Special issue on multiscale methods for flow and transport in heterogeneous porous media

摘要

The properties of natural porous media display high variability levels and complex multiscale heterogeneity. The dynamic flow and transport processes in these large geologic formations are, in turn, multiscale in nature and are a natural target for multiscale formulations. The development of multiscale numerical methods for the solution of partial differential equations with heterogeneous coefficients across scales has received increasing attention during the past few years. This special issue is a collection of articles that, in the opinion of the guest editors, is a representative "cross section" of current research in the area. Some of the contributions, which we outline below, are based on work presented at the Eighth Society for Industrial and Applied Mathematics Conference on Mathematical and Computational Issues in the Geosciences held in Avignon in June of 2005, where the guest editors organized a minisymposium on "Multiscale Methods for Flow and Transport in Heterogeneous Porous Media."