Mixed finite element methods for compressible miscible displacement in porous media
نویسندگان
چکیده
منابع مشابه
Stabilized finite element methods for miscible displacement in porous media
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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A combined method consisting of the mixed finite element method for flow and the discontinuous Galerkin method for transport is introduced for the coupled system of miscible displacement problem. A “cut-off” operatorM is introduced in the discontinuous Galerkin formular in order to make the combined scheme converge. Optimal error estimates in L(H) for concentration and in L(L) for velocity are ...
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Effective numerical simulation of many EOR problems requires very accurate approximation of the Darcy velocities of the respective fluids. In this paper we describe a new method for the accurate determination of the Darcy velocity of the total fluid in the miscible displacement of one incompressible fluid by another in a porous medium. The new mixed finite-element procedure solves for both the ...
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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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A combined method consisting of the mixed finite element method for flow and the local discontinuous Galerkin method for transport is introduced for the one dimensional coupled system of incompressible miscible displacement problem. Optimal error estimates in L∞(0, T ;L) for concentration c, in L(0, T ;L) for cx and L ∞(0, T ;L) for velocity u are derived. The main technical difficulties in the...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1991
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1991-1094942-7