDULE I


                                      SHELL CAPITAL INC.

<TABLE>
<CAPTION>
- ----------------------------------------------------------------------------------------------------
                                                           PRESENT PRINCIPAL
NAME                  BUSINESS ADDRESS                  OCCUPATION OR EMPLOYMENT    CITIZENSHIP
                                                              AND THE NAME
- ----------------------------------------------------------------------------------------------------
<S>                   <C>                             <C>                           <C>
DIRECTORS:
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
R. W. Leftwich        P.O. Box 2463                   Director/Chairman             U.S.A.
                      Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
D. J. Palmer          P.O. Box 2463                   Director                      British
                      Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
M. Treanor            Shell Centre                    Director                      British
                      London, SE1 7NA
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
OFFICERS:
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
R. W. Leftwich        P.O. Box 2463                   President                     U.S.A.
                      Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
R. W. Bohan           P.O. Box 2463                   Senior Vice President and     U.S.A.
                      Houston, Texas  77252-2463      General Counsel; Director
                                                      of Legal
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
D. J. Palmer          P.O. Box 2463                   Senior Vice President -       U.S.A.
                      Houston, Texas  77252-2463      Finance
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
G. M. C. Thomas       P.O. Box 2463                   Senior Vice President and     U.S.A.
                      Houston, Texas  77252-2463      General Tax Counsel
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
D. A. Ayars           P.O. Box 2463                   Vice President                U.S.A.
                      Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
J. D. Culbertson      P.O. Box 2463                   Vice President                U.S.A.
                      Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
R. S. De              P.O. Box 2463                   Vice President                U.S.A.
                      Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
G. E. La Doe          Shell Centre                    Vice President                U.S.A.
- ----------------------------------------------------------------------------------------------------
</TABLE>

<PAGE>   13
<TABLE>
<CAPTION>
- ----------------------------------------------------------------------------------------------------
<S>                   <C>                             <C>                           <C>
                                                           PRESENT PRINCIPAL
NAME                  BUSINESS ADDRESS                  OCCUPATION OR EMPLOYMENT    CITIZENSHIP
                                                              AND THE NAME
- ----------------------------------------------------------------------------------------------------
                      London, SEI 7NA
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
M. C. McMurray        P.O. Box 2463                   Vice President                U.S.A.
                      Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
E. J. Norris          P.O. Box 2463                   Vice President                U.S.A.
                      Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
R. L. Roberts         P.O. Box 2463                   Vice President                U.S.A.
                      Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
E. V. Phillips        P.O. Box 2463                   Secretary                     U.S.A.
                      Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
S. J. Paul            P.O. Box 2463                   Assistant Secretary           U.S.A.
                      Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
T.E. Doughman         P.O. Box 2463                   Vice President                U.S.A.
                      Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
M.J. Daman            P.O. Box 2463                   Director of Business          British
                      Houston, Texas  77252-2463      Development
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
H. Vigeveno           P.O. Box 2463                   Vice President                Dutch
                      Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
W. L. Campbell        P.O. Box 2463                   Director of Business          U.S.A.
                      Houston, Texas  77252-2463      Development
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
M. R. Keener          P.O. Box 2463                   Director of Business          U.S.A.
                      Houston, Texas  77252-2463      Development
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
</TABLE>


<PAGE>   14
                                SHELL OIL COMPANY

<TABLE>
<CAPTION>
- ----------------------------------------------------------------------------------------------------
                                                            PRESENT PRINCIPAL
         NAME                 BUSINESS ADDRESS          OCCUPATION OR EMPLOYMENT       CITIZENSHIP
                                                              AND THE NAME
- ----------------------------------------------------------------------------------------------------
<S>                     <C>                            <C>                          <C>
DIRECTORS:
- ----------------------------------------------------------------------------------------------------
Joseph E. Antonini      1800 W. Maple Road             Director; Retired            U.S.A.
                        Troy, MI 48084                 Chairman, President and
                                                       CEO, K-Mart Corporation
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
M. Moody-Stuart         Shell Centre                   Chairman & Managing          British
                        London SE1 7NA                 Director, The "Shell"
                                                       Transport and Trading
                                                       Company, p.l.c.
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
Rand V. Araskog         125 Worth Avenue               Director; Retired Chairman   U.S.A.
                        Suite 300                      and CEO, ITT Corporation
                        Palm Beach, FL 33480
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
Harold A. Poling        Fairlane Plaza North           Director; Retired Chairman   U.S.A.
                        290 Town Center Drive, Ste.    and CEO, Ford Motor Company
                        322
                        Dearborn, MI 48126
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
Robert F. Daniell       United Technologies            Director; Retired            U.S.A.
                        Building, 755 Main Street      Chairman, United
                        One Financial Plaza            Technologies Corporation
                        Hartford, CT 06101
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
Gordon R. Sullivan      2425 Wilson Blvd.              Director; President,         U.S.A.
                        Arlington, VA 22201            Association of the U.S.
                                                       Army
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
Vilma S. Martinez       355 S. Grand Avenue            Director; Partner, Munger,   U.S.A.
                        35th Floor                     Tolles & Olson
                        Los Angeles, CA 90071 - 1560
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
John F. Woodhouse       1390 Enclave Parkway           Director, Senior Chairman,   U.S.A.
                        Houston, TX 77077-2099         Sysco Corporation
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
S.L. Miller             P.O. Box 2463                  President and Chief          U.S.A.
                        Houston, Texas  77252-2463     Executive Officer, Shell
- ----------------------------------------------------------------------------------------------------
</TABLE>

<PAGE>   15
<TABLE>
<CAPTION>
- ----------------------------------------------------------------------------------------------------
                                                          PRESENT PRINCIPAL
      NAME                BUSINESS ADDRESS                 OCCUPATION OR             CITIZENSHIP
                                                          EMPLOYMENT AND
                                                             THE NAME
- ----------------------------------------------------------------------------------------------------
<S>                      <C>                           <C>                          <C>
                                                       Oil Company
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
OFFICERS:
- ----------------------------------------------------------------------------------------------------
S. L. Miller            P.O. Box 2463                  President and Chief          U.S.A.
                        Houston, Texas 77252-2463      Executive Officer
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
S. Borches              P.O. Box 2463                  Vice President -             U.S.A.
                        Houston, Texas  77252-2463     (Corporate Affairs)
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
N. J. Caruso            P.O. Box 2463                  Vice President - Finance     U.S.A.
                        Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
S. A. Lackey            P.O. Box 2463                  Vice President and General   U.S.A.
                        Houston, Texas  77252-2463     Counsel
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
B. W. Levan             P.O. Box 2463                  Vice President - (Human      U.S.A.
                        Houston, Texas  77252-2463     Resources)
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
S. C. Stryker           P.O. Box 2463                  Vice President and General   U.S.A.
                        Houston, Texas  77252-2463     Tax Counsel
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
S. E. Ward              1401 Eye Street, N. W.,        Vice President -             U.S.A.
                        Suite 1030                     (Government Affairs)
                        Washington, D.C. 20005
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
J. B. Edrington         P.O. Box 2463                  Corporate Secretary          U.S.A.
                        Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
S. J. Paul              P.O. Box 2463                  Assistant Secretary          U.S.A.
                        Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
E. V. Phillips          P.O. Box 2463                  Assistant Secretary          U.S.A.
                        Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
R. W. Leftwich          P.O. Box 2463                  Treasurer                    U.S.A.
                        Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
G. Hullinger            P.O. Box 2463                  Controller                   U.S.A.
                        Houston, Texas  77252-2463
- ----------------------------------------------------------------------------------------------------
</TABLE>



<PAGE>   16
                              SHELL PETROLEUM INC.

<TABLE>
<CAPTION>
- ----------------------------------------------------------------------------------------------------
                                                         PRESENT PRINCIPAL
NAME                  BUSINESS ADDRESS                     OCCUPATION OR             CITIZENSHIP
                                                         EMPLOYMENT AND THE
                                                               NAME
- ----------------------------------------------------------------------------------------------------
<S>                   <C>                             <C>                           <C>
DIRECTORS:
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
N. J. Caruso          P. O. Box 8985                  Director                      USA
                      Wilmington, DE  19899
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
S. A. Lackey          P. O. Box 8985                  Director                      USA
                      Wilmington, DE  19899
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
S. L. Miller          P. O. Box 8985                  Director                      USA
                      Wilmington, DE  19899
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
M. Moody-Stuart       P. O. Box 8985                  Director and Chairman         British
                      Wilmington, DE  19899
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
OFFICERS:
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
M. Moody-Stuart       P. O. Box 8985                  President                     British
                      Wilmington, DE  19899
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
S. C. Stryker         P. O. Box 8985                  Vice President - Tax          USA
                      Wilmington, DE  19899
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
N. J. Caruso          P. O. Box 8985                  Treasurer and Controller      USA
                      Wilmington, DE  19899
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
J. B. Edrington       P. O. Box 8985                  Corporate Secretary           USA
                      Wilmington, DE  19899
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
R. W. Leftwich        P. O. Box 8985                  Assistant Treasurer           USA
                      Wilmington, DE  19899
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
S. K. Nalley          P. O. Box 8985                  Assistant Controller          USA
                      Wilmington, DE  19899
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
E. V. Phillips        P. O. Box 8985                  Assistant Secretary           USA
                      Wilmington, DE  19899
- ----------------------------------------------------------------------------------------------------

- ----------------------------------------------------------------------------------------------------
</TABLE>




<PAGE>   1
                                                                       EXHIBIT H

                                    JOINT FILING AGREEMENT

    The undersigned each agree that (i) the statement on Schedule 13D relating
to the common stock, par value $0.01 per share, of Brigham Exploration Company
has been adopted and filed on behalf of each of them, (ii) all future amendments
to such statement on Schedule 13D will, unless written notice to the contrary is
delivered as described below, be jointly filed on behalf of each of them, and
(iii) the provisions of Rule 13d-1(k)(1) under the Securities Exchange Act of
1934 apply to each of them. This agreement may be terminated with respect to the
obligation to jointly file future amendments to such statement on Schedule 13D
as to any of the undersigned upon such person giving written notice thereof to
each of the other persons signatory hereto, at the principal office thereof.

    EXECUTED as of March 27, 2000

                                               SHELL CAPITAL INC.


                                               By:    /s/ R.W. Leftwich
                                                  ------------------------------
                                               Name:  R.W. Leftwich
                                                    ----------------------------
                                               Title: President
                                                     ---------------------------

                                               SHELL OIL COMPANY


                                               By:    /s/ R.W. Leftwich
                                                  ------------------------------
                                               Name:  R.W. Leftwich
                                                    ----------------------------
                                               Title: Treasurer
                                                     ---------------------------


                                               SHELL PETROLEUM INC.


                                               By:    /s/ R.W. Leftwich
                                                  ------------------------------
                                               Name:  R.W. Leftwich
                                                    ----------------------------
                                               Title: Assistant Treasurer
                                                     ---------------------------





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