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Bulletin of the Seismological Society of America; February 1985; v. 75; no. 1; p. 263-269
© 1985 Seismological Society of America
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Surface motion of topographical irregularities for incident P, SV, and Rayleigh waves

FRANCISCO J. SÁNCHEZ-SESMA, MIGUEL A. BRAVO and ISMAEL HERRERA

INSTITUTO DE INGENIERÍA, UNAM, CD. UNIVERSITARIA, APDO, 70-472 COYOACÁN 04510 MÉXICO, D.F. México
INSTITUTO DE GEOFISÍCA, UNAM, APDO. POSTAL 21-524 04000, MÉXICO, D.F. México

Abstract

Trefftz's method is applied to solve the diffraction of P, SV, and Rayleigh waves by surface irregularities in an elastic, isotropic and homogeneous half-space. The diffracted wave fields are constructed with linear combinations of solutions which form c-complete or T-complete (T after Trefftz) families for the wave equation. Boundary conditions are satisfied in the least-squares sense on the irregularity and on a finite interval of the half-space surface. Excellent agreement was found with the solution by Wong (1982).




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