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The attenuation of surface waves by scattering

Published online by Cambridge University Press:  24 October 2008

J. A. Hudson
J. A. Hudson
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge
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Abstract

Small variations in the elastic parameters of a solid medium give rise to scattering of elastic waves and hence to a reduction in their amplitudes. The attenuation coefficients associated with this process have been calculated for surface waves.

Expressions have been derived for waves with wavelengths long compared with the mean wavelength of the variation of the elastic parameters in space. The attenuation coefficients were found to be the same as if the attenuating mechanism were a particular type of visco-elasticity.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 1 , January 1970 , pp. 215 - 223
Copyright
Copyright © Cambridge Philosophical Society 1970

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References

REFERENCES

(1)Anderson, D. L. and Archambeau, C. B. J.Geophys. Res. 69 (1964), 2071.CrossRefGoogle Scholar
(2)Anderson, D. L., Ben-Menahem, A. and Archambeau, C. B. J.Geophys. Res. 70 (1965), 1441.CrossRefGoogle Scholar
(3)Knopoff, L. and Hudson, J. A. J.Acoust. Soc. Amer. 36 (1964), 338.CrossRefGoogle Scholar
(4)Hudson, J. A.Quart. J. Mech. Appl. Math. 21 (1968), 487.CrossRefGoogle Scholar
(5)Takeuchi, H., Dorman, J. and Saito, M. J.Geophys. Res. 69 (1964), 3429.CrossRefGoogle Scholar