ABRAXAS PETROLEUM CORP
SC 13G/A, 1997-02-14
CRUDE PETROLEUM & NATURAL GAS
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<PAGE>
 
                                                   -----------------------------
                                                            OMB APPROVAL
                                                   -----------------------------
                                                    OMBA Number: 3235-0145
                                                    Expires: October 31, 1994
                                                    Estimated average burden
                                                    hours per response ... 14.90
                                                   -----------------------------
 
                                 UNITED STATES
                      SECURITIES AND EXCHANGE COMMISSION
                            Washington, D.C. 20549


                                 SCHEDULE 13G

                   Under the Securities Exchange Act of 1934

                          (Amendment No.     3    )*
                                         ---------

                            Abraxas Petroleum Corp.
- --------------------------------------------------------------------------------
                               (Name of Issuer)

                                 Common Stock
- --------------------------------------------------------------------------------
                        (Title of Class of Securities)

                                   003830106
                            -----------------------
                                (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 8 pages
<PAGE>

- -----------------------                                  ---------------------
  CUSIP NO. 003830106                   13G                PAGE 2 OF 8 PAGES
- -----------------------                                  ---------------------
 
- ------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1    S.S or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

         Wanger Asset Management, L.P. 36-3820584

- ------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
 2                                                              (a) [_]
      Not Applicable                                            (b) [_]
                                                 
- ------------------------------------------------------------------------------
      SEC USE ONLY
 3


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

- ------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     5     
     NUMBER OF              None
 
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6    
                            110,000
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     7     
    REPORTING               None
 
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH          8    
                            110,000

- ------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
 9    
         110,000

- ------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
10                  
         Not Applicable
 
- ------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
11    
         1.89%

- ------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON*
12
         IA

- ------------------------------------------------------------------------------

                     *SEE INSTRUCTION BEFORE FILLING OUT!
<PAGE>
 
- -----------------------                                  ---------------------
  CUSIP NO. 003830106                   13G                PAGE 3 OF 8 PAGES
- -----------------------                                  ---------------------
 
- ------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1    S.S or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

         Wanger Asset Management, Ltd.

- ------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
 2                                                              (a) [_]
      Not Applicable                                            (b) [_]
                                                 
- ------------------------------------------------------------------------------
      SEC USE ONLY
 3


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

- ------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     5     
     NUMBER OF              None
 
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6    
                            110,000
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     7     
    REPORTING               None
 
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH          8    
                            110,000

- ------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
 9    
         110,000

- ------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
10                  
         Not Applicable
 
- ------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
11    
         1.89%

- ------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON*
12
         CO

- ------------------------------------------------------------------------------

                     *SEE INSTRUCTION BEFORE FILLING OUT!
<PAGE>
 
- -----------------------                                  ---------------------
  CUSIP NO. 003830106                   13G                PAGE 4 OF 8 PAGES
- -----------------------                                  ---------------------
 
- ------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1    S.S or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

         Ralph Wanger 

- ------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
 2                                                              (a) [_]
      Not Applicable                                            (b) [_]
                                                 
- ------------------------------------------------------------------------------
      SEC USE ONLY
 3


- ------------------------------------------------------------------------------
      CITIZENSHIP OR PLACE OF ORGANIZATION
 4    
         U.S.A.

- ------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     5     
     NUMBER OF              None
 
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6    
                            110,000
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     7     
    REPORTING               None
 
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH          8    
                            110,000

- ------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
 9    
         110,000

- ------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
10                  
         Not Applicable
 
- ------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
11    
         1.89%

- ------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON*
12
         IN

- ------------------------------------------------------------------------------

                     *SEE INSTRUCTION BEFORE FILLING OUT!
<PAGE>
 
Item 1(a)      Name of Issuer:

                    Abraxas Petroleum Corp.

Item 1(b)      Address of Issuer's Principal Executive Offices:

                    909 NE Loop 410, Ste. 900
                    San Antonio, TX 78209

Item 2(a)      Name of Person Filing:

                    Wanger Asset Management, L.P. ("WAM");
                    Wanger Asset Management, Ltd., the general partner of WAM
                    ("WAM LTD.");
                    Ralph Wanger ("Wanger")

Item 2(b)      Address of Principal Business Office:

                    WAM, WAM LTD. and Wanger are all located at:
                    227 West Monroe Street, Suite 3000
                    Chicago, Illinois 60606

Item 2(c)      Citizenship:

                    WAM is a Delaware limited partnership.
                    WAM LTD. is a Delaware corporation.
                    Wanger is a U.S. citizen.

Item 2(d)      Title of Class of Securities:

                    Common Stock

Item 2(e)      CUSIP Number:

                    003830106

Item 3         Type of Person:

                    (e)  WAM is an Investment Adviser registered under section 
                    203 of the Investment Advisers Act of 1940; WAM LTD. is the
                    General Partner of the Investment Adviser; Wanger is the
                    principal stockholder of the General Partner.

                               Page 5 of 8 pages
<PAGE>
 
Item 4         Ownership (at December 31, 1996):

                    (a)  Amount owned "beneficially" within the meaning of rule 
                         13d-3:

                         110,000 shares

                    (b)  Percent of class:

                         1.89% (based on 5,804,812 shares outstanding as of 
                         November 14, 1996)

                    (c)  Number of shares as to which such person has:

                           (i)   sole power to vote or to direct the vote: none
                           (ii)  shared power to vote or to direct the vote:
                                 110,000
                           (iii) sole power to dispose or to direct the 
                                 disposition of: none
                           (iv)  shared power to dispose or to direct 
                                 disposition of: 110,000

                       WAM serves as investment adviser to Acorn Investment
                       Trust, Series Designated Acorn Fund (the "Trust").
                       Various of WAM's limited partners and employees are also
                       officers and trustees of the Trust, but WAM does not
                       consider the Trust to be controlled by such persons.
                       Although the Trust is not controlled by WAM, pursuant to
                       rule 13d-3(a) the 110,000 shares beneficially owned by
                       the Trust, with respect to which the Trust has delegated
                       to WAM shared voting power and shared dispositive power,
                       are considered to be shares beneficially owned by WAM by
                       reason of such delegated powers. In addition to the
                       shares beneficially owned by the Trust, other clients of
                       WAM may own shares which are not included in the
                       aggregate number of shares reported herein because WAM
                       does not have or share voting or investment power over
                       those shares.

Item 5         Ownership of Five Percent or Less of a Class:

                    If this statement is being filed to report the fact that as
                    of the date hereof the reporting person has ceased to be the
                    beneficial owner of more than five percent of a class of
                    equity security, check the following (X).

Item 6         Ownership of More than Five Percent on Behalf of Another Person:

                    The shares reported herein have been acquired on behalf of
                    discretionary clients of WAM. Persons other than WAM are
                    entitled to receive all dividends from, and proceeds from
                    the sale of, those shares.

                               Page 6 of 8 pages
<PAGE>
 
Item 7         Identification and Classification of the Subsidiary Which 
               Acquired the Security Being Reported on by the Parent Holding 
               Company:

                    Not Applicable

Item 8         Identification and Classification of Members of the Group:

                    Not Applicable

Item 9         Notice of Dissolution of Group:
          
                    Not Applicable

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 purpose or effect.

                               Page 7 of 8 pages
<PAGE>
 
                                   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: February 14, 1997


               The undersigned corporation, on the date above written, agrees
               and consents to the joint filing on its behalf of this Schedule
               13G in connection with its beneficial ownership of the security
               reported herein.


                                        WANGER ASSET MANAGEMENT, LTD.
                                          for itself and as general partner of
                                          WANGER ASSET MANAGEMENT, L.P.



                                        By: /s/ Bruce H. Lauer
                                           -------------------------------------
                                                Bruce H. Lauer
                                                Vice President

     
               The undersigned corporation, on the date above written, agrees
               and consents to the joint filing on his behalf of this Schedule
               13G in connection with his beneficial ownership of the security
               reported herein.
     
  

                                        RALPH WANGER


                                        /s/ Ralph Wanger
                                        ----------------------------------------

                               Page 8 of 8 pages

<PAGE>
 
                                                      --------------------------
                                                              OMB APPROVAL
                                                      --------------------------
                                                      OMBA Number:     3235-0145
                                                      Expires:  October 31, 1994
                                                      Estimated average burden
                                                      hours per response...14.90
                                                      --------------------------

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

                                 SCHEDULE 13G

                   Under the Securities Exchange Act of 1934

                              (Amendment No.      2    )*
                                             ----------

                            Abraxas Petroleum Corp.
- --------------------------------------------------------------------------------
                               (Name of Issuer)

                                 Common Stock
- --------------------------------------------------------------------------------
                        (Title of Class of Securities)


                                   003830106
                        ------------------------------
                                (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 8 pages

<PAGE>

- -----------------------                                  ---------------------
  CUSIP NO. 003830106                   13G                PAGE 2 OF 8 PAGES
- -----------------------                                  ---------------------
 
- ------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1    S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

        Wanger Asset Management, L.P. 36-3820584

- ------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
 2                                                              (a) [_]
        Not Applicable                                          (b) [_]
                                                 
- ------------------------------------------------------------------------------
      SEC USE ONLY
 3
        

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

- ------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     5     
     NUMBER OF              None
 
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6    
                            516,000
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     7     
    REPORTING               None
 
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH          8     
                            516,000 
                  
- ------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
 9    
        516,000

- ------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
10                  
        Not Applicable
 
- ------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
11    
        8.92%  
    
- ------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON*
12
        IA

- ------------------------------------------------------------------------------

                     *SEE INSTRUCTION BEFORE FILLING OUT!

<PAGE>
 
- -----------------------                                  ---------------------
  CUSIP NO. 003830106                   13G                PAGE 3 OF 8 PAGES
- -----------------------                                  ---------------------
 
- ------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1    S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

        Wanger Asset Management, Ltd.           

- ------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
 2                                                              (a) [_]
        Not Applicable                                          (b) [_]
                                                 
- ------------------------------------------------------------------------------
      SEC USE ONLY
 3
        

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

- ------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     5     
     NUMBER OF              None
 
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6    
                            516,000
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     7     
    REPORTING               None
 
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH          8     
                            516,000 
                  
- ------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
 9    
        516,000

- ------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
10                  
        Not Applicable
 
- ------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
11    
        8.92%  
    
- ------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON*
12
        CO

- ------------------------------------------------------------------------------

                     *SEE INSTRUCTION BEFORE FILLING OUT!


<PAGE>
 
- -----------------------                                  ---------------------
  CUSIP NO. 003830106                   13G                PAGE 4 OF 8 PAGES
- -----------------------                                  ---------------------
 
- ------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1    S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

        Ralph Wanger                                  

- ------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
 2                                                              (a) [_]
        Not Applicable                                          (b) [_]
                                                 
- ------------------------------------------------------------------------------
      SEC USE ONLY
 3
        

- ------------------------------------------------------------------------------
      CITIZENSHIP OR PLACE OF ORGANIZATION
 4    
        U.S.A.  

- ------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     5     
     NUMBER OF              None
 
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6    
                            516,000
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     7     
    REPORTING               None
 
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH          8     
                            516,000 
                  
- ------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
 9    
        516,000

- ------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
10                  
        Not Applicable
 
- ------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
11    
        8.92%
    
- ------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON*
12
        IN

- ------------------------------------------------------------------------------

                     *SEE INSTRUCTION BEFORE FILLING OUT!

<PAGE>
 
Item 1(a)           Name of Issuer:

                         Abraxas Petroleum Corp.

Item 1(b)           Address of Issuer's Principal Executive Offices:

                         909 NE Loop 410, Ste. 900
                         San Antonio, TX 78209

Item 2(a)           Name of Person Filing:

                         Wanger Asset Management, L.P. ("WAM");
                         Wanger Asset Management Ltd., the general partner of
                         WAM ("WAM LTD.");
                         Ralph Wanger ("Wanger")

Item 2(b)           Address of Principal Business Office:

                         WAM, WAM LTD. and Wanger are all located at:
                         227 West Monroe Street, Suite 3000
                         Chicago, Illinois 60606

Item 2(c)           Citizenship:

                         WAM is a Delaware limited partnership.
                         WAM LTD. is a Delaware corporation.
                         Wanger is a U.S. citizen.

Item 2(d)           Title of Class of Securities:

                         Common Stock

Item 2(e)           CUSIP Number:

                         003830106

Item 3              Type of Person:

                         (e) WAM is an Investment Adviser registered under
                         section 203 of the Investment Advisers Act of 1940; WAM
                         LTD. is the General Partner of the Investment Adviser;
                         Wanger is the principal stockholder of the General
                         Partner.

                               Page 5 of 8 pages
<PAGE>
 

Item 4         Ownership (at December 31, 1995):
                                            --

                         (a)  Amount owned "beneficially" within the meaning of 
                              rule 13d-3:

                              516,000 shares

                         (b)  Percent of class:

                              8.92% (based on 5,787,262 shares outstanding as of
                              December 31, 1995)

                         (c)  Number of shares as to which such person has:

                                   (i)  sole power to vote or to direct the 
                                        vote: none
                                  (ii)  shared power to vote or to direct the 
                                        vote: 516,000
                                 (iii)  sole power to dispose or to direct the 
                                        disposition of: none
                                  (iv)  shared power to dispose or to direct 
                                        disposition of: 516,000

                              WAM serves as investment adviser to Acorn
                              Investment Trust, Series Designated Acorn Fund
                              (the "Trust"). Various of WAM's limited partners
                              and employees are also officers and trustees of
                              the Trust, but WAM does not consider the Trust to
                              be controlled by such persons. Although the Trust
                              is not controlled by WAM, pursuant to rule 13d-
                              3(a) the 360,000 shares beneficially owned by the
                              Trust, with respect to which the Trust has
                              delegated to WAM shared voting power and shared
                              dispositive power, are considered to be shares
                              beneficially owned by WAM by reason of such
                              delegated powers. In addition to the shares
                              beneficially owned by the Trust, other clients of
                              WAM may own shares which are not included in the
                              aggregate number of shares reported herein because
                              WAM does not have or share voting or investment
                              power over those shares.

Item 5         Ownership of Five Percent or Less of a Class:

                         Not Applicable

Item 6         Ownership of More than Five Percent on Behalf of Another Person:

                         The shares reported herein have been acquired on behalf
                         of discretionary clients of WAM. Persons other than WAM
                         are entitled to receive all dividends from, and
                         proceeds from the sale of, those shares.

                               Page 6 of 8 pages
<PAGE>
 

Item 7         Identification and Classification of the Subsidiary Which
               Acquired the Security Being Reported on by the Parent Holding
               Company:

                    Not Applicable

Item 8         Identification and Classification of Members of the Group:
                         
                    Not Applicable

Item 9         Notice of Dissolution of Group:

                    Not Applicable 

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 purpose or effect.

                               Page 7 of 8 pages
<PAGE>
 

                                   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: February 9, 1996

                    The undersigned corporation, on the date above written,
                    agrees and consents to the joint filing on its behalf of
                    this Schedule 13G in connection with its beneficial
                    ownership of the security reported herein.


                                     WANGER ASSET MANAGEMENT, LTD.        
                                      for itself and as general partner of 
                                      WANGER ASSET MANAGEMENT, L.P.        


                                                                          
                                     By: /s/ Robert M. Slotky             
                                         ------------------------------------
                                             Robert M. Slotky             
                                             Chief Financial Officer       


                    The undersigned individual, on the date above written,
                    agrees and consents to the joint filing on his behalf of
                    this Schedule 13G in connection with his beneficial
                    ownership of the security reported herein.

                                     RALPH WANGER


                                     /s/ Ralph Wanger
                                     ----------------------------------------

                               Page 8 of 8 pages

<PAGE>
 

 
                                                 ----------------------------
                                                          OMB APPROVAL
                                                 ----------------------------
                                                 OMBA Number:       3235-0145
                                                 Expires:    October 31, 1994
                                                 Estimated average burden
                                                 hours per response ... 14.90
                                                 ----------------------------

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

                                 SCHEDULE 13G

                   Under the Securities Exchange Act of 1934

                            (Amendment No.  1        )*
                                          -----------

                            Abraxas Petroleum Corp.
- ------------------------------------------------------------------------------
                                (Name of Issuer)

                                 Common Stock
- ------------------------------------------------------------------------------
                        (Title of Class of Securities)

                                   003830106
                              -------------------
                                (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 8 pages
<PAGE>
 
- -----------------------                                  ---------------------
  CUSIP NO. 003830106                   13G                PAGE 2 OF 8 PAGES
- -----------------------                                  ---------------------
 
- ------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1    S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

        Wanger Asset Management, L.P. 36-3820584

- ------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
 2                                                              (a) [_]
        Not Applicable                                          (b) [_]
                                                 
- ------------------------------------------------------------------------------
      SEC USE ONLY
 3
        

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

- ------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     5     
     NUMBER OF              None
 
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6    
                            415,000
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     7     
    REPORTING               None
 
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH          8     
                            415,000 
                  
- ------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
 9    
        415,000

- ------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
10                  
        Not Applicable
 
- ------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
11    
        9.63%  
    
- ------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON*
12
        IA

- ------------------------------------------------------------------------------

                     *SEE INSTRUCTION BEFORE FILLING OUT!


<PAGE>
 
- -----------------------                                  ---------------------
  CUSIP NO. 003830106                   13G                PAGE 3 OF 8 PAGES
- -----------------------                                  ---------------------
 
- ------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1    S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

        Wanger Asset Management, Ltd.           

- ------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
 2                                                              (a) [_]
        Not Applicable                                          (b) [_]
                                                 
- ------------------------------------------------------------------------------
      SEC USE ONLY
 3
        

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

- ------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     5     
     NUMBER OF              None
 
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6    
                            415,000
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     7     
    REPORTING               None
 
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH          8     
                            415,000 
                  
- ------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
 9    
        415,000

- ------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
10                  
        Not Applicable
 
- ------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
11    
        9.63%  
    
- ------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON*
12
        CO

- ------------------------------------------------------------------------------

                     *SEE INSTRUCTION BEFORE FILLING OUT!



<PAGE>
 
- -----------------------                                  ---------------------
  CUSIP NO. 003830106                   13G                PAGE 4 OF 8 PAGES
- -----------------------                                  ---------------------
 
- ------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1    S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

        Ralph Wanger                                  

- ------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
 2                                                              (a) [_]
        Not Applicable                                          (b) [_]
                                                 
- ------------------------------------------------------------------------------
      SEC USE ONLY
 3
        

- ------------------------------------------------------------------------------
      CITIZENSHIP OR PLACE OF ORGANIZATION
 4    
        U.S.A.  

- ------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     5     
     NUMBER OF              None
 
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6    
                            415,000
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     7     
    REPORTING               None
 
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH          8     
                            415,000 
                  
- ------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
 9    
        415,000

- ------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
10                  
        Not Applicable
 
- ------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
11    
        9.63%  
    
- ------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON*
12
        IN

- ------------------------------------------------------------------------------

                     *SEE INSTRUCTION BEFORE FILLING OUT!

<PAGE>
 
Item 1(a)           Name of Issuer:

                         Abraxas Petroleum Corp.

Item 1(b)           Address of Issuer's Principal Executive Offices:

                         909 NE Loop 410, Ste. 900
                         San Antonio, TX 78209

Item 2(a)           Name of Person Filing:

                         Wanger Asset Management, L.P. ("WAM");
                         Wanger Asset Management Ltd., the general partner of
                         WAM ("WAM LTD.");
                         Ralph Wanger ("Wanger")

Item 2(b)           Address of Principal Business Office:

                         WAM, WAM LTD. and Wanger are all located at:
                         227 West Monroe Street, Suite 3000
                         Chicago, Illinois 60606

Item 2(c)           Citizenship:

                         WAM is a Delaware limited partnership.
                         WAM LTD. is a Delaware corporation.
                         Wanger is a U.S. citizen.

Item 2(d)           Title of Class of Securities:

                         Common Stock

Item 2(e)           CUSIP Number:

                         003830106

Item 3              Type of Person:

                         (e) WAM is an Investment Adviser registered under
                         section 203 of the Investment Advisers Act of 1940; WAM
                         LTD. is the General Partner of the Investment Adviser;
                         Wanger is the principal stockholder of the General
                         Partner.

                               Page 5 of 8 pages

<PAGE>
 

Item 4         Ownership (at December 31, 1994):
                                            --

                    (a)  Amount owned "beneficially" within the meaning of rule 
                         13d-3:

                         415,000 shares

                    (b)  Percent of class:

                         9.63%

                    (c)  Number of shares as to which such person has:

                              (i)    sole power to vote or to direct the vote:
                                     none
                             (ii)    shared power to vote or to direct the vote:
                                     415,000
                            (iii)    sole power to dispose or to direct the 
                                     disposition of: none
                             (iv)    shared power to dispose or to direct 
                                     disposition of: 415,000


                         WAM serves as investment adviser to Acorn Investment
                         Trust, Series Designated Acorn Fund (the "Trust").
                         Various of WAM's limited partners and employees are
                         also officers and trustees of the Trust, but WAM does
                         not consider the Trust to be controlled by such
                         persons. Although the Trust is not controlled by WAM,
                         pursuant to rule 13d-3(a) the 300,000 shares
                         beneficially owned by the Trust, with respect to which
                         the Trust has delegated to WAM shared voting power and
                         shared dispositive power, are considered to be shares
                         beneficially owned by WAM by reason of such delegated
                         powers. In addition to the shares beneficially owned by
                         the Trust, other clients of WAM may own shares which
                         are not included in the aggregate number of shares
                         reported herein because WAM does not have or share
                         voting or investment power over those shares.


Item 5         Ownership of Five Percent or Less of a Class:

                    Not Applicable


Item 6         Ownership of More than Five Percent on Behalf of Another Person:

                    The shares reported herein have been acquired on behalf of
                    discretionary clients of WAM. Persons other than WAM are
                    entitled to receive all dividends from, and proceeds from
                    the sale of, those shares.

                               Page 6 of 8 pages
<PAGE>
 
Item 7         Identification and Classification of the Subsidiary Which 
               Acquired the Security Being Reported on by the Parent Holding
               Company:

                    Not Applicable

Item 8         Identification and Classification of Members of the Group:

                    Not Applicable

Item 9         Notice of Dissolution of Group:

                    Not Applicable

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 purpose or effect.

                               Page 7 of 8 pages
<PAGE>
                                   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: February 8, 1995

                    The undersigned corporation, on the date above written,
                    agrees and consents to the joint filing on its behalf of
                    this Schedule 13G in connection with its beneficial
                    ownership of the security reported herein.

                                       WANGER ASSET MANAGEMENT, LTD.
                                        for itself and as general partner of
                                        WANGER ASSET MANAGEMENT, L.P.


                                       By: /s/ Robert M. Slotky
                                          -------------------------------------
                                               Robert M. Slotky
                                               Chief Financial Officer


                    The undersigned individual, on the date above written,
                    agrees and consents to the joint filing on his behalf of
                    this Schedule 13G in connection with his beneficial
                    ownership of the security reported herein.

                                       RALPH WANGER


                                       /s/ Ralph Wanger
                                       -----------------------------------------

                               Page 8 of 8 pages

<PAGE>
 
                                                      --------------------------
                                                              OMB APPROVAL
                                                      --------------------------
                                                      OMBA Number:     3235-0145
                                                      Expires:  October 31, 1994
                                                      Estimated average burden
                                                      hours per response...14.90
                                                      --------------------------

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

                                 SCHEDULE 13G

                   Under the Securities Exchange Act of 1934

                          (Amendment No.__________)*


                            Abraxas Petroleum Corp.
- --------------------------------------------------------------------------------
                               (Name of Issuer)

                                 Common Stock
- --------------------------------------------------------------------------------
                        (Title of Class of Securities)


                                   00383010
                        ------------------------------
                                (CUSIP Number)


Check the following box if a fee is being paid with this statement [X]. (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 6 pages

<PAGE>
- -----------------------                                  ---------------------
  CUSIP NO.                             13G                PAGE 2 OF 6 PAGES
- -----------------------                                  ---------------------
 
- ------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1    S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

        Wanger Asset Management, L.P. 36-3820584

- ------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
 2                                                              (a) [_]
        Not Applicable                                          (b) [_]
                                                 
- ------------------------------------------------------------------------------
      SEC USE ONLY
 3
        

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

- ------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     5     
     NUMBER OF              None
 
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6    
                            285,000
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     7     
    REPORTING               None
 
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH          8     
                            285,000 
                  
- ------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
 9    
        285,000

- ------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
10                  
        Not Applicable
 
- ------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
11    
        6.82%  
    
- ------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON*
12
        IA

- ------------------------------------------------------------------------------

                     *SEE INSTRUCTION BEFORE FILLING OUT!

                               Page 2 of 6 pages

<PAGE>
 
- -----------------------                                  ---------------------
  CUSIP NO.  00383010                   13G                PAGE 3 OF 6 PAGES
- -----------------------                                  ---------------------
 
- ------------------------------------------------------------------------------
      NAME OF REPORTING PERSON
 1    S.S. or I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

        Wanger Asset Management, Ltd.

- ------------------------------------------------------------------------------
      CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*
 2                                                              (a) [_]
        Not Applicable                                          (b) [_]
                                                 
- ------------------------------------------------------------------------------
      SEC USE ONLY
 3
        

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

- ------------------------------------------------------------------------------
                          SOLE VOTING POWER
                     5     
     NUMBER OF              None
 
      SHARES       -----------------------------------------------------------
                          SHARED VOTING POWER
   BENEFICIALLY      6    
                            285,000
     OWNED BY
                   -----------------------------------------------------------
       EACH               SOLE DISPOSITIVE POWER
                     7     
    REPORTING               None
 
      PERSON       -----------------------------------------------------------
                          SHARED DISPOSITIVE POWER
       WITH          8     
                            285,000 
                  
- ------------------------------------------------------------------------------
      AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON
 9    
        285,000

- ------------------------------------------------------------------------------
      CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
10                  
        Not Applicable
 
- ------------------------------------------------------------------------------
      PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9
11    
        6.82%  
    
- ------------------------------------------------------------------------------
      TYPE OF REPORTING PERSON*
12
        CO

- ------------------------------------------------------------------------------

                     *SEE INSTRUCTION BEFORE FILLING OUT!

                               Page 3 of 6 pages
<PAGE>
 
Item 1(a)           Name of Issuer:

                         Abraxas Petroleum Corp.    

Item 1(b)           Address of Issuer's Principal Executive Offices:

                         909 N.E. Loop 410, Suite 900
                         San Antonio, Texas 78209

Item 2(a)           Name of Person Filing:

                         Wanger Asset Management, L.P. ("WAM");
                         Wanger Asset Management, Ltd., the general partner of
                         WAM ("WAM LTD.")
                         
Item 2(b)           Address of Principal Business Office:

                         WAM and WAM LTD. and Wanger are both located at
                         227 West Monroe Street, Suite 3000
                         Chicago, Illinois 60606

Item 2(c)           Citizenship:

                         WAM is a Delaware limited partnership.
                         WAM LTD. is a Delaware corporation.
                         
Item 2(d)           Title of Class of Securities:

                         Common Stock

Item 2(e)           CUSIP Number:

                         00383010 

Item 3              Type of Person:

                         (e)  Investment Adviser registered under section 203 of
                               the Investment Advisers Act of 1940
                         
Item 4              Ownership (at December 31, 1993):
                                                 --

                         (a)  Amount owned "beneficially" within the meaning of 
                              rule 13d-3:

                              285,000 shares

                         (b)  Percent of class:

                              6.82%

                                   -4 of 6-

<PAGE>
 

                    (c)  Number of shares as to which such person has:

                             (i)  sole power to vote or to direct the vote: none
                            (ii)  shared power to vote or to direct the vote:
                                  285,000
                           (iii)  sole power to dispose or to direct the
                                  disposition of: none
                            (iv)  shared power to dispose or to direct
                                  disposition of: 285,000

                    WAM serves as investment adviser to Acorn Investment Trust,
                    Series Designated Acorn Fund (the "Trust"). Various of WAM's
                    limited partners and employees are also officers and
                    trustees of the Trust, but WAM does not consider the Trust
                    to be controlled by such persons. Although the Trust is not
                    controlled by WAM, pursuant to rule 13d-3(a) the 215,000
                    shares beneficially owned by the Trust, with respect to
                    which the Trust has delegated to WAM shared voting power and
                    shared dispositive power, are considered to be shares
                    beneficially owned by WAM by reason of such delegated
                    powers. In addition to the shares beneficially owned by the
                    Trust, other clients of WAM may own shares which are not
                    included in the aggregate number of shares reported herein
                    because WAM does not have or share voting or investment
                    power over those shares.

Item 5         Ownership of Five Percent or Less of a Class:

                    Not Applicable

Item 6         Ownership of More than Five Percent on Behalf of Another Person:

                    The shares reported herein have been acquired on behalf of
                    discretionary clients of WAM. Persons other than WAM are
                    entitled to receive all dividends from, and proceeds from
                    the sale of, those shares.

Item 7         Identification and Classification of the Subsidiary Which
               Acquired the Security Being Reported on by the Parent Holding
               Company:

                    Not Applicable

Item 8         Identification and Classification of Members of the Group:

                    Not Applicable

Item 9         Notice of Dissolution of Group:

                    Not Applicable

                                  - 5 of 6 -
<PAGE>
 
Item 10        Certification:

                    By signing below I certify that, to the best of my knowledge
               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 purpose 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: February 10, 1994

                                         WANGER ASSET MANAGEMENT, LTD., 
                                          for itself and as general partner for 
                                          WANGER ASSET MANAGEMENT, L.P.       
                                             

                                         By:/s/Robert M. Slotky
                                            ------------------------------------
                                                Robert M. Slotky
                                                Chief Financial Officer

                                  - 6 of 6 -



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