There are 2 "most used" ways, that I know of, to extract oil from a porous material. The first way is to pump water below the reservoir and let the oil ride up, this can typically get about 40% of the oil traped in the porous material. Another, newer, method is to use bacteria, basically add a bunch of bacteria, let it sit for a few days and then pump water in again.
The web-page you cited is simply a research group that uses mathematical models to find the relationships between various micro (and macro) structures, and to predict some of the physical properties (permeability, conductivity, etc.) involved in fluid mechanics and magnetohydrodynamics.