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Attenuation of elastic waves in a cracked, fluid-saturated solid

Published online by Cambridge University Press:  24 October 2008

A. K. Chatterjee ,
A. K. Mal ,
L. Knopoff  and
J. A. Hudson
A. K. Chatterjee
Affiliation:
University of California, Los Angeles and University of Cambridge, England
A. K. Mal
Affiliation:
University of California, Los Angeles and University of Cambridge, England
L. Knopoff
Affiliation:
University of California, Los Angeles and University of Cambridge, England
J. A. Hudson
Affiliation:
University of California, Los Angeles and University of Cambridge, England
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Abstract

The problem of the determination of the overall dynamic elastic moduli of an elastic solid permeated by uniformly distributed penny-shaped cracks is considered. The cracks are assumed to be filled with a viscoelastic material. The orientations of the cracks may be either parallel or perfectly random. The overall velocities as well as the specific attenuation coefficients of plane harmonic compressional and shear waves are calculated for low frequencies and dilute concentration of the cracks.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 88 , Issue 3 , November 1980 , pp. 547 - 561
Copyright
Copyright © Cambridge Philosophical Society 1980

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