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Near shore seismic movements induced by seaquakes using the boundary element method
Authors:Alejandro Rodríguez-Castellanos  Manuel Carbajal-Romero  Norberto Flores-Guzmán  J Efraín Rodríguez-Sánchez  Andriy Kryvko
Institution:1.Instituto Mexicano del Petróleo,México,México;2.Escuela Superior de Ingeniería Mecánica y Eléctrica, Instituto Politécnico Nacional,UPALM,México,México;3.Escuela Superior de Ingeniería Mecánica y Eléctrica, Instituto Politécnico Nacional,Unidad Profesional Azcapotzalco,México,México;4.Centro de Investigación en Matemáticas,Guanajuato,México
Abstract:This study quantifies seismic amplifications in near-shore arising from seaquakes. Within the Boundary Element Method, boundary elements are used to irradiate waves and force densities obtained for each element. Huygens´ Principle is implemented since the diffracted waves are constructed at the boundary from which they are radiated, which is equivalent to Somigliana´s theorem. Application of boundary conditions leads to a system of integral equations of the Fredholm type of second kind and zero order. Several numerical configurations are analyzed: The first is used to verify the present formulation with ideal sea floor configurations to estimate seismic amplifications. With the formulation verified, simple slope configurations are studied to estimate spectra of seismic motions. It is found that P-waves can produce seismic amplifications from 1.2 to 3.9 times the amplitude of the incident wave. SV-waves can generate seismic amplifications up to 4.5 times the incident wave. Another relevant finding is that the highest amplifications are at the shore compared to the ones at the sea floor.
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