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

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, ref...

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Main Authors: Juan Gomez, Juan Jaramillo, Mario Saenz, Juan Vergara
Format: Article
Language:English
Published: Wiley 2016-01-01
Series:International Journal of Geophysics
Online Access:http://dx.doi.org/10.1155/2016/7131867
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author Juan Gomez
Juan Jaramillo
Mario Saenz
Juan Vergara
author_facet Juan Gomez
Juan Jaramillo
Mario Saenz
Juan Vergara
author_sort Juan Gomez
collection DOAJ
description 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 increasing 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.
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spelling doaj-art-c26a5a2e935641ffa21e1efff37da7a12025-02-03T05:50:50ZengWileyInternational Journal of Geophysics1687-885X1687-88682016-01-01201610.1155/2016/71318677131867A Superposition Based Diffraction Technique to Study Site Effects in Earthquake EngineeringJuan Gomez0Juan Jaramillo1Mario Saenz2Juan Vergara3Departamento de Ingeniería Civil, Universidad EAFIT, Medellín, ColombiaDepartamento de Ingeniería Civil, Universidad EAFIT, Medellín, ColombiaDepartamento de Ingeniería Civil, Universidad EAFIT, Medellín, ColombiaDepartamento de Ingeniería Civil, Universidad EAFIT, Medellín, ColombiaA 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 increasing 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.http://dx.doi.org/10.1155/2016/7131867
spellingShingle Juan Gomez
Juan Jaramillo
Mario Saenz
Juan Vergara
A Superposition Based Diffraction Technique to Study Site Effects in Earthquake Engineering
International Journal of Geophysics
title A Superposition Based Diffraction Technique to Study Site Effects in Earthquake Engineering
title_full A Superposition Based Diffraction Technique to Study Site Effects in Earthquake Engineering
title_fullStr A Superposition Based Diffraction Technique to Study Site Effects in Earthquake Engineering
title_full_unstemmed A Superposition Based Diffraction Technique to Study Site Effects in Earthquake Engineering
title_short A Superposition Based Diffraction Technique to Study Site Effects in Earthquake Engineering
title_sort superposition based diffraction technique to study site effects in earthquake engineering
url http://dx.doi.org/10.1155/2016/7131867
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