Thursday, March 25

Waves in Multiscale Media - Part I of II

10:30 AM-12:30 PM
Room: Executive Salon 1

Multiscale variability is a striking feature of geophysical phenomena. This is true of the earth's subsurface where the medium varies rapidly in all directions. Fine-scale random processes and multiscale fractals provide the framework to mathematically characterize the variability. This session emphasizes empirical and theoretical considerations for waves and radiative transport in these media. The speakers will present practical experience on wave interactions with 3-D heterogeneity, multiscale analysis findings on detailed medium measurements, and theoretical results. One basis for these results is a separation of scales, providing a generalization of the O'Doherty-Anstey formula. Another is the application scale-invariance or transport theoretical arguments.

Organizers: Felix J. Herrmann
Massachusetts Institute of Technology
William W. Symes
Rice University

10:30-10:55 Radiative Transfer Theory-Based Inversion for Energy Radiation from an Earthquake Fault
Haruo Sato and Hisashi Nakahara, Tohoku University, Sendai, Japan; Toshihiko Hayakawa, Mitsubishi Space Software Co., Ibaraki, Japan; Takeshi Nishimura and Masakazu Ohtake, Tohoku University, Sendai, Japan
11:00-11:25 Wave Propagation in Fractal Media: Experimental Results on Electromagnetic Wave Propagation
Alain Le Méhauté and and A. Nivanen, ISMANS, Le Mans, France; and L. Heliodore, Alcatel CIT, Marcoussis, France
11:30-11:55 Time-Reversal Mirror Techniques in the Regime of Separation of Scales
Jean-Pierre Fouque, North Carolina State University
12:00-12:25 Mathematical Modeling, Representation, and Decomposition of Multiscale Media
Felix J. Herrmann, Organizer

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tjf, 10/28/98, MMD, 11/20/98