Acoustic wave propagation in non-homogeneous media
Palavras-chave:
Acoustic Wave, Time Domain, Unbounded Domain, Numerical Stability Condition, Ricker-pressure source.Resumo
The propagation of acoustic waves is a subject of great interest in seismic prospecting for oil, where
the medium of wave propagation is not homogeneous. In this work, a linear model for the acoustic P-wave
propagation in a non-homogeneous media is developed. Starting from the nonlinear equations that governs the
fluid motion of a compressible fluid with a point mass source we obtain the linear equation for the acoustic P-
wave propagation in heterogeneous medium. This second order partial differential equation is solved
numerically by the explicit finite difference method. Two types of boundary conditions were implemented in the
numerical model. One of this is pure reflection and the other is of the type "free radiation". The numerical
method is second order in the time and space. The time step satisfies the Courant-Friedrichs-Levy (CFL)
restriction. A numerical code is written in Fortran language and simulations with a source term of the type
"Mexican hat" were performed. The numerical results are compared with those found in the literature and a good
agreement was obtained.
