Mathematical simulation of acoustic waves propagation through forest layer onto ground

Abstract

In this paper, aspects of the numerical modeling of acoustic waves propagation in 2D inhomogeneous model "atmosphere-forest layer-ground" are considered. The linear damping function was introduced into the main acoustic equations. This function characterizes the energy dissipation of the acoustic waves propagating in the forest layer. The problem of the interaction of acoustic waves falling onto the ground covered by the forest layer and seismic waves arising in the ground are considered. The influence of the forest layer on the amplitudes of acoustic waves and seismic waves excited in the ground was investigated. An influence of damping coefficient on the rate of acoustic oscillations attenuation in the forest was estimated. The algorithm and the program for calculation the acoustic pressure levels in different media using the wave equation for the atmosphere, Euler's gas dynamics equations for forest, and the elasticity equation for the ground have been developed and implemented. The results of numerical experiments as instantaneous snapshots of the wave field were presented.