A boundary method is applied to study the response of a two-dimensional horizontally stratified deposit of arbitrary shape under the incidence of SH waves. The procedure combines the line source method with a discrete wavenumber representation for the stratified part in terms of propagator matrix. Comparison of results for a circular, nonhomogeneous deposit with those obtained with the finite element method shows excellent agreement . The response of a basin with two strata is analyzed. Variation of results as a function of incidence angle is presented for several frequencies. Transfer functions at several points on the surface of the deposit are obtained for vertical incidence and comparison with results from a one-dimensional analysis show significant differences. Time response for an incident Ricker wavelet clearly shows important effects due to lateral heterogeneity .
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Bravo et al. (1988) studied this question.
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