1
                                                                    EXHIBIT 4.5

ANNEX A TO NOTE                      FOR THE PURCHASE OF _______________ SHARES


 THIS WARRANT HAS NOT BEEN REGISTERED UNDER THE SECURITIES ACT OF 1933,
        AS AMENDED, OR THE LAWS OF ANY STATE AND IS NOT TRANSFERRABLE.


                  STOCK PURCHASE WARRANT TO PURCHASE SHARES OF
               COMMON STOCK OF THE MERIDIAN RESOURCE CORPORATION


           This certifies that, for value received, _________________________
(the "Holder"), is entitled, subject to the terms and conditions of this
Warrant, at any time or from time to time during the Exercise Period (as
hereinafter defined), to purchase up to ______________ shares (subject to
adjustment pursuant to Section 9 below) of common stock, $.01 par value
("Common Stock"), of The Meridian Resource Corporation, a Texas corporation
(the "Company") (the shares of Common Stock issuable upon exercise of this
Warrant, as adjusted under Section 9, being referred to herein as the "Warrant
Shares"). This is one of the Warrants issued pursuant to the terms and
conditions of the Notes dated June 18, 1999 (the "Notes") pursuant to that
certain Note Purchase Agreement dated June 18, 1999 among the Company and Kayne
Anderson Energy Fund, L.P. (the "Note Purchase Agreement").

           1.        FORM OF ELECTION.

                     The form of election to purchase shares of Common Stock
(the "Form of Election") shall be substantially as set forth in Exhibit A
attached hereto. The price per Warrant Share and the number of Warrant Shares
issuable upon exercise of this Warrant are subject to adjustment upon the
occurrence of certain events, all as hereinafter provided.

           2.        EXERCISE PERIOD; EXERCISE OF WARRANT.

                     2.1 Exercise Period. Subject to the terms of this Warrant,
           the Holder shall have the right, which may be exercised at any time
           or from time to time during the Exercise Period, to purchase from
           the Company the number of fully paid and nonassessable Warrant
           Shares this Warrant at the time represents the right to purchase,
           and, in the event that this Warrant is exercised in respect of fewer
           than all of the Warrant Shares purchasable on such exercise, a new
           warrant evidencing the remaining Warrant Shares that may be
           purchased shall be promptly signed, issued and delivered by the
           Company to the Holder pursuant to the provisions of this Section 2.
           The term "Exercise Period" shall mean the period commencing on the
           date hereof (the date of issuance of this Warrant) and ending on
           June 21, 2001.

                     2.2 Exercise of Warrant. This Warrant may be exercised
           upon surrender to the Company at its principal office (as designated
           in Section 12) of this Warrant, together with the Form of Election
           duly completed and signed, stating therein the election of such
           holder to exercise the Warrant in the manner provided in the Form of
           Election; (ii) payment in full of the Warrant Price (as hereinafter
           defined) (A) in cash or by certified bank check for all Warrant
           Shares purchased hereunder, or (B) through a "cashes" or "net-issue"
           exercise of each such Warrant ("Cashless Exercise"); the holder
           shall exchange each Warrant subject to a Cashes Exercise for that
           number of Warrant Shares


                                      A-1

   2

           determined by multiplying the number of Warrant Shares issuable
           hereunder by a fraction, the numerator of which shall be the
           difference between (x) the Market Price (as hereinafter defined) and
           (y) the Warrant Price for each such Warrant, and the denominator of
           which shall be the Market Price; the Form of Election shall set
           forth the calculation upon which the Cashes Exercise is based. The
           Warrant shall be deemed to be exercised on the date of receipt by
           the Company of the Form of Election, accompanied by payment for the
           Warrant Shares and surrender of the Warrant, as aforesaid, and such
           date is referred to herein as the "Exercise Date". Market Price
           shall mean the last reported closing price for the Common Stock as
           reported on the New York Stock Exchange (or other principal exchange
           or national quotation system if not traded on the New York Stock
           Exchange) prior to the Exercise Date.

                     Subject to Section 6 hereof, upon the surrender of this
           Warrant and payment of the Warrant Price as set forth above, the
           Company shall issue and cause to be delivered to the Holder or, upon
           the written order of the Holder, to and in such name or names as the
           Holder may designate, a certificate or certificates for the number
           of full Warrant Shares so purchased upon the exercise of this
           Warrant. Such certificate or certificates shall be deemed to have
           been issued and any person so designated to be named therein shall
           be deemed to have become a holder of record of such Warrant Shares
           as of the date of the surrender of this Warrant (together with the
           duly completed and signed Form of Election) and payment of the
           Warrant Price, as aforesaid.

           3.        WARRANT PRICE.

                     The price per share at which each of the Warrant Shares
shall be purchasable upon exercise of this Warrant initially shall be
$__________ (the Conversion Price (as defined in the Notes) existing on the
date hereof), which price shall be subject to adjustment pursuant to Section 9
hereof (such prices as so adjusted are referred to herein as the "Warrant
Price").

           4.        EXCHANGE OF WARRANT.

                     This Warrant may be exchanged at the option of the Holder
when surrendered at the principal office of the Company for another warrant, or
other warrants of different denominations, of like tenor and representing in
the aggregate the right to purchase a like number of Warrant Shares as this
Warrant then entitles the Holder to purchase. Any Holder desiring to exchange
this Warrant shall make such request in writing delivered to the Company, and
shall surrender this Warrant for exchange. Thereupon, the Company shall
promptly sign and deliver to the person entitled thereto a new warrant or
warrants, as the case may be, as so requested.

           5.        NO REGISTRATION OF WARRANT.

                     This Warrant has not been registered under the Securities
Act of 1933, as amended (the "Securities Act"), or any applicable state
securities laws. The Holder represents and agrees that this Warrant has been,
and, upon exercise hereof, any Warrant Shares will be, acquired for investment
and not with a view to distribution or resale. The Holder further acknowledges
and agrees that this Warrant may not be transferred, and the Warrant Shares,
upon exercise of this Warrant, may not be transferred, without an effective
registration statement therefor under the Securities Act and applicable state
securities laws or an opinion of counsel satisfactory to the Company that
registration is not required thereunder. Unless registered, any Warrant Shares
shall bear the following legend:


                                      A-2

   3



           THE SHARES REPRESENTED BY THIS CERTIFICATE HAVE NOT BEEN REGISTERED
           UNDER THE SECURITIES ACT OF 1933, AS AMENDED, OR ANY APPLICABLE
           STATE SECURITIES LAWS, AND MAY NOT BE OFFERED, SOLD OR OTHERWISE
           TRANSFERRED, PLEDGED OR HYPOTHECATED UNLESS AND UNTIL SUCH SHARES
           ARE REGISTERED UNDER SUCH ACT, OR SUCH STATE LAWS, OR AN OPINION OF
           COUNSEL IS FURNISHED TO THE COMPANY (WHICH OPINION AND COUNSEL
           RENDERING SAME SHALL BE REASONABLY SATISFACTORY TO THE COMPANY) TO
           THE EFFECT THAT SUCH REGISTRATION IS NOT REQUIRED.

           6.        PAYMENT OF TAXES.

                     The Company will pay when due and payable any and all U.S.
federal and state transfer taxes and charges that may be payable in respect of
the issuance or delivery of this Warrant or of any Warrant Shares upon the
exercise of this Warrant. The Company shall not, however, be required to (i)
pay any transfer tax that may be payable in respect of any transfer involved in
the issuance or delivery of certificates for Warrant Shares in the name other
than that of the Holder or (ii) issue or deliver any certificates for Warrant
Shares upon the exercise of this Warrant until such tax shall have been paid
(any such tax being payable by the Holder at the time of surrender) or until it
has been established to the Company's satisfaction that no such tax is due.

           7.        MUTILATED OR MISSING WARRANT.

                     In case this Warrant shall be mutilated, lost, stolen or
destroyed, the Company shall execute, issue and deliver in exchange and
substitution for and upon cancellation of the mutilated Warrant, or in lieu of
and substitution for the lost, stolen or destroyed Warrant, a new warrant of
like tenor and representing an equivalent right or interest, but only upon
receipt of evidence satisfactory to the Company of such loss, theft or
destruction of this Warrant and indemnity, if requested, satisfactory to the
Company. The Holder requesting such a substitute warrant shall also comply with
such other reasonable regulations and pay such other reasonable charges as the
Company may prescribe.

           8. RESERVATION OF WARRANT SHARES; PURCHASE OF WARRANT BY THE
COMPANY.

                     8.1 Reservation of Warrant Shares. The Company shall at
           all times reserve for issuance from its authorized and unissued
           shares of Common Stock the number of shares of Common Stock needed
           for issuance upon the exercise of this Warrant. The Company
           covenants that all shares of Common Stock issuable as herein
           provided shall, when so issued, be duly and validly issued, fully
           paid and nonassessable.

                     8.2 Purchase of Warrant by the Company. The Company shall
           not be prohibited, except as limited by applicable law, any other
           agreement or herein, from offering to purchase, purchasing or
           otherwise acquiring this Warrant from any holder thereof at such
           times, in such manner and for such consideration as the Company and
           such holder may agree to.

                     8.3 Cancellation of Purchased or Acquired Warrant. In the
           event the Company shall purchase or otherwise acquire this Warrant,
           the same shall thereupon be canceled and retired.



                                      A-3

   4



           9.        ADJUSTMENT OF WARRANT PRICE AND NUMBER OF WARRANT SHARES.

                     The Warrant Price shall be subject to adjustment from time
to time as follows:

                     9.1       Certain Adjustments.

                               (a) In case the Company shall (1) pay a dividend
           to all holders of its Common Stock or make a distribution on its
           Common Stock to all holders of its Common Stock, which is paid or
           made (A) in other shares of stock of the Company or (B) in rights to
           purchase stock or other securities if such rights are not separable
           from the Common Stock except upon the occurrence of a contingency,
           (2) subdivide its outstanding shares of Common Stock into a greater
           number of shares or (3) combine its outstanding shares of Common
           Stock into a smaller number of shares, then in each such case the
           Warrant Price in effect immediately prior thereto and the securities
           issuable shall be adjusted retroactively as provided below so that
           the Holder of this Warrant shall be entitled to receive the number
           of shares of Common Stock of the Company and other shares and rights
           to purchase stock or other securities which such holder would have
           owned or have been entitled to receive after the happening of any of
           the events described above had such Warrant been exercised
           immediately prior to the happening of such event. In the event of
           the redemption of any shares or rights referred to clause (1), such
           Holder shall have the right to receive, in lieu of any such shares
           or rights, any cash, property or securities paid in respect of such
           redemption; provided, however, that if the value of such cash,
           property or securities is less than $.10 per share of Common Stock,
           such holder shall not be entitled to such cash, property or
           securities. An adjustment made pursuant to this subparagraph (a)
           shall become effective immediately after the record date in the case
           of a dividend or distribution and shall become effective immediately
           after the effective date in the case of a subdivision or
           combination.

                               (b) In case the Company shall issue rights or
           warrants to all holders of its Common Stock entitling them (for a
           period expiring within 45 days after the date fixed for
           determination mentioned below) to subscribe for or purchase shares
           of Common Stock at a price per share less than the current market
           price per share (determined as provided below) of the Common Stock
           on the date fixed for the determination of shareholders entitled to
           receive such rights or warrants, then the Warrant Price in effect at
           the opening of business on the day following the date fixed for such
           determination shall be reduced by multiplying such Warrant Price by
           a fraction of which the denominator shall be the number of shares of
           Common Stock outstanding at the close of business on the date fixed
           for such determination plus the number of shares of Common Stock so
           offered for subscription or purchase and the numerator shall be the
           number of shares of Common Stock outstanding at the close of
           business on the date fixed for such determination plus the number of
           shares of Common Stock that the aggregate of the offering price of
           the total number of shares of Common Stock so offered for
           subscription or purchase would purchase at such current market
           price, such reduction to become effective immediately after the
           opening of business on the day following the date fixed for such
           determination; provided, however, in the event that all the shares
           of Common Stock offered for subscription or purchase are not
           delivered upon the exercise of such rights or warrants, upon the
           expiration of such rights or warrants the Warrant Price shall be
           readjusted to the Warrant Price that would have been in effect had
           the denominator and the numerator of the foregoing fraction and the
           resulting adjustment been made based upon the number of shares of
           Common Stock actually delivered upon the exercise of such rights or
           warrants rather than upon the number of shares of Common Stock
           offered for subscription or purchase. For the purposes of this
           subparagraph (b), the


                                      A-4

   5



           number of shares of Common Stock at any time outstanding shall not
           include shares held in the treasury of the Company.

                               (c) If the Company shall, by dividend or
           otherwise, distribute to all holders of its Common Stock evidences
           of its indebtedness, cash (excluding regular quarterly cash
           dividends in a per share amount (appropriately adjusted for stock
           splits and stock dividends) not in excess of 200% of the amount most
           recently paid ("Regular Cash Dividends")), other assets or rights or
           warrants to subscribe for or purchase any security (excluding those
           referred to in subparagraphs (i) and (ii) above), then in each such
           case the Warrant Price shall be adjusted retroactively so that the
           same shall equal the price determined by multiplying the Warrant
           Price in effect immediately prior to the close of business on the
           date fixed for the determination of shareholders entitled to receive
           such distribution by a fraction of which the denominator shall be
           the current market price per share (determined as provided below) of
           the Common Stock on the date fixed for such determination and the
           numerator shall be such current market price per share of the Common
           Stock less the amount of cash and the then fair market value (as
           determined by the Board of Directors in good faith, whose
           determination shall be conclusive and described in a resolution of
           the Board of Directors) of the portion of the assets, rights or
           evidences of indebtedness so distributed applicable to one share of
           Common Stock, such adjustment to become effective immediately prior
           to the opening of business on the day following the date fixed for
           the deter mination of shareholders entitled to receive such
           distribution.

                               (d) If (i) the Company shall ever, in connection
           with a merger, consolidation, share exchange, or acquisition of a
           business or properties or similar transaction, or in a private
           placement of securities, sell or issue or commit to sell or issue
           1,000,000 (as adjusted for stock splits, reverse splits,
           reclassifications, and similar actions) or more shares of Common
           Stock or options, warrants or other securities exchangeable or
           convertible into Common Stock (other than securities issued pursuant
           to employee benefit plans and similar arrangements or pursuant to
           contractual and other arrangements existing on the date of issuance
           of this Warrant) that, at the time of issuance, sale or commitment
           and assuming full conversion, exchange or exercise thereof,
           represent 1,000,000 (as adjusted for stock splits, reverse splits,
           reclassifications, and similar actions) or more shares of Common
           Stock and (ii) at or prior to the meeting of the Company's Board of
           Directors approving any such transaction the Company's Board of
           Directors shall not have received an opinion letter from an
           investment banking firm of national recognition to the effect that
           the contemplated transaction is fair, from a financial point of
           view, to the Company, then, and in each such case, the Warrant Price
           then in effect shall be adjusted by dividing the Warrant Price in
           effect on the day immediately prior to the date (the "Date") of
           approval by the Board of Directors of the issuance or sale by a
           fraction (x) the numerator of which shall be the sum of all of the
           outstanding shares of Common Stock on such date plus the number of
           additional shares of Common Stock to be issued or issued (or the
           maximum number into which such convertible or exchangeable
           securities initially may convert or exchange or for which such
           options, warrants or other rights initially may be exercised) and
           (y) the denominator of which shall be the sum of the number of
           shares of Common Stock outstanding on the date plus the number of
           shares of Common Stock plus the number of shares of Common Stock
           that an investment banking firm of national recognition or "Big 5"
           public accounting firm determines in good faith would need to be
           issued (or into which such convertible or exchangeable securities
           initially should convert or be exchange for or for which such
           options, warrants or other rights initially should be exercised) in
           order for the transaction in question to be fair to the Company from
           a financial point of view. If any convertible or exchangeable
           securities, options, warrants or other rights (or any portions
           thereof) which shall have given rise to an adjustment pursuant to
           this Section (d) shall have expired or terminated


                                      A-5

   6



           without the exercise thereof and/or if by reason of the terms of
           such convertible or exchangeable securities, options, warrants or
           other rights there shall have been an increase or increases, with
           the passage of time or otherwise, in the price payable upon the
           exercise or conversion thereof, then the Warrant Price hereunder
           shall be readjusted (but to no greater extent than originally
           adjusted) on the basis of (x) eliminating from the computation any
           additional shares of Common Stock corresponding to such convertible
           or exchangeable securities, options, warrants or other rights as
           having been issued for the consideration actually received and
           receivable therefor and (z) treating any of such convertible or
           exchangeable securities, options, warrants or other rights which
           remain outstanding as being subject to exercise or conversion on the
           basis of such exercise or conversion rice as shall be in effect at
           this time.

                               (e) For the purpose of any computation under
           subparagraphs (b) and (c) or Section 9, the current market price per
           share of Common Stock on any date shall be deemed to be the average
           of the daily closing prices for the 30 consecutive trading days
           commencing with the 45th trading day before the day in question. The
           closing price for each day shall be the reported last sales price
           regular way or, in case no such reported sale takes place on such
           day, the average of the reported closing bid and asked prices
           regular way, in either case on the New York Stock Exchange or, if
           the Common Stock is not listed or admitted to trading on such
           Exchange, on the principal national securities exchange on which the
           Common Stock is listed or admitted to trading (based on the
           aggregate dollar value of all securities listed or admitted to
           trading) or, if not listed or admitted to trading on any national
           securities exchange, on the NASDAQ National Market System or, if the
           Common Stock is not listed or admitted to trading on any national
           securities exchange or quoted on the NASDAQ National Market System,
           the average of the closing bid and asked prices in the
           over-the-counter market as furnished by any New York Stock Exchange
           member firm selected from time to time by the Company for that
           purpose, or, if such prices are not available, the fair market value
           set by, or in a manner established by, the Board of Directors of the
           Company in good faith. "Trading day" shall mean a day on which the
           national securities exchange or the NASDAQ National Market System
           used to determine the closing price is open for the transaction of
           business or the reporting of trades or, if the closing price is not
           so determined, a day on which the New York Stock Exchange is open
           for the transaction of business.

                               (f) No adjustment in the Warrant Price shall be
           required unless such adjustment would require an increase or
           decrease of at least 1% in such price; provided, however, that the
           Company may make any such adjustment at its election; and provided,
           further, that any adjustments which by reason of this subparagraph
           (f) are not required to be made shall be carried forward and taken
           into account in any subsequent adjustment. All calculations under
           this Section 9 shall be made to the nearest cent or to the nearest
           one-hundredth of a share, as the case may be.

                               (g) Whenever the Warrant Price is adjusted as
           provided in any provision of this Section 9, the Company shall
           compute the adjusted Warrant Price in accordance with this Section 9
           and shall prepare a certificate signed by the principal financial
           officer of the Company setting forth the adjusted Warrant Price and
           showing in reasonable detail the facts upon which such adjustment is
           based, and such certificate shall be mailed to the Holder of this
           Warrant.

                               (h) If at any time, as a result of any
           adjustment made pursuant to this Section 9, the Holder of this
           Warrant, upon exercise, shall become entitled to receive any shares
           of the Company other than shares of Common Stock or to receive any
           other securities, the number of such other shares


                                      A-6

   7



           or securities so receivable upon exercise of this Warrant shall be
           subject to adjustment from time to time in a manner and on terms as
           nearly equivalent as practicable to the provisions contained in this
           Section 9 with respect to the Common Stock.

                     9.2 Reclassification, Consolidation, Merger or Sale of
           Assets. In case of any reclassification of the Common Stock, any
           consolidation of the Company with, or merger of the Company into,
           any other person, any merger of another person into the Company
           (other than a merger which does not result in any reclassification,
           conversion, exchange or cancellation of outstanding shares of Common
           Stock of the Company), any sale or transfer of all or substantially
           all of the assets of the Company or any compulsory share exchange
           pursuant to which share exchange the Common Stock is converted into
           other securities, cash or other property, then lawful provision
           shall be made as part of the terms of such transaction whereby the
           Holder of this Warrant shall have the right thereafter, upon
           exercise of this Warrant, to receive only the amount of securities,
           cash and other prop erty receivable upon such reclassification,
           consolidation, merger, sale, transfer or share exchange by a holder
           of the number of shares of Common Stock of the Company that the
           Holder of this Warrant would have been entitled to receive upon
           exercise immediately prior to such reclassification, consolidation,
           merger, sale, transfer or share exchange assuming such Holder of
           this Warrant(i) is not a person with which the Company consolidated
           or into which the Company merged or which merged into the Company,
           to which such sale or transfer was made or a party to such share
           exchange, as the case may be ("constituent person"), or an affiliate
           of a constituent person and (ii) failed to exercise his rights of
           election, if any, as to the kind or amount of securities, cash and
           other property receivable upon such reclassification, consolidation,
           merger, sale, transfer or share exchange (provided that if the kind
           or amount of securities, cash and other property receivable upon
           such reclassification, consolidation, merger, sale, transfer or
           share exchange is not the same for each share of Common Stock of the
           Company held immediately prior to such consolidation, merger, sale
           or transfer by other than a constituent person or an affiliate
           thereof and in respect of which such rights of election shall not
           have been exercised ("non-electing share"), then the kind and amount
           of securities, cash and other property receivable upon such
           reclassification, consolidation, merger, sale, transfer or share
           exchange by each non-electing share shall be deemed to be the kind
           and amount so receivable per share by a plurality of the
           non-electing shares). The Company, the person formed by such
           consolidation or resulting from such merger or which acquires such
           assets or which acquires the Company's shares, as the case may be,
           shall make provisions in its certificate or articles of
           incorporation or other constituent document to establish such right.
           Such certificate or articles of incorporation or other constituent
           document shall provide for adjustments which, for events subsequent
           to the effective date of such certificate or articles of in Company
           or other constituent document, shall be as nearly equivalent as may
           be practicable to the adjustments provided for in this Section 9.2.
           The above provisions shall similarly apply to successive
           reclassifications, consolidations, mergers, sales, transfers or
           share exchanges.

                     9.3 Reservation of Shares; Transfer Taxes; Etc. (a) The
           Company shall at all times reserve and keep available, out of its
           authorized and unissued stock, solely for the purpose of effecting
           the exercise of this Warrant, such number of shares of its Common
           Stock free of preemptive rights as shall from time to time be
           sufficient to effect the exercise of this Warrant. The Company shall
           from time to time, in accordance with the laws of the State of
           Texas, increase the authorized number of shares of Common Stock if
           at any time the number of shares of Common Stock not outstanding
           shall not be sufficient to permit the exercise of this Warrant.



                                      A-7

   8



                               (b) If any shares of Common Stock required to be
           reserved for purposes of exercise of this Warrant require
           registration with or approval of any governmental authority under
           any Federal or State law before such shares may be issued upon
           conversion, the Company will in good faith and as expeditiously as
           possible endeavor to cause such shares to be duly registered or
           approved, as the case may be. If the Common Stock is listed on the
           New York Stock Exchange or any other national securities exchange,
           the Company will, if permitted by the rules of such exchange, as
           soon as practicable following exercise of this Warrant, list and
           keep listed on such exchange, upon official notice of issuance, all
           shares of Common Stock issuable upon conversion of the Convertible
           Preferred Stock.

                               (c) The Company will pay any and all issue or
           other taxes that may be payable in respect of any issue or delivery
           of shares of Common Stock on exercise of this Warrant. The Company
           shall not, however, be required to pay any tax which may be payable
           in respect of any transfer involved in the issue or delivery of
           Common Stock (or other securities or assets) in a name other than
           that of the Holder of this Warrant, and no such issue or delivery
           shall be made unless and until the person requesting such issue has
           paid to the Company the amount of such tax or has established, to
           the satisfaction of the Company, that such tax has been paid.

                               (d) Before taking any action which would cause
           an adjustment reducing the Warrant Price to less than the then par
           value of the Common Stock, the Company will take any corporate
           action which may, in the opinion of its counsel, be necessary in
           order that the Company may validly and legally issue fully paid and
           nonassessable shares of Common Stock at the Warrant Price as so
           adjusted.

                     9.4       Prior Notice of Certain Events.  In case:

                     (i) the Company shall (1) declare any dividend (or any
           other distribution) on its Common Stock, other than (A) a dividend
           payable in shares of Common Stock or (B) Regular Cash Dividends or
           (2) declare or authorize a redemption or repurchase of in excess of
           20% of the then-outstanding shares of Common Stock; or

                     (ii) the Company shall authorize the granting to the
           holders of Common Stock of rights or warrants to subscribe for or
           purchase any shares of stock of any class or of any other rights or
           warrants (other than any rights specified in paragraph
           9.1(a)(i)(1)(B) of this Section 9); or

                     (iii) of any reclassification of Common Stock (other than
           a subdivision or combination of the outstanding Common Stock, or a
           change in par value, or from par value to no par value, or from no
           par value to par value), or of any consolidation or merger to which
           the Company is a party and for which approval of any shareholders of
           the Company shall be required, or of the sale or transfer of all or
           substantially all of the assets of the Company or of any compulsory
           share exchange whereby the Common Stock is converted into other
           securities, cash or other property; or

                     (iv) of the voluntary or involuntary dissolution,
           liquidation or winding up of the Company; then the Company shall
           cause to be mailed to the Holder of this Warrant at least 15 days
           prior to the applicable record date hereinafter specified, a notice
           stating (x) the date on which a record is to be taken for the
           purpose of such dividend, distribution, redemption or granting of
           rights or warrants or, if a record is not to be taken, the date as
           of which the holders of Common Stock of record to be entitled


                                      A-8

   9



           to such dividend, distribution, redemption, rights or warrants are
           to be determined, or (y) the date on which such reclassification,
           consolidation, merger, sale, transfer, share exchange, dissolution,
           liquidation or winding up is expected to become effective, and the
           date as of which it is expected that holders of Common Stock of
           record shall be entitled to exchange their shares of Common Stock
           for securities or other property deliverable upon such
           reclassification, consolidation, merger, sale, transfer, share
           exchange, dissolution, liquidation or winding up (but no failure to
           mail such notice or any defect therein or in the mailing thereof
           shall affect the validity of the corporate action required to be
           specified in such notice).

                     9.5 Other Changes in Warrant Price. The Company from time
           to time may reduce the Warrant Price by any amount for any period of
           time. Whenever the Warrant Price is so reduced, the Company shall
           mail to holders of record of the Convertible Preferred Stock a
           notice of the reduction at least 10 days before the date the reduced
           Warrant Price takes effect, and such notice shall state the reduced
           Warrant Price and the period it will be in effect. The Company may
           make such reductions in the Warrant Price, in addition to those
           required or allowed by this Section 9, as shall be determined by it,
           as evidenced by a resolution of the Board of Directors, to be
           advisable in order to avoid or diminish any income tax to holders of
           Common Stock resulting from any dividend or distribution of stock or
           issuance of rights or warrants to purchase or subscribe for stock or
           from any event treated as such for income tax purposes.

           10.       FRACTIONAL INTERESTS.

                     The Company shall not be required to issue fractional
Warrant Shares on the exercise of this Warrant and the number of Warrant Shares
issuable upon such exercise shall be rounded down to the nearest whole share.

           11.       NO RIGHTS AS SHAREHOLDERS; NOTICES TO HOLDER.

                     Nothing contained in this Warrant shall be construed as
conferring upon the Holder the right to vote or to receive dividends or to
consent to or receive notice as a stockholder in respect of any meeting of
stockholders for the election of directors of the Company or any other matter,
or any rights whatsoever as a stockholder of the Company. If, however, at any
time during the Exercise Period:

                               (a) the Company shall declare any dividend
                     payable in any securities upon shares of Common Stock or
                     make any distribution (other than a cash dividend or a
                     dividend payable in additional shares of Common Stock) to
                     the holders of shares of Common Stock;

                               (b) the Company shall offer to the holders of
                     shares of Common Stock any additional shares of Common
                     Stock or securities convertible or exchangeable into
                     shares of Common Stock or any right to subscribe to shares
                     of Common Stock or securities convertible or exchangeable
                     into shares of Common Stock; or

                               (c) a dissolution, liquidation or winding up of
                     the Company (other than in connection with a
                     consolidation, merger or sale of all or substantially all
                     of its property, assets and business as an entirety) shall
                     be proposed;



                                      A-9

   10



then in any one or more of such events, the Company shall give notice in
writing of such event to the Holder as provided in Section 12 hereof at least
10 days prior to the date fixed as a record date or the date of closing the
transfer books for the determination of the shareholders entitled to such
dividend, distribution or subscription rights, or for the determination of
shareholders entitled to vote on such proposed dissolution, liquidation or
winding up. Such notice shall specify such record date or date of the closing
of the transfer books, as the case may be. Failure to mail such notice or any
defect therein or in the mailing thereof shall not affect the validity of any
action taken in connection with such dividend, distribution or subscription
rights, or proposed dissolution, liquidation or winding up.

           12.       NOTICES.

           All notices, requests, consents and other communications hereunder
shall be in writing and shall be deemed to have been made when delivered or
mailed first class, postage prepaid:

                               (i) if to the Holder at:

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

                               (ii) if to the Company at:

                                          The Meridian Resource Corporation
                                          Attn: President

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

or to such other address or addresses as the Holder or the Company may
designate from time to time for itself by a notice pursuant hereto.

           13.       SUCCESSORS.

                     No party hereto may assign its rights or obligations
hereunder without the prior written consent of the other party; provided,
however, the Holder may assign this Warrant in whole or in part to one or more
affiliates, upon prior written notice to the Company.

           14.       APPLICABLE LAW.

                     This Warrant shall be governed by and construed in
accordance with the laws of the State of Texas.

           15.       BENEFITS OF WARRANT.

                     Nothing in this Warrant shall give or be construed to give
any person or corporation other than the Company and the Holder any legal or
equitable right, remedy or claim under this Warrant. This Warrant shall be for
the sole and exclusive benefit of the Company and the Holder.



                                      A-10

   11



           16.       CAPTIONS.

                     The captions of the sections of this Warrant have been
inserted for convenience only and shall have no substantive effect.

                     SIGNATURES BEGIN ON THE FOLLOWING PAGE






                                      A-11

   12



           IN WITNESS WHEREOF, the parties hereto have caused this Warrant to
be duly executed as of the ___ day of ___, 19___.

                                             THE MERIDIAN RESOURCE CORPORATION


                                             By:
                                                 -----------------------------
                                             Name:
                                                   ---------------------------
                                             Title:
                                                   ---------------------------





                                      A-12

   13


                                                                  EXHIBIT A

                                FORM OF ELECTION

                          To be Executed by the Holder
                              to Exercise Warrant

                       The Meridian Resource Corporation

           The undersigned hereby exercises the right to purchase shares of
common stock covered by this Warrant according to the conditions thereof and
herewith makes payment in full of the Warrant Price of such shares. If payment
of the Warrant Price shall be by Cashes Exercise. A calculation upon which the
Cashes Exercise is based is attached to this Form of Election.


                                         [INDIVIDUAL]


                                         Signature
                                                   ----------------------------
                                               Name:
                                                    ---------------------------

                                         Address
                                                    ---------------------------
                                                    ---------------------------
                                                    ---------------------------


Dated: ____________, ____.


                                         [CORPORATION OR PARTNERSHIP OR TRUST]

                                             ----------------------------------
                                                     (Name of Entity)


                                               By:
                                                    ---------------------------

                                               Name:
                                                    ---------------------------
                                               Title:
                                                    ---------------------------

                                         Address
                                                    ---------------------------
                                                    ---------------------------
                                                    ---------------------------



Dated: ____________, ____.



                                      A-13