Mathematical Modeling in Geophysics, № 18, 2015

We consider a one-dimensional direct initial-boundary value problem for a nonlinear system of the poroelasticity equations. The theorem of local solvability of the classical solution to the problem is proved. The Frechet differentiability of the problem operator is proved, too.

We consider a one-dimensional inverse boundary value problem for a nonlinear system of the poroelasticity equations. We obtain estimates for the conditional stability of the inverse problem.

The main object of the study in Geophysics is multi-dimensional non-linear systems, varying over a wide time range from a split second to geological epochs. The present-day mathematics does not allow a sufficiently strict description of such systems, so the problem of reliable long-term earthquake prediction is still unsolvable. The...

The grid-switching algorithm for the tsunami propagation computation from the initial source to the coastline that uses scale switching has been developed. Computations are carried out on a sequence of grids with various resolutions where one is embedded into another. Tsunami wave parameters are transferred from a larger domain to...

We study the first Darboux problem for hyperbolic equations of second order with memory and consider the solvability of this problem.

In the geo-information and geological studies of the last two years we has accumulated a sufficient number of geophysical, morphological, mineralogical and petrographic materials to refer the Ladoga structure to the category of the "proven" astrobleme. The identification within the Ladoga structure of the volcano-plutonic complex, which is syngenetic to...

This paper is aimed to the improvement of the quality of the data of vibro-seismic research under the condition of the wave form preservation of a sounding signal. For this purpose, it is offered to use the order statistics filters. As seismic data are mostly harmonic or frequencymodulated (or sweep)...