Combined multi-phase flow and reactive transport processes in porous media are encountered for many important fields in environmental and biological sciences as well as in technological applications. These processes occur and interact at different spatial scales. In this project, we consider for an REV scale of cm-length different immiscible fluid and solid phases which are separated by interfaces. These move in the pore space due to flow and bio-chemical processes like the precipitation and dissolution of crystals, or the growth and degradation of biofilms.
The main challenge is to understand the evolution of the interfaces, the impact on the pore geometry, and further on the REV-scale behaviour of the system. This renders traditional approaches focusing on processes at one scale to be inadequate: at the smallest scales these are too complex and hence computationally prohibitive, whereas at the larger scales they disregard essential information provided by the smaller scales.
The goal of this project is to construct reliable and computable mathematical models for multi-scale problems in complex domains, which account for the interfaces evolving at the pore scale. Such issues will be addressed within a generic mathematical and computational framework, which covers in particular multi-phase flow and bio-chemical processes. The outcome will be a family of new pore-scale models, rationally derived effective (REV-scale) mathematical models and appropriate numerical algorithms.
Lars von Wolff (M.Sc.)
LH2 und IANS
01/2018 - 12/2025