On a fully coupled nonlinear parabolic problem modelling miscible compressible displacement in porous media
نویسندگان
چکیده
منابع مشابه
Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media
A nonlinear parabolic system is derived to describe compressible miscible displacement in a porous medium. The system is consistent with the usual model for incompressible miscible displacement. Two finite element procedures are introduced to approximate the concentration of one of the fluids and the pressure of the mixture. The concentration is treated by a Galerkin method in both procedures, ...
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In this paper, we shall dérive a new model for the miscible displacement of one incompressible fluid by another in porous media using simple physical conservation laws For a dilute mixture m which the density can be approximated by a constant, this new model reduces to the standard one used for the last decade The model is governed by a nonlinear system consisting of pressure and concentration ...
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and Applied Analysis 3 The grid function y(x, t) is a function defined at the grid points of g. we denote the nodal values of a grid function y(x, t) between time levels t 0 and t 0 as y (x, t) = y (x 1 , x 2 , t l,j i ) = y l,j n1 ,n2 , (11) for x ∈ ω i , i > 0, j = 0, . . . , m i . For x ∈ ω 0 we define y (x, t) = y (x 1 , x 2 , t l+1 0 ) = y l+1 n1 ,n2 . (12) δ x1 , δ x1 and δ x2 , δ x2 are ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2008
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2007.07.037