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Crystal dissolution and precipitation in porous media: pore scale analysis

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: C.J. van Duijn, I.S. Pop

Editorial: Walter de Gruyter, J. Reine Angew. Math., 577, p.171-211, 2004.


In this paper we discuss a pore scale model for crystal dissolution and precipitation in porous media. We consider first general domains, for which existence of weak solutions is proven. For the particular case of strips we show that free boundaries occur in the form of dissolution/precipitation fronts. As the ratio between the thickness and the length of the strip vanishes we obtain the upscaled reactive solute transport model proposed by P. Knabner and C.J. van Duijn.

Cuvinte cheie: coupled parabolic-ODE system, multi-valued operator, existence, upscaling, free boundary