ИСТИНА

Numerical investigation of nonlinear three-dimensional acoustic wave propagation is finding increasing application in various problems where complicated combination of nonlinear and diffraction processes makes an analytical study very difficult. In the present report the computational analysis is applied to study high--intensity acoustic beam propagation in two-phase water--filled marine sediments. The mathematical model is based on the use of conservation schemes [1]. An approximate nonlinear wave equation is derived to describe the evolution of intense three--dimensional acoustic beam where the steepening of the wave front and shock formation are accompanied by self--focusing or spreading of the beam. The derived evolutionary equation is analysed numerically for various marine sediment physical parameters.