NUMERICAL SIMULATION OF WAVE PROPAGATION IN MIXED POROUS MEDIA USING FINITE ELEMENT METHOD

In this paper we research the problem of acoustics in porous media in three separated subdomains. In each region assumes different physical properties: geometry of the pore, viscosity of fluid places in the middle of the two elastic domains. In this task, we first consider the solution of differential equations. A mathematical model of these physical phenomena described by the initial boundary-value problems for complex systems of differential equations in partial derivatives. Then these equations were solved using two numerical methods: finite element method (FEM) and the traditional finite difference method (FDM). Solutions allows to analyse wave propagation phenomena in porous media. The polynomial functions were used as the interpolation basis-test functions in order to get weak solution for the finite element method. The numerical results of our simulation illustrate the method is obviously effective, especially if we want research physical problems with complex domains in 2D and 3D spaces.