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Finite element modelling of three‐phase flow in deforming saturated oil reservoirs
Author(s) -
Lewis R. W.,
Sukirman Y.
Publication year - 1993
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.1610170804
Subject(s) - finite element method , mechanics , porous medium , discretization , flow (mathematics) , two phase flow , geotechnical engineering , displacement (psychology) , fluid dynamics , solver , geology , mathematics , porosity , thermodynamics , physics , mathematical analysis , mathematical optimization , psychology , psychotherapist
A numerical simulation is presented for three‐dimensional three‐phase fluid flow in a deforming saturated oil reservoir. The mathematical formulation describes a fully coupled governing equation systen which consists of the equilibrium and continuity equations for three immiscible fluids flowing in a porous medium. An elastoplastic soil model, based on a Mohr–Coulomb yield surface, is used. The finite element method is applied to obtain simultaneous solutions to the governing equations where displacement and fluid pressures are the primary unknowns. The final discretized equations are solved by a direct solver using fully implicit procedures. The developed model is used to investigate the problems of three‐phase fluid flow in a deforming saturated oil reservoir.