Multiphase flow and transport modeling in heterogeneous porous media: challenges and approaches
We review the current status of modeling multiphase systems, including balance equation
formulation, constitutive relations for both pressure-saturation-conductivity and interphase …
formulation, constitutive relations for both pressure-saturation-conductivity and interphase …
Convergence analysis of an approximation of miscible displacement in porous media by mixed finite elements and a modified method of characteristics
RE Ewing, TF Russell, MF Wheeler - Computer Methods in Applied …, 1984 - Elsevier
A nonlinear system of two coupled partial differential equations models miscible
displacement of one incompressible fluid by another in a porous medium. Conservation of …
displacement of one incompressible fluid by another in a porous medium. Conservation of …
Time stepping along characteristics with incomplete iteration for a Galerkin approximation of miscible displacement in porous media
TF Russell - SIAM journal on numerical analysis, 1985 - SIAM
Miscible displacement of one incompressible fluid by another in a porous medium is
modeled by a nonlinear coupled system of two partial differential equations. The pressure …
modeled by a nonlinear coupled system of two partial differential equations. The pressure …
Mixed finite element methods for elliptic problems
DN Arnold - Computer methods in applied mechanics and …, 1990 - Elsevier
This paper treats the basic ideas of mixed finite element methods at an introductory level.
Although the viewpoint presented is that of a mathematician, the paper is aimed at …
Although the viewpoint presented is that of a mathematician, the paper is aimed at …
A triangle based mixed finite element—finite volume technique for modeling two phase flow through porous media
LJ Durlofsky - Journal of Computational physics, 1993 - Elsevier
Triangle based discretization techniques offer great advantages relative to standard finite
difference methods for the modeling of flow through geometrically complex geological …
difference methods for the modeling of flow through geometrically complex geological …
[HTML][HTML] A summary of numerical methods for time-dependent advection-dominated partial differential equations
RE Ewing, H Wang - Journal of Computational and Applied Mathematics, 2001 - Elsevier
We give a brief summary of numerical methods for time-dependent advection-dominated
partial differential equations (PDEs), including first-order hyperbolic PDEs and nonstationary …
partial differential equations (PDEs), including first-order hyperbolic PDEs and nonstationary …
[图书][B] Hydrogeology: groundwater science and engineering
A Dassargues - 2018 - taylorfrancis.com
This text combines the science and engineering of hydrogeology in an accessible,
innovative style. As well as providing physical descriptions and characterisations of …
innovative style. As well as providing physical descriptions and characterisations of …
A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection–diffusion equations
A fully discrete two-grid modified method of characteristics (MMOC) scheme is proposed for
nonlinear variable-order time-fractional advection–diffusion equations in two space …
nonlinear variable-order time-fractional advection–diffusion equations in two space …
Control‐volume mixed finite element methods
A key ingredient in simulation of flow in porous media is accurate determination of the
velocities that drive the flow. Large‐scale irregularities of the geology (faults, fractures, and …
velocities that drive the flow. Large‐scale irregularities of the geology (faults, fractures, and …
An ELLAM scheme for advection-diffusion equations in two dimensions
We develop an Eulerian--Lagrangian localized adjoint method (ELLAM) to solve two-
dimensional advection-diffusion equations with all combinations of inflow and outflow …
dimensional advection-diffusion equations with all combinations of inflow and outflow …