# Институт вычислительной математики

и математической геофизики

# The International Conference on Computational Mathematics

ICCM-2004

June, 21-25, 2004
Novosibirsk, Academgorodok

## Abstracts

*Numerical solution of differential and integral equations*

## Direct and inverse dynamic problems for a system of equations of continual theory of filtration

**Institute of computational mathematics and mathematical geophysics SB RAS,**

Nikolaev Institute of Inorganic Chemistry SB RAS (Novosibirsk),

Institute of Nuclear Physics,

Uzbek Academy of Sciences,

Tashkent,

Uzbekistan
A solution to a system of equations of elastic-porous media for a homogeneous space in the time and frequency domains for the case of a point source is obtained. Ray representations of waves of various
types in an inhomogeneous elastic-porous medium are obtained. Inverse problems of determining the parameters of the medium and seismic moment tensor are considered. This is done by using the information about: 1) component parts of the displacement vectors of $P_{1}$ -- and $S$ -- waves at a fixed point of space;
2) pressure measured at six fixed points of space for all times.
The noise stability of the solutions to the inverse problems considered
is investigated numerically with the use of the method of critical components.

*Note. Abstracts are published in author's edition*

© 1996-2000, Siberian Branch of Russian Academy of Sciences, Novosibirsk

Last update: 06-Jul-2012 (11:52:06)