Upscaling of well singularities of flow transport through heterogeneous media

Zhiming Chen

Abstract

There are three scales in the flow transport through heterogeneous media involving well singularities: the size of the well, the size of the heterogeneity of the media, and the size of the computatioonal domain. In this talk, we are going to develop a multiscale coarse grid algorithm to solve such problems. Optimal error estimates are derived for the local periodic permeability. Numerical results will be reported.