Variable-density flow in 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...

Adaptivity in the Finite Volume Discretization of Variable Density Flows in Porous Media

Modeling for Flow through Unsaturated Porous Media with Constant and Variable Density Conditions using Local Thermal Equilibrium

The Flow through saturated-unsaturated porous media is extremely important in various natural and industrial based applications. While the Darcy's law with various modifications are used to model the flow through a porous media, the flow through unsaturated porous media is largely based on conservation of mass and modified Darcy's law where non-linear relationship exists between the p...

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