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Institut für Wasserbau - IWS

Selected Topics and International Network Lectures

16:00 Uhr
Iuliu Sorin Pop, Department of Mathematics & Computational Scince, TU Eindhoven, The Netherlands

Dissolution and precipitation in porous media: modelling, analysis and numerical results

We discuss a pore scale model for crystal dissolution and precipitation in porous media. Referring first to general domains, we prove existence of weak solutions. Next, 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 goes to zero we obtain the upscaled reactive solute transport model proposed by P. Knabner and C.J. van Duijn. The presentation is completed by numerical results. These are obtained by a Rothe type discretization method, which is discussed in more details.

This is is a joint work with C.J. van Duijn (TU Eindhoven) and V. Devigne (ENS des Mines, Saint-Etienne).