Document:

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                                                                    EXHIBIT 10.6

                   OFFICER SEVERANCE AND PUT RIGHT AGREEMENT

     This Officer Severance and Put Right Agreement ("Agreement") is made and
entered into as of this See Schedule I attached, by and between Pure Resources,
                        -----------------------
Inc., a Delaware corporation (the "Company"), and See Schedule I attached, an
                                                  -----------------------
individual currently residing in Midland, Texas ("Officer").

                                    RECITALS
                                    --------

     The Board of Directors of the Company (the "Board") has determined that it
is in the best interest of the Company to assure that the Company will have the
continued dedication of Officer, notwithstanding the consummation as of 11:58
p.m. Central time on May 25, 2000 (the "Effective Time") of the transactions
contemplated by that certain Agreement and Plan of Merger (the "Merger
Agreement"), dated December 13, 1999, among Union Oil Company of California, the
Company, TRH, Inc. and Titan Exploration, Inc. and the possibility, threat or
occurrence of a Company Change of Control or a Unocal Change of Control (each as
defined below). The Board believes it is imperative to diminish the inevitable
distraction of Officer by virtue of the personal uncertainties and risks created
by a pending or threatened Company Change of Control or Unocal Change of
Control, to encourage Officer's full attention and dedication to the Company
currently and in the event of any threatened or pending Company Change of
Control or Unocal Change of Control, and to provide Officer with compensation
and benefit arrangements upon a Company Change of Control or Unocal Change of
Control which ensures that such compensation and benefits are competitive with
other corporations.

                                   AGREEMENT
                                   ---------

     Now, therefore, in consideration of Officer's continued employment by the
Company or an affiliate of the Company, as well as the promises, covenants and
obligations contained herein, the Company and Officer agree as follows:

     1.   Severance and Other Benefits.
          ----------------------------

          (a) Severance Payment.  Upon the occurrence of a Termination Event (as
              -----------------
     defined in Section 3):

               (i)   within 30 days following such Termination Event, upon
          Officer's execution of a General Release materially in the form
          attached hereto as Exhibit A (the "General Release"), the Company or
          its successor (or an affiliate of the Company or any successor
          thereto) shall pay Officer an amount equal to Officer's Annual Base
          Salary (as defined in Section 3) multiplied by 1.0, payable as a lump
          sum cash payment;

               (ii)  if Officer was participating in a life insurance and/or
          disability benefit plan maintained by an Employer as of his or her
          Termination Date, such coverage will be continued at the same cost, if
          any, charged to similarly situated active employees under such plans
          for a period of eighteen months following the Termination Date or, if
          earlier, the date as of which Officer obtains other employment.
          Officer shall immediately notify the Company upon obtaining other
          employment;

               (iii) if Officer was participating in a hospital, surgical,
          medical or dental benefit plan maintained by an Employer as of his or
          her Termination Date and if Officer elects to continue such coverage
          under the Consolidated Omnibus Budget Reconciliation Act of 1985
          ("COBRA"), Officer will be reimbursed the premiums paid to continue
          such coverage under
<PAGE>

          COBRA until the date as of which Officer obtains other employment.
          Officer shall immediately notify the Company upon obtaining other
          employment;

               (iv) all restricted stock, options or other rights with respect
          to equity interests in the Company and/or its affiliates granted to
          Officer on or before such Termination Date shall immediately vest as
          of the Termination Date; and

               (v)  the Company or any successor thereto (or an affiliate of the
          Company or any successor thereto) shall take all such action as may be
          necessary or appropriate to amend any option to purchase the Company's
          common stock held by Officer to provide that such option will not
          terminate as a result of or in connection with Officer's termination
          of employment with the Company or any successor thereto (or an
          affiliate of the Company or any successor thereto), but may continue
          to be exercised following such termination of employment until the
          date on which such options otherwise would expire.

      2.  Put Right.
          ---------

      (a) Upon the occurrence of a Put Event, Officer shall have the option (the
"Put Option"), exercisable at any time before the 90th day after the Put Event,
to sell to the Company all or part (in each case, subject to Section 2(e)) of
his Continuing Company Shares at a price calculated in accordance with the
provisions of Section 2(d); provided, however, that if Officer fails to exercise
such Put Option (other than with respect to a Put Event described in clause
(iii) of the definition of Put Event) or exercises such Put Option for less than
all of his Continuing Company Shares, Officer shall not have the right to
require the Company to purchase any shares upon the occurrence of any future Put
Event. If Officer exercises the Put Option within the specified period by giving
notice (the "Put Notice") to the Company of his or her election to do so (the
date such notice is given is the "Put Date"), the Company shall be required to
purchase all (but, subject to Section 2(e), not less than all) of the Continuing
Company Shares specified by Officer in the Put Notice (which may include
Continuing Company Shares owned by Officer as of the Put Date and/or Continuing
Company Shares to be acquired by the Officer pursuant to option exercises after
the Put Date but on or before the Put Closing), such purchase to be effected in
the manner, upon the terms and for the consideration set forth hereafter. In the
event of Officer's death, Officer's heirs or beneficiaries shall have the right
to exercise the Put Option described above.

     (b) The consummation of any purchase required under this Section 2 shall be
held at a "Put Closing", and the time and date upon which the Put Closing shall
take place shall constitute the "Put Closing Date". The Put Closing shall be
held at the principal office of the Company on the date designated by Officer in
the Put Notice or on such other date as shall be mutually agreed upon in writing
by the Company and Officer; provided, however, that the Put Closing Date shall
not be more than 30 days (or a period of such additional length as reasonably
necessary to complete the additional valuations contemplated in the definition
of Net Asset Value) nor less than three days after the delivery of the Put
Notice. In addition to providing the Put Closing Date, the Put Notice shall set
forth the number of shares to be purchased by the Company and the Purchase Price
(as defined below).

     (c) At the Put Closing, Officer shall present to the Company all share
certificates for Continuing Company Shares required to be purchased, duly
endorsed in blank and in proper form for transfer, or with separate stock powers
attached, duly endorsed in blank and in proper form for transfer, free and clear
of any encumbrances. At the Put Closing, the Company, upon receipt of a
conforming tender from Officer, shall tender full payment of the Purchase Price
in immediately available funds by confirmed wire transfer to a

                                      -2-
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bank account to be designated by Officer (such designation to occur no later
than the second business day prior to the Put Closing Date).

     (d) The total purchase price (the "Purchase Price") for all the shares of
Common Stock to be purchased pursuant to this Section 2 shall be equal to the
number of shares of Continuing Company Shares held by, or issuable to, Officer
which are subject to the Put Closing multiplied by the Price Per Share.  The
"Price Per Share" shall be equal to the Net Asset Value divided by the Fully-
Diluted Outstanding Share Amount, each determined as of the Put Date.

     (e) If the Company is unable to consummate any desired purchase of
Continuing Company Shares pursuant to the terms of this Agreement because of
limitations contained in the Delaware Business Corporation Act (or a successor
statute thereof) or other applicable law, the Company agrees to use its best
efforts to take all such action as may be available to place the Company in a
position to carry out any required purchase under this Agreement.  If the
Company, after the taking of any action by it as contemplated in the immediately
preceding sentence, is unable to consummate the purchase of all the shares of
Officer's Continuing Company Shares as required, the Company shall purchase at
the applicable price all shares of Continuing Company Shares that the Company
shall then be authorized to purchase under the provisions of applicable law, and
shall purchase the remainder of such shares as soon thereafter as possible at
the applicable price, plus accrued interest on such purchase price at the
floating prime borrowing rate specified by the lead bank on the Company's
principal revolving credit facility or, if there is no such bank, a comparable
prime rate selected in good faith by the Board of Directors.

     3.  Definitions.
         -----------

         (a) "Annual Base Salary," as determined on the Termination Date shall
     be equal to the sum of (i) the annual base salary payable to Officer by the
     Company or any successor thereto (or any affiliate of the Company or a
     successor thereto) as of the Termination Date plus (ii) an amount equal to
     the greater of (A) the bonus earned by Officer for the calendar year
     immediately preceding the Termination Date or (B) the average annual bonus
     earned by Officer during the three calendar years immediately preceding the
     Termination Date.

         (b) "Cause" as used herein with respect to Officer's termination of
     employment shall include any of the following: (A) Officer's conviction of,
     or plea of nolo contendere to, any felony of theft, fraud, embezzlement or
     violent crime causing substantial harm to the Company or its affiliates;
     (B) the willful and continued failure by Officer to substantially perform
     Officer's duties with the Company (or an affiliate of the Company or any
     successor thereto) (other than such failure resulting from Officer's
     incapacity due to physical or mental illness), after a written demand for
     substantial performance is delivered to Officer by the Chief Executive
     Officer of the Company and the Board, which specifically identifies the
     manner in which the Chief Executive Officer and the Board believes that
     Officer has not substantially performed Officer's duties or (C) the willful
     engaging by Officer in misconduct which is materially injurious to the
     interests of the Company or any successor thereto (or any affiliate of the
     Company or a successor thereto). For purposes of this Section, no act, or
     failure to act, on Officer's part shall be considered "willful" unless
     done, or omitted to be done, by Officer not in good faith and without
     reasonable belief that Officer's action or omission was in the best
     interest of the Company. Notwithstanding the foregoing, Officer shall not
     be deemed to have been terminated for cause unless and until there shall
     have been delivered to Officer a copy of a notice of termination from the
     Chief Executive Officer of the Company and the Board, after (x) reasonable
     notice to Officer, (y) an opportunity for Officer, together with Officer's
     counsel (the reasonable fees of which the Company shall pay promptly as
     incurred), to be heard

                                      -3-
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     before the Board, finding that, in the good faith opinion of the Board,
     Officer was guilty of conduct set forth above in clauses (A), (B) or (C) of
     the first sentence of this Subsection and specifying the particulars
     thereof in detail, and (z) in the case of conduct set forth in clauses (B)
     and (C), a period of not less than 60 days to remedy same.

          (c) "Common Stock" means the common stock, par value $.01 per share,
     of the Company.

          (d) A "Company Change of Control" shall be deemed to have occurred for
     purposes of this Agreement if:

              (i)   individuals who, as of the Effective Time, constitute the
          Board of Directors of the Company (the "Company Incumbent Board")
          cease for any reason to constitute at least 40% of such Board of
          Directors, provided that any person becoming a director subsequent to
          the Effective Time whose election, or nomination for election by the
          stockholders of the Company was approved by a vote of at least a
          majority of the directors then comprising the Company Incumbent Board
          shall be, for purposes of this Agreement, considered as though such
          person were a member of the Company Incumbent Board;

              (ii)  the stockholders of the Company approve a reorganization,
          merger or consolidation, in each case, with respect to which persons
          who were the stockholders of the Company immediately prior to such
          reorganization, merger or consolidation do not, immediately
          thereafter, own voting securities representing more than 40% of the
          Voting Securities of the reorganized, merged or consolidated company;

              (iii) the Company sells, leases or exchanges or agrees to sell,
          lease or exchange all or substantially all of its assets to any other
          person or entity;

              (iv)  the Company adopts a plan of dissolution or liquidation; or

              (v)   any "person," as that term is defined in Section 3(a)(9) of
          the Exchange Act (other than Union Oil or any affiliate thereof and
          other than the Company, any of its subsidiaries, any employee benefit
          plan of the Company or any of its subsidiaries, or any entity
          organized, appointed or established by the Company for or pursuant to
          the terms of such a plan), together with all "affiliates" and
          "associates" (as such terms are defined in Rule 12b-2 under the
          Exchange Act) of such person (as well as any "Person" or "group" as
          those terms are used in Sections 13(d) and 14(d) of the Exchange Act),
          shall become the "beneficial owner" or "beneficial owners" (as defined
          in Rules 13d-3 and 13d-5 under the Exchange Act), directly or
          indirectly, of securities of the Company representing in the aggregate
          40% or more of either the then outstanding shares of Common Stock or
          the Voting Securities of the Company.

          (e) "Continuing Company Shares" means See Schedule I attached shares
                                                -----------------------
     of Common Stock, being the shares resulting from the conversion in TRH,
     Inc.'s merger with Titan of shares of Titan common stock owned by Officer
     as of December 1, 1999, plus any shares of Common Stock acquired by Officer
     pursuant to the exercise of any stock options previously or hereafter
     granted to Officer pursuant to any stock option or similar stock incentive
     plan of the Company.

                                      -4-
<PAGE>

          (f) "Disability" means if, as a result of Officer's incapacity due to
     physical or mental illness, Officer shall have been absent from his duties
     hereunder on a full-time basis for the entire period of six consecutive
     months, and within thirty (30) days after written notice of termination is
     given (which may occur before or after the end of such six-month period)
     shall not have returned to the performance of his duties hereunder on a
     full-time basis.

          (g) "Fully-Diluted Outstanding Share Amount" means that number of
     shares of Common Stock that would be issued and outstanding after taking
     into account the conversion or exchange of all issued and outstanding
     securities of the Company or any of its affiliates which are convertible or
     exchangeable into Common Stock.

          (h) "Net Asset Value" means (A) 110% of the following amount: (1) the
     net equity ownership in the proved reserves of the Company, calculated
     using the average of the three-year strip price for the 120 days prior to
     the Put Date (NYMEX less applicable differentials) at a 10% discount rate
     and reflecting any increase or decrease resulting from hedges in place,
     plus (2) the proved reserves not included within the terms of the preceding
     clause (1), calculated as in clause (1), attributable to the Company's net
     equity interest in any corporation, partnership, limited liability company
     or other entity (including the Company's net equity interest in proved
     reserves resulting from any promoted interest, back-in after payout or
     other carried or increasing interest in such entities) as of the Put Date;
     less (B) the funded debt, including bank debt and senior and subordinated
     debt securities issued pursuant to indentures of the Company, as of the Put
     Date; and less (C) such funded debt attributable to the Company's net
     equity interest in each corporation, partnership, limited liability company
     or other entity referred to in clause (A)(1), as of the Put Date. In no
     event shall "Net Asset Value" include the value of public securities,
     purchased by the Company in the open market, of issuers in which the
     Company has no control or board representation.  For purposes of valuing
     the proved reserves of the Company, such proved reserves shall be
     determined at the sole discretion of the Board of Directors.

          (i) "Put Event" means any of the following:

              (i)   termination of Officer's employment by the Company or any
          successor thereto (or an affiliate of the Company or any successor
          thereto) without Cause (as defined in this Agreement);

              (ii)  termination of Officer's employment with the Company or any
          successor thereto (or an affiliate of the Company or any successor
          thereto) for any reason on or after the third anniversary of the
          Effective Time;

              (iii) occurrence of a Company Change of Control or a Unocal Change
          of Control;

              (iv)  the death or Disability (as defined in this Agreement) of
          Officer;

              (v)   the termination by Officer of his or her employment with the
          Company or any successor thereto (or an affiliate of the Company or
          any successor thereto) for Good Reason (as defined in this Agreement);
          or

              (vi)  Union Oil, together with all "affiliates" and "associates"
          (as such terms are defined in Rule 12b-2 under the Exchange Act) of
          such person (as well as any "Person" or

                                      -5-
<PAGE>

          "group" as those terms are used in Sections 13(d) and 14(d) of the
          Exchange Act), shall become the "beneficial owner" or "beneficial
          owners" (as defined in Rules 13d-3 and 13d-5 under the Exchange Act),
          directly or indirectly, of securities of the Company representing in
          the aggregate 85% or more of either the then outstanding shares of
          common stock of the Company or the Voting Securities of the Company.

     Notwithstanding the foregoing, no Put Event shall be deemed to have
     occurred at any time if prior to such time, and before the third
     anniversary of the Effective Time, (i) the Officer's employment has been
     terminated by the Company or any successor thereto (or any affiliate of the
     Company or any successor thereto)  for Cause or (ii) Officer has
     voluntarily terminated his or her employment with the Company or any
     successor thereto (or any affiliate of the Company or any successor
     thereto) other than for Good Reason.

          (j) The "Termination Date" shall mean the date of the termination of
     Officer's employment in connection with a Termination Event.

          (k) A "Termination Event" shall be deemed to have occurred if:

              (i)  at any time:

                   (A) the Company or any successor thereto (or an affiliate of
              the Company or any successor thereto) shall terminate Officer's
              employment for any reason other than for Cause; or

                   (B) Officer shall voluntarily terminate his or her employment
              with the Company or any successor thereto (or an affiliate of the
              Company or any successor thereto) for "Good Reason." For purposes
              of this Agreement, "Good Reason" shall mean any of the following
              (without Officer's express written consent):

                       (1) A material change in the nature or scope of Officer's
                   duties or responsibilities from those engaged in by Officer
                   immediately prior to the Effective Time, unless such change
                   is approved by Jack Hightower in his capacity, as of the date
                   of such change, as chief executive officer of the Company;

                       (2) Any reduction in Officer's status with the Company to
                   a position below the Vice President (except Assistant
                   Controller for Darin Holderness )level;

                       (3) A reduction in Officer's annual base salary from that
                   provided to him or her immediately prior to the Effective
                   Time, unless (x) such reduction is part of an annual base
                   salary reduction that applies to all officers of the Company
                   and (y) such reduction is equal or less than, on a percentage
                   basis, to the percentage reduction in annual base salary of
                   each of the other officers of the Company;

                       (4) A material diminution in Officer's eligibility to
                   participate in or in the benefits provided to Officer under
                   any bonus, stock option or other incentive compensation plans
                   or employee welfare and pension

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<PAGE>

                   benefit plans (including medical, dental, life insurance,
                   retirement and long-term disability plans) from that provided
                   to him or her immediately prior to the Effective Time;

                         (5) Any required relocation of Officer outside of Texas
                   (including any required business travel in excess of the
                   greater of 90 days per year or the level of business travel
                   of Officer for the year prior to the Effective Time);

                         (6) Officer and the Company, or any successor thereto,
                   shall fail to reach an agreement on or prior to the date of
                   closing of a transaction that constitutes a Company Change of
                   Control or Unocal Change of Control as to the terms of
                   Officer's employment following such Change of Control, which
                   terms are acceptable to Officer in his or her sole
                   discretion; or

                         (7) Union Oil, together with all "affiliates" and
                   "associates" (as such terms are defined in Rule 12b-2 under
                   the Securities Exchange Act of 1934, as amended (the
                   "Exchange Act")) of such person (as well as any "Person" or
                   "group" as those terms are used in Sections 13(d) and 14(d)
                   of the Exchange Act), shall become the "beneficial owner" or
                   "beneficial owners" (as defined in Rules 13d-3 and 13d-5
                   under the Exchange Act), directly or indirectly, of
                   securities of the Company representing in the aggregate 85%
                   or more of either the then outstanding shares of common stock
                   of the Company or the Voting Securities of the Company.

          (l) "Titan" means Titan Exploration, Inc., a Delaware corporation, or
     any successor thereto.

          (m) "Union Oil" means Union Oil Company of California, a California
     corporation.

          (n) "Unocal" means Unocal Corporation, a Delaware corporation.

          (o) A "Unocal Change of Control" shall be deemed to have occurred for
     purposes of this Agreement if:

              (i) individuals who, as of the Effective Time, constitute the
          Board of Directors of Unocal (the "Unocal Incumbent Board") cease for
          any reason to constitute at least 50% of such Board of Directors,
          provided that any person becoming a director subsequent to the
          Effective Time whose election, or nomination for election by the
          stockholders of Unocal was approved by a vote of at least a majority
          of the directors then comprising Unocal Incumbent Board shall be, for
          purposes of this Agreement, considered as though such person were a
          member of Unocal Incumbent Board;

               (ii) the stockholders of Unocal approve a reorganization, merger
          or consolidation, in each case, with respect to which persons who were
          the stockholders of Unocal immediately prior to such reorganization,
          merger or consolidation do not, immediately thereafter, own voting
          securities representing more than 50% of the Voting Securities of the
          reorganized, merged or consolidated company;

                                      -7-
<PAGE>

               (iii)  Unocal sells, leases or exchanges or agrees to sell, lease
          or exchange all or substantially all of its assets to any other person
          or entity;

               (iv)   Unocal adopts a plan of liquidation or dissolution; or

               (v)    any "person," as that term is defined in Section 3(a)(9)
          of the Exchange Act (other than Unocal, any of its subsidiaries, any
          employee benefit plan of Unocal or any of its subsidiaries, or any
          entity organized, appointed or established by Unocal for or pursuant
          to the terms of such a plan), together with all "affiliates" and
          "associates" (as such terms are defined in Rule 12b-2 under the
          Exchange Act) of such person (as well as any "Person" or "group" as
          those terms are used in Sections 13(d) and 14(d) of the Exchange Act),
          shall become the "beneficial owner" or "beneficial owners" (as defined
          in Rules 13d-3 and 13d-5 under the Exchange Act), directly or
          indirectly, of securities of Unocal representing in the aggregate 50%
          or more of either the then outstanding shares of common stock of
          Unocal or the Voting Securities of Unocal.

          (p)  "Voting Securities" means the combined voting power entitled to
     vote generally in the election of directors.

     4.   Gross-Up Payment.  Notwithstanding any provision in this Agreement to
          ----------------
the contrary, if it shall be determined that any payment, distribution or
transfer of property or rights thereto by the Company or any successor thereto
(or an affiliate of the Company or any successor thereto) to or for the benefit
of Officer (whether paid, payable, distributed, distributable, transferred or
transferable pursuant to the terms of this Agreement or otherwise, including but
not limited to the acceleration of vesting of stock options), but determined
without regard to any additional payments required pursuant to this Section 4 (a
"Payment") would be subject to the excise tax imposed by Section 4999 of the
Internal Revenue Code of 1986, as amended (the "Code"), or any interest or
penalties are incurred by Officer with respect to such excise tax (such excise
tax, together with any such interest and penalties, hereinafter collectively
referred to as the "Excise Tax"), then the Officer shall be entitled to receive
an additional payment from the Company or its successor (or an affiliate of the
Company or any successor thereto) (a "Gross-Up Payment") in an amount such that
after payment by Officer of all taxes (including any interest or penalties
imposed with respect to such taxes), including, without limitation, any income
taxes (and any interest and penalties imposed with respect thereto) and Excise
Tax imposed upon the Gross-Up Payment, Officer retains an amount of Gross-Up
Payment equal to the Excise Tax imposed upon the Payments. The intent of this
Section 4 is that Officer will retain, on an after-tax basis, the identical
amount Officer would have received had no Excise Tax been assessed.

     5.   Notices.  For purposes of this Agreement, notices and all other
          -------
communications provided for herein shall be in writing and shall be deemed to
have been duly given when personally delivered or when mailed by United States
registered or certified mail, return receipt requested, postage prepaid,
addressed as follows:

     If to the Company to:    Pure Resources, Inc.
                              Attention:  Chief Executive Officer
                              500 West Texas, Suite 200
                              Midland, Texas  79701

                                      -8-
<PAGE>

     If to Officer to:        See Schedule I attached

or to such other address as either party may furnish to the other in writing in
accordance herewith, except that notices of changes of address shall be
effective only upon receipt.

     6.   Applicable Law.  This contract is entered into under, and shall be
          --------------
governed for all purposes by, the laws of the State of Texas.

     7.   Severability.  If a court of competent jurisdiction determines that
          ------------
any provision of this Agreement is invalid or unenforceable, then the invalidity
or unenforceability of that provision shall not affect the validity or
enforceability of any other provision of this Agreement, and all other
provisions shall remain in full force and effect.

     8.   Counterparts.  This Agreement may be executed in one or more
          ------------
counterparts, each of which shall be deemed to be an original, but all of which
together will constitute one and the same Agreement.

     9.   Withholding.  The Company or any affiliate of the Company employing
          -----------
Officer shall withhold from any amount payable to Officer pursuant to this
Agreement or from other remuneration payable to Officer, and shall remit to the
appropriate governmental authority if required by applicable law, any income,
employment or other tax such entity is required by applicable law to so withhold
from and remit on behalf of Officer and any other amounts authorized in writing
by Officer.

     10.  No Continued Employment and Effect of Agreement.  This Agreement shall
          -----------------------------------------------
not enlarge or otherwise affect the terms of Officer's employment with the
Company or its affiliate, and the Company or an affiliate employing Officer may
terminate his or her employment as freely and with the same effect as if this
Agreement had not been established.  This Agreement is the sole and exclusive
program of severance benefits provided to Officer.  It is intended that any and
all other representations, agreements or descriptions of similar benefits be
superseded hereby with respect to Officer; provided, however, that nothing
herein is intended to modify or affect in any way the terms of any written
employment agreement signed between the Company and Officer.  No oral or written
representation or promise concerning severance or retention bonus pay which is
inconsistent with the provisions of this Agreement shall have any force or
effect.

     11.  Assignment.
          ----------

          (a) This Agreement is personal in nature and neither of the parties
     hereto shall, without the consent of the other, assign or transfer this
     Agreement or any rights or obligations hereunder, except as provided in the
     remainder of this Section 11. Without limiting the foregoing, Officer's
     right to receive payments hereunder shall not be assignable or
     transferable, whether by pledge, creation of a security interest or
     otherwise, other than a transfer by him or her will or by the laws of
     descent or distribution, and in the event of any attempted assignment or
     transfer contrary to this Section 11 the Company shall have no liability to
     pay any amount so attempted to be assigned or transferred. This Agreement
     shall inure to the benefit of and be enforceable by Officer's personal or
     legal representatives, executors, administrators, successors, heirs,
     distributees, devisees and legatees.

          (b) The Company may: (x) as long as it remains obligated with respect
     to this Agreement, cause its obligations hereunder to be performed by a
     subsidiary or subsidiaries for which

                                      -9-
<PAGE>

     Officer performs services, in whole or in part; (y) assign this Agreement
     and its rights hereunder in whole, but not in part, to any corporation with
     or into which it may hereafter merge or consolidate or to which it may
     transfer all or substantially all of its assets, if said corporation shall
     by operation of law or expressly in writing assume all liabilities of the
     Company hereunder as fully as if it has been originally named the Company
     herein; but may not otherwise assign this Agreement or its rights
     hereunder. Subject to the foregoing, this Agreement shall inure to the
     benefit of and be enforceable by the Company's successors and assigns.

     12.  Modifications.  This Agreement shall not be varied, altered, modified,
          -------------
canceled, changed or in any way amended except by mutual agreement of the
parties in a written instrument executed by the parties hereto or their legal
representatives.

     IN WITNESS WHEREOF, the parties have caused this Agreement to be executed
and delivered as of the day and year first above written.

                              PURE RESOURCES, INC.

                              By:  /s/ Jack Hightower
                                  ---------------------------------------
                                  Name:  Jack Hightower
                                         --------------------------------
                                  Title: Chairman, President, CEO
                                         --------------------------------

                              OFFICER

                              See Schedule I attached
                              -------------------------------------------
                              Employee

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<PAGE>

                                  Schedule I
                                  ----------

Name of Employee          Continuing Shares        Date
----------------          -----------------        ----

John L. Benfatti                42,508             August 1, 2000
Dan P. Colwell                 113,225             August 31, 2000
Gary Dupriest                        0             August 1, 2000
Darin Holderness                    43             August 1, 2000
Thomas H. Moore                138,277             August 31, 2000
Susan D. Rowland                22,523             August 1, 2000
William K. White                 1,290             August 1, 2000
Rodney L. Woodard              114,973             September 14, 2000

                                      -11-
<PAGE>

                                                                       EXHIBIT A
                                                                       ---------

                           GENERAL RELEASE AGREEMENT
                           -------------------------

NOTICE: If you wish to accept the Severance Payment, you must return an executed
copy of this form to the Company by the close of business on the thirtieth day
after the Termination Event, as defined in the Officer Severance and Put Right
Agreement between you and Pure Resources, Inc.

1.   GENERAL RELEASE OF CLAIMS UNDER AGE DISCRIMINATION IN EMPLOYMENT ACT. In
consideration of the Severance Payment ("Payment") to be made to me under the
Officer Severance and Put Right Agreement (the "Agreement"), I hereby release,
acquit, and forever discharge (i) Pure Resources, Inc. and any parent,
subsidiary, affiliated entity, successors or assigns (the "Company"), and (ii)
the stockholders, officers, directors, employees, agents, representatives, and
fiduciaries of the Company (collectively the "Released Parties"), from any and
all claims, liabilities, demands, and causes of action of whatever kind or
character, whether vicarious, derivative, or direct, that I now have or claim
against them arising under the Age Discrimination in Employment Act. This
General Release does not waive rights or claims that may arise after the date
this General Release is executed. Further in consideration of the Payment to be
made to me under the Agreement, I acknowledge and agree that the Released
Parties may recover from me any loss, including attorney's fees and costs of
defending against any claim brought by me, they may incur arising out of my
breach of this General Release.

     I understand that I may revoke my acceptance of paragraph 1 of this General
Release by so notifying the Company within seven days of the date I execute this
General Release.  I further understand that if I do not timely revoke my
acceptance of paragraph 1, paragraph 1 of this General Release is final and
binding, and I agree not to challenge its enforceability.  If I do challenge its
enforceability, I agree initially to tender to the Company the Payment made
under the Agreement, and invite the Company to retain such money and agree with
me to cancel this General Release.  In the event the Company accepts my offer,
the Company shall retain such money and paragraph 1 of this General Release will
be void.  In the event the Company does not accept my offer, the Company shall
place such money in an escrow account pending the resolution of any dispute as
to whether paragraph 1 of this General Release shall be set aside and/or
otherwise rendered unenforceable.

2.   GENERAL RELEASE OF CLAIMS OTHER THAN UNDER AGE DISCRIMINATION IN EMPLOYMENT
ACT. In consideration of the Payment to be made to me under the Agreement, I
hereby release, acquit, and forever discharge (i) the Company, and (ii) the
Released Parties, from any and all claims, liabilities, demands, and causes of
action of whatever kind or character, whether vicarious, derivative, or direct,
that I now have or claim against them connected in any way to the Agreement or
any claim for benefits under the Agreement, or my employment, continuation of
employment, or, if applicable, termination of employment with any of the
Released Parties, or with any other act, conduct, or omission of any of the
Released Parties, including but not limited to claims arising under any federal,
state, or local laws relating to the employment relationship, other than claims,
liabilities, demands, and causes of action under the Age Discrimination in
Employment Act. This General Release does not waive rights or claims that may
arise after the date this General Release is executed. Further in consideration
of the Payment to be made to me under the Agreement, I acknowledge and agree
that the Released Parties may recover from me any loss, including attorney's
fees and costs of defending against any claim brought by me, they may incur
arising out of my breach of this General Release.

3.   NO RELEASE OF COMPANY'S OBLIGATION TO MAKE TAX GROSS-UP PAYMENT UNDER THE
AGREEMENT. Any provision of this General Release to the contrary
notwithstanding, my execution of this General Release does not constitute a
release of the Company's obligation under the Agreement to make additional
payments to me if it shall be determined that I am subject to additional excise
tax under Section 4999 of the Internal Revenue Code of 1986, as amended, as a
result of any payments made or benefits provided to me pursuant to the Agreement
or otherwise in connection with a Change of Control (as defined in the
Agreement).

     I understand that I may not revoke my acceptance of paragraph 2 of this
General Release and that it is binding upon me whether or not I revoke my
acceptance of paragraph 1 of this General Release.
<PAGE>

     I have read and fully understand all of the provisions of this General
Release. I acknowledge that none of the Released Parties has made any promise or
representation to me in consideration for my agreement to execute this General
Release that is not set out in this General Release, and that in executing this
General Release I am not relying on any such promise or representation but
instead am relying solely on my own judgment. I further acknowledge that my
execution of this General Release is knowing and voluntary, that I have had a
reasonable time to consider its terms, and that I have been advised to consult
with an attorney about this General Release.

Date signed:_________________________         _______________________________
                                              Signature of Employee

Date signed:_________________________         _______________________________
                                              Witness

                                      -2-<PAGE>

                                                                    EXHIBIT 10.7

                   OFFICER SEVERANCE AND PUT RIGHT AGREEMENT

     This Officer Severance and Put Right Agreement ("Agreement") is made and
entered into as of this 1st day of August, 2000, by and between Pure Resources,
Inc., a Delaware corporation (the "Company"), and George G. Staley, an
individual currently residing in Midland, Texas ("Officer").

                                   RECITALS
                                   --------

     The Board of Directors of the Company (the "Board") has determined that it
is in the best interest of the Company to assure that the Company will have the
continued dedication of Officer, notwithstanding the consummation as of 11:58
p.m. Central time on May 25, 2000 (the "Effective Time") of the transactions
contemplated by that certain Agreement and Plan of Merger (the "Merger
Agreement"), dated December 13, 1999, among Union Oil Company of California, the
Company, TRH, Inc. and Titan Exploration, Inc. and the possibility, threat or
occurrence of a Company Change of Control or a Unocal Change of Control (each as
defined below). The Board believes it is imperative to diminish the inevitable
distraction of Officer by virtue of the personal uncertainties and risks created
by a pending or threatened Company Change of Control or Unocal Change of
Control, to encourage Officer's full attention and dedication to the Company
currently and in the event of any threatened or pending Company Change of
Control or Unocal Change of Control, and to provide Officer with compensation
and benefit arrangements upon a Company Change of Control or Unocal Change of
Control which ensures that such compensation and benefits are competitive with
other corporations.

                                   AGREEMENT
                                   ---------

     Now, therefore, in consideration of Officer's continued employment by the
Company or an affiliate of the Company, as well as the promises, covenants and
obligations contained herein, the Company and Officer agree as follows:

     1.   Severance and Other Benefits.
          ----------------------------

          (a)  Severance Payment. Upon the occurrence of a Termination Event (as
               -----------------
     defined in Section 3):

               (i)   within 30 days following such Termination Event, upon
     Officer's execution of a General Release materially in the form attached
     hereto as Exhibit A (the "General Release"), the Company or its successor
     (or an affiliate of the Company or any successor thereto) shall pay Officer
     an amount equal to Officer's Annual Base Salary (as defined in Section 3)
     multiplied by 2.0, payable as a lump sum cash payment;

               (ii)  if Officer was participating in a life insurance and/or
     disability benefit plan maintained by an Employer as of his or her
     Termination Date, such coverage will be continued at the same cost, if any,
     charged to similarly situated active employees under such plans for a
     period of eighteen months following the Termination Date or, if earlier,
     the date as of which Officer obtains other employment. Officer shall
     immediately notify the Company upon obtaining other employment;

               (iii) if Officer was participating in a hospital, surgical,
     medical or dental benefit plan maintained by an Employer as of his or her
     Termination Date and if Officer elects to continue such coverage under the
     Consolidated Omnibus Budget Reconciliation Act of 1985 ("COBRA"), Officer
     will be reimbursed the premiums paid to continue such coverage under
<PAGE>

          COBRA until the date as of which Officer obtains other employment.
          Officer shall immediately notify the Company upon obtaining other
          employment;

               (iv)  all restricted stock, options or other rights with respect
          to equity interests in the Company and/or its affiliates granted to
          Officer on or before such Termination Date shall immediately vest as
          of the Termination Date; and

               (v)   the Company or any successor thereto (or an affiliate of
          the Company or any successor thereto) shall take all such action as
          may be necessary or appropriate to amend any option to purchase the
          Company's common stock held by Officer to provide that such option
          will not terminate as a result of or in connection with Officer's
          termination of employment with the Company or any successor thereto
          (or an affiliate of the Company or any successor thereto), but may
          continue to be exercised following such termination of employment
          until the date on which such options otherwise would expire.

     2.   Put Right.
          ---------

     (a)  Upon the occurrence of a Put Event, Officer shall have the option (the
"Put Option"), exercisable at any time before the 90th day after the Put Event,
to sell to the Company all or part (in each case, subject to Section 2(e)) of
his Continuing Company Shares at a price calculated in accordance with the
provisions of Section 2(d); provided, however, that if Officer fails to exercise
such Put Option (other than with respect to a Put Event described in clause
(iii) of the definition of Put Event) or exercises such Put Option for less than
all of his Continuing Company Shares, Officer shall not have the right to
require the Company to purchase any shares upon the occurrence of any future Put
Event. If Officer exercises the Put Option within the specified period by giving
notice (the "Put Notice") to the Company of his or her election to do so (the
date such notice is given is the "Put Date"), the Company shall be required to
purchase all (but, subject to Section 2(e), not less than all) of the Continuing
Company Shares specified by Officer in the Put Notice (which may include
Continuing Company Shares owned by Officer as of the Put Date and/or Continuing
Company Shares to be acquired by the Officer pursuant to option exercises after
the Put Date but on or before the Put Closing), such purchase to be effected in
the manner, upon the terms and for the consideration set forth hereafter. In the
event of Officer's death, Officer's heirs or beneficiaries shall have the right
to exercise the Put Option described above.

     (b)  The consummation of any purchase required under this Section 2 shall
be held at a "Put Closing", and the time and date upon which the Put Closing
shall take place shall constitute the "Put Closing Date". The Put Closing shall
be held at the principal office of the Company on the date designated by Officer
in the Put Notice or on such other date as shall be mutually agreed upon in
writing by the Company and Officer; provided, however, that the Put Closing Date
shall not be more than 30 days (or a period of such additional length as
reasonably necessary to complete the additional valuations contemplated in the
definition of Net Asset Value) nor less than three days after the delivery of
the Put Notice. In addition to providing the Put Closing Date, the Put Notice
shall set forth the number of shares to be purchased by the Company and the
Purchase Price (as defined below).

     (c)  At the Put Closing, Officer shall present to the Company all share
certificates or option agreements for Continuing Company Shares required to be
purchased, duly endorsed in blank and in proper form for transfer, or with
separate stock powers attached, duly endorsed in blank and in proper form for
transfer, free and clear of any encumbrances. At the Put Closing, the Company,
upon receipt of a conforming tender from Officer, shall tender full payment of
the Purchase Price in immediately available funds by

                                      -2-
<PAGE>

confirmed wire transfer to a bank account to be designated by Officer (such
designation to occur no later than the second business day prior to the Put
Closing Date).

     (d)  The total purchase price (the "Purchase Price") for all the shares of
Common Stock to be purchased pursuant to this Section 2 shall be equal to the
number of shares of Continuing Company Shares held by, or issuable to, Officer
which are subject to the Put Closing multiplied by the Price Per Share. The
"Price Per Share" shall be equal to the Net Asset Value divided by the Fully-
Diluted Outstanding Share Amount, each determined as of the Put Date.

     (e)  If the Company is unable to consummate any desired purchase of
Continuing Company Shares pursuant to the terms of this Agreement because of
limitations contained in the Delaware Business Corporation Act (or a successor
statute thereof) or other applicable law, the Company agrees to use its best
efforts to take all such action as may be available to place the Company in a
position to carry out any required purchase under this Agreement. If the
Company, after the taking of any action by it as contemplated in the immediately
preceding sentence, is unable to consummate the purchase of all the shares of
Officer's Continuing Company Shares as required, the Company shall purchase at
the applicable price all shares of Continuing Company Shares that the Company
shall then be authorized to purchase under the provisions of applicable law, and
shall purchase the remainder of such shares as soon thereafter as possible at
the applicable price, plus accrued interest on such purchase price at the
floating prime borrowing rate specified by the lead bank on the Company's
principal revolving credit facility or, if there is no such bank, a comparable
prime rate selected in good faith by the Board of Directors.

     3.   Definitions.
          -----------

          (a)  "Annual Base Salary," as determined on the Termination Date shall
     be equal to the sum of (i) the annual base salary payable to Officer by the
     Company or any successor thereto (or any affiliate of the Company or a
     successor thereto) as of the Termination Date plus (ii) an amount equal to
     the greater of (A) the bonus earned by Officer for the calendar year
     immediately preceding the Termination Date or (B) the average annual bonus
     earned by Officer during the three calendar years immediately preceding the
     Termination Date.

          (b)  "Cause" as used herein with respect to Officer's termination of
     employment shall include any of the following: (A) Officer's conviction of,
     or plea of nolo contendere to, any felony of theft, fraud, embezzlement or
     violent crime causing substantial harm to the Company or its affiliates;
     (B) the willful and continued failure by Officer to substantially perform
     Officer's duties with the Company (or an affiliate of the Company or any
     successor thereto) (other than such failure resulting from Officer's
     incapacity due to physical or mental illness), after a written demand for
     substantial performance is delivered to Officer by the Chief Executive
     Officer of the Company and the Board, which specifically identifies the
     manner in which the Chief Executive Officer and the Board believes that
     Officer has not substantially performed Officer's duties or (C) the willful
     engaging by Officer in misconduct which is materially injurious to the
     interests of the Company or any successor thereto (or any affiliate of the
     Company or a successor thereto).  For purposes of this Section, no act, or
     failure to act, on Officer's part shall be considered "willful" unless
     done, or omitted to be done, by Officer not in good faith and without
     reasonable belief that Officer's action or omission was in the best
     interest of the Company.  Notwithstanding the foregoing, Officer shall not
     be deemed to have been terminated for cause unless and until there shall
     have been delivered to Officer a copy of a notice of termination from the
     Chief Executive Officer of the Company and the Board, after (x) reasonable
     notice to Officer, (y) an opportunity for Officer, together with Officer's
     counsel (the reasonable fees of which the Company shall pay promptly as
     incurred), to be heard

                                      -3-
<PAGE>

before the Board, finding that, in the good faith opinion of the Board, Officer
was guilty of conduct set forth above in clauses (A), (B) or (C) of the first
sentence of this Subsection and specifying the particulars thereof in detail,
and (z) in the case of conduct set forth in clauses (B) and (C), a period of not
less than 60 days to remedy same.

          (c)  "Common Stock" means the common stock, par value $.01 per share,
     of the Company.

          (d)  A "Company Change of Control" shall be deemed to have occurred
     for purposes of this Agreement if:

               (i)   individuals who, as of the date hereof, constitute the
          Board of Directors of the Company (the "Company Incumbent Board")
          cease for any reason to constitute at least 40% of such Board of
          Directors, provided that any person becoming a director subsequent to
          the date hereof whose election, or nomination for election by the
          stockholders of the Company was approved by a vote of at least a
          majority of the directors then comprising the Company Incumbent Board
          shall be, for purposes of this Agreement, considered as though such
          person were a member of the Company Incumbent Board;

               (ii)  the stockholders of the Company approve a reorganization,
          merger or consolidation, in each case, with respect to which persons
          who were the stockholders of the Company immediately prior to such
          reorganization, merger or consolidation do not, immediately
          thereafter, own voting securities representing more than 40% of the
          Voting Securities of the reorganized, merged or consolidated company;

               (iii) the Company sells, leases or exchanges or agrees to sell,
          lease or exchange all or substantially all of its assets to any other
          person or entity;

               (iv)  the Company adopts a plan of dissolution or liquidation; or

               (v)   any "person," as that term is defined in Section 3(a)(9) of
          the Exchange Act (other than Union Oil or any affiliate thereof and
          other than the Company, any of its subsidiaries, any employee benefit
          plan of the Company or any of its subsidiaries, or any entity
          organized, appointed or established by the Company for or pursuant to
          the terms of such a plan), together with all "affiliates" and
          "associates" (as such terms are defined in Rule 12b-2 under the
          Exchange Act) of such person (as well as any "Person" or "group" as
          those terms are used in Sections 13(d) and 14(d) of the Exchange Act),
          shall become the "beneficial owner" or "beneficial owners" (as defined
          in Rules 13d-3 and 13d-5 under the Exchange Act), directly or
          indirectly, of securities of the Company representing in the aggregate
          40% or more of either the then outstanding shares of Common Stock or
          the Voting Securities of the Company.

          (e)  "Continuing Company Shares" means 461,076 shares of Common Stock,
     being the shares resulting from the conversion in TRH, Inc.'s merger with
     Titan of shares of Titan common stock owned by Officer as of December 1,
     1999, plus any shares of Common Stock acquired by Officer pursuant to the
     exercise of any stock options previously or hereafter granted to Officer
     pursuant to any stock option or similar stock incentive plan of the
     Company.

                                      -4-
<PAGE>

          (f)  "Disability" means if, as a result of Officer's incapacity due to
     physical or mental illness, Officer shall have been absent from his duties
     hereunder on a full-time basis for the entire period of six consecutive
     months, and within thirty (30) days after written notice of termination is
     given (which may occur before or after the end of such six-month period)
     shall not have returned to the performance of his duties hereunder on a
     full-time basis.

          (g)  "Fully-Diluted Outstanding Share Amount" means that number of
     shares of Common Stock that would be issued and outstanding after taking
     into account the conversion or exchange of all issued and outstanding
     securities of the Company or any of its affiliates which are convertible or
     exchangeable into Common Stock.

          (h)  "Net Asset Value" means (A) 110% of the following amount: (1) the
     net equity ownership in the proved reserves of the Company, calculated
     using the average of the three-year strip price for the 120 days prior to
     the Put Date (NYMEX less applicable differentials) at a 10% discount rate
     and reflecting any increase or decrease resulting from hedges in place,
     plus (2) the proved reserves not included within the terms of the preceding
     clause (1), calculated as in clause (1), attributable to the Company's net
     equity interest in any corporation, partnership, limited liability company
     or other entity (including the Company's net equity interest in proved
     reserves resulting from any promoted interest, back-in after payout or
     other carried or increasing interest in such entities) as of the Put Date;
     less (B) the funded debt, including bank debt and senior and subordinated
     debt securities issued pursuant to indentures of the Company, as of the Put
     Date; and less (C) such funded debt attributable to the Company's net
     equity interest in each corporation, partnership, limited liability company
     or other entity referred to in clause (A)(1), as of the Put Date. In no
     event shall "Net Asset Value" include the value of public securities,
     purchased by the Company in the open market, of issuers in which the
     Company has no control or board representation. For purposes of valuing the
     proved reserves of the Company, such proved reserves shall be determined at
     the sole discretion of the Board of Directors (the"First Valuation");
     provided, however, that, if the First Valuation is not acceptable to
     Officer, he may request a second valuation to be performed at his cost by a
     third party, independent engineering firm (the "Second Valuation");
     provided further, if the Second Valuation is not acceptable to the Company,
     the Officer and the Company shall select another third party firm to
     perform a final valuation (the "Final Valuation") and the cost of the Final
     Valuation shall be shared equally by the Company and the Officer. If the
     Final Valuation exceeds the Second Valuation, the Second Valuation shall be
     used in determining Net Asset Value. If the First Valuation exceeds the
     Final Valuation, the First Valuation shall be used in determining Net Asset
     Value. If the Final Valuation is between the First Valuation and the Second
     Valuation, an average of all three shall be used in determining Net Asset
     Value.

          (i)  "Put Event" means any of the following:

               (i)   termination of Officer's employment by the Company or any
          successor thereto (or an affiliate of the Company or any successor
          thereto) without Cause (as defined in this Agreement);

               (ii)  termination of Officer's employment with the Company or any
     successor thereto (or an affiliate of the Company or any successor thereto)
     for any reason on or after the third anniversary of the date of this
     Agreement;

               (iii) occurrence of a Company Change of Control or a Unocal
     Change of Control;

                                      -5-
<PAGE>

               (iv) the death or Disability (as defined in this Agreement) of
          Officer;

               (v)  the termination by Officer of his or her employment with the
          Company or any successor thereto (or an affiliate of the Company or
          any successor thereto) for Good Reason (as defined in this Agreement);
          or

               (vi) Union Oil, together with all "affiliates" and "associates"
          (as such terms are defined in Rule 12b-2 under the Exchange Act) of
          such person (as well as any "Person" or "group" as those terms are
          used in Sections 13(d) and 14(d) of the Exchange Act), shall become
          the "beneficial owner" or "beneficial owners" (as defined in Rules
          13d-3 and 13d-5 under the Exchange Act), directly or indirectly, of
          securities of the Company representing in the aggregate 85% or more of
          either the then outstanding shares of common stock of the Company or
          the Voting Securities of the Company.

     Notwithstanding the foregoing, no Put Event shall be deemed to have
     occurred at any time if prior to such time, and before the third
     anniversary of the date of this Agreement, (i) the Officer's employment has
     been terminated by the Company or any successor thereto (or any affiliate
     of the Company or any successor thereto) for Cause or (ii) Officer has
     voluntarily terminated his or her employment with the Company or any
     successor thereto (or any affiliate of the Company or any successor
     thereto) other than for Good Reason.

          (j)  The "Termination Date" shall mean the date of the termination of
     Officer's employment in connection with a Termination Event.

          (k)  A "Termination Event" shall be deemed to have occurred if:

               (i)  at any time:

                    (A) the Company or any successor thereto (or an affiliate of
               the Company or any successor thereto) shall terminate Officer's
               employment for any reason other than for Cause; or

                    (B) Officer shall voluntarily terminate his or her
               employment with the Company or any successor thereto (or an
               affiliate of the Company or any successor thereto) for "Good
               Reason." For purposes of this Agreement, "Good Reason" shall mean
               any of the following (without Officer's express written consent):

                        (1) A material change in the nature or scope of
                    Officer's duties or responsibilities from those engaged in
                    by Officer immediately prior to the date of this Agreement,
                    unless such change is approved by Jack Hightower in his
                    capacity, as of the date of such change, as Chairman of the
                    Board and chief executive officer of the Company;

                        (2) Any removal of Officer from, or any failure to
                    reelect or to reappoint Officer to, the office of Executive
                    Vice President;

                        (3) A reduction in Officer's annual base salary from
                    that provided to him or her immediately prior to the date of
                    this Agreement, unless (x) such reduction is part of an
                    annual base salary reduction that

                                      -6-
<PAGE>

                    applies to all officers of the Company and (y) such
                    reduction is equal or less than, on a percentage basis, to
                    the percentage reduction in annual base salary of each of
                    the other officers of the Company;

                         (4)  A material diminution in Officer's eligibility to
                    participate in or in the benefits provided to Officer under
                    any bonus, stock option or other incentive compensation
                    plans or employee welfare and pension benefit plans
                    (including medical, dental, life insurance, retirement and
                    long-term disability plans) from that provided to him or her
                    immediately prior to the date of this Agreement;

                         (5)  Any required relocation of Officer outside of
                    Texas (including any required business travel in excess of
                    the greater of 90 days per year or the level of business
                    travel of Officer for the year prior to the date of this
                    Agreement);

                         (6)  Officer and the Company, or any successor thereto,
                    shall fail to reach an agreement on or prior to the date of
                    closing of a transaction that constitutes a Company Change
                    of Control or Unocal Change of Control as to the terms of
                    Officer's employment following such Change of Control, which
                    terms are acceptable to Officer in his or her sole
                    discretion; or

                         (7)  Union Oil, together with all "affiliates" and
                    "associates" (as such terms are defined in Rule 12b-2 under
                    the Securities Exchange Act of 1934, as amended (the
                    "Exchange Act")) of such person (as well as any "Person" or
                    "group" as those terms are used in Sections 13(d) and 14(d)
                    of the Exchange Act), shall become the "beneficial owner" or
                    "beneficial owners" (as defined in Rules 13d-3 and 13d-5
                    under the Exchange Act), directly or indirectly, of
                    securities of the Company representing in the aggregate 85%
                    or more of either the then outstanding shares of common
                    stock of the Company or the Voting Securities of the
                    Company.

          (l) "Titan" means Titan Exploration, Inc., a Delaware corporation, or
     any successor thereto.

          (m) "Union Oil" means Union Oil Company of California, a California
     corporation.

          (n) "Unocal" means Unocal Corporation, a Delaware corporation.

          (o) A "Unocal Change of Control" shall be deemed to have occurred for
     purposes of this Agreement if:

              (i) individuals who, as of the date hereof, constitute the Board
          of Directors of Unocal (the "Unocal Incumbent Board") cease for any
          reason to constitute at least 50% of such Board of Directors, provided
          that any person becoming a director subsequent to the date hereof
          whose election, or nomination for election by the stockholders of
          Unocal was approved by a vote of at least a majority of the directors
          then comprising Unocal Incumbent

                                      -7-
<PAGE>

          Board shall be, for purposes of this Agreement, considered as though
          such person were a member of Unocal Incumbent Board;

               (ii)  the stockholders of Unocal approve a reorganization, merger
          or consolidation, in each case, with respect to which persons who were
          the stockholders of Unocal immediately prior to such reorganization,
          merger or consolidation do not, immediately thereafter, own voting
          securities representing more than 50% of the Voting Securities of the
          reorganized, merged or consolidated company;

               (iii) Unocal sells, leases or exchanges or agrees to sell, lease
          or exchange all or substantially all of its assets to any other person
          or entity;

               (iv)  Unocal adopts a plan of liquidation or dissolution; or

               (v)   any "person," as that term is defined in Section 3(a)(9) of
          the Exchange Act (other than Unocal, any of its subsidiaries, any
          employee benefit plan of Unocal or any of its subsidiaries, or any
          entity organized, appointed or established by Unocal for or pursuant
          to the terms of such a plan), together with all "affiliates" and
          "associates" (as such terms are defined in Rule 12b-2 under the
          Exchange Act) of such person (as well as any "Person" or "group" as
          those terms are used in Sections 13(d) and 14(d) of the Exchange Act),
          shall become the "beneficial owner" or "beneficial owners" (as defined
          in Rules 13d-3 and 13d-5 under the Exchange Act), directly or
          indirectly, of securities of Unocal representing in the aggregate 50%
          or more of either the then outstanding shares of common stock of
          Unocal or the Voting Securities of Unocal.

          (p)  "Voting Securities" means the combined voting power entitled to
     vote generally in the election of directors.

     4.   Gross-Up Payment. Notwithstanding any provision in this Agreement to
          ----------------
the contrary, if it shall be determined that any payment, distribution or
transfer of property or rights thereto by the Company or any successor thereto
(or an affiliate of the Company or any successor thereto) to or for the benefit
of Officer (whether paid, payable, distributed, distributable, transferred or
transferable pursuant to the terms of this Agreement or otherwise, including but
not limited to the acceleration of vesting of stock options), but determined
without regard to any additional payments required pursuant to this Section 4 (a
"Payment") would be subject to the excise tax imposed by Section 4999 of the
Internal Revenue Code of 1986, as amended (the "Code"), or any interest or
penalties are incurred by Officer with respect to such excise tax (such excise
tax, together with any such interest and penalties, hereinafter collectively
referred to as the "Excise Tax"), then the Officer shall be entitled to receive
an additional payment from the Company or its successor (or an affiliate of the
Company or any successor thereto) (a "Gross-Up Payment") in an amount such that
after payment by Officer of all taxes (including any interest or penalties
imposed with respect to such taxes), including, without limitation, any income
taxes (and any interest and penalties imposed with respect thereto) and Excise
Tax imposed upon the Gross-Up Payment, Officer retains an amount of Gross-Up
Payment equal to the Excise Tax imposed upon the Payments. The intent of this
Section 4 is that Officer will retain, on an after-tax basis, the identical
amount Officer would have received had no Excise Tax been assessed.

     5.   Notices. For purposes of this Agreement, notices and all other
          -------
communications provided for herein shall be in writing and shall be deemed to
have been duly given when personally delivered or when

                                      -8-
<PAGE>

mailed by United States registered or certified mail, return receipt requested,
postage prepaid, addressed as follows:

     If to the Company to:         Pure Resources, Inc.
                                   Attention: Chief Executive Officer
                                   500 West Texas, Suite 200
                                   Midland, Texas 79701

     If to Officer to:             George Staley
                                   500 West Texas, Suite 200
                                   Midland, Texas 79701

or to such other address as either party may furnish to the other in writing in
accordance herewith, except that notices of changes of address shall be
effective only upon receipt.

     6.   Applicable Law. This contract is entered into under, and shall be
          --------------
governed for all purposes by, the laws of the State of Texas.

     7.   Severability. If a court of competent jurisdiction determines that any
          ------------
provision of this Agreement is invalid or unenforceable, then the invalidity or
unenforceability of that provision shall not affect the validity or
enforceability of any other provision of this Agreement, and all other
provisions shall remain in full force and effect.

     8.   Counterparts. This Agreement may be executed in one or more
          ------------
counterparts, each of which shall be deemed to be an original, but all of which
together will constitute one and the same Agreement.

     9.   Withholding. The Company or any affiliate of the Company employing
          -----------
Officer shall withhold from any amount payable to Officer pursuant to this
Agreement or from other remuneration payable to Officer, and shall remit to the
appropriate governmental authority if required by applicable law, any income,
employment or other tax such entity is required by applicable law to so withhold
from and remit on behalf of Officer and any other amounts authorized in writing
by Officer.

     10.  No Continued Employment and Effect of Agreement. This Agreement shall
          -----------------------------------------------
not enlarge or otherwise affect the terms of Officer's employment with the
Company or its affiliate, and the Company or an affiliate employing Officer may
terminate his or her employment as freely and with the same effect as if this
Agreement had not been established. This Agreement is the sole and exclusive
program of severance benefits provided to Officer. It is intended that any and
all other representations, agreements or descriptions of similar benefits be
superseded hereby with respect to Officer; provided, however, that nothing
herein is intended to modify or affect in any way the terms of any written
employment agreement signed between the Company and Officer. No oral or written
representation or promise concerning severance or retention bonus pay which is
inconsistent with the provisions of this Agreement shall have any force or
effect.

     11.  Assignment.
          ----------

          (a) This Agreement is personal in nature and neither of the parties
     hereto shall, without the consent of the other, assign or transfer this
     Agreement or any rights or obligations hereunder, except as provided in the
     remainder of this Section 11. Without limiting the foregoing, Officer's

                                      -9-
<PAGE>

     right to receive payments hereunder shall not be assignable or
     transferable, whether by pledge, creation of a security interest or
     otherwise, other than a transfer by him or her will or by the laws of
     descent or distribution, and in the event of any attempted assignment or
     transfer contrary to this Section 11 the Company shall have no liability to
     pay any amount so attempted to be assigned or transferred. This Agreement
     shall inure to the benefit of and be enforceable by Officer's personal or
     legal representatives, executors, administrators, successors, heirs,
     distributees, devisees and legatees.

          (b) The Company may: (x) as long as it remains obligated with respect
     to this Agreement, cause its obligations hereunder to be performed by a
     subsidiary or subsidiaries for which Officer performs services, in whole or
     in part; (y) assign this Agreement and its rights hereunder in whole, but
     not in part, to any corporation with or into which it may hereafter merge
     or consolidate or to which it may transfer all or substantially all of its
     assets, if said corporation shall by operation of law or expressly in
     writing assume all liabilities of the Company hereunder as fully as if it
     has been originally named the Company herein; but may not otherwise assign
     this Agreement or its rights hereunder. Subject to the foregoing, this
     Agreement shall inure to the benefit of and be enforceable by the Company's
     successors and assigns.

     12.  Modifications. This Agreement shall not be varied, altered, modified,
          -------------
canceled, changed or in any way amended except by mutual agreement of the
parties in a written instrument executed by the parties hereto or their legal
representatives.

     IN WITNESS WHEREOF, the parties have caused this Agreement to be executed
and delivered as of the day and year first above written.

                                   PURE RESOURCES, INC.

                                   By: /s/ Jack Hightower
                                       -----------------------------------
                                       Name: Jack Hightower
                                             -----------------------------
                                       Title: Chairman, President, CEO
                                              ----------------------------

                                   OFFICER

                                   /s/ George Staley
                                   ---------------------------------------

                                      -10-
<PAGE>

                                                                       EXHIBIT A
                                                                       ---------

                           GENERAL RELEASE AGREEMENT
                           -------------------------

NOTICE: If you wish to accept the Severance Payment, you must return an executed
copy of this form to the Company by the close of business on the thirtieth day
after the Termination Event, as defined in the Officer Severance and Put Right
Agreement between you and Pure Resources, Inc.

1.   GENERAL RELEASE OF CLAIMS UNDER AGE DISCRIMINATION IN EMPLOYMENT ACT. In
consideration of the Severance Payment ("Payment") to be made to me under the
Officer Severance and Put Right Agreement (the "Agreement"), I hereby release,
acquit, and forever discharge (i) Pure Resources, Inc. and any parent,
subsidiary, affiliated entity, successors or assigns (the "Company"), and (ii)
the stockholders, officers, directors, employees, agents, representatives, and
fiduciaries of the Company (collectively the "Released Parties"), from any and
all claims, liabilities, demands, and causes of action of whatever kind or
character, whether vicarious, derivative, or direct, that I now have or claim
against them arising under the Age Discrimination in Employment Act. This
General Release does not waive rights or claims that may arise after the date
this General Release is executed. Further in consideration of the Payment to be
made to me under the Agreement, I acknowledge and agree that the Released
Parties may recover from me any loss, including attorney's fees and costs of
defending against any claim brought by me, they may incur arising out of my
breach of this General Release.

     I understand that I may revoke my acceptance of paragraph 1 of this General
Release by so notifying the Company within seven days of the date I execute this
General Release. I further understand that if I do not timely revoke my
acceptance of paragraph 1, paragraph 1 of this General Release is final and
binding, and I agree not to challenge its enforceability. If I do challenge its
enforceability, I agree initially to tender to the Company the Payment made
under the Agreement, and invite the Company to retain such money and agree with
me to cancel this General Release. In the event the Company accepts my offer,
the Company shall retain such money and paragraph 1 of this General Release will
be void. In the event the Company does not accept my offer, the Company shall
place such money in an escrow account pending the resolution of any dispute as
to whether paragraph 1 of this General Release shall be set aside and/or
otherwise rendered unenforceable.

2.   GENERAL RELEASE OF CLAIMS OTHER THAN UNDER AGE DISCRIMINATION IN EMPLOYMENT
ACT. In consideration of the Payment to be made to me under the Agreement, I
hereby release, acquit, and forever discharge (i) the Company, and (ii) the
Released Parties, from any and all claims, liabilities, demands, and causes of
action of whatever kind or character, whether vicarious, derivative, or direct,
that I now have or claim against them connected in any way to the Agreement or
any claim for benefits under the Agreement, or my employment, continuation of
employment, or, if applicable, termination of employment with any of the
Released Parties, or with any other act, conduct, or omission of any of the
Released Parties, including but not limited to claims arising under any federal,
state, or local laws relating to the employment relationship, other than claims,
liabilities, demands, and causes of action under the Age Discrimination in
Employment Act. This General Release does not waive rights or claims that may
arise after the date this General Release is executed. Further in consideration
of the Payment to be made to me under the Agreement, I acknowledge and agree
that the Released Parties may recover from me any loss, including attorney's
fees and costs of defending against any claim brought by me, they may incur
arising out of my breach of this General Release.

3.   NO RELEASE OF COMPANY'S OBLIGATION TO MAKE TAX GROSS-UP PAYMENT UNDER THE
AGREEMENT. Any provision of this General Release to the contrary
notwithstanding, my execution of this General Release does not constitute a
release of the Company's obligation under the Agreement to make additional
payments to me if it shall be determined that I am subject to additional excise
tax under Section 4999 of the Internal Revenue Code of 1986, as amended, as a
result of any payments made or benefits provided to me pursuant to the Agreement
or otherwise in connection with a Change of Control (as defined in the
Agreement).

     I understand that I may not revoke my acceptance of paragraph 2 of this
General Release and that it is binding upon me whether or not I revoke my
acceptance of paragraph 1 of this General Release.
<PAGE>

     I have read and fully understand all of the provisions of this General
Release. I acknowledge that none of the Released Parties has made any promise or
representation to me in consideration for my agreement to execute this General
Release that is not set out in this General Release, and that in executing this
General Release I am not relying on any such promise or representation but
instead am relying solely on my own judgment. I further acknowledge that my
execution of this General Release is knowing and voluntary, that I have had a
reasonable time to consider its terms, and that I have been advised to consult
with an attorney about this General Release.

Date signed:___________________________      ________________________________
                                             Signature of Employee

Date signed:___________________________      ________________________________
                                             Witness

                                      -2-

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