The effective permeability of a random medium

Abstract

The authors investigate the effective permeability of a heterogeneous random medium by numerical simulation and by self-consistent perturbation theory for a class of models including the log-normal model. For a reasonable range of parameters they find close agreement between the simulation and the perturbative calculation. This suggests that both methods may be useful for appropriate models. However, the simulation approach is widely applicable in circumstances where a perturbation calculation is not possible.