Kh. Kh. Imomnazarov, A. A. Mikhailov, K. S. Goziev, A. T. Omonov
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引用次数: 0
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.
期刊介绍：
Numerical Analysis and Applications is the translation of Russian periodical Sibirskii Zhurnal Vychislitel’noi Matematiki (Siberian Journal of Numerical Mathematics) published by the Siberian Branch of the Russian Academy of Sciences Publishing House since 1998.
The aim of this journal is to demonstrate, in concentrated form, to the Russian and International Mathematical Community the latest and most important investigations of Siberian numerical mathematicians in various scientific and engineering fields.
The journal deals with the following topics: Theory and practice of computational methods, mathematical physics, and other applied fields; Mathematical models of elasticity theory, hydrodynamics, gas dynamics, and geophysics; Parallelizing of algorithms; Models and methods of bioinformatics.
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