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Flow of compressible fluid in porous elastic media
Author(s) -
Ghaboussi J.,
Wilson E. L.
Publication year - 1973
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620050311
Subject(s) - biot number , porous medium , compressibility , compressible flow , poromechanics , finite element method , mechanics , mathematics , boundary value problem , constitutive equation , flow (mathematics) , fluid dynamics , mathematical analysis , geotechnical engineering , porosity , geometry , physics , geology , thermodynamics
A finite element formulation for flow of fluid in a porous elastic media has been derived from a Gurtin type variational principle. Biot's field equations for porous media have been used in which the constitutive relations include the compressibility of the fluid. It has been shown that by proper choice of the form of the compressibility of the fluid as a function of the state variables, this option of the formulation can be used to treat the partially saturated soil. The method is general with respect to geometry, boundary conditions and material properties. Finally, the results of a series of examples have been presented and compared with exact results to demonstrate accuracy and applicability.