PROPAGACIÓN DE ONDAS EN UN MEDIO ESTRATIFICADO, UTILIZANDO EL MÉTODO DE DIFERENCIAS FINITAS.

Abstract

Is study the propagation of elastic waves in a stratified medium in a configuration 2D. The waves P and S are produced by a source in an medium elastic solid. There are realized the solutions of the equations of elasticity, the equations of Navier, as well as the solutions of the wave equations in terms of potential, and analysis of reflection and transmission of plane waves P and S. The solution of the equations of motion is obtained vectorially and in time domain, using the pseudo-spectral method of finite differences. The formulation is based on the constitutive and equilibrium equations in terms of speed and efforts to reduce the degree of differential equations In the pseudo-espetral method the derivatives with respect to the spatial variables are performed with the formalism of the fast Fourier transform. With the optimize objective the accuracy of these derivatives, staggered grids are used. In the present work focuses the study of wave propagation solid-liquid stratified media using the P and S waves modeled by the constitutive equations and the finite difference method. It was the simulation of two cases: For a system in a stratified medium solid-solid and liquid-solid symmetrical. To establish the calculations, the results were compared with solutions by means of graphs. The numerical experiments show a great stability of finite difference method, for what they appear and discuss possible extensions to more complex cases of geometry and materials.