Mathematical Modeling in Geophysics, № 11, 2006

Methods of active geophysical monitoring with the use of powerful seismic vibrators play an important role in the investigation of changes in the stressed-deformed state of a medium in seismic prone zones for problems of the seismic hazard prediction. During the last three decades, this scientific field has been actively...

Inverse problems of the plane waves scattering of inclined incidence of the SH type by an inhomogeneous half-space (in particular, by a transition layer) or by an inhomogeneous layer with a free boundary are considered. The characteristics of an inhomogeneous elastic medium, i.e., the wave propagation velocity υ(z) and the...

A scheme for the automated tsunami source reconstruction on the basis of deep-ocean tsunami wave recordings was developed. The initial water displacement in the source area is represented as a linear superposition of several "unit" sources. The initial value problem for the tsunami waves propagation from each of the unit...

It is shown that seismic prospecting as regards endogenous microseismic waves gives much promise, which is confirmed by graviprospecting practice. It was found that the spring gravimeter has some properties of a high-quality resonant microseismometer not taken into account earlier. These properties are used non-deliberately in highly effective empirical gravimethod...

Now about 700 volcanoes are believed to be active in the world. In this paper, both theoretical and experimental grounds of the monitoring system of living volcanoes with the use of powerful vibroseismic sources are considered. A method to calculate Green's function for inhomogeneous models of media with employment of...

This paper considers some aspects of modeling non-stationary electromagnetic fields for the 3D domains, including inhomogeneous conducting media. The source of such fields is an underground power line. To describe the fields in conducting media, a vector magnetic potential and a scalar electric potential are used, while a magnetic field...

The paper considers the estimation of sensitivity of the method of active monitoring of changes in the elastic characteristics in the Earth's interior crust zone. The model of the Earth's crust-mantle system in the form of a layer in a half-space with different velocity values of elastic waves is presented...

Unlike common approaches this paper does not rely on results for 3D problems. Degeneration of the operator on a part of the border requires the use of the corresponding weight functional spaces to analyze a variational statement to build a difference scheme and to prove the convergence. A result of...

In this paper, fundamental solutions of a wave operator in an inhomogeneous medium having the properties of advanced (anti-causal) type are analyzed. These are such functions that act for the future when the field is calculated at the present time. It is shown that the use of this anti-causal property...

The inversion problem to infer the initial sea perturbation is considered as a usual ill-posed problem of the hydrodynamic inversion of tsunami tide-gage records. The ill-posed inverse reconstruction problem is regularized by means of the least square inversion using the truncated SVD approach. Numerical experiments are presented for the model...