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Bulletin of the Seismological Society of America; August 1979; v. 69; no. 4; p. 1107-1120
© 1979 Seismological Society of America
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Ground motion on alluvial valleys under incident plane SH waves

FRANCISCO J. SÁNCHEZ-SESMA and JORGE A. ESQUIVEL

INSTITUTO DE INGENIERIA UNIVERSIDAD NACIONAL AUTONOMA DE MEXICO CIUDAD UNIVERSITARIA, MEXICO 20, D.F. Mexico

Abstract

A method is presented to compute the scattering and diffraction of harmonic SH waves by an arbitrarily shaped alluvial valley. The problem is formulated in terms of a system of Fredholm integral equations of the first kind with the integration paths outside the boundary. A discretization scheme using line source solutions is employed and the boundary conditions are satisfied in the least-squares sense. Numerical results for amplification spectra for different geometries are presented. Agreement with known analytical solutions is excellent.




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