Crystal dissolution and precipitation in porous media: pore scale analysis. (English) Zbl 1060.76116

van Duijn, C. J.; Pop, I. S.

J. Reine Angew. Math. 577, 171-211 (2004).

Summary: 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, C. J. van Duijn and S. Hengst [Adv. Water Res. 18, 171–185 (1995)].

MSC:

76S05	Flows in porous media; filtration; seepage
35Q35	PDEs in connection with fluid mechanics
35R35	Free boundary problems for PDEs

Keywords:

existence; weak solutions; free boundaries