Exhibit 24.1

                                POWER OF ATTORNEY
       For Executing Forms 3, 4 and 5, Form 144 and Schedules 13D and 13G

        The undersigned hereby constitutes and appoints each of Philip A.
Choyce, Byron A. Dunn, and Michael J. Harwell, signing singly, the undersigned's
true and lawful attorney-in-fact to:

        (1)      execute for and on behalf of the undersigned (a) Forms 3, 4 and
5 (including amendments thereto) in accordance with Section 16(a) of the
Securities Exchange Act of 1934, as amended (the "Act"), and the rules
thereunder, (b) Form 144 and (c) Schedules 13D and 13G (including amendments
thereto) in accordance with Sections 13(d) and 13(g) of the Act and the rules
thereunder;

        (2)      do and perform any and all acts for and on behalf of the
undersigned that may be necessary or desirable to complete and execute any such
Form 3, 4 or 5, Form 144 or Schedule 13D or 13G (including amendments thereto)
and timely file such Forms or Schedules with the Securities and Exchange
Commission (the "SEC") and any stock exchange, self-regulatory association or
any other authority;

        (3)      take any necessary or appropriate action to obtain or
regenerate codes and passwords enabling the undersigned to make electronic
filings with the SEC of such Form or Schedules; and

        (4)      take any other action of any type whatsoever in connection with
the foregoing that, in the opinion of each such attorney-in-fact, may be of
benefit to, in the best interest of, or legally required of the undersigned, it
being understood that the documents executed by the 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 the attorney-in-fact may approve in
the attorney-in-fact's discretion.

        The undersigned hereby grants to each attorney-in-fact full power and
authority to do and perform each 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 the attorneys-in-fact substitute, 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, and their substitutes, in serving in such capacity
at the request of the undersigned, are not assuming (nor is Independence
Contract Drilling, Inc. assuming) any of the undersigned's responsibilities to
comply with Section 16 or Section 13 of the Act.

        The undersigned agrees that each attorney-in-fact may rely entirely on
information furnished orally, electronically or in writing by the undersigned to
the attorney-in-fact. The undersigned also agrees to indemnify and hold harmless
Independence Contract Drilling, Inc. and each attorney-in-fact against any
losses, claims, damages or liabilities (or actions in these respects) that arise
out of or are based upon any untrue statements or omissions of necessary facts
in the information provided by the undersigned to Independence Contract
Drilling, Inc. or such attorney-in-fact for purposes of executing,
acknowledging, delivering or filing Form 3, 4 or 5, Form 144 or Schedule 13D and
13G (including amendments thereto) and agrees to reimburse Independence Contract
Drilling, Inc. and such attorney-in-fact on demand for any legal or other
expenses reasonably incurred in connection with investigating or defending
against any such loss, claim, damage, liability or action.

        This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4 and 5, Form 144 and
Schedules 13D and 13G (including amendments thereto) with respect to the
undersigned's holdings of and transactions in securities issued by Independence
Contract Drilling, Inc. unless earlier revoked by the undersigned in a signed
writing delivered to the foregoing attorneys-in-fact; provided, however, that
this Power of Attorney shall automatically terminate with respect to any
attorney-in-fact (but not with respect to the other attorneys-in-fact) at such
time as such attorney-in-fact ceases to be an employee of Independence Contract
Drilling, Inc. or any of its affiliates. This Power of Attorney does not revoke
any other power of attorney that the undersigned has previously granted.

                                [Signature Page Follows]

        IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney to
be executed as of the date written below.

/s/ David C. Brown
----------------------------------------
Name: David C. Brown

Date: July 24, 2014