Semi-analytical modeling of multi-mechanism gas transport in shale reservoirs with complex hydraulic-fracture geometries by the boundary element method

Miao Zhang, Qian Sun, Luis F. Ayala

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This work proposes a novel boundary-element based approach to model fluid transport in unconventional shale gas reservoirs with complex hydraulic fracture networks. The fluid flow model employed in this work considers multiple fluid transport mechanisms identified in in gas transporting process in shale nanopores including diffusion, sorption Kinetics, Knudsen diffusion, and sorbed-phase surface diffusion. Accordingly, two governing partial differential equations (PDEs) are written for free and sorbed gases. In the proposed method, boundary integral formulations are analytically derived using the fundamental solution of the Laplace Equation for two governing nonlinear PDEs and Green's second identity. The domain integrals considering the nonlinear terms due to multi-mechanism effects, are transformed into boundary integrals employing the dual reciprocity method (DRM). The resulting boundary integral equations for free and sorbed gas later are solved in terms of a series of discrete nodes after coupling with fracture flow model. The validity of proposed solution is verified using several case studies through comparison with a commercial finite-element numerical simulator COMSOL.

Original languageEnglish (US)
Title of host publicationSociety of Petroleum Engineers - SPE Annual Technical Conference and Exhibition 2019, ATCE 2019
PublisherSociety of Petroleum Engineers (SPE)
ISBN (Electronic)9781613996638
DOIs
StatePublished - 2019
EventSPE Annual Technical Conference and Exhibition 2019, ATCE 2019 - Calgary, Canada
Duration: Sep 30 2019Oct 2 2019

Publication series

NameProceedings - SPE Annual Technical Conference and Exhibition
Volume2019-September

Conference

ConferenceSPE Annual Technical Conference and Exhibition 2019, ATCE 2019
CountryCanada
CityCalgary
Period9/30/1910/2/19

All Science Journal Classification (ASJC) codes

  • Fuel Technology
  • Energy Engineering and Power Technology

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