Characteristics Collocation Method of Compressible Miscible Displacement with Dispersion
نویسندگان
چکیده
منابع مشابه
L-norm Error Bounds of Characteristics Collocation Method for Compressible Miscible Displacement in Porous Media
A nonlinear parabolic system is derived to describe compressible miscible displacement in a porous medium in non-periodic space. The concentration is treated by a characteristics collocation method, while the pressure is treated by a finite element collocation method. Optimal order estimates in L2 is derived.
متن کاملTwo-Grid Method for Miscible Displacement ProblembyMixed Finite ElementMethods andMixed Finite Element Method of Characteristics
Themiscible displacement of one incompressible fluid by another in a porous medium is governed by a system of two equations. One is elliptic form equation for the pressure and the other is parabolic form equation for the concentration of one of the fluids. Since only the velocity and not the pressure appears explicitly in the concentration equation, we use a mixed finite element method for the ...
متن کاملDerivation of Models of Compressible Miscible Displacement in Partially Fractured Reservoirs
We derive rigorously homogenized models for the displacement of one compressible miscible fluid by another in fractured porous media. We denote by the characteristic size of the heterogeneity in the medium. A parameter α ∈ [0, 1] characterizes the cracking degree of the rock. We carefully define an adapted microscopic model which is scaled by appropriate powers of . We then study its limit as →...
متن کاملNumerical 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, ...
متن کاملA Finite Difference Scheme for Compressible Miscible Displacement Flow in Porous Media on Grids with Local Refinement in Time
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 ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Physics
سال: 2015
ISSN: 2327-4352,2327-4379
DOI: 10.4236/jamp.2015.31012