Francisco J. Sánchez-Sesma, Jorge A. Esquivel; Ground motion on alluvial valleys under incident plane SH waves. Bulletin of the Seismological Society of America ; 69 (4): 1107–1120. doi:
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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.