Transport in Porous Media, Vol.69, No.1, 109-122, 2007
A mathematical model of sulphite chemical aggression of limestones with high permeability. Part I. Modeling and qualitative analysis
We introduce a degenerate nonlinear parabolic-elliptic system, which describes the chemical aggression of limestones under the attack of SO2, in high permeability regime. By means of a dimensional scaling, the qualitative behavior of the solutions in the fast reaction limit is investigated. Explicit asymptotic conditions for the front formation are derived.
Keywords:chemical reactions;porous media;convective and diffusive flows;fast reaction limit;free boundary problems