Monday, May 12

10:30 AM-12:10 PM
Thomas Eakins Room

MS7
Inverse Problems for Composite Media

In numerous industrial, geophysical, and biological settings, it is often necessary to non-invasively deduce the internal structure of some composite or inhomogeneous medium. For example, in monitoring the condition of heart patients, it is useful to know the electrophysiological state of the interior of the body. In the oil recovery industry, the internal structure of oil bearing porous rocks is of great interest, while in monitoring the sea ice pack on polar oceans, it is useful to know as much as possible about the microstructure of the sea ice, a composite of pure ice, brine, and air. In this minisymposium, the speakers will discuss mathematical aspects of current techniques for reconstructing the internal properties of composite media in these and other situations.

Organizer: Kenneth M. Golden
University of Utah

10:30-10:50 Can One Hear the "Shape" of a Porous Media?

Pabitra N. Sen, Schlumberger-Doll Research

10:55-11:15 High Contrast Impedance Tomography

Liliana Borcea, California Institute of Technology

11:20-11:40 On Uniqueness of Recovering the Microstructure of a Composite from Effective Property Measurements

Elena Cherkaeva, University of Utah

11:45-12:05 Forward and Inverse Homogenization for Sea Ice

Kenneth M. Golden, Organizer

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