mathematical modelling

Calculation of wave fields in a layered half-space with absorption based on the Thomson-Haskell method

This article is devoted to the development of calculation method of seismic waves on the free surface of a horizontally-layered half-space, which are perturbed by local sources. Previous obtained relations for scalar potentials of direct waves P, SV and SH from the simple force in a homogeneous environment are used for this purpose.

A technique for seismograms calculation in a layered half-space, as applied to seismic moment tensor inversions

In this article one developed the method (algorithm and program) for modelling three-way seismogram of arbitrary dipole point source in a vertically inhomogeneous half-space with the acquisitions. The algorithm and program were tested on the example of a real earthquake, registered at different epicentrum distance for the horizontally-layered models of the environment. Using the proposed methodology I attempted to estimate the seismic moment tensor for the earthquake of Crimea 16. 10. 1998 (Mw = 3.6).

Influence of near-surface geological inhomogeneities and methods of its relaxation at electrometric investigations

Using the mathematical modelling of electrometric observations over complexes of spin ellipsoids situated on various depths features of their anomalies are investigated on curves of electrical sounding and profiling and methods of effective relaxation of the influence of near-surface inhomogeneities are elaborated.

Mathematical modelling of the population dynamics of hunting mammals based on recurrent equation system

Regression analysis of the population dynamics of hunting mammals based on Khmilnytskyi forestry was made. Correlation analysis of the observations results between the populations of spotted deer and wisent, spotted deer and wild boar, lepus and fox was made. Modelling of the population dynamics of hunting mammals was done using Mathcad based on the system of recurrent logistics equations and the adequacy of the model by the Pearson's criteria was proved.