EXHIBIT 4.2


                                    EXHIBIT B

THE SECURITIES REPRESENTED BY THIS CERTIFICATE HAVE NOT BEEN REGISTERED UNDER
THE SECURITIES ACT OF 1933, AS AMENDED, OR ANY APPLICABLE STATE SECURITIES LAWS,
AND MAY NOT BE SOLD OR TRANSFERRED IN THE ABSENCE OF SUCH REGISTRATION OR AN
EXEMPTION THEREFROM. SUCH SECURITIES ARE SUBJECT TO THE RESTRICTIONS AND
PRIVILEGES SPECIFIED IN THIS WARRANT CERTIFICATE AND IN A NOTE AND WARRANT
PURCHASE AGREEMENT, DATED AS OF SEPTEMBER 8, 2004, BETWEEN BLUE DOLPHIN ENERGY
COMPANY AND THE INITIAL HOLDER OF SECURITIES NAMED THEREIN, A COPY OF WHICH IS
ON FILE WITH THE SECRETARY OF BLUE DOLPHIN ENERGY COMPANY AND WILL BE FURNISHED
WITHOUT CHARGE TO THE HOLDER HEREOF UPON WRITTEN REQUEST, AND THE HOLDER OF THIS
CERTIFICATE AGREES TO BE BOUND THEREBY.

                               WARRANT CERTIFICATE

NUMBER OF WARRANTS: _________                                   WARRANT NO. ____

      This Warrant certificate ("WARRANT CERTIFICATE") certifies that, for value
received, _____________________________________ is the registered holder of the
number of warrants (the "WARRANTS") set forth above. Each Warrant entitles the
holder thereof, at any time or from time to time during the Exercise Period, to
purchase from the Company one fully paid and nonassessable share of Common Stock
at the Exercise Price, subject to adjustment as provided herein. Initially
capitalized terms used but not defined herein shall have the meanings ascribed
to them in the Note and Warrant Purchase Agreement.

      "COMMON STOCK" means the common stock, $0.01 par value per share, of the
Company and such other class of securities as shall then represent the common
equity of the Company.

      "COMPANY" means Blue Dolphin Energy Company, a Delaware corporation.

      "EXERCISE PERIOD" means the period of time between the Issuance Date, as
defined herein and 5:00 p.m. (Houston, Texas time) on the Expiration Date.

      "EXERCISE PRICE," subject in all circumstances to adjustment in accordance
with Section 2 means $0.25 per share.

      "EXPIRATION DATE" means the fifth anniversary of the Issuance Date.

      "ISSUANCE DATE" means ___________________.

      "PERSON" means any individual, corporation, company, partnership, joint
venture, trust, limited liability company, unincorporated organization or
government or any agency, instrumentality or political subdivision thereof, or
any other form of entity.

                                       1


      "PRICE" means (a) the average of the "high" and "low" prices for the
Common Stock as reported in The Wall Street Journal's listing for such day
(corrected for obvious typographical errors), or if such shares are not reported
in such listing, the average of the reported sales prices on the largest
national securities exchange (based on the aggregate dollar value of securities
listed) on which such shares are listed or traded; (b) if the Common Stock is
not then listed or admitted to trading on any national securities exchange, but
is designated as a Small Cap Market system security, the last trading price of
the Common Stock on such date; or (c) if such shares are not listed or traded on
any national securities exchange or the Nasdaq Small Cap Market, then the
average of the reported sales prices for such shares in the over-the-counter
market, as reported on the National Association of Securities Dealers Automated
Quotations System, or, if such prices shall not be reported thereon, the average
of the closing bid and asked prices so reported, or, if such prices shall not be
reported, then the average of the closing bid and asked prices reported by the
National Quotations Bureau Incorporated. The "Average" Price per share for any
period shall be determined by dividing the sum of the Prices determined for the
individual trading days in such period by the number of trading days in such
period.

      "NOTE AND WARRANT PURCHASE AGREEMENT" means the Note and Warrant Purchase
Agreement, dated as of September 8, 2004, between the Company and the Investors.

      SECTION 1.  EXERCISE OF WARRANTS.

            (a)   The Warrants may be exercised in whole or in part, at any time
      or from time to time, during the Exercise Period, by presentation and
      surrender to the Company at its address set forth in SECTION 8 of this
      Warrant Certificate (or the delivery of a customary affidavit of loss with
      indemnity) with the Election To Exercise, attached hereto as EXHIBIT A
      duly completed and executed, and (i) payment in full of the Exercise
      Price, for the number of Warrants being exercised by wire transfer in
      immediately available funds, bank draft or cashier's check, or (ii)
      without payment of any additional consideration through a "cashless" or
      "net-issue" exercise of each such Warrant ("Cashless Exercise"); in a
      Cashless Exercise, the holder shall exchange each Warrant subject to a
      Cashless Exercise for that number of Warrant Shares determined by
      multiplying the number of Warrant Shares issuable hereunder by a fraction,
      the numerator of which shall be the difference between (x) the Price (for
      the trading day preceding such presentation and surrender), and (y) the
      Exercise Price for each such Warrant, and the denominator of which shall
      be the Price (for the trading day preceding such presentation and
      surrender); and the Election to Exercise shall set forth the calculation
      upon which the Cashless Exercise is based, or (iii) a combination of (i)
      and (ii) above. If the holder of this Warrant Certificate at any time
      exercises less than all the Warrants, the Company shall issue to such a
      holder a warrant certificate identical in form to this Warrant
      Certificate, but evidencing a number of Warrants equal to the number of
      Warrants originally represented by this Warrant Certificate less the
      number of Warrants previously exercised. Likewise, upon the presentation
      and surrender of this Warrant Certificate to the Company at its address
      set forth in SECTION 8 and at the request of the holder, the Company will,
      without expense, at the option of the holder, issue to the holder in
      substitution for this Warrant Certificate one or more warrant certificates
      in identical form and for an aggregate number of Warrants equal to the
      number of Warrants evidenced by this Warrant Certificate.

                                       2


            (b)   To the extent that the Warrants have not been exercised at or
      prior to the Expiration Date, such Warrants shall expire and the rights of
      the holder shall become void and of no effect.

            (c)   Upon surrender of this Warrant Certificate in conformity with
      the foregoing provisions, the Company shall transfer to the holder of this
      Warrant Certificate appropriate evidence of ownership of the shares of
      Common Stock or other securities or property (including any money) to
      which the holder is entitled, registered or otherwise placed in, or
      payable to the order of, the name or names of the holder or such
      transferee as may be directed in writing by the holder, and shall deliver
      such evidence of ownership and any other securities or property (including
      any money) to the Person or Persons entitled to receive the same, together
      with an amount in cash in lieu of any fraction of a share.

            (d)   The Company shall not be required to issue a fractional share
      of Common Stock upon the exercise of Warrants. As to any fraction of a
      share which the Warrant holder would otherwise be entitled to purchase
      upon such exercise, the Company may pay a cash adjustment in respect of
      such fraction in an amount equal to the same fraction of the Price per
      share of Common Stock on the date of exercise.

      SECTION 2.  ANTIDILUTION ADJUSTMENTS. The shares of Common Stock
purchasable on exercise of the Warrants are shares of Common Stock as
constituted as of the Issuance Date. The number and kind of securities
purchasable upon the exercise of the Warrants, and the Exercise Price, shall be
subject to adjustment from time to time upon the happening of certain events, as
follows:

            (a)   Mergers, Consolidations and Reclassifications. In case of any
      reclassification or change of outstanding securities issuable upon
      exercise of the Warrants at any time after the Issuance Date (other than a
      change in par value, or from par value to no par value, or from no par
      value to par value or as a result of a subdivision or combination to which
      SECTION 2(b) applies), or in case of any consolidation or merger of the
      Company with or into any entity or other person (other than a merger with
      another entity or other person in which the Company is the surviving
      corporation and which does not result in any reclassification or change in
      the securities issuable upon exercise of this Warrant Certificate), the
      holder of the Warrants shall have, and the Company, or such successor
      corporation or other entity, shall covenant in the constituent documents
      effecting any of the foregoing transactions that such holder does have the
      right to obtain, upon the exercise of the Warrants, in lieu of each share
      of Common Stock, other securities, money or other property theretofore
      issuable upon exercise of a Warrant, the kind and amount of shares of
      stock, other securities, money or other property receivable upon such
      reclassification, change, consolidation or merger by a holder of the
      shares of Common Stock, other securities, money or other property issuable
      upon exercise of a Warrant if the Warrants had been exercised immediately
      prior to such reclassification, change, consolidation or merger. The
      constituent documents effecting any such reclassification, change,
      consolidation or merger shall provide for adjustments, which shall be as
      nearly equivalent as may be practicable to the adjustments provided in
      this
                                       3


SECTION 2(a). The provisions of this SECTION 2(a) shall similarly apply to
successive reclassifications, changes, consolidations or mergers.

            (b)   Subdivisions and Combinations. If the Company, at any time
      after the Issuance Date, shall subdivide its shares of Common Stock into a
      greater number of shares, the Exercise Price in effect immediately prior
      to such subdivision shall be proportionately reduced, and the number of
      shares of Common Stock purchasable upon exercise of the Warrants shall be
      proportionately increased, as at the effective date of such subdivision,
      or if the Company shall take a record of holders of its Common Stock for
      such purpose, as at such record date, whichever is earlier. If the
      Company, at any time after the Issuance Date, shall combine its shares of
      Common Stock into a smaller number of shares, the Exercise Price in effect
      immediately prior to such combination shall be proportionately increased,
      and the number of shares of Common Stock purchasable upon exercise of the
      Warrants shall be proportionately reduced, as at the effective date of
      such combination, or if the Company shall take a record of holders of its
      Common Stock for purposes of such combination, as at such record date,
      whichever is earlier.

            (c)   Dividends and Distributions. If the Company at any time after
      the Issuance Date shall declare a dividend on its Common Stock payable in
      stock or other securities of the Company to the holders of its Common
      Stock, the holder of this Warrant Certificate shall, without additional
      cost, be entitled to receive upon any exercise of a Warrant, in addition
      to the Common Stock to which such holder would otherwise be entitled upon
      such exercise, the number of shares of stock or other securities which
      such holder would have been entitled to receive if he had been a holder
      immediately prior to the record date for such dividend (or, if no record
      date shall have been established, the payment date for such dividend) of
      the number of shares of Common Stock purchasable on exercise of such
      Warrant immediately prior to such record date or payment date, as the case
      may be.

            (d)   Adjustments of Exercise Price. This SECTION 2(d) shall govern
      adjustments to the Exercise Price for the transactions described herein.

                  (i)   If (x) the Company at any time after the Issuance Date
            and prior to the expiration of eighteen months after the Issuance
            Date shall issue any additional shares of Common Stock (otherwise
            than as provided in subsections (a) through (c) of SECTION 2;
            pursuant to any Employee Benefit Plan (defined below); or pursuant
            to any security or evidence of indebtedness which is convertible
            into or exchangeable for Common Stock ("CONVERTIBLE SECURITY") or
            any warrant, option or other right to subscribe for or purchase
            common stock or any Convertible Security, other than pursuant to
            Employee Benefit Plans, (together with Convertible Securities
            hereinafter referred to as "COMMON STOCK EQUIVALENT") outstanding as
            of the Issuance Date) or upon the issuance of any such Common Stock,
            any adjustments shall previously have been made pursuant to SECTION
            2(d)(ii), and (y) the New Stock Issuance Price (defined below) of
            such additional shares is less than the Exercise Price then in
            effect, then the Exercise Price upon each such issuance shall be
            adjusted to the New Stock Issuance Price of such additional shares.
            The "New Stock Issuance Price" shall be determined by

                                       4


            dividing the total amount of consideration received by the Company
            for such issue or sale by the number of shares of Common Stock
            issued or sold.

                  (ii)  If the Company at any time after the Issuance Date and
            prior to the expiration of eighteen months after the Issuance Date,
            issues any Common Stock Equivalent (otherwise than as provided in
            subsections (a) through (c) of SECTION 2; or pursuant to any Common
            Stock Equivalent outstanding as of the Issuance Date) and the New
            CSE Exercise Price (defined below) of such Common Stock Equivalents
            is less than the Exercise Price then in effect, then the Exercise
            Price upon each such issuance shall be adjusted to the New CSE
            Exercise Price of such Common Stock Equivalents. The "New CSE
            Exercise Price" shall be determined by dividing (x) the total
            amount, if any, received or receivable by the Company as
            consideration for the issuance of such Common Stock Equivalents,
            plus the minimum aggregate amount of additional consideration
            payable to the Company upon the exercise, conversion or exchange of
            such Common Stock Equivalents, plus, in the case of any such Common
            Stock Equivalents which relate to Convertible Securities, the
            minimum aggregate amount of additional consideration, if any,
            payable to the Company upon the conversion or exchange of such
            Convertible Securities, by (y) the total maximum number of shares of
            Common Stock issuable upon the exercise, conversion or exchange of
            all such Common Stock Equivalents.

      No adjustments of the Exercise Price shall be made under this SECTION 2(d)
      upon the issuance of any additional shares of Common Stock that (w) are
      issued pursuant to any grant or award made prior to the Issuance Date
      under any thrift plan, stock purchase plan, stock bonus plan, stock option
      plan, employee stock ownership plan, incentive or profit sharing
      arrangement or other benefit or compensation plan for the benefit of the
      Company's officers, directors and/or employees ("EMPLOYEE BENEFIT PLANS")
      that has been approved by the Board of Directors of the Company or its
      compensation committee and that otherwise would cause an adjustment under
      this SECTION 2(d); (x) are issued pursuant to any grant or award made on
      or after the Issuance Date under any Employee Benefit Plan if the
      "Exercise Price" of any such issuance is not less than the lesser of the
      Exercise Price as determined above and the "Fair Market Value," as defined
      under the applicable Employee Benefit Plan, on the date of Board or
      compensation committee authorization; (y) are issued pursuant to any
      Common Stock Equivalent (as hereinafter defined) if such Common Stock
      Equivalent was issued prior to this Warrant Certificate; or (z) are issued
      pursuant to a public offering by the Company.

            (e)   Miscellaneous. The following provisions shall be applicable to
      the making of adjustments in the Exercise Price hereinbefore provided in
      this SECTION 2.

                  (i)   The consideration received by the Company shall be
            deemed to be the following: (x) to the extent that any additional
            shares of Common Stock or any Common Stock Equivalent shall be
            issued for cash consideration, the consideration received by the
            Company therefor, or, if such additional shares of Common

                                       5


            Stock or Common Stock Equivalent are offered by the Company for
            subscription, the subscription price, or, if such additional shares
            of Common Stock or Common Stock Equivalent are sold to underwriters
            or dealers for public offering without a subscription offering, the
            public offering price, in any such case excluding any amounts paid
            or receivable for accrued interest or accrued dividends and without
            deduction of any compensation, discounts, commissions or expenses
            paid or incurred by the Company for and in the underwriting of, or
            otherwise in connection with, the issue thereof; and (y) to the
            extent that such issuance shall be for a consideration other than
            cash, then, except as herein otherwise expressly provided, the fair
            value of such consideration at the time of such issuance as
            determined in good faith by the Board of Directors, as evidenced by
            a certified resolution of the Board of Directors delivered to the
            holder of this Warrant Certificate setting forth such determination.
            The consideration for any additional shares of Common Stock issuable
            pursuant to any Common Stock Equivalent shall be the consideration
            received by the Company for issuing such Common Stock Equivalent,
            plus the additional consideration payable to the Company upon the
            exercise, conversion or exchange of such Common Stock Equivalent. In
            case of the issuance at any time of any additional shares of Common
            Stock or Common Stock Equivalent in payment or satisfaction of any
            dividend upon any class of stock other than Common Stock, the
            Company shall be deemed to have received for such additional shares
            of Common Stock or Common Stock Equivalent (which shall not be
            deemed to be a dividend payable in, or other distribution of, Common
            Stock under SECTION 2(c)consideration equal to the amount of such
            dividend so paid or satisfied. In the event additional shares of
            Common Stock or Common Stock Equivalents are issued together with
            other shares or securities or other assets of the Company or its
            subsidiaries for consideration which covers both, the consideration
            for such shares of Common Stock and Common Stock Equivalents shall
            be computed based on the respective portions of such consideration
            so received, computed as provided in this SECTION 2(e)(i) as
            determined and allocated in good faith by the Board of Directors of
            the Company.

                  (ii)  Upon the expiration of the right to convert, exchange or
            exercise any Common Stock Equivalent the issuance of which effected
            an adjustment in the Exercise Price, if any such Common Stock
            Equivalent shall not have been converted, exercised or exchanged,
            the number of shares of Common Stock deemed to be issued and
            outstanding because they were issuable upon conversion, exchange or
            exercise of any such Common Stock Equivalent shall no longer be
            computed as set forth above, and the Exercise Price shall forthwith
            be readjusted and thereafter be the price which it would have been
            (but reflecting any other adjustments in the Exercise Price made
            pursuant to the provisions of SECTION 2(d) after the issuance of
            such Common Stock Equivalent) had the adjustment of the Exercise
            Price made upon the issuance or sale of such Common Stock Equivalent
            been made on the basis of the issuance only of the number of
            additional shares of Common Stock actually issued upon exercise,
            conversion or exchange of such Common Stock Equivalent and thereupon
            only the number of additional shares of Common Stock actually so
            issued shall be deemed to have been issued and only the
            consideration actually received by the Company (computed as in this
            SECTION 2(e)(i)) shall be deemed to have been received by the
            Company.

                                       6


                  (iii) The number of shares of Common Stock at any time
            outstanding shall not include any shares thereof then directly or
            indirectly owned or held by or for the account of the Company or its
            wholly owned subsidiaries.

                  (iv)  Upon each adjustment of the Exercise Price as a result
            of the calculations made in SECTION 2(d), hereof, this Warrant shall
            thereafter evidence the right to purchase, at the adjusted Exercise
            Price, the number of shares of Common Stock obtained by (x)
            multiplying the number of shares covered by this Warrant immediately
            prior to such adjustment of the number of shares by the Exercise
            Price in effect immediately prior to such adjustment of the Exercise
            Price, and (y) dividing the product so obtained by the Exercise
            Price in effect immediately after such adjustment of the Exercise
            Price.

                  (v)   For the purpose of this SECTION 2 the term "shares of
            Common Stock" shall mean shares of (x) the class of stock designated
            as the Common Stock at the date hereof, or (y) any other class of
            stock resulting from successive changes or reclassifications of such
            shares consisting solely of changes in par value, or from par value
            to no par value, or from no par value to par value. If at any time,
            because of an adjustment pursuant to SECTION 2(a), the Warrants
            shall entitle the holders to purchase any securities other than
            shares of Common Stock, thereafter the number of such other
            securities so purchasable upon exercise of each Warrant and the
            Exercise Price of such securities shall be subject to adjustment
            from time to time in a manner and on terms as nearly equivalent as
            practicable to the provisions with respect to the Common Stock
            contained in this SECTION 2.

            (f)   Calculation of Exercise Price. The Exercise Price in effect
      from time to time shall be calculated to four decimal places and rounded
      to the nearest thousandth.

            (g)   NASDAQ Matters. Notwithstanding anything to the contrary
      herein, any adjustment to the Exercise Price that would require
      stockholder approval pursuant to the NASDAQ Market Rules shall be subject
      to the Company's obtaining such requisite approval.

      SECTION 3.  NOTICE OF ADJUSTMENTS. Whenever the Exercise Price or the
number of shares of Common Stock is required to be adjusted as provided in
SECTION 2, the Company shall forthwith compute the adjusted Exercise Price or
the number of shares of Common Stock issuable and shall prepare and mail to the
holder hereof a certificate setting forth such adjusted Exercise Price or such
number of shares of Common Stock, showing in reasonable detail the facts upon
which the adjustment is based.

      SECTION 4.  NOTICES TO WARRANT HOLDERS. In the event:

            (a)   the Company authorizes any consolidation or merger to which
      the Company is a party and for which approval of any stockholders of the
      Company is required, or the conveyance or sale of all or substantially all
      of the assets of the Company, or any reclassification or change of the
      Common Stock or other securities

                                       7


      issuable upon exercise of the Warrants (other than a change in par value,
      or from par value to no par value, or from no par value to par value or as
      result of a subdivision or combination), or a tender offer or exchange
      offer for shares of Common Stock (or other securities issuable upon the
      exercise of the Warrants); or

            (b)   the Company declares any dividend (or any other distribution)
      on the Common Stock or any other class of its capital stock; or

            (c)   the Company authorizes the granting to the holders of Common
      Stock or any other class of its capital stock of rights or warrants to
      subscribe for or purchase any shares of any class or series of capital
      stock or any other securities convertible into or exchangeable for shares
      of stock; or

            (d)   of the voluntary or involuntary dissolution, liquidation or
      winding up of the Company; then the Company shall cause to be sent to the
      holder hereof, at least 30 days prior to the applicable record date
      hereinafter specified, or promptly in the case of events for which there
      is no record date, a written notice stating (x) the date for the
      determination of the holders of record of shares of Common Stock (or other
      securities issuable upon the exercise of the Warrants) entitled to receive
      any such dividends or other distribution, (y) the initial expiration date
      set forth in any tender offer or exchange offer for shares of Common Stock
      (or other securities issuable upon the exercise of the Warrants), or (z)
      the date on which any of the events specified in subsections (a)-(d) is
      expected to become effective or consummated, and the date as of which it
      is expected that holders of record of shares of Common Stock (or other
      securities issuable upon the exercise of the Warrants) shall be entitled
      to exchange such shares for securities or other property, if any,
      deliverable upon any such event. Failure to give such notice or any defect
      therein shall not affect the legality or validity of any such event, or
      the vote upon any such action.

      SECTION 5.  REPORTS TO WARRANT HOLDERS. The Company will cause to be
delivered, by first-class mail, postage prepaid, to holder at such holder's
address appearing hereon, or such other address as the holder shall specify, a
copy of any reports delivered by the Company to the holders of Common Stock.

      SECTION 6.  COVENANTS OF THE COMPANY. The Company covenants and agrees
that:

            (a)   Until the Expiration Date, the Company shall at all times
      reserve and keep available, out of the aggregate of its authorized but
      unissued Common Stock (and other securities), for the purpose of enabling
      it to satisfy any obligation to issue shares of Common Stock (and other
      securities) upon the exercise of the Warrants, the number of shares of
      Common Stock (and other securities) issuable upon the exercise of such
      Warrants.

            (b)   The Company shall pay all expenses, taxes and other charges
      payable in connection with the preparation, issuance and delivery of new
      warrant certificates on transfer of the Warrants.

                                        8


            (c)   All Common Stock (and other securities) which may be issued
      upon exercise of the Warrants shall upon issuance be validly issued, fully
      paid, non-assessable and free from all preemptive rights and all taxes,
      liens and charges with respect to the issuance thereof, and will not be
      subject to any restrictions on voting or transfer thereof except as set
      forth in the Note and Warrant Purchase Agreement, any stockholders
      agreement and except for restrictions arising under state or federal
      securities laws.

            (d)   All original issue taxes payable in respect of the issuance of
      shares of Common Stock to the registered holder hereof upon the exercise
      of the Warrants shall be borne by the Company; provided, however, that the
      Company shall not be required to pay any tax or charge imposed in
      connection with any transfer involved in the issuance of any certificates
      representing shares of Common Stock (and other securities) in any name
      other than that of the registered holder hereof, and in such case the
      Company shall not be required to issue or deliver any certificate
      representing shares of Common Stock (and other securities) until such tax
      or other charge has been paid or it has been established to the Company's
      satisfaction that no such tax or charge is due.

            (e)   As soon as practicable after the receipt from the holder of
      this Warrant Certificate of notice of the intent to exercise of a number
      of warrants sufficient to require a filing under the Hart Scott-Rodino
      Antitrust Improvements Act of 1976 and the rules, regulations and formal
      interpretations thereunder, as amended from time to time (the "HSR ACT")
      (and after the receipt, if applicable, of the notice referred to in Rule
      803.5 of the HSR Act), but in any event no later than the 15 Business Days
      after receipt of such notice(s), the Company will (i) if required by the
      HSR Act, prepare and file with Antitrust Division of the Department of
      Justice (the "DOJ") and the Federal Trade Commission (the "FTC") the
      Notification and Report Form (accompanied by all documentary attachments
      contemplated thereby) required by the HSR ACT, (ii) upon request of the
      holder, request early termination of the waiting period imposed by the HSR
      Act, and (iii) coordinate and cooperate with the holder in responding to
      formal and informal requests for additional information and documentary
      material from the DOJ and the FTC in connection with such filing.
      Notwithstanding the foregoing, if the holder is required to file with the
      DOJ and FTC the Notification and Report Form solely as a result of its
      holding and/or purchasing shares of Common Stock issued pursuant to this
      Warrant (with no regard to any other securities held by such holder or its
      affiliates) and the holder certifies such fact to the Company in writing,
      the Company agrees to promptly reimburse the holder for all fees and
      expenses for the preparation and filing of such form, including all legal
      expenses and filing fees.

            (f)   The Company will not change the par value of the Common Stock
      from par value $0.01 per share to any higher par value which exceeds the
      Exercise Price then in effect, and will reduce the par value of the Common
      Stock upon any event described in SECTION 2 that would, but for this
      provision, reduce the Exercise Price below the par value of the Common
      Stock.

      SECTION 7. NO RIGHTS AS STOCKHOLDER. The holder of the Warrants shall not,
by virtue of holding such Warrants, be entitled to any rights of a stockholder
of the Company either

                                       9


at law or in equity, and the rights of the holder of the Warrants are limited to
those expressed herein.

      SECTION 8.  NOTICES. All notices, requests, demands, and other
communications required or permitted to be given or made hereunder by any party
hereto shall be in writing and shall be deemed to have been duly given or made
if (i) delivered personally, (ii) sent by prepaid overnight courier service, or
(iii) sent by telecopy or facsimile transmission, answer back requested, to the
parties at the following addresses (or at such other addresses as shall be
specified by the parties by like notice):

      if to the holder, to such holder at:

            ____________________________________
            ____________________________________
            ____________________________________
            ____________________________________

      with a copy to counsel to Western Gulf Pipeline Partners, LP:

            Gardere Wynne Sewell LLP
            1000 Louisiana, Suite 3400
            Houston, Texas 77002
            Attention: N.L. Stevens III
            Telefax: 713-276-5807

      and, if to the Company:

            Blue Dolphin Energy Company
            801 Travis, Suite 2100
            Houston, Texas  77002
            Attention: Chief Executive Officer
            Telefax: 713-227-7626

Such notices, requests, demands, and other communications shall be effective (i)
if delivered personally or sent by courier service, upon actual receipt by the
intended recipient, or (ii) if sent by telecopy or facsimile transmission, when
the answer back is received.

      SECTION 9.  GOVERNING LAW. This Warrant Certificate shall be governed by
and construed in accordance with the laws of the State of Texas without regard
to principles of conflict of laws.

      SECTION 10. LOST, STOLEN, MUTILATED OR DESTROYED WARRANT CERTIFICATES.
Upon receipt by the Company of evidence reasonably satisfactory to it of the
ownership of and the loss, theft, destruction or mutilation of any Warrant
Certificate, and, in the case of loss, theft or destruction, receipt by the
Company of such bond or indemnification as the Company may reasonably require,
and, in the case of mutilation, upon surrender and cancellation of the Warrant
Certificate, then, in the absence of notice to the Company that such Warrant
Certificate has been

                                       10


acquired by a bona fide purchaser, the Company shall execute and deliver, in
exchange for or in lieu of the lost, stolen, destroyed or mutilated Warrant
Certificate, a substitute Warrant Certificate of the same tenor and evidencing a
like number of Warrants.

      SECTION 11. TRANSFER. Subject to SECTION 12 and the Note and Warrant
Purchase Agreement, transfer of Warrants, in whole or in part, shall be
registered on the books of the Company to be maintained for such purposes, upon
surrender of the Note and Warrant Certificate representing such Warrants at the
principal office of the Company referred to in SECTION 8 together with a written
assignment substantially in the form of EXHIBIT B to this Warrant Certificate
and a written agreement, in form reasonably satisfactory to the Company, setting
forth the new Warrant holder's agreement to be bound by all of the terms of this
Warrant Certificate (including without limitation SECTION 12) and Section 5.5 of
the Note and Warrant Purchase Agreement, each duly executed by the holder, and
funds sufficient to pay any transfer taxes payable by such holder upon the
making of such transfer. Upon such surrender and, if required, such payment, the
Company shall execute and deliver a new Warrant Certificate or Warrant
Certificates in the name of the assignee or assignees and in the denomination
specified in such instrument of assignment, and shall issue to the assignor a
new Warrant Certificate or Warrant Certificates evidencing the portion of the
old Warrant Certificate not so assigned, and the old Warrant Certificate shall
promptly be canceled.

      SECTION 12. RESTRICTIONS ON TRANSFERABILITY. The Warrant Certificate
represents Warrants referred to in the Note and Warrant Purchase Agreement. Said
Note and Warrant Purchase Agreement is hereby incorporated by reference in and
made a part of this instrument and is hereby referred to for a description of
certain limitations of rights, obligations, duties and immunities thereunder of
the Company and the holders, and in the event of any conflict between the terms
of this Warrant Certificate and the provisions of the Note and Warrant Purchase
Agreement, the provisions of the Note and Warrant Purchase Agreement shall
control.

      IN WITNESS WHEREOF, the Company has caused this Warrant Certificate to be
executed as of _____________, 2004, by the undersigned, thereunto duly
authorized.

                                     BLUE DOLPHIN ENERGY COMPANY

                                     By: _______________________________________
                                     Name: Ivar Siem
                                     Title: Chairman and Chief Executive Officer

                                       11


                                    EXHIBIT A

                              ELECTION TO EXERCISE

      [To be executed on exercise of the Warrant evidenced by this Warrant
                      Certificate pursuant to Section 1(a)]

TO:   Blue Dolphin Energy Company

      The undersigned, the holder of the Warrants evidenced by the attached
Warrant Certificate, hereby irrevocably elects to exercise __________________ of
such Warrants, and herewith:

[ ]   Makes a payment of $_____________ representing the aggregate Exercise
      Price thereof. The Exercise Price is being paid by [WIRE TRANSFER IN
      IMMEDIATELY AVAILABLE FUNDS, BANK DRAFT OR CASHIER'S CHECK].

[ ]   Elects to exercise such Warrants through a Cashless Exercise pursuant to
      Section 1 of the Warrant Certificate, and the calculation upon which such
      Cashless Exercise is based is as follows:

[ ]   Makes a payment of $_____________ by [WIRE TRANSFER IN IMMEDIATELY
      AVAILABLE FUNDS, BANK DRAFT OR CASHIER'S CHECK] representing partial
      payment of the aggregate Exercise Price thereof, and elects to exercise
      the balance of such Warrants through a Cashless Exercise pursuant to
      Section 1 of the Warrant Certificate, and the calculation upon which such
      Cashless Exercise is based is as follows:

and requests that the certificate representing the securities issuable hereunder
be issued in the name of _____________________________ and delivered to
___________________________, whose address is .

Dated:______________________

                                       Name of Registered Holder:_______________
                                       Signature:_______________________________
                                       Title:___________________________________
                                       Address:_________________________________

      Notice: The above signature(s) must correspond with the name as written on
the face of the Warrant Certificate in every detail, without alteration or
enlargement or any change whatsoever.

                                       12


                                    EXHIBIT B

                                 ASSIGNMENT FORM

FOR VALUE RECEIVED the undersigned registered owner of the attached Warrant
Certificate hereby sells, assigns and transfers unto the assignee named below
all of the rights of the undersigned under this Warrant Certificate, with
respect to the number of shares of Common Stock set forth below:

Name and Address of Assignee:______________________________

No. of Shares of Common Stock______________________________

and does hereby irrevocably constitute and appoint _______________________
attorney-in-fact to register such transfer on the books of Blue Dolphin Energy
Company maintained for that purpose, with full power of substitution in the
premises.

Dated:______________________________________

Name:_______________________________________

Signature:__________________________________

Witness:____________________________________

The assignee named above hereby agrees to purchase and take the attached Warrant
Certificate pursuant to and in accordance with the terms and conditions of the
Warrant Certificate and Section 5.5 of the Warrant Purchase Agreement, dated as
of _______________, 2004, between Blue Dolphin Energy Company and the initial
holder named therein and agrees to be bound thereby.

Dated:______________________________________

Name:_______________________________________

Signature:__________________________________

                                       13