Excitation of seismoacoustic waves from a singular source acting on the boundary of a liquid layer and a poroelastic half-space
Kh.Kh. Imomnazarov1, A.A. Mikhailov1, K.S. Goziev2, A.T. Omonov3
1Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, Russia
2Fergana State University, Fergana, Uzbekistan
3Tashkent State University of Economics, Tashkent, Uzbekistan
Keywords: poroelasticity, seismoacoustic wave, Rayleigh wave, Stoneley wave, singular source
Abstract
The results of modeling the propagation of seismoacoustic waves based on the numerical solution of a direct dynamic problem for a porous medium are considered. The propagation of seismic waves in a porous medium saturated with fluid in the absence of energy loss is described by a system of differential equations of the first order in the 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 posed, the method of complexing the integral Laguerre transform in time with a finite-difference approximation in spatial coordinates is used. The solution algorithm used makes it possible to efficiently carry out calculations when modeling in a complexly constructed porous medium and to investigate the wave effects that arise in such media.
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