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Bulletin of the Seismological Society of America; February 1989; v. 79; no. 1; p. 101-112
© 1989 Seismological Society of America
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Diffraction of elastic waves by three-dimensional surface irregularities. Part II

FRANCISCO J. SÁNCHEZ-SESMA, L. EDUARDO PÉREZ-ROCHA and SERGIO CHÁVEZ-PÉREZ

INSTITUTO DE INGENIERÍA, UNAM CD. UNIVERSITARIA, APDO. 70-472, COYOACÁN 04510, MÉXICO, D. F. México
FACULTAD DE INGENIERÍA, UNAM DIVISIÓN DE ESTUDIOS DE POSGRADO CIRCUITO EXTERIOR, CD. UNIVERSITARIA, APDO. 70-256, COYOACÁN 04510, MÉXICO, D. F. México
CENTRO DE INVESTIGACIÓN SÍSMICA, A. C. CARRETERA AL AJUSCO 203 COL. HÉROES DE PADIERNA, TLALPAN 14200, MÉXICO, D. F. México

Abstract

A boundary method is applied to study the seismic response of axisymmetric three-dimensional alluvial valleys on the surface of an elastic half-space. The excitation is given by incident plane waves. The method makes use of the completeness of a family of wave functions in order to construct the scattered and refracted fields. An azimuthal decomposition allows to "split" the problem in several two-dimensional problems, one for each azimuthal number. Boundary conditions are satisfied in the least-squares sense. Numerical results are reported in time domain as an extension of previous work.




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