Event Type:

Applied Mathematics and Computation Seminar

Date/Time:

Friday, October 12, 2007 - 05:00

Location:

Gilkey 113

Event Link:

Abstract:

The traditional approach for multiscale porous media is to look down from a (global) Darcy flow to a distributed microstructure of slow flow cells. We change our perspective here to look up from Darcy flow to a distribution of fast flow fractures. We describe the exchange of fluid between a porous medium saturated with a slightly compressible viscous fluid and the Stokes flow in a thin adjacent open channel. For the case of channel width close to zero, we show that the width-averaged problem is described by a Brinkman system on the interface.