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.
The problem of optimal processing tasks in the nodes of a distributed information system on the basis of a mathematical model belonging to a class of two-clustering problems, for which an optimization problem with a fractional linear target function is formulated, was investigated.
Operational control of quality vegetables can be made using the method immitance control their electrical parameters.Vegetables – are objects of non-electric nature, and their juices – this electrolyte solutions, where there are free charged particles – ions, and it immitance method is based on measuring the electrical conductivity control objects. Therefore, research is relevant electrical parameters vegetable juices as well as development of electric and mathematical models immitance contact transducer.
Algorithms for the mathematical modeling of the direct current electrical prospecting in the 3D complex boundary geomedia are presented. Methods of normalization VES data for the interpretation accounting any surface relief are suggested. Effective algorithms of the direct problem solution for a horizontal layered halfspace are chosen. On the basis of the above the software for electrical prospecting modeling and VES data interpretation is developed.
Simulation model of the mechanical component of the fully differential capacitive MEMS accelerometer has been developed using MATLAB/Simulink environment. The model allows to simulate movement of the proof mass, capacitance changes of the sense capacitors of the sensitive element, sensitivity of the sensor depending on the applied force of acceleration, and to perform the transient analysis of the integrated device at the system level of computeraided design.
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.
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.