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A numerical model for immiscible two‐phase fluid flow in a porous medium and its time domain solution
Author(s) -
Li Xikui,
Zienkiewicz O. C.,
Xie Y. M.
Publication year - 1990
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.1620300608
Subject(s) - biot number , discretization , porous medium , finite element method , mechanics , displacement (psychology) , wetting , saturation (graph theory) , mathematics , mathematical analysis , materials science , porosity , physics , thermodynamics , psychology , combinatorics , composite material , psychotherapist
The governing equations for the interaction of two immiscible fluids within a deforming porous medium are formulated on the basis of generalized Biot theory. The displacement of the solid skeleton, the pressure and saturation of wetting fluid are taken as primary unknowns of the model. The finite element method is applied to discretize the governing eqations in space. The time domain numerical solution to the coupled problem is achieved by using an unconditionally stable direct integration procedure. Examples are presented to illustrate the performance and capability of the approach.