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Bulletin of the Seismological Society of America; August 1983; v. 73; no. 4; p. 909-929
© 1983 Seismological Society of America
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On the Green's functions for a layered half-space. Part I

J. ENRIQUE LUCO and RANDY J. APSEL

DEPARTMENT OF APPLIED MECHANICS AND ENGINEERING SCIENCES UNIVERSITY OF CALIFORNIA AT SAN DIEGO, LA JOLLA, CALIFORNIA 92093
SIERRA GEOPHYSICS, INC., 15446 BELL-RED ROAD, SUITE 400, REDMOND, WASHINGTON 98052

Abstract

A method to calculate the dynamic three-dimensional response of a layered half-space to an arbitrary buried source is presented. The frequency-domain formulation is based on representing the complete response in terms of semi-infinite integrals with respect to wavenumber after expansion in a Fourier series with respect to azimuth. The integrands for each wavenumber and frequency are determined by an efficient factorization in terms of generalized transmission and reflection coefficients which are calculated by an iterative scheme. Time-domain results may be obtained by Fourier synthesis over frequency. The procedure is valid for all frequencies in the range of interest, is applicable to solid and fluid layers, and incorporates material attenuation.




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