Theoretical stability analysis of mixed finite element model of shale-gas flow with geomechanical effect
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
EDP Sciences
2020-01-01
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| Series: | Oil & Gas Science and Technology |
| Online Access: | https://ogst.ifpenergiesnouvelles.fr/articles/ogst/full_html/2020/01/ogst200042/ogst200042.html |
| Summary: | 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. |
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| ISSN: | 1294-4475 1953-8189 |