Résumé. — Une modèle porosité double, permeabilité double est presentée pour la simulation d’un déplacement incompressible miscible dans un mileau poreux naturellement fracturé. L’écoulement des fluides est décrit dans le système des fractures et dans chaque bloc matriciel par une équation elliptique pour la pression et une équation parabolique pour la concentration. L’échange de fluide entre l...

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, ...

In this article we analyse the numerical approximation of incompressible miscible displacement problems with a combined mixed finite element and discontinuous Galerkin method under minimal regularity assumptions. The main result is that sequences of discrete solutions weakly accumulate at weak solutions of the continuous problem. In order to deal with the non-conformity of the method and to avo...

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 →...

In this work, we analyze a parallel finite element implementation for multi-core clusters of incompressible miscible displacements in porous media. For that, we compare two alternatives of MPI jobs scheduling on the clusters’ cores. One of them, named fill-up, schedules jobs to all cores of a Central Processing Unit (CPU) of a cluster before considering the next CPU, and the other, named single...

The paper briefly describes the effects of diffusion and dispersion and other effects present during the oil displacement processes with miscible fluids, i.e. solvents. Recovery of oil is significantly improved during the application of such processes, but at the same time accompanied with decrease or even total loss of solvent slug. When designing such processes, particular attention should be...

The composition of fuels, mixed-solvent wastes and other contaminants that find their way into the subsurface are frequently chemically complex. The dispersion and diffusion characteristics of multicomponent solutions in soil have rarely been compared to equivalent single-solute systems. The purpose of this work was to examine the diffusive and dispersive transport of singleand multi-component ...