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

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Type
Article
Authors
El-Amin, Mohamed F.
Kou, Jisheng
Sun, Shuyu cc
KAUST Department
Computational Transport Phenomena Lab
Earth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Date
2020-06-05
Online Publication Date
2020-06-05
Print Publication Date
2020
Submitted Date
2020-02-06
Permanent link to this record
http://hdl.handle.net/10754/664412

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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.
Citation
El-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
Publisher
EDP Sciences
Journal
Oil and Gas Science and Technology
DOI
10.2516/ogst/2020025
Additional Links
https://ogst.ifpenergiesnouvelles.fr/10.2516/ogst/2020025
https://ogst.ifpenergiesnouvelles.fr/articles/ogst/pdf/2020/01/ogst200042.pdf
Collections
Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab
This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Except where otherwise noted, this item's license is described as This is an Open Access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.