Analytic approximation to the scattering of antiplane shear waves by free surfaces of arbitrary shape via superposition of incident, reflected and diffracted rays

dc.citation.journalTitleGeophysical Journal International
dc.contributor.authorJaramillo, Juan
dc.contributor.authorGomez, Juan
dc.contributor.authorExterno - Escuela - Ciencias
dc.contributor.authorVergara, Juan
dc.contributor.researchgroupMecánica Aplicadaspa
dc.date.accessioned2021-04-16T20:10:36Z
dc.date.available2021-04-16T20:10:36Z
dc.date.issued2013-03-01
dc.description.abstractThe scattering induced by surface topographies of arbitrary shapes, submitted to horizontally polarized shear waves (SH) is studied analytically. In particular, we propose an analysis technique based on a representation of the scattered field like the superposition of incident, reflected and diffracted rays. The diffraction contribution is the result of the interaction of the incident and reflectedwaves, with the geometric singularities present in the surface topography. This splitting of the solution into different terms, makes the difference between our method and alternative numerical/analytical approaches, where the complete field is described by a single term. The contribution from the incident and reflected fields is considered using standard techniques, while the diffracted field is obtained using the idea of a ray as was introduced by the geometrical theory of diffraction. Our final solution however, is an approximation in the sense that, surface-diffracted rays are neglected while we retain the contribution from corner-diffracted rays and its further diffraction. These surface rays are only present when the problem has smooth boundaries combined with shadow zones, which is far from being the typical scenario in far-field earthquake engineering. The proposed technique was tested in the study of a combined hill-canyon topography and the results were compared with those of a boundary element algorithm. After considering only secondary sources of diffraction, a difference of 0.09 per cent (with respect to the incident field amplitude) was observed. The proposed analysis technique can be used in the interpretation of numerical and experimental results and in the preliminary prediction of the response in complex topographies. © The Authors 2012. Published by Oxford University Press on behalf of The Royal Astronomical Society.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1316
dc.identifier.doi10.1093/gji/ggs061
dc.identifier.issn1365246X
dc.identifier.issn221120spa
dc.identifier.otherWOS;000315051300021
dc.identifier.otherSCOPUS;2-s2.0-84876834151
dc.identifier.urihttp://hdl.handle.net/10784/29166
dc.language.isoengeng
dc.publisherOXFORD UNIV PRESS
dc.publisher.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84876834151&doi=10.1093%2fgji%2fggs061&partnerID=40&md5=08ddad202dccf151e55faf2182dd5f78
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0956-540X
dc.sourceGeophysical Journal International
dc.subject.keywordAnalytic approximationeng
dc.subject.keywordComplex topographieseng
dc.subject.keywordEarthquake engineeringeng
dc.subject.keywordGeometric singularityeng
dc.subject.keywordGeometrical theory of diffractioneng
dc.subject.keywordNumerical approximations and analysiseng
dc.subject.keywordNumerical solutioneng
dc.subject.keywordSite effectseng
dc.subject.keywordCivil engineeringeng
dc.subject.keywordCrystallographyeng
dc.subject.keywordShear waveseng
dc.subject.keywordSurface topographyeng
dc.subject.keywordDiffractioneng
dc.subject.keywordalgorithmeng
dc.subject.keywordnumerical methodeng
dc.subject.keywordS-waveeng
dc.subject.keywordsite effecteng
dc.subject.keywordtopographyeng
dc.subject.keywordwave diffractioneng
dc.subject.keywordwave reflectioneng
dc.subject.keywordwave scatteringeng
dc.titleAnalytic approximation to the scattering of antiplane shear waves by free surfaces of arbitrary shape via superposition of incident, reflected and diffracted rayseng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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