<PAGE>
                                                                   Exhibit 10.11

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

                           SEABULK INTERNATIONAL, INC.

                                       and

                           the Guarantors named herein

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

                          9 1/2% SENIOR NOTES DUE 2013

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


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


                          SECOND SUPPLEMENTAL INDENTURE
                      AND AMENDMENT -- SUBSIDIARY GUARANTEE

                           DATED AS OF MARCH 22, 2004

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

                       WACHOVIA BANK, NATIONAL ASSOCIATION

                                     Trustee

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



<PAGE>
         This SECOND SUPPLEMENTAL INDENTURE, dated as of March 22, 2004, is
among Seabulk International, Inc., a Delaware corporation (the "Company"), each
of the parties identified under the caption "Guarantors" on the signature page
hereto (the "Guarantors") and Wachovia Bank, National Association, as Trustee.

                                    RECITALS

         WHEREAS, the Company, the initial Guarantors and the Trustee entered
into an Indenture, dated as of August 5, 2003 (the "Indenture"), pursuant to
which the Company has issued $150,000,000 in principal amount of 9 1/2% Senior
Notes due 2013 (the "Notes"); and

         WHEREAS, Section 9.01(g) of the Indenture provides that the Company,
the Guarantors and the Trustee may amend or supplement the Indenture in order to
comply with Section 4.13 or Article 10 thereof, without the consent of the
Holders of the Notes;

         WHEREAS, Seabulk Chemical Carriers, Inc., a Guarantor, has changed its
name to Seabulk Energy Carriers, Inc.;

         WHEREAS, Seabulk Energy Carriers, Inc. has created the following
subsidiaries that are Restricted U.S. Subsidiaries (as defined in the
Indenture): Seabulk Energy Transport, Inc., a Florida corporation, Seabulk Ocean
Transport, Inc., a Florida corporation, and Seabulk Petroleum Transport, Inc., a
Florida corporation, and pursuant to Section 4.13(a) of the Indenture, each of
Seabulk Energy Transport, Inc., Seabulk Ocean Transport, Inc. and Seabulk
Petroleum Transport, Inc. is executing this Second Supplemental Indenture to
provide for its Subsidiary Guarantee (as defined in the Indenture);

         WHEREAS, the Company has created a subsidiary, Seabulk Global Carriers,
Inc., a Liberian corporation, and Seabulk Global Carriers, Inc. has created the
following subsidiaries: Seabulk Global Transport, Inc., a Liberian corporation,
and Seabulk Overseas Transport, Inc., a Liberian corporation, and pursuant to
Section 9.01(g) of the Indenture, each of Seabulk Global Carriers, Inc., Seabulk
Global Transport, Inc. and Seabulk Overseas Transport, Inc. is executing this
Second Supplemental Indenture to provide for its Subsidiary Guarantee; and

         WHEREAS, all acts and things prescribed by the Indenture, by law and by
the Certificate of Incorporation and the Bylaws (or comparable constituent
documents) of the Company, of the Guarantors and of the Trustee necessary to
make this Second Supplemental Indenture a valid instrument legally binding on
the Company, the Guarantors and the Trustee, in accordance with its terms, have
been duly done and performed;

         NOW, THEREFORE, to comply with the provisions of the Indenture and in
consideration of the above premises, the Company, the Guarantors and the Trustee
covenant and agree for the equal and proportionate benefit of the respective
Holders of the Notes as follows:

                                   ARTICLE I

         Section 1.01. This Second Supplemental Indenture is supplemental to the
Indenture and does and shall be deemed to form a part of, and shall be construed
in connection with and as part of, the Indenture for any and all purposes.



<PAGE>

         Section 1.02. This Second Supplemental Indenture shall become effective
immediately upon its execution and delivery by each of the Company, the
Guarantors and the Trustee.

                                   ARTICLE II

         From this date, in accordance with Section 4.13 and by executing this
Second Supplemental Indenture, the Guarantors whose signatures appear below are
subject to the provisions of the Indenture to the extent provided for in Article
10 thereunder.

                                  ARTICLE III

         Section 3.01. Except as specifically modified herein, the Indenture and
the Notes are in all respects ratified and confirmed (mutatis mutandis) and
shall remain in full force and effect in accordance with their terms with all
capitalized terms used herein without definition having the same respective
meanings ascribed to them as in the Indenture.

         Section 3.02. Except as otherwise expressly provided herein, no duties,
responsibilities or liabilities are assumed, or shall be construed to be
assumed, by the Trustee by reason of this Second Supplemental Indenture. This
Second Supplemental Indenture is executed and accepted by the Trustee subject to
all the terms and conditions set forth in the Indenture with the same force and
effect as if those terms and conditions were repeated at length herein and made
applicable to the Trustee with respect hereto.

         Section 3.03. THIS SECOND SUPPLEMENTAL INDENTURE SHALL BE GOVERNED BY,
AND CONSTRUED IN ACCORDANCE WITH, THE LAWS OF THE STATE OF NEW YORK.

         Section 3.04. The parties may sign any number of copies of this Second
Supplemental Indenture. Each signed copy shall be an original, but all of such
executed copies together shall represent the same agreement.

                          [NEXT PAGE IS SIGNATURE PAGE]




                                       2
<PAGE>

         IN WITNESS WHEREOF, the parties hereto have caused this Second
Supplemental Indenture to be duly executed, all as of the date first written
above.

                                 SEABULK INTERNATIONAL, INC.



                                 By: /s/ Vincent J. deSostoa
                                     -------------------------------------------
                                     Name:    Vincent J. deSostoa
                                     Title:   Senior Vice President and
                                              Chief Financial Officer



                                 GUARANTORS

                                 LONE STAR MARINE SERVICES, INC.
                                 SEABULK ARIZONA USA, INC.
                                 SEABULK ENERGY CARRIERS, INC.
                                 SEABULK ENERGY TRANSPORT, INC.
                                 SEABULK GLOBAL CARRIERS, INC.
                                 SEABULK GLOBAL TRANSPORT, INC.
                                 SEABULK MARINE INTERNATIONAL, INC.
                                 SEABULK MARINE SERVICES, INC.
                                 SEABULK OCEAN SYSTEMS CORPORATION
                                 SEABULK OCEAN SYSTEMS HOLDINGS
                                     CORPORATION
                                 SEABULK OCEAN TRANSPORT, INC.
                                 SEABULK OFFSHORE ABU DHABI, INC.
                                 SEABULK OFFSHORE DUBAI, INC.
                                 SEABULK OFFSHORE INTERNATIONAL, INC.
                                 SEABULK OFFSHORE OPERATORS, INC.
                                 SEABULK OPERATORS, INC.
                                 SEABULK OVERSEAS TRANSPORT, INC.
                                 SEABULK PETROLEUM TRANSPORT, INC.
                                 SEABULK TANKERS, INC.
                                 SEABULK TOWING, INC.
                                 SEABULK TOWING SERVICES, INC.
                                 SEABULK TRANSMARINE II, INC.
                                 SEABULK TRANSPORT, INC.



                                 By: /s/ Vincent J. deSostoa
                                     -------------------------------------------
                                     Name:    Vincent J. deSostoa
                                     Title:   Senior Vice President




                                       3
<PAGE>


                                 SEABULK TANKERS, LTD.

                                 By:      SEABULK TRANSPORT, INC.,
                                          General Partner



                                 By: /s/ Vincent J. deSostoa
                                     -------------------------------------------
                                     Name:    Vincent J. deSostoa
                                     Title:   Senior Vice President



                                 SEABULK AMERICA PARTNERSHP, LTD.
                                 SEABULK OFFSHORE, LTD.
                                 SEABULK TRANSMARINE PARTNERSHIP, LTD.

                                 By:      SEABULK TANKERS, LTD.,
                                          General Partner

                                 By:      SEABULK TRANSPORT, INC.,
                                          General Partner



                                 By: /s/ Vincent J. deSostoa
                                     -------------------------------------------
                                     Name:    Vincent J. deSostoa
                                     Title:   Senior Vice President



                                 WACHOVIA BANK, NATIONAL ASSOCIATION, as Trustee



                                 By: /s/ John Speichert
                                     -------------------------------------------
                                     Name:    John Speichert
                                     Title:   Vice President





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