A homogenisation-based two-scale model for reactive transport in media with evolving microstructure
Author:
- 20 June 2008
- journal article
- Published by MathDoc/Centre Mersenne in Comptes Rendus Mécanique
- Vol. 336 (8) , 623-628
Abstract
A two-scale model for reactive transport in a porous medium with an evolving phase configuration is formulated. The model equations are derived from a pore-scale model by homogenisation and are defined on a time-dependent geometry. Two different settings are considered: In the first one, an evolving pore-water distribution is a-priori given. In the second one, the pore water evolves due to the reaction itself. By transforming the system to a reference configuration, it can be proven that both settings lead to mathematically well-posed problems.Keywords
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