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Surface waves in multilayered elastic media. I. Rayleigh and Love waves from buried sources in a multilayered elastic half-space

Harkrider, David G. (1964) Surface waves in multilayered elastic media. I. Rayleigh and Love waves from buried sources in a multilayered elastic half-space. Bulletin of the Seismological Society of America, 54 (2). pp. 627-629. ISSN 0037-1106.

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A matrix formulation is used to derive integral expressions for the time transformed displacement fields produced by simple sources at any depth in a multilayered elastic isotropic solid half-space. The integrals are evaluated for their residue contribution to obtain surface wave displacements in the frequency domain. The solutions are then generalized to include the effect of a surface liquid layer. The theory includes the effect of layering and source depth for the following: (1) Rayleigh waves from an explosive source, (2) Rayleigh waves from a vertical point force, (3) Rayleigh and Love waves from a vertical strike slip fault model. The latter source also includes the effect of fault dimensions and rupture velocity. From these results we are able to show certain reciprocity relations for surface waves which had been previously proved for the total displacement field. The theory presented here lays the ground work for later papers in which theoretical seismograms are compared with observations in both the time and frequency domain.

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Additional Information:Copyright © 1964, by the Seismological Society of America. Manuscript received November 11, 1963. This research was supported by Grant No. AF-AFOSR-25-63 of the Air Force Office of Scientific Research as part of the Advanced Research Projects Agency Project VELA. The author is grateful to Professor Frank Press for his support and encouragement throughout this study. Many valuable discussions were held with Drs. D. L. Anderson, R. A. Phinney, and C. B. Archambeau. Their support is acknowledged with gratitude.
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Air Force Office of Scientific Research (AFOSR)AF-AFOSR-25-63
Advanced Research Projects Agency (ARPA), project VelaUNSPECIFIED
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Caltech Division of Geological Sciences1218
Issue or Number:2
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:47835
Deposited By: George Porter
Deposited On:01 Aug 2014 22:22
Last Modified:03 Oct 2019 06:57

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