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.
“…The results indicated that the gas effective permeability increases in a less complex and more discrete pore network. El-Amin et al [10] introduced 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, in which the differential system was solved by the Mixed Finite Element Method (MFEM).…”
“…The results indicated that the gas effective permeability increases in a less complex and more discrete pore network. El-Amin et al [10] introduced 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, in which the differential system was solved by the Mixed Finite Element Method (MFEM).…”
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