Speaker
Description
The modeling of coupled hydro-chemical processes in random porous media requires consistent treatment of the random flow and reaction parameters. They should not be considered as independent random variables. Instead, one possibility is to consider the permeability of the porous media as an independent random variable, and to use it in calculating the reaction parameters.
Here we consider a steady state two-dimensional convection-reaction-diffusion equation with random coefficients. It describes a reactive transport inside a random porous medium. Heterogeneous reaction is considered in this case. This type of models has practical applications in oil recovery, soil pollution and remediation, as well as in several industrial and biomedical processes. The equation is considered in its dimensionless form. An efficient MLMC method is developed for solving the problem, and results from numerical simulations are presented. The coarse grain strategies used for constructing the MLMC levels are discussed. Lognormal distribution of the permeability is considered, based on numerous experimental observations.
| Country | Germany |
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