EXHIBIT 4 AMENDMENT NO. 1 TO RIGHTS AGREEMENT Amendment No. 1, dated as of September 30, 1997, to the Rights Agreement, dated as of February 13, 1996 (the "Agreement"), between United Meridian Corporation, a Delaware corporation (the "Company"), and Chemical Mellon Shareholder Services, L.L.C., a New Jersey limited liability company (the "Rights Agent"). W I T N E S S E T H: - - - - - - - - - - WHEREAS, the Company and the Rights Agent executed and delivered the Agreement specifying the terms of the Rights (as defined therein); WHEREAS, subsequent to the execution of the Agreement, the Rights Agent changed its name to ChaseMellon Shareholder Services, L.L.C.; and WHEREAS, the Board of Directors of the Company deems it desirable to amend the Agreement pursuant to the provisions of Section 26 of the Agreement to make certain modifications to the Agreement upon the terms and conditions hereinafter set forth, such modifications to be effective on the date hereinafter set forth. NOW, THEREFORE, in consideration of the premises and the mutual agreements herein set forth, the parties hereby agree as follows: 1. The definition of the term "Acquiring Person" set forth in Section 1(a) of the Agreement is hereby amended to read in its entirety as follows: "`Acquiring Person' shall mean any Person (as such term is hereinafter defined) who or which, together with all Affiliates (as such term is hereinafter defined) and Associates (as such term is hereinafter defined) of such Person, shall be the Beneficial Owner (as such term is hereinafter defined) of 10% or more of the Voting Stock (as such term is hereinafter defined) of the Company then outstanding; provided, that, an Acquiring Person shall not include (i) an Exempt Person (as such term is hereinafter defined), or (ii) any Person, together with all Affiliates and Associates of such Person, who or which would be an Acquiring Person solely by reason of (A) being the Beneficial Owner of shares of Voting Stock of the Company, the Beneficial Ownership of which was acquired by such Person pursuant to any action or transaction or series of related actions or transactions approved by the Board of Directors before such Person otherwise became an Acquiring Person, or (B) a reduction in the number of issued and outstanding shares of Voting Stock of the Company pursuant to a transaction or a series of related transactions approved by the Board of Directors of the Company; 1 provided, further, that in the event such Person described in this clause (ii) does not become an Acquiring Person by reason of subclause (A) or (B) of this clause (ii), such Person nonetheless shall become an Acquiring Person in the event such Person thereafter acquires Beneficial Ownership of an additional 1% or more of the Voting Stock of the Company, unless the acquisition of such additional Voting Stock would not result in such Person becoming an Acquiring Person by reason of subclause (A) or (B) of this clause (ii). Notwithstanding the foregoing, if the Board of Directors of the Company determines in good faith (but only if at the time of such determination by the Board of Directors there are then in office not less than a majority of directors who are Continuing Directors (as such term is hereinafter defined) and such action is approved by a majority of the Continuing Directors then in office) that a Person who would otherwise be an "Acquiring Person" as defined pursuant to the foregoing provisions of this paragraph (a) has become such inadvertently, and such Person divests as promptly as practicable a sufficient number of shares of Voting Stock so that such Person would no longer be an "Acquiring Person" as defined pursuant to the foregoing provisions of this paragraph (a), then such Person shall not be deemed an "Acquiring Person" for any purposes of this Rights Agreement." 2. This Amendment No. 1 to the Agreement shall become effective as of the close of business on September 30, 1997. This Amendment No. 1 to the Agreement may be executed in any number of counterparts and each of such counterparts shall for all purposes be deemed to be an original, and all such counterparts shall together constitute but one and the same instrument. 3. Except as specifically provided in this Amendment No. 1 to the Agreement, the Agreement shall remain in full force and effect and shall in no way be amended, modified or affected hereby. IN WITNESS WHEREOF, the parties hereto have caused this Amendment No. 1 to the Agreement to be duly executed, all as of the day and year first above-written. UNITED MERIDIAN CORPORATION By: /s/ Jonathan M. Clarkson ------------------------ Name: Jonathan M. Clarkson Title: Executive Vice President and Chief Financial Officer CHASEMELLON SHAREHOLDER SERVICES, L.L.C. By: /s/ R. John Davis ----------------- Name: R. John Davis Title: Vice President 2