A Superposition Based Diffraction Technique to Study Site Effects in Earthquake Engineering

TitleA Superposition Based Diffraction Technique to Study Site Effects in Earthquake Engineering
Publication TypeJournal Article
Year of PublicationIn Press
AuthorsGomez, J, Jaramillo, J, Saenz, M, Vergara, J
Abstract

A method to study the response of surface topographies submitted to incident SH waves is presented. The method is based on the superposition of diffracted sources described in Jaramillo et al. (2013). Since the technique proceeds in the frequency domain in terms of the superposition of incident, reflected and diffracted waves, it has been termed like a superposition based diffraction approach. The final solution resulting from the superposition approach takes the form of a series of infinite terms, where each term corresponds to diffractions of in creasing order and of decreasing amplitude generated by the interactions between
the geometric singularities of the scatterer. A detailed, step by step algorithm to apply the method is presented with regard to the simple problem of scattering by a V -shaped canyon. In order to show the accuracy of the method we compare our time and frequency domain results with those obtained from a direct Green’s function approach. We show that fast solutions with an error of the order of 6.0% are obtained.