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Finite element analysis of the motion of a gas‐liquid interface in a forous medium
Author(s) -
Lewis R. W.,
Norris V. A.,
France P. W.
Publication year - 1975
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.1620090211
Subject(s) - finite element method , interface (matter) , porous medium , galerkin method , mechanics , boundary (topology) , flow (mathematics) , boundary value problem , boundary element method , process (computing) , discontinuous galerkin method , mathematical analysis , porosity , mathematics , geometry , computer science , physics , engineering , structural engineering , bubble , geotechnical engineering , maximum bubble pressure method , operating system
A numerical method is outlined for determining the movement of a gas‐liquid interface in a porous medium following the withdrawal of gas from an underground reservoir. The governing equations for the flow of both gas and the underlying liquid are formulated in terms of the finite element process using the Galerkin approach. The method consists of an iterative technique in which solution of the basic equations is dependent on the location of the interface. Cubic isoparametric elements are employed to allow accurate modelling of the curved boundary and to provide a relatively large number of interface points for a small number of elements. Extensions of the method are indicated in the text.