W. G. Pritchard Lab Seminar - 116 McAllister Building
**Tuesday January 15, 2002**
Effective Acoustic Equations for a Two-phase Medium with Microstructure
Alexander Panchenko
Department of Mathematics
Penn State University
Abstract:
Consider a two-phase medium composed of a linear elastic material and a
compressible Newtonian fluid. We assume that the phase distribution
varies rapidly on the small length scale $\epsilon$. Using techniques of
homogenization, we derive a set of linear viscoelastic equations that
provides an effective medium model of acoustic wave propagation in the
composite. Our effective equations are similar to the phenomenological
equations recently proposed by Buckingham as a model of wave propagation
in fluid-saturated granular materials.