Mathematical Modeling in Geophysics, № 8, 2003

The problem of inhomogeneity of the observation system in the Common Depth Point Method (CDPM) was considered by authors earlier. It results from the following. At the construction of the CDP seismograms by using the data obtained by the method of multiple overlaps (MMO), there appear the CDP configurations whose...

Basic principles and engineering solutions of the AXON`s user interface are described in this paper. The software AXON is a part of the mobile geophysical data gathering systems "Rosa-D", "Rosa-N", "VIRS-M" developed in the ICM&MG. AXON provides the automatic and manual (human supervised) modes and contains a kit of tools...

Modern technology of seismic survey is based on assumptions about the use of sounding signals distinguished by their characteristics. Thus, the experimentally obtained seismograms have a different form, which appears to be an objective hindrance when comparing and interpreting the obtained seismograms. An invariant seismic experiment is understood as seismic...

The automized technology of location of a different types of seismic sources - industrial explosions, vibrators, etc., - against the noise is proposed. The efficiency of the proposed approach is illustrated on a series of examples.

One of the possible statements of a boundary value problem for a system of equations of porous media is considered. The Carleman formula for the solution of this problem is obtained.

Formulas for the modified Darcy and Ohm laws are obtained. The diffusion coefficient is shown to be a function of the conductivity of the liquid, elastic porous body, and electrokinetic coefficient. A formula for the determination of porosity is obtained.

The process of radiation of seismic wave fields generated by powerful seismic vibrators is accompanied by a number of physical phenomena taking place in the vicinity of a source and having continuation at significant distances from it. The present paper is dealt with the analysis of these phenomena and the...

The paper deals with mathematical problems of physical phenomena, connected with generation, long-distance propagation, and interaction of the acoustic and the seismic waves from powerful vibrational sources operating on the interface of the elastic Earth-atmosphere. Three problems of mathematical modeling are considered: modeling of acoustic waves radiation of a vibrational...

In this paper, the process of tsunami wave propagation along the waveguide with flat sloping sides is studied using the wave-ray method. When propagating along the waveguide, a single tsunami wave transforms into the wave train. The expression for the propagation velocities of the fastest and slowest signals is defined...

In this paper, the formulas of digital recursive filters for the long-period deconvolution, which are successfully tested on real records of seismic events, are deduced.

The possibilities of obtaining numerical estimations of the time of wave propagation and parameters to describe the form of recorded wave impulses, with the use of a sequence of sessions of the monochromatic radiation on various frequencies are investigated. The monochromatic signals are invariant in their form when propagating in...

The method of filtration of monochromatic vibroseismic signals is offered. The proposed method is based on the application of the operation resulting in the compression of a frequency characteristic of the passband filter with the centre of compression assigned to a basic signal. The coefficient of compression of the frequency...

The statements of inverse problems of two types are considered within the framework of the scalar wave equation. The inverse problems include the reconstruction of sources of the wave field (the right-hand side of the equation) and the determination of the unknown coefficient (wave velocity). In spite of some difference...

The object of the research is a travel time curve (the second term is a hodograph) which is obtained by profiling. In this paper, an attempt is made to offer a model of the hodograph as well as some ways of its analysis.