EXHIBIT 24
                                                               Power of Attorney

                                POWER OF ATTORNEY

      Know all by these presents, that the undersigned hereby constitutes and
appoints each of Andrea Brady, C. Mark Brannum, Matthew Ciardiello and Wesson
Liversage, or any of them signing or otherwise acting singly, and with full
power of substitution, the undersigned's true and lawful attorney-in-fact to:

      (1)   prepare, execute in the undersigned's name and on the undersigned's
            behalf, and submit to the U.S. Securities and Exchange Commission
            (the "SEC") a Form ID, including amendments thereto, and any other
            documents necessary or appropriate to obtain codes, passwords, and
            passphrases enabling the undersigned to make electronic filings with
            the SEC of reports required by Section 16(a) of the Securities
            Exchange Act of 1934 or any rule or regulation of the SEC;

      (2)   execute for and on behalf of the undersigned, in the undersigned's
            capacity as an officer and/or director of Magellan Petroleum
            Corporation (the "Company"), Forms 3, 4, and 5 in accordance with
            Section 16(a) of the Securities Exchange Act of 1934 and the rules
            thereunder;

      (3)   execute for and on behalf of the undersigned, in connection with
            proposed sales by the undersigned pursuant to Rule 144 under the
            Securities Act of 1933 of securities issued by the Company, notices
            on Form 144 in accordance with Rule 144 under the Securities Act of
            1933;

      (4)   do and perform any and all acts for and on behalf of the undersigned
            which may be necessary or desirable to complete and execute any such
            Form 3, 4, 5, or Form 144, complete and execute any amendment or
            amendments thereto, and timely file such form with the SEC and any
            securities exchange or similar authority; and

      (5)   take any other action of any type whatsoever in connection with the
            foregoing which, in the opinion of such attorney-in-fact, may be of
            benefit to, in the best interest of, or legally required by, the
            undersigned, it being understood that the documents executed by such
            attorney-in-fact on behalf of the undersigned pursuant to this Power
            of Attorney shall be in such form and shall contain such terms and
            conditions as such attorney-in-fact may approve in such
            attorney-in-fact's discretion.

      The undersigned hereby grants to each such attorney-in-fact full power and
authority to do and perform any and every act and thing whatsoever requisite,
necessary, or proper to be done in the exercise of any of the rights and powers
herein granted, as fully to all intents and purposes as the undersigned might or
could do if personally present, with full power of substitution or revocation,
hereby ratifying and confirming all that such attorney-in-fact, or such
attorney-in-fact's substitute or substitutes, shall lawfully do or cause to be
done by virtue of this power of attorney and the rights and powers herein
granted. The undersigned acknowledges that the foregoing attorneys-in-fact, in
serving in such capacity at the request of the undersigned, are not assuming,
nor is the Company assuming, any of the undersigned's responsibilities to comply
with Section 16 of the Securities Exchange Act of 1934 or Rule 144 under the
Securities Act of 1933.

      This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4, 5, and Form 144 with
respect to the undersigned's holdings of and transactions in securities issued
by the Company, unless earlier revoked by the undersigned in a signed writing
delivered to the foregoing attorneys-in-fact.

      All powers of attorney previously executed by the undersigned in
connection with the filing of Forms 3, 4, and 5 with respect to the
undersigned's holdings of and transactions in securities issued by the Company
required by Section 16(a) of the Securities Exchange Act of 1934 are hereby
revoked and superseded by this Power of Attorney.

      IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to
be executed as of this 1st day of July, 2013.

                                        J. Thomas Wilson
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                                        Print Name

                                        /s/ J. Thomas Wilson
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                                        Signature