<PAGE>
                                                                    EXHIBIT 11.1

                           W-H Energy Services, Inc.

             Statement Regarding Computation of Earnings Per Share

The following reflects the information used in calculating the number of shares
in the computation of net income per share for each of the periods set forth in
the Consolidated Statements of Operations and Comprehensive Income.



<Table>
<Caption>
                                                                                                AVERAGE
                                                             DAYS                                SHARES                    INCOME
                                            SHARES        OUTSTANDING     SHARES X DAYS        OUTSTANDING       INCOME   PER SHARE
                                            ------        -----------     -------------        -----------       ------   ---------
<S>                                      <C>              <C>            <C>                   <C>               <C>      <C>
BASIC:

Three months ended March 31, 2002         25,772,626           2            51,545,252
                                          25,775,051           5           128,875,255
                                          25,778,351           2            51,556,702
                                          25,780,851           6           154,685,106
                                          25,809,649          16           412,954,384
                                          25,811,886           5           129,059,430
                                          25,813,536          10           258,135,360
                                          25,814,536           7           180,701,752
                                          25,814,949           3            77,444,847
                                          25,828,354           3            77,485,062
                                          25,832,169           1            25,832,169
                                          25,851,969           4           103,407,876
                                          25,852,969           1            25,852,969
                                          25,855,032           1            25,855,032
                                          25,857,713           4           103,430,852
                                          25,858,163           2            51,716,326
                                          25,887,670           5           129,438,350
                                          25,891,164           1            25,891,164
                                          25,892,814           7           181,249,698
                                          25,917,564           5           129,587,820

                                                              90         2,324,705,406  /90     25,830,060      5,462,000   0.21

Three months ended March 31, 2003         27,015,847           3            81,047,541
                                          27,020,847           7           189,145,929
                                          27,028,247           3            81,084,741
                                          27,032,647           1            27,032,647
                                          27,035,647          14           378,499,058
                                          27,038,947           3            81,116,841
                                          27,039,788          14           378,557,032
                                          27,041,438           7           189,290,066
                                          27,045,422           5           135,227,110
                                          27,046,522          14           378,651,308
                                          27,048,522           5           135,242,610
                                          27,064,466          14           378,902,524

                                                              90         2,433,797,407  /90     27,042,193      5,868,000   0.22

DILUTED

Three months ended March 31, 2002         27,426,826           2            54,853,653
                                          27,429,251           5           137,146,257
                                          27,432,551           2            54,865,103
                                          27,435,051           6           164,610,308
                                          27,463,849          16           439,421,589
                                          27,466,086           5           137,330,432
                                          27,467,736          10           274,677,363
                                          27,468,736           7           192,281,154
                                          27,469,149           3            82,407,448
                                          27,482,554           3            82,447,663
                                          27,486,369           1            27,486,369
                                          27,506,169           4           110,024,677
                                          27,507,169           1            27,507,169
                                          27,509,232           1            27,509,232
                                          27,511,913           4           110,047,653
                                          27,512,363           2            55,024,727
                                          27,541,870           5           137,709,352
                                          27,545,364           1            27,545,364
                                          27,547,014           7           192,829,100
                                          27,571,764           5           137,858,822
</Table>
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<Table>
<S>                                      <C>              <C>            <C>                   <C>               <C>      <C>
                                                              90         2,473,583,434  /90     27,484,260      5,462,000   0.20


Three Months ended March 31, 2003         27,912,237           3            83,736,711
                                          27,917,237           7           195,420,659
                                          27,924,637           3            83,773,911
                                          27,929,037           1            27,929,037
                                          27,932,037          14           391,048,518
                                          27,935,337           3            83,806,011
                                          27,936,178          14           391,106,492
                                          27,937,828           7           195,564,796
                                          27,941,812           5           139,709,060
                                          27,942,912          14           391,200,768
                                          27,944,912           5           139,724,560
                                          27,960,856          14           391,451,984

                                                              90         2,514,472,508  /90     27,938,583      5,868,000   0.21
</Table>