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Synthetic seismograms for SH waves in layered anelastic medium by asymptotic ray theory

INSTITUTE OF EARTH AND PLANETARY PHYSICS DEPARTMENT OF PHYSICS UNIVERSITY OF ALBERTA, EDMONTON, ALBERTA Canada

Abstract

The linear theory of viscoelasticity is used to study the effects of anelasticity on seismic SH body waves propagating through a layered homogeneous isotropic medium. We present a solution of the wave propagation problem in terms of asymptotic ray theory. The geometrical spreading factor for an arbitrary ray generated by a point source close to the surface of a plane-layered anelastic medium is calculated and is found to vary with the direction of maximum attenuation of the initial ray segment emanating from the source. Combining anelastic reflection and transmission coefficients and the geometrical spreading factor, ray-synthetic seismograms for SH body waves are computed for a plane-layered crustal model in both the elastic and anelastic cases. The seismograms for the anelastic cases exhibit amplitude attenuation and waveform spreading. The amplitudes and phases of the arrivals are also seen to depend significantly on the direction of maximum attenuation of the initial ray segment. This is primarily due to the nature of the reflection and transmission coefficients.

Footnotes

^* Present address: Amoco Canada, 444 7th Avenue S.W., Calgary, Alberta T2P OY2.

This article has been cited by other articles:

				R. D. BORCHERDT and L. WENNERBERG General P, type-I S, and type-II S waves in anelastic solids; inhomogeneous wave fields in low-loss solids Bulletin of the Seismological Society of America, December 1, 1985; 75(6): 1729 - 1763. [Abstract] [PDF]

				E. S. KREBES and D. J. HEARN On the geometrical spreading of viscoelastic waves Bulletin of the Seismological Society of America, April 1, 1985; 75(2): 391 - 396. [Abstract] [PDF]

				E. S. KREBES and F. HRON Comparison of synthetic seismograms for anelastic media by asymptotic ray theory and the Thomson-Haskell method Bulletin of the Seismological Society of America, October 1, 1981; 71(5): 1463 - 1468. [Abstract] [PDF]