Coupling of transport and reaction in porous media

The coupling of the ID SFR equations with the chemical processes in and on the catalytic plate is straightforward. AH models discussed in Section 2.3 can be coupled via the species mass fluxes at the boundary between fluid phase and catalytic plate (Karadeniz, 2014 Karadeniz et al., 2013). Even more sophisticated models for the description of mass transport and chemical reactions in porous media such as the dusty-gas model (DGM) and also energy balances can be implemented into the numerical simulation (Karadeniz, 2014). 

The many beautiful examples of geochemical pattern formation presented by E. Merino (see these proceedings) underscore the breadth of phenomena in these systems and the interest in modeling them. Here we shall discuss the mathematical modeling of some of these phenomena and, in addition, the modeling of a number of nonlinear reaction-transport waves in porous media flow-reaction problems. All these phenomena have the common feature that they arise out of the coupling of the kinetics of first order phase transitions to transport. Interest in these phenomena is not new but dates past the beginning of this century - see [1] and [2] for early citations. 

---