Application of superposition principle to variable rate/pressure production analysis in unconventional gas reservoirs

Miao Zhang, Luis Ayala H.

Abstract

Application of superposition principle to non-linear gas governing equations has been an elusive goal in early-transient production data analysis and has been so far limited to the use of empirical and approximate methods best applicable to boundary-dominated flow conditions. This paper presents a novel and rigorous semi-analytical model that is applicable for the analysis of production data from multi-fractured horizontal gas wells (MFHWs) producing under early-transient variable rate/pressure production conditions. Nonlinear, pressure-dependent hydraulic diffusivity retained in pseudo-pressure-based gas diffusivity equation is straightforwardly and rigorously captured without approximation. The resulting formulation of superposition applied in nonlinear gas system is written in terms of the classical solution for linear PDE plus an analytical adjustment factor that quantifies the nonlinearity of the system. Numerical examples are presented to test the validity and showcase the capabilities of proposed approach. Comparisons against available empirical and approximate models are also provided for these cases.

Original languageEnglish (US)
Title of host publicationSPE Annual Technical Conference and Exhibition 2018, ATCE 2018
PublisherSociety of Petroleum Engineers (SPE)
ISBN (Electronic)9781613995723
Publication statusPublished - Jan 1 2018
EventSPE Annual Technical Conference and Exhibition 2018, ATCE 2018 - Dallas, United States
Duration: Sep 24 2018Sep 26 2018

Publication series

NameProceedings - SPE Annual Technical Conference and Exhibition
Volume2018-September

Other

OtherSPE Annual Technical Conference and Exhibition 2018, ATCE 2018
CountryUnited States
CityDallas
Period9/24/189/26/18

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All Science Journal Classification (ASJC) codes

  • Fuel Technology
  • Energy Engineering and Power Technology

Cite this

Zhang, M., & Ayala H., L. (2018). Application of superposition principle to variable rate/pressure production analysis in unconventional gas reservoirs. In SPE Annual Technical Conference and Exhibition 2018, ATCE 2018 (Proceedings - SPE Annual Technical Conference and Exhibition; Vol. 2018-September). Society of Petroleum Engineers (SPE).