Multiscale Modelling of Chemical Degradation Mechanisms in Porous Media with Evolving Microstructure
Malte A. Peter, Michael Böhm · Multiscale Modeling and Simulation · 2009
A prototypical reaction–diffusion system in a porous medium is considered, whose microstructure undergoes an evolution with respect to time. Employing the recently developed method of homogenization in domains with evolving microstructure, the limit problems are obtained. Besides the time-evolution aspect, attention is paid to the scaling of the material parameters with powers of the homogenization parameter arising from a nondimensionalization. The paper has two main focuses: One focus is numerical experiments for prototypical simplified problems, which qualitatively confirm the appropriateness of the scalings obtained from a nondimensionalization and show the influence of the evolution of the microstructure on the model output. The second main focus is the real-world problem concrete carbonation, which is considered as a typical application of the presented approach. Comparison of experimental data for concrete carbonation with the simulation results confirms the validity of the modelling approach.