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.