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



                                 SCHEDULE 13G/A
                                   4/27/2004


                   Under the Securities Exchange Act of 1934

                             (Amendment No. 2)


                            DAWSON GEOPHYSICAL CO.
                               (Name of Issuer)


                        COMMON STOCK $.331/3 par value
                        (Title of Class of Securities)


                                   239359102
                                (CUSIP Number)


Check the following box if a fee is being paid with this
statement [    ].  (A
fee is not required only if the filing person:  (1) has a
previous statement on
file reporting beneficial ownership of more than five
percent of the class of
securities described in Item 1; and (2) has filed no
amendment subsequent
thereto reporting beneficial ownership of five percent or
less of such class.)
(See Rule 13d-7).

*The remainder of this cover page shall 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 the
disclosures provided in a prior cover page.

The information required in 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).



                               Page 1 of 5 pages

- - - --------------------------------------------
  CUSIP NO.  239359102           13G
PAGE 2 OF 5 PAGES
- - - -----------------------
- - --------------------

- - - ----------------------------------------------------------
- - --------------------
      NAME OF REPORTING PERSON
 1    S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

      GRACE & WHITE, INC.

      #13-2884675
- - - ----------------------------------------------------------
- - --------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
 2
(a) [_]

(b) [_]

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


- - - ----------------------------------------------------------
- - --------------------
      CITIZENSHIP OR PLACE OF ORGANIZATION
 4

      NEW YORK, U.S.A.
- - - ----------------------------------------------------------
- - --------------------
                          SOLE VOTING POWER
                     5
     NUMBER OF
                          29,600
      SHARES       -----------------------------------------
- - ------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6

     OWNED BY             NONE
                   -----------------------------------------
- - ------------------
       EACH               SOLE DISPOSITIVE POWER
                     7
    REPORTING
                          263,400
      PERSON       -----------------------------------------
- - ------------------
                          SHARED DISPOSITIVE POWER
       WITH          8
                          NONE
- - - ----------------------------------------------------------
- - --------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING
     PERSON
 9
          263,400

- - - ----------------------------------------------------------
- - --------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
      CERTAIN SHARES*
10

[_]

- - - ----------------------------------------------------------
- - --------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW (9)
11

     4.80%
- - - ----------------------------------------------------------
- - --------------------
      TYPE OF REPORTING PERSON*
12
      IA.
- - - --------------
CUSIP NUMBER -----------------------------------------------
- - -----------------

 239359102              Page 3 Of 5 Pages

Item 1.
    (a) Name of Issuer:  DAWSON GEOPHYSICAL CO.
        --------------


    (b) Address of Issuer's Principal Executive Offices:
        -----------------------------------------------
        508 WEST WALL, SUITE 800
        MIDLAND, TEXAS 79701
Item 2.
    (a) Name of Person Filing:    Grace & White, Inc.
        ---------------------


    (b) Address of Principal Business Office:
        ------------------------------------
        Grace & White, Inc.
        515 Madison Ave. Suite 1700
        New York, New York 10022


    (c) Citizenship:       New York Corporation
        -----------

    (d) Title of Class of Securities:  Common Stock $.331/3 par value
        ----------------------------

    (e) CUSIP Number: 239359102
        ------------

Item 3. If this statement is filed pursuant to Rule 13d-
1(b),
        ---------------------------------------------------
- - -
        or 13d-2(b), check whether the person filing is a:
        ---------------------------------------------------
 (e) X  Investment adviser registered under Section 203 of
    --- the Investment Advisers Act of 1940.

Item 4. Ownership.
        ---------

    (a) Amount beneficially owned:
        --------------------------
        The shares of Common Stock beneficially owned by
        Grace & White, Inc. by this Schedule amount to
        263,400 shares.

    (b) Percent of Class:
        -----------------
        4.80%

    (c) For information on voting and dispositive power with
        above listed shares, see Items 5-8 of the Cover Page.


Item 5. Ownership of Five Percent or Less of a Class.
        --------------------------------------------
         This statement is being filed to report the fact that
         as of April 27, 2004, Grace & White, Inc. has ceased to be
         the beneficial owner of more than five percent of the
         common stock.



Item 6. Ownership of more than Five Percent on Behalf of
        Another Person
        ----------------------------------------------------
         N/A


Item 7. Identification and Classification of the Subsidiary
        Which Acquired the Security Being Reported on
        By the Parent Holding Company.
      -------------------------------------------------------

        N/A.

Item 8. Identification and Classification of Members of the
        Group.
        ----------------------------------------------------

        N/A

Item 9. Notice of Dissolution of Group.
        ------------------------------

        N/A.

Item 10.  Certification.
          -------------

     By signing below, I certify that, to the best of my
     knowledge and belief, the securities referred to above
     were acquired in the ordinary course of business and
     were not acquired for the purpose of and do not have
     the effect of changing or influencing the control of
     the issuer of such securities and were not acquired in
     connection with or as a participant in any transaction
     having such purposes or effect.

                             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.

DATE: April 28, 2004

                           Grace & White, Inc.

                           By:/s/ MARC RAVITZ
                               -----------------
                                 Marc Ravitz
                                 Vice President