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Scattering of surface waves modelled by the integral equation method
Authors:Laiyu Lu  Valerie Maupin  Rongsheng Zeng  Zhifeng Ding
Institution:Institute of Geophysics, China Earthquake Administration, PO Box 8116,;Beijing, 100081, P.R. China. E-mail: Department of Geosciences, University of Oslo, PO Box 1047,;Blindern, 0316 Oslo, Norway
Abstract:The integral equation method is used to model the propagation of surface waves in 3-D structures. The wavefield is represented by the Fredholm integral equation, and the scattered surface waves are calculated by solving the integral equation numerically. The integration of the Green's function elements is given analytically by treating the singularity of the Hankel function at   R = 0  , based on the proper expression of the Green's function and the addition theorem of the Hankel function. No far-field and Born approximation is made. We investigate the scattering of surface waves propagating in layered reference models imbedding a heterogeneity with different density, as well as Lamé constant contrasts, both in frequency and time domains, for incident plane waves and point sources.
Keywords:Surface waves and free oscillations  Computational seismology  Wave scattering and diffraction  Wave propagation
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