A Finite Element Upscaling Technique Based on the Heterogeneous Multiscale Method

B007 A FINITE ELEMENT UPSCALING TECHNIQUE BASED ON THE HETEROGENEOUS MULTISCALE METHOD Abstract 1 Simulating fluid flow through heterogeneous reservoirs requires the use of upscaling techniques that account for subscale effects but which nevertheless accurately represent the fluid flow behaviors at the reservoir scale. To simulate single-phase fluid flow through a system upscaling often involves estimating the unknown permeability at the coarse scale using information available at the fine scale. Many upscaling methods share a common feature: they define localized fine-scale problems or cell problems and solve them to estimate the permeability at the coarse scale. Cell problems are often