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Seismic response of shallow alluvial valleys: The use of simplified models

Centro de Investigación Sísmica, A.C. Carretera al Ajusco 203, Col. H. de Padierna, Tlalpan 14200 México D.F., México
Instituto de Ingeniería, UNAM Cd. Universitaria, Apdo. 70-472, Coyoacán 04510 México D.F., México

Abstract

A method is proposed to approximately compute the seismic response of shallow three-dimensional (3D) alluvial valleys. It is based on the exact solution for a simple configuration. Namely, the antiplane response of a rectangular deposit with a moving rigid base. In such a solution, which is used as a framework for our approximations, the spectral signature of locally generated surface waves is explicit. Thus, an approximate expression is constructed to separately account for one-dimensional (1D) response and lateral effects. Results are presented for two- and three-dimensional cases. Comparisons are provided with rigorous solutions as well. Our formulas allow for fast computations.