Theoretical stability analysis of mixed finite element model of shale-gas flow with geomechanical effect

Mohamed F. El-Amin, Jisheng Kou, Shuyu Sun

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this work, we introduce a theoretical foundation of the stability analysis of the mixed finite element solution to the problem of shale-gas transport in fractured porous media with geomechanical effects. The differential system was solved numerically by the Mixed Finite Element Method (MFEM). The results include seven lemmas and a theorem with rigorous mathematical proofs. The stability analysis presents the boundedness condition of the MFE solution.
Original languageEnglish (US)
Pages (from-to)33
JournalOil and Gas Science and Technology
Volume75
DOIs
StatePublished - Jun 5 2020

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