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Bulletin of the Seismological Society of America; October 1984; v. 74; no. 5; p. 1605-1614
© 1984 Seismological Society of America
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Numerical studies of the coda falloff rate of multiply scattered waves in randomly layered media

WILLIAM MENKE and ROLIN CHEN

COLLEGE OF OCEANOGRAPHY OREGON STATE UNIVERSITY, CORVALLIS, OREGON 97331

Abstract

We study the falloff rate of the coda of acoustic signals after transmission (net forward-scattering) through a stack of thin layers (compared to the wavelength of the signal) with randomly fluctuating impedances. We find that the change in coda energy with time after the first arrival can be modeled as a decaying exponential with falloff rate

Formula
where {omega} is the center frequency of a frequency band of the coda, x is the source-receiver distance, and {sigma} is the standard deviation of the impedance fluctuation in a band centered about 2 {omega}. The dependence of the falloff rate of net forward-scattered coda on {omega} and {sigma} is opposite to that of single back-scattered coda, and distinguishes the two types of scattering.




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