Analysis of the role of diffraction in topographic site effects using boundary element techniques

(整期优先)网络出版时间:2013-05-15
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Theroleplayedbythediffractionfieldontheproblemofseismicsiteeffectsisstudied.ForthatpurposewesolveandanalyzesimplescatteringproblemsunderPandSVin-planewaveassumptions,usingtwowellknowndirectboundary-element-basednumericalmethods.Afterestablishingthedifferencebetweenscatteredanddiffractedmotions,andintroducingtheconceptofartificiousandphysicallybasedincomingfields,weobtaintheamplitudeoftheFourierspectraforthediffractedpartoftheresponse:thisisachievedafterestablishingtheconnectionbetweenthespatialdistributionofthetransferfunctionoverthestudiedsimpletopographiesandthediffractedfield.Fromthenumericalsimulationsitisobservedthatthisdiffractedpartoftheresponseisresponsiblefortheamplificationofthesurfacegroundmotionsduetothegeometriceffect.Furthermore,itisalsofoundthatthediffractionfieldsetsinafingerprintofthetopographiceffectinthetotalgroundmotions.Theseconclusionsarefurthersupportedbyobservationsinthetime-domainintermsofsnapshotsofthepropagationpatternsoverthecompletecomputationalmodel.Inthissensethegeometricsingularitiesareclearlyidentifiedassourcesofdiffractionandfortheconsideredrangeofdimensionlessfrequenciesitisevidentthatlargeramplificationsareobtainedforthegeometriescontainingalargernumberofdiffractionsourcesthusresultinginastrongertopographiceffect.Theneedforclosed-formsolutionsofcanonicalproblemstoconstructarobustanalysismethodbasedonthediffractionfieldisidentified.