Mathematical Modeling in Geophysics, № 2, 1996

It is proposed to increase the accuracy in the determination of the seismic sources’ coordinates and power, taking into account quantitatively the kinematic and dynamic anomalies of the seismic field, associated with a considerable spatial non-homogeneity of the Earth along the traces of the waves’ passage and in the places...

This paper describes a numerical method for the solution of the inverse problem of acoustics in the case of recording of the full wave field at the free surface. The solution is sought by means of minimization of the data misfit functional which is a mean square deviation of the...

The given paper considers the problem of determination of the right hand side of the high-order parabolic equation with the variable coefficients.

A vibroseismic method of studying the Earth’s deep structure has been most intensively used in the last fifteen years. Much progress has been made toward the creation of powerful seismic vibrators with precise amplitude- frequency-phase characteristics as well as toward methods and instruments for measuring the wave field parameters in...

When solving the multi-dimensional problems of theory of the seismic wave propagation, the numerical-analytical method, based on the combination of finite integral transforms with the finite-difference method is gaining in importance in the last few years. In this paper, instead of the finite difference method with respect to one spatial...

Geographic information systems (GIS) of different kinds are now widely used for numerical modeling of geophysical processes. The main idea of GIS is visualization of some kind of objects and results of mathematical modeling on a geographic map which if drawn on the screen of computer. In majority GIS during...

The induction seismomagnetic effects arising in the seismic wave motion in the Ktant Earth’s magnetic field are numerically studied in this artical. The phenomenon is described as a simultaneous solution of the system of elastic equations quasistationary Maxwell’s equations with displacement velocity components, solving the problem we use numerical-analitical algorithm...

Inverse problem for wave equation with instant, lagging source on segment of boundary y=0 is considered. The problem of determination of sound velocity, smooth depending of both spacing coordinates by response of medium on the same segment, is posed. In regularizating statement the uniqueness of problem is proved with assumption...

The article is devoted to methodological aspects of constructions of expert system to geophysical data processing. Expert system will provide a researcher-geophysicist with the powerful software tools that increase efficiency of his work while solving, prediction, analysis and interpretation of geophysical objects according to the number of features.

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The paper contains the proof of theorem estimating the condition number of matrix after discretization of the integral equation of the first kind with logarithmic singularity on the closed curve by the collocation method with piecewise-linear approximation of unknown function. It is based on a new approach using convex properties...