The direct boundary element method: 2D site effects assessment on laterally varying layered media (methodology)

作者: Sonia Álvarez-Rubio , Francisco J. Sánchez-Sesma , Juan José Benito , Enrique Alarcón

DOI: 10.1016/J.SOILDYN.2003.09.003

关键词: Harmonic (mathematics)DiscretizationTransfer functionSeismic waveMathematical analysisGeologyFundamental solutionMineralogyAttenuationBoundary element methodMathematical model

摘要: The Direct Boundary Element Method (DBEM) is presented to solve the elastodynamic field equations in 2D, and a complete comprehensive implementation given. DBEM useful approach obtain reliable numerical estimates of site effects on seismic ground motion due irregular geological configurations, both layering topography. method based discretization classical Somigliana's representation equation which stems from reciprocity theorem. This given terms Green's function full-space harmonic steady-state fundamental solution. formulation permits treatment viscoelastic media, therefore models with intrinsic attenuation can be examined. By means this approach, calculation 2D scattering waves, incidence P SV waves topographical profiles performed. Sites such as, canyons, mountains valleys multilayered media are computed test technique. obtained transfer functions show excellent agreement already published results.

参考文章(28)
Francisco José Sánchez Sesma, R SÍSMICA Benites, Jacobo Bielak, THE ASSESSMENT OF STRONG GROUND MOTION: WHAT LIES AHEAD? Revista de Ingeniería Sísmica. ,(1997) , 10.18867/RIS.55.250
Julieta Antonio, Antonio Tadeu, 2.5D Green's Functions for Elastodynamic Problems in Layered Acoustic and Elastic Formations Cmes-computer Modeling in Engineering & Sciences. ,vol. 2, pp. 477- 496 ,(2001) , 10.3970/CMES.2001.002.477
José Cañas, Federico París, Boundary Element Method: Fundamentals and Applications ,(1997)
Carlos Alberto Brebbia, Progress in Boundary Element Methods ,(1981)
Jose Dominguez, Boundary elements in dynamics ,(1993)
Apostolos S. Papageorgiou, Duoli Pei, A Discrete Wavenumber Boundary Element Method for study of the 3‐D response 2‐D scatterers Earthquake Engineering & Structural Dynamics. ,vol. 27, pp. 619- 638 ,(1998) , 10.1002/(SICI)1096-9845(199806)27:6<619::AID-EQE746>3.0.CO;2-I
Konstantia Makra, Dimitrios Raptakis, Francisco J. Chávez-García, Kyriazis Pitilakis, Site Effects and Design Provisions: The Case of Euroseistest Earthquake Microzoning. ,vol. 158, pp. 2349- 2367 ,(2002) , 10.1007/978-3-0348-8177-7_5
António J. B. Tadeu, Eduardo Kausel, Green's Functions for Two-and-a-Half-Dimensional Elastodynamic Problems Journal of Engineering Mechanics-asce. ,vol. 126, pp. 1093- 1097 ,(2000) , 10.1061/(ASCE)0733-9399(2000)126:10(1093)
Francisco J. Sánchez-Sesma, Michel Campillo, Topographic effects for incident P, SV and Rayleigh waves Tectonophysics. ,vol. 218, pp. 113- 125 ,(1993) , 10.1016/0040-1951(93)90263-J