Mean Flow in composite porous media

Coupling Fluid Flow with Porous Media Flow

The transport of substances back and forth between surface water and groundwater is a very serious problem. We study herein the mathematical model of this setting consisting of the Stokes equations in the fluid region coupled with the Darcy equations in the porous medium, coupled across the interface by the Beavers–Joseph–Saffman conditions. We prove existence of weak solutions and give a compl...

Postbreakthrough behavior in flow through porous media.

We numerically simulate the traveling time of a tracer in convective flow between two points (injection and extraction) separated by a distance r in a model of porous media, d=2 percolation. We calculate and analyze the traveling time probability density function for two values of the fraction of connecting bonds p: the homogeneous case p=1 and the inhomogeneous critical threshold case p=p(c). ...

Multiscale Flow and Transport in Porous Media

Editorial: Flow and Transformation in Porous Media

1 Energy Safety Research Institute, College of Engineering, Swansea University, Swansea, UK, 2 School of Geographical and Earth Sciences, University of Glasgow, Glasgow, UK, 3 Institut de Physique du Globe de Strasbourg, Centre National de la Recherche Scientifique, University of Strasbourg/EOST, Strasbourg, France, 4 Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, W...

Modeling Foamy Oil Flow in Porous Media

Certain heavy oils which foam under severe depressurization give rise to increased recovery factor and an increased rate of production under solution gas drive. These oils not only stabilize foam, but also stabilize dispersion of gas bubbles at lower volume ratios. The way this phenomenon is related to the chemistry of the oil and its viscosity is presently not understood. We present here a mat...