Homogenizing Moving Boundary Problems in Porous Media

Tycho van Noorden

We discuss processes in porous media with moving boundaries at the pore-scale such as deposition, biofilm growth and crystal dissolution and precipitation. All these processes may change the pore geometry. We show how to use the pore-scale free boundary problem to derive upscaled effective equations on the Darcy scale via a formal homogenization procedure.
We also discuss how to use numerical simulations for a verification of our homogenization results.