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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