During recent years the authors and collaborators have been involved in an activity related
to the construction and analysis of large time step operator splitting algorithms for the …

Simultaneous flow of two, or more, immiscible fluids through permeable media is a process
encountered in many situations of practical and theoretical interest. A prime example is …

A nonlinear system of two coupled partial differential equations models miscible
displacement of one incompressible fluid by another in a porous medium. Conservation of …

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 …

A time-discretization procedure for a mixed finite element approximation of miscible
displacement in porous media Page 1 RAIRO. ANALYSE NUMÉRIQUE JIM JR. DOUGLAS …

Numerical dispersion and grid orientation problems with adverse mobility ratios are two of
the major difficulties in the numerical simulation of enhanced recovery processes. An …

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 …

We present a semi-discrete method for constructing approximate solutions to the initial value
problem for the m-dimensional convection-diffusion equation u_t+∇⋅⃗F(u)=εΔu. The …

The black oil model for describing the hydrocarbon equilibrium in porous media is
considered in this paper. Various formulations of the governing equations that describe this …

1. Introduction. The objective of reservoir simulation is to understand the complex chemical,
physical, and fluid flow processes occurring in a petroleum reservoir sufficiently well to be …