We examine the dynamics of a miscible displacement in capillary, calculating nonequilibrium capillary pressure moving (and slowly diffusing) meniscus. During displacement, varies with time following stretching and smearing interface. The remains different from zero for long (on diffusion scale), slowing displacement. This is however completely ignored by all theories currently available practic...

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 ...

for preventing groundwater and soil from heavy metal contamination and/or to decrease contamination, and to clean up the former disposal sites from these metals, one must be beforehand able to predict the movement of these pollutants in soils. in this research in order to describe cadmium [cd (ii)] transport in soils, we incorporated an equilibrium-kinetic two-site model into the convection-dis...

The miscible displacement of a shear-thinning fluid by another of same rheological properties is studied experimentally in a transparent fracture by an optical technique imaging relative concentration distributions. The fracture walls have complementary self-affine geometries and are shifted laterally in the direction perpendicular to the mean flow velocity U : the flow field is strongly channe...

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.

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 ...