POWER OF ATTORNEY
             FOR EXECUTING FORM ID, FORMS 3, FORMS 4 AND FORMS 5,
                   FORM 144 AND SCHEDULE 13D AND SCHEDULE 13G

The undersigned hereby constitutes and appoints Max L. Bouthillette, Keefer M.
Lehner and Rogers Herndon, or any of them acting without the others, with full
power of substitution, as the undersigned's true and lawful attorney-in-fact to:

     (1)   Execute for and on behalf of the undersigned, in the undersigned's
           capacity as an officer and/or director of Quintana Energy Services
           Inc., a Form ID (including amendments thereto), or any other forms
           prescribed by the Securities and Exchange Commission (the "SEC"),
           that may be necessary to obtain codes and passwords enabling the
           undersigned to make electronic filings with the SEC of the forms
           referenced in clause (2) below;

     (2)   Execute for and on behalf of the undersigned, in the undersigned's
           capacity as an officer and/or director of Quintana Energy Services
           Inc., any (a) Form 3, Form 4 and Form 5 (including amendments
           thereto) in accordance with Section 16(a) of the Securities Exchange
           Act of 1934, as amended (the "Exchange Act"), and the rules
           thereunder, (b) Form 144 (including amendments thereto), in
           accordance with Rule 144 of the Securities Act of 1933, as amended
           (the "Securities Act"), and the rules thereunder, and (c) Schedule
           13D and Schedule 13G (including amendments thereto) in accordance
           with Sections 13(d) and 13(g) of the Exchange Act, but only to the
           extent each form or schedule relates to the undersigned's beneficial
           ownership of securities of Quintana Energy Services Inc. or any of
           its subsidiaries;

     (3)   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 Form
           ID, Form 3, Form 4, Form 5, Form 144, Schedule 13D or Schedule 13G
           (including amendments thereto) and timely file the forms or schedules
           with the SEC and any stock exchange or quotation system, self-
           regulatory association or any other authority, and provide a copy as
           required by law or advisable to such persons as the attorney-in-fact
           deems appropriate; and

     (4)   Take any other action in connection with the foregoing that, in the
           opinion of the 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 the form and shall contain the terms and conditions as the
           attorney-in- fact may approve in the attorney-in-fact's discretion.

The undersigned hereby grants to the attorney-in-fact full power and authority
to do and perform all and every act requisite, necessary or proper to be done in
the exercise of any of the rights and powers granted herein, 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 attorney-in-fact shall lawfully do or cause to be done by virtue of
this Power of Attorney and the rights and powers granted herein.  The
undersigned acknowledges that the attorney-in-fact, in serving in such capacity
at the request of the undersigned, are not assuming (nor is Quintana Energy
Services Inc. assuming) any of the undersigned's responsibilities to comply with
Section 16 of the Exchange Act or Rule 144 of the Securities Act.

The undersigned agrees that the attorney-in-fact may rely entirely on
information furnished orally or in writing by or at the direction of the
undersigned to the attorney-in-fact.  The undersigned also agrees to indemnify
and hold harmless Quintana Energy Services Inc. and the 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 or at the direction of the
undersigned, or upon the lack of timeliness in the delivery of information by or
at the direction of the undersigned, to the attorney-in fact for purposes of
executing, acknowledging, delivering or filing a Form ID, Form 3, Form 4, Form
5, Form 144, Schedule 13D or Schedule 13G (including amendments thereto) with
respect to the undersigned's holdings of and transactions in securities issued
by Quintana Energy Services Inc. and agrees to reimburse Quintana Energy
Services Inc. and the 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 Form ID, Form 3, Form 4, Form 5, Form
144, Schedule 13D and Schedule 13G (including amendments thereto) with respect
to the undersigned's holdings of and transactions in securities issued by
Quintana Energy Services Inc., unless earlier revoked by the undersigned in a
signed writing delivered to the attorney-in-fact.  This Power of Attorney does
not revoke any other power of attorney that the undersigned has previously
granted.

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

/s/ Geoffrey C. Stanford
-------------------------------
Geoffrey C. Stanford
May 23, 2018