Monday, June 16

10:30 AM-12:30 PM
Weavers Room

MS3
Upscaling Complex Flows in Strongly Heterogeneous Porous Medium

There is now a need for scaling-up very complex flow, for example, flow arising in non-newtonian fluids, fissured porous medium, double porosity/permeability, capillary effects vs. convection, sorbption, and dispersivity. These problems arise in various fields such as chemical engineering, fluid mechanics, soil science, and mathematics. Up to now, there have been no general answer and few rigorous results for these problems. The aim of this minisymposium is to bring together specialists from different fields who are involved in modelling complex fluid displacement and willing to address the similarities emerging from these models.

Organizer: Alain P. Bourgeat
Universite St Etienne, France

10:30 Dual Porosity Models for Consolidation of Swelling Clay Soils

Marcio A. Murad, LNCC/CNPq, Brazil; and John H. Cushman, Purdue University

11:00 Numerical Homogenization of Stationary and Ergodic Random Permeability Field

Anca Badea, CRES, Elf Antar, France; and Alain P. Bourgeat, Organizer

11:30 Homogenized Models with Memory Effects for the Compressible Two-Phase Flow Through Highly Heterogeneous Porous Media

Mikhail B. Panfilov, Russian Academy of Sciences, Russia

12:00 Numerical Upscaling of Strongly Heterogeneous Media Using a Multiscale FEM

Thomas Y. Hou, California Institute of Technology

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