Theoretical stability analysis of mixed finite element model of shale-gas flow with geomechanical effect
KAUST DepartmentComputational Transport Phenomena Lab
Earth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Online Publication Date2020-06-05
Print Publication Date2020
Permanent link to this recordhttp://hdl.handle.net/10754/664412
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AbstractIn 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.
CitationEl-Amin, M. F., Kou, J., & Sun, S. (2020). Theoretical stability analysis of mixed finite element model of shale-gas flow with geomechanical effect. Oil & Gas Science and Technology – Revue d’IFP Energies Nouvelles, 75, 33. doi:10.2516/ogst/2020025
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