Excitation of Seismoacoustic Waves from a Singular Source Acting on the Boundary of a Liquid Layer and a Poroelastic Half-Space

Abstract

The results of seismoacoustic wave propagation modeling based on a numerical solution of a direct dynamic problem for a porous medium are considered. The propagation of seismic waves in a porous medium saturated with a fluid in the absence of energy loss is described by a system of first-order differential equations in a Cartesian coordinate system. The initial system is written as a hyperbolic system in terms of the velocities of the elastic host medium, the velocity of the saturating fluid, the components of the stress tensor, and the pressure of the fluid. For the numerical solution of the problem, a method of complexing the integral Laguerre transform in time with a finite-difference approximation in the spatial coordinates is used. The solution algorithm makes it possible to efficiently carry out calculations of modeling in a complexly constructed porous medium and investigate wave effects in such media.