SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549


                                  SCHEDULE 13D


                               (AMENDMENT NO. 10)


                   Under the Securities Exchange Act of 1934*


                           Dawson Geophysical Company
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                                (Name of Issuer)


                   Common Stock, par value $.33 1/3 per share
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                         (Title of Class of Securities)


                                   239359 10 2
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                                 (CUSIP Number)


                              Richard E. Blohm, Jr.
                        1415 Louisiana Street, Suite 3000
                              Houston, Texas 77002
                                 (713) 739-6500
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            (Name, Address and Telephone Number of Person Authorized
                     to Receive Notices and Communications)


                                  July 16, 2004
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             (Date of Event which Requires Filing of this Statement)



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


Note: Schedules filed in paper format shall include a signed original and five
copies of the schedule, including all exhibits. See Rule 13d-7 for other parties
to whom copies are to be sent.


*The remainder of this cover page should be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter
disclosures provided in a prior cover page.


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




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CUSIP No. 239359 10 2              SCHEDULE 13D                Page 2 of 6 pages
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1.  NAMES OF REPORTING PERSON
    S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

    Pebbleton Corporation N.V.
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2.  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
    (A) [ ]

    (B) [ ]

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3.  SEC USE ONLY


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4.  SOURCE OF FUNDS*

    00
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5.  CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT
    TO ITEMS 2(d) OR 2(e)

    [ ]
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6.  CITIZENSHIP OR PLACE OF ORGANIZATION

    Netherlands Antilles
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                7.  SOLE VOTING POWER
  NUMBER OF
                    0
   SHARES      -----------------------------------------------------------------
                8.  SHARED VOTING POWER
BENEFICIALLY
                    910,000
OWNED BY EACH  -----------------------------------------------------------------
                9.  SOLE DISPOSITIVE POWER
  REPORTING
                    0
   PERSON      -----------------------------------------------------------------
               10.  SHARED DISPOSITIVE POWER
    WITH
                    910,000
--------------------------------------------------------------------------------
11.  AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

     910,000
--------------------------------------------------------------------------------
12.  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
     CERTAIN SHARES*

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

     16.34%
--------------------------------------------------------------------------------
14.  TYPE OF REPORTING PERSON*

     CO
--------------------------------------------------------------------------------








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CUSIP No. 239359 10 2              SCHEDULE 13D                Page 3 of 6 pages
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1.  NAMES OF REPORTING PERSON
    S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

    Issam M. Fares
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2.  CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
    (A) [ ]

    (B) [ ]

--------------------------------------------------------------------------------
3.  SEC USE ONLY


--------------------------------------------------------------------------------
4.  SOURCE OF FUNDS*

    00
--------------------------------------------------------------------------------
5.  CHECK BOX IF DISCLOSURE OF LEGAL PROCEEDINGS IS REQUIRED PURSUANT
    TO ITEMS 2(d) OR 2(e)

    [ ]
--------------------------------------------------------------------------------
6.  CITIZENSHIP OR PLACE OF ORGANIZATION

    Lebanon
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                7.  SOLE VOTING POWER
  NUMBER OF
                    0
   SHARES      -----------------------------------------------------------------
                8.  SHARED VOTING POWER
BENEFICIALLY
                    910,000
OWNED BY EACH  -----------------------------------------------------------------
                9.  SOLE DISPOSITIVE POWER
  REPORTING
                    0
   PERSON      -----------------------------------------------------------------
               10.  SHARED DISPOSITIVE POWER
    WITH
                    910,000
--------------------------------------------------------------------------------
11.  AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

     910,000
--------------------------------------------------------------------------------
12.  CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (11) EXCLUDES
     CERTAIN SHARES*

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

     16.34%
--------------------------------------------------------------------------------
14.  TYPE OF REPORTING PERSON*

     IN
--------------------------------------------------------------------------------















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CUSIP No. 239359 10 2              SCHEDULE 13D                Page 4 of 6 pages
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         Unless otherwise defined or indicated in this Amendment No. 10,
capitalized terms which are used herein and are defined in the Schedule 13D
filed October 16, 1998, as heretofore amended (the "Original 13D"), shall have
the meanings assigned to them in the Original 13D. All information herein with
respect to Dawson Geophysical Company, a Texas corporation (the "Issuer"), is to
the best knowledge and belief of the Reporting Persons, as defined herein.

ITEM 2.  IDENTITY AND BACKGROUND

         The text of Item 2 of the Original 13D is hereby deleted in its
entirety and the following substituted therefor:

         This Amendment No. 10 is filed by (a) Pebbleton Corporation N.V., a
corporation organized under the laws of the Netherlands Antilles ("Pebbleton"),
and (b) Mr. Issam M. Fares, a Lebanese citizen ("Mr. Fares" and together with
Pebbleton, the "Reporting Persons").

         The principal business of Pebbleton is to hold investments in other
companies. The address of the principal business offices of Pebbleton and the
address of Mr. Fares is Pietermaai 15, Curacao, Netherlands Antilles. Mr. Fares
serves as a managing director of Pebbleton. N.V. Fides, a Netherlands Antilles
corporation, functions as a Managing Director of Pebbleton in order to comply
with Netherlands Antilles regulations requiring resident directors. There are no
other officers or directors of Pebbleton. The filing of this statement shall not
be construed as an admission that N.V. Fides is, for the purposes of Section
13(d) or 13(g) of the Securities Exchange Act of 1934, as amended (the "Act"),
the beneficial owner of any securities covered by this statement.

         Neither of the Reporting Persons, nor, to their knowledge, N.V. Fides,
has been during the last five years (a) convicted of any criminal proceeding
(excluding traffic violations or similar misdemeanors) or (b) a party to a civil
proceeding of a judicial or administrative body of competent jurisdiction and as
a result of such proceeding was or is subject to a judgment, decree or final
order enjoining future violations of, or prohibiting or mandating activities
subject to, United States federal or state securities laws or finding any
violations with respect to such laws.

ITEM 4.  PURPOSE OF TRANSACTION

         The text of Item 4 of the Original 13D is hereby deleted in its
entirety and the following substituted therefor:

         The purchases of the Common Stock of the Issuer by the Reporting
Persons were made on The Nasdaq Stock Market, Inc., the principal market in
which shares of the Issuer's Common Stock are traded, and such acquisitions were
made for investment purposes.

         The Reporting Persons intend to review their investment in the Issuer
on a continuing basis and, depending upon the price of, and other market
conditions relating to the Common Stock, subsequent developments affecting the
Issuer, the Issuer's business and


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CUSIP No. 239359 10 2              SCHEDULE 13D                Page 5 of 6 pages
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prospects, other investment and business opportunities available to the
Reporting Persons, general stock market and economic conditions, tax
considerations and other factors deemed relevant, may decide to decrease the
size of their investment in the Issuer.

ITEM 5.  INTEREST IN SECURITIES OF THE ISSUER

         The text of Item 5 is hereby deleted in its entirety and the following
substituted therefor:

         (a)  As set forth herein, Pebbleton owns 910,000 shares of Common Stock
              of the Issuer, which represents approximately 16.34% of the
              outstanding Common Stock (based upon 5,570,294 shares of Common
              Stock outstanding, as reported in the Issuer's Quarterly Report on
              Form 10-Q for the period ending March 31, 2004).

              As set forth herein, Mr. Fares may be deemed to beneficially own
              910,000 shares of Common Stock of the Issuer, which represents
              approximately 16.34% of the outstanding Common Stock (based upon
              5,570,294 shares of Common Stock outstanding, as reported in the
              Issuer's Quarterly Report on Form 10-Q for the period ending March
              31, 2004).

         (b)  Mr. Fares may be deemed to beneficially own and thereby share
              voting and dispositive power over the shares of Common Stock
              described herein which are held by Pebbleton. See Item 2.

         (c)  Set forth in Exhibit A to this Amendment No. 10 is a list of all
              transactions effected in the Issuer's Common Stock by Pebbleton
              within the past sixty days, including (i) the identity of the
              person effecting transactions in the Issuer's Common Stock; (ii)
              the date of the transaction; (iii) the amount of securities
              involved; (iv) the price per share of Common Stock; and (v) where
              and how the transaction was effected. Other than the transactions
              described in this Item 5, neither of the Reporting Persons nor to
              the knowledge of the Reporting Persons, any of their officers or
              directors, has effected any transaction in the Common Stock during
              the past 60 days.

ITEM 7.  MATERIAL TO BE FILED AS EXHIBITS.

         Item 7 of the Original Statement is hereby amended to add the following
exhibit:

         Exhibit A       Transactions in Common Stock by Pebbleton


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CUSIP No. 239359 10 2              SCHEDULE 13D                Page 6 of 6 pages
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                                    SIGNATURE


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

         Dated:  July 22, 2004.

                                       PEBBLETON CORPORATION N.V.

                                       By:  Issam M. Fares,
                                            its Managing Director

                                            By:   /s/ Richard E. Blohm, Jr.
                                                  ------------------------------
                                                  Richard E. Blohm, Jr.
                                                  Attorney-in-Fact



                                       ISSAM M. FARES



                                       By:  /s/ Richard E. Blohm, Jr.
                                            -----------------------------------
                                            Richard E. Blohm, Jr.
                                            Attorney-in-Fact



                                INDEX TO EXHIBIT


Exhibit
Number               Description
-------              -----------

Exhibit A            Transactions in Common Stock by Pebbleton