Autumn School in Nonlinear Science 

08/10/2015, 11:00 — 12:00 — Abreu Faro Amphitheatre
Peter Knabner, Erlangen-Nürnberg

Flow, Transport and Multicomponent Reaction in Porous Media: Mathematical Modelling, Analysis and Simulation

We will review models for flow and reactive transport in porous media, ranging from groundwater to multiphase flow and from tracer transport to transport with general equilibrium/kinetic reactions also with pore changing mechanisms leading eventually to a full nonlinear coupling of all processes. Some aspects of analysis (existence, qualitative behavior) will be elucidated and tools for numerical simulation of real world problems (carbon dioxide sequestration, …) in terms of discretization and nonlinear solvers will be addressed. Being so far always on a macro (field) scale without explicit geometric resolution of the pore scale, also the upscaling process via periodic homogenization from pore scale models will be discussed leading also to new types of coupled micro-macro models.