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Variational principles and finite element method for stress analysis of porous media
Author(s) -
Huang N. C.,
Szewczyk A. A.,
Li Y. C.
Publication year - 1990
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610140102
Subject(s) - finite element method , porous medium , plane stress , extended finite element method , mechanics , variational principle , stress (linguistics) , mixed finite element method , symmetry (geometry) , compressibility , geotechnical engineering , structural engineering , mathematics , engineering , porosity , mathematical analysis , geometry , physics , linguistics , philosophy
A number of variational principles are established in this paper for the stress analysis of porous media with compressible constituents. A three‐dimensional finite element method is proposed based on the variational principle. The finite element method thus established is applied to the study of the temperature, deformation and flow field associated with the water‐flood technique in secondary recovery projects for oil exploration. In the study model, the layout of injection wells and production wells is considered to have a regular pattern where symmetry conditions exist. The injection fluid diffuses slowly into the formation through a vertical crack which is initially generated by an explosion. The problem is analysed by a plane strain formulation with the effects of heat conduction and convection included.