Hysteresis in flow through porous media

Modeling Hysteresis in Porous Media Flow via Relaxation

Macroscopic capillarity and hysteresis for flow in porous media.

A macroscopic theory for capillarity in porous media is presented, challenging the established view that capillary pressure and relative permeability are constitutive parameter functions. The capillary pressure function in the present theory is not an input parameter but an outcome. The theoretical approach is based on introducing the residual saturations explicitly as state variables [as in Ph...

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). ...

Inertial capture in flow through porous media

We investigate through analytical and numerical calculation of non-Brownian particles transported by a fluid at low Reynolds number in a porous medium, the influence of geometry and inertial effects on the capture efficiency of the solid matrix. In the case of a periodic array of cylinders, our results reveal a typical second order transition between non-trapping and trapping of particles that ...

Flow control of fluids through porous media

This paper discusses flow control of fluids through porous media, specifically related to its application in petroleum science. The flow of fluids is described by the Boussinesq equation with mixed boundary conditions; a Neumann boundary condition describes no flow at the outer boundary of the porous media and a nonlinear boundary condition describes the interaction between the porous media and...