Mathematics

Modeling of flow and transport in porous
media until recently has been restricted to the scales of physical observation, i.e., laboratory scale. At such scale porous media are considered a continuum and various parameters for mathematical models have to be obtained experimentally. However, computational models can now handle models at porescale; here porous media
are represented either as a collection of rock grains, or on a lattice. These computational models can be used as a virtual laboratory.
In the talk we describe discrete lattice models of adsorption which extend the well-known Ising model from statistical mechanics; we connect the model to continuum models at corescale. The discrete model easily incorporates adsorption hysteresis for multiple components.