Capillary rise experiments were performed in columns filled with glass beads and Berea sandstones, using visual methods to register the advance of the water front. For the glass-bead-filled columns, early time data is well fitted by the Washburn equation. However in the experiments, the...

Interfaces formed by a homogeneous fluid and a porous media are commonly found in nature and applications. This work uses Brownian motion simulations for exploring the effects of the interface in the diffusion transport of passive particles. The results revealed that the diffusion transport is...

We develop a stochastic theory for filtration of suspensions in porous media. The theory takes into account particle and pore size distributions, as well as the random character of the particle motion, which is described in the framework of the theory of continuous-time random walks (CTRW). In...

We propose a new approach to transport of the suspensions and tracers in porous media. The approach is based on a modified version of the continuous time random walk (CTRW) theory. In the framework of this theory we derive an elliptic transport equation. The new equation contains the time and...

A new method for simulating two-phase flow in porous media using hierarchical lattices is presented. These type of lattices allowed us to perform simulations of very large systems at a very low computational cost. It is shown how flow properties agree with those found using conventional...

A theoretical model for the relative gas diffusion coefficient in dry porous media embedded with a Y-shaped fractal-like tree network is presented under the combination of bulk diffusion and Knudsen diffusion. The proposed model is expressed as a function of the length ratio, the diameter ratio,...