mathematical modeling

Mathematical modeling of effective elastic and acoustic properties of granite reservoir rocks that has different pore space structure was done. The acoustic properties of granite porous-cracks reservoir were determined. The algorithm and software for solving the problem of joint inversion of seismic and gravimetric data based on Born’s approximation for the space-time Green's function with meansquare background velocity for the horizontally-layered medium has been developed and tested (on an example of the Prykerch shelf model).

The dependence of rheological properties fanerozoj rocks from one-directional tectonic forces and comprehensive pressure are investigated using the experimental data. The stress and strain fields are obtained based on the solution of two-dimensional problems of thermo-elasto-plasticity. These fields prove the dependence of comprehensive pressure and plasticity of the rocks from the levels of one-directional tectonic forces.

Questions of the mathematics modeling of local and global processes of Geodynamics are examined. The model of the process must take into account all its sources at the same time. This demand can be ensured by simultaneously calculating variations from all results of observations of geodynamic features. This task is solved by the determination and use of properties of covariance functions for fields of observation results.

The results of tectonomagnetic investigations in the region of Antarctic station Academic Vernadsky location are presented. For the period from 1998 up to 2002 at the tectonomagnetic profile Barchany-Rasmussen 3 cycles of repeat magnetic observations were carried out, that enabled to investigate the dynamics of a magnetic field in the region of archipelago Argentine islands. Anomalous monotonous ∆F field variations above -3.5 nT in the zone of tectonic lineament of submeridian strike were detected.

In the article the results of studies of stress-strained state of the crust in Chatkal`s mountain zone of west Tan-Shan are shown. In the first approximation the main and paleo-stresses for separate area of the region`s are estimated. For analysis of the stresses the methods of mathematical modeling and tectonophysical methods of stresses fields reconstructions and method of recovering of stresses by earthquakes mechanisms are used.

Purpose. The aim is to conduct mathematical modeling of disturbances and seismic wave field propagation in horizontally layered isotropic elastic half-space; summarizing the results obtained in the case of absorbing media; numerical implementation of the method of calculation of seismic waves in horizontally layered medium with absorption, perturbed point source in a simple force that depends on time; build sustainable programs and algorithms for numerical calculations for synthetic seismograms; and conducting numerical experiments for verification of results.

The research findings in the sphere of mathematical modeling of modern broadband wireless access have been revealed in the article. Detailed description of algorithm program realized in multi- antenna channel has been provided. The distinctive feature of this algorithm is taking into account the digital signal processing correlation properties of multi-antenna channel.

Comparative analysis of the results of natural frequencies and bending vibrations determination for the metal mast lifting device with the application of theoretical and experimental methods is conducted in this article. In particular, results of the mathematical modeling of the transverse vibrations of the mast with the application of S. s theory and matrix method of initial parameters are considered, as well as the results of the experimental research of mast vibrations of a real lifting device.