P. Knabner et al., AN ANALYSIS OF CRYSTAL DISSOLUTION FRONTS IN FLOWS THROUGH POROUS-MEDIA, .1. COMPATIBLE BOUNDARY-CONDITIONS, Advances in water resources, 18(3), 1995, pp. 171-185
Proposed in this study is a model for transport of solutes in a porous
medium participating in a dissolution/precipitation reaction, in gene
ral not in equilibrium. For an unbounded spatial domain, travelling wa
ve solutions exist, if and only if the charge distribution is constant
and the situation is a dissolution situation. The travelling wave in
fact exhibits a sharp dissolution front. The wave is given in a nearly
explicit manner. Also for the limit cases of equilibrium or no disper
sion, travelling waves are established under the same conditions, but
with different qualitative properties.