Exact numerical solution of the electrostatic disordered potential problem is carried out for four fully discretized three-dimensional experimental reconstructions of sedimentary rocks. The measured effective macroscopic dielectric constants and electrical conductivities are compared with...

Gravity driven instabilities in model porous packings of 1mm diameter spheres are studied by comparing the broadening of the displacement front between fluids of slightly different densities in stable and unstable configurations. Water, water–glycerol and water–polymer solutions are used to...

This paper focuses on the reaction-diffusion problem in a disordered porous medium. The objective is to obtain an effective medium description of the concentration dynamics having a fractional Cattaneo's law equation as the flux constitutive equation. The methodology is based on a volume...

In this paper, a two-dimensional eight-velocity multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is proposed for incompressible porous flows at the representative elementary volume scale based on the Brinkman–Forchheimer-extended Darcy model. In the model, the porosity is included...

A volume averaging approach is used to estimate the porous media permeability. Contrary to traditional methods that rely on solving the Navier–Stokes equations for laminar flow, this approach has the advantage that it does not require the specification of some physical conditions and...

We present in this paper a methodology to calculate the distribution of local void ratio in porous media systems from high-resolution three-dimensional images. We introduce an algorithm to calculate the distribution of local void ratio from 3D images based on distance and watershed transforms....

The concentration of a tracer injected into a packed bed is studied as a function of the time and of the axial position in the frame-work of a phenomenological model of irregular packed bed. For that we consider a one-dimensional Fick diffusion equation with a stochastic porosity. To perform an...

We present experimental solute desorption measurements in porous packings of activated carbon grains. In desorption experiments a tagged NaI solution initially saturating the medium is replaced by water. The solute concentration, obtained at different cross sections of the porous sample, follows...

During the past two decades, the lattice Boltzmann (LB) method has been introduced as a class of computational fluid dynamic methods for fluid flow simulations. In this method, instead of solving the Navier Stocks equation, the Boltzmann equation is solved to simulate the flow of a fluid. This...

Due to recent activity involving diffusion measurements using pulsed gradient spin echo techniques, both experimental and theoretical, we now have a better understanding of diffusion of fluid molecules in a large class of natural and artificial porous media. At short times, the restrictions...