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In-plane seismic response of inhomogeneous alluvial valleys with vertical gradients of velocities and constant Poisson ratio
Authors:Francisco Luzón  Francisco J Sánchez-Sesma  J Alfonso Pérez-Ruiz  Leonardo Ramírez-Guzmán  Andrés Pech
Institution:1. Departamento de Física Aplicada, Universidad de Almería, Cañada de San Urbano s/n, 04120-Almería, España, Spain;2. Instituto Andaluz de Geofísica y Prevención de Desastres Sísmicos, Universidad de Almería, Cañada de San Urbano s/n 04120-Almería, España, Spain;3. Instituto de Ingeniería, UNAM, Ciudad Universitaria, Coyoacán 04510, México DF, México;4. Department of Civil and Environmental Engineering, Carnegie Mellon University, Forbes 5000 Pittsburgh, PA 15217, USA;5. Centro Interdisciplinario de Investigación para el Desarrollo Integral Regional, CIIDIR-Oaxaca, Instituto Politécnico Nacional, México
Abstract:The propagation of seismic P and SV waves within inhomogeneous alluvial valleys has been investigated using the indirect boundary element method (IBEM). An improvement on the formulae published early, for the 2D Green's functions in an inhomogeneous medium is presented in this work. A modification has been done over these functions in view of its connection to the ray theory. An accuracy analysis validates these modified Green's functions computing the relative error in frequency domain for the SH case, and with a quantitative analysis obtaining envelope and phase misfits of the solution in time domain, for the P–SV case.
Keywords:Boundary element method  Green's function  Vertical heterogeneity  Sedimentary basins  Soil dynamics  Seismology
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