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 Ann G. Fox, Clinton Roeder and
Theodore R. Moore, 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 a Form ID (including
              amendments thereto), or any other forms prescribed by the
              Securities and Exchange Commission, that may be necessary to
              obtain codes and passwords enabling the undersigned to make
              electronic filings with the Securities and Exchange Commission of
              the forms referenced in clause (2) below;

        (2)   Execute for and on behalf of the undersigned 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) 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 Nine Energy Service, 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 Securities and Exchange Commission
              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 Nine Energy Service,
Inc. assuming) any of the undersigned's responsibilities to comply with Section
16 of the Exchange 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 Nine Energy Service, 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 Nine Energy
Service, Inc. and agrees to reimburse Nine Energy Service, 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 Nine
Energy Service, 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.

                            [Signature Page Follows]

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

                                        SCF GP LLC


                                        By: /s/ Anthony DeLuca
                                            -----------------------------------
                                        Name:  Anthony DeLuca
                                        Title: Managing Director
                                        Date:  March 7, 2019


                      Signature Page to Power of Attorney