Dissolution Effects in Transport in Porous Media
Angela Pawell, Klaus-Dieter Krannich · SIAM Journal on Applied Mathematics · 1996
The transport of reacting solutes in an equilibrium dissolution reaction leads to a moving boundary problem. Dependent on the boundary conditions we consider a two- or three-phase free boundary problem for a diffusion-convection and reaction process in a bounded domain. The system is driven out of equilibrium by a forced exchange of solutes with the exterior of the domain and is characterized by the dynamic interaction between flow conditions at the boundaries and a reaction-induced dissolution. Extending previous results, we consider arbitrary chemical equilibrium reactions with general equilibrium conditions. We prove well-posedness of the nonstationary problem and present a new numerical approximation by finite differences on an adaptive time-dependent grid.