==========                                                   OMB APPROVAL
  FORM 4                                             OMB Number:      3235-0287
==========                                           Expires:  January 31, 2005
                                                     Estimated average burden
[_]  Check this box if no longer                     hours per response.....0.5
     subject to Section 16. Form 4
     or Form 5 obligations may
     continue. See Instruction 1(b).


                UNITED STATES SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                  STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP

    Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934,
       Section 17(a) of the Public Utility Holding Company Act of 1935 or
               Section 30(h) of the Investment Company Act of 1940

(Print or Type Responses)
________________________________________________________________________________
1.   Name and Address of Reporting Person*

TOBIAS                                 C.                     RAY
- --------------------------------------------------------------------------------
   (Last)                           (First)             (Middle)

508 W. WALL, SUITE 800
- --------------------------------------------------------------------------------
                                    (Street)

MIDLAND                              TX               79701
- --------------------------------------------------------------------------------
   (City)                           (State)              (Zip)


________________________________________________________________________________
2.   Issuer Name and Ticker or Trading Symbol


DWSN DAWSON GEOPHYSICAL COMPANY
________________________________________________________________________________
3.   I.R.S. Identification Number of Reporting Person, if an entity (voluntary)


###-##-####
_______________________________________________________________________________
4.   Statement for Month/Day/Year


     4/03
________________________________________________________________________________
5.   If Amendment, Date of Original (Month/Day/Year)


________________________________________________________________________________
6.   Relationship of Reporting Person(s) to Issuer
     (Check all applicable)

     [X]  Director                             [_]  10% Owner
     [X]  Officer (give title below)           [_]  Other (specify below)


EXECUTIVE VICE PRESIDENT
_____________________________________________________________________________
7.   Individual or Joint/Group Filing (Check Applicable Line)

     [X]  Form filed by One Reporting Person
     [_]  Form filed by More than One Reporting Person
________________________________________________________________________________


================================================================================
           TABLE I -- NON-DERIVATIVE SECURITIES ACQUIRED, DISPOSED OF,
                              OR BENEFICIALLY OWNED
================================================================================
4. Securities Acquired (A) 5. Amount of or Disposed of Securities (D) (Instr. 3, Beneficially 2A. Deemed 3. Transaction 4 and 5) Owned Follow- 6. Ownership 7. Nature of Execution Code ----------------- ing Reported Form: Indirect 1. Title of 2. Transaction Date, if (Instr. 8) (A) Transaction(s) Direct (D) or Beneficial Security Date (Month/ any (Month ----------- or (Instr. 3 Indirect (I) Ownership (Instr. 3) Day/Year) Day/Year) Code V Amount (D) Price and 4) (Instr.4) (Instr. 4) - ----------------- COMMON 04/16/2003 S 2,000 D 6.70 15,025 D - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ ====================================================================================================================================
FORM 4 (continued) ================================================================================ TABLE II -- DERIVATIVE SECURITIES ACQUIRED, DISPOSED OF, OR BENEFICIALLY OWNED (E.G., PUTS, CALLS, WARRANTS, OPTIONS, CONVERTIBLE SECURITIES) ================================================================================
5. 9. Number Number of of 10. Deriv- 7. Deriv- Owner- ative Title and ative ship Secur- Amount of Secur- Form of ities Underlying ities Deriv- 11. 2. Acquired 6. Securities 8. Bene- ative Nature Conver- 4. (A) or Date (Instr. 3 Price ficially Secur- of In- sion or 3. 3A. Trans- Disposed Exercisable and and 4) of Owned ities: direct Exer- Trans- Deemed action of (D) Expiration Date ------------- Deriv- Following Direct Bene- 1. cise action Execution Code (Instr. (Month/Day/Year) Amount ative Reported (D) or ficial Title of Price Date Date, if (Instr. 3, 4 ---------------- or Secur- Trans- Indirect Owner- Derivative of Deriv- (Month/ any 8) and 5) Date Expira- Number ity action(s) (I) ship Security ative Day/ (Month/ ------ -------- Exer- tion of (Instr. (Instr. (Instr. (Instr. (Instr. 3) Security Year) Day/Year) Code V (A) (D) cisable Date Title Shares 5) 4) 4) 4) - --------------------------------------------------------------------------------------------------------------------------- - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ ====================================================================================================================================
Explanation of Responses: /s/ C. Ray Tobias 4-16-03 - --------------------------------------------- ----------------------- **Signature of Reporting Person Date Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly. * If the Form is filed by more than one Reporting Person, see Instruction 4(b)(v). ** Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a). Note: File three copies of this Form, one of which must be manually signed. If space provided is insufficient, see Instruction 6 for procedure.