A homogenisation-based two-scale model for reactive transport in media with evolving microstructure
Sebastián Meier · Comptes Rendus Mécanique · 2008
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.