Exhibit 24

                                POWER OF ATTORNEY

        Know all by these presents, I hereby appoint Tracy W. Krohn, Jamie L.
Vazquez, John D. Gibbons, Stephen L. Schroeder, Thomas F. Getten or any one of
them acting alone, to act as my agent and attorney-in-fact for the purpose of
completing, executing and filing on my behalf with the Securities and Exchange
Commission, the New York Stock Exchange, Inc. or any other exchange or self
regulatory body, any Form 3 "Initial Statement of Beneficial Ownership of
Securities", Form 4 "Statement of Changes in Beneficial Ownership of
Securities", Form 5 "Annual Statement of Beneficial Ownership of Securities,"
any Schedule 13-D or 13-G, including any amendments, or any other similar form
to report securities ownership that may, in the opinion of any of them be
necessary, with respect to any transaction in securities of W&T Offshore, Inc.

Nothing herein shall relieve me of the responsibility for the accuracy of the
information and representations contained in any Form 3, Form 4, Form 5,
Schedule 13-D or 13-G, including any amendments, or other similar form
completed, executed and filed pursuant to this power of attorney.

This power of attorney shall supersede all similar prior powers of attorney and
will remain effective as to the agents and attorneys-in-fact referred to above
until I revoke or amend it by written notice to such persons or until the
undersigned is no longer required to file Form 3, Form 4, Form 5, Schedule 13-D
or 13-G, including any amendments, or other similar form completed, executed and
filed pursuant to this power of attorney.

IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to be
executed on this 17th day of January, 2011.

                                        /s/ Jesus G. Melendrez
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                                        Jesus G. Melendrez