mathematical modeling

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.

The mathematical models for spatial analysis of GHG emission processes from pulp, paper, food products and beverages have been developed. Using geoinformation technology the estimates of GHG emissions in Poland at the level of production plants, as well as at the level of elementary areas 2 km  2 km in size have been obtained.

Mathematical models for the spatial analysis of the processes of greenhouse gases emission from the mining and transformation of coal in Poland were elaborated. The digital maps of mines’s and coking’s places were created. GIS technology, which makes it possible to form a geo-distributed database was improved and the necessary calculations were done.  The obtained assessment of greenhouse gas emissions was represented by the digital thematic map.

Purpose. The main aim of the research is creation of methods for a calculation of a terrain relief influence on the vertical electric sounding (VES) data using the boundary element technique and also presentation of applying these methods for VES to test examples and real mountain terrains. Methodology. An apparent resistivity is equal to true resistivity of a medium in a homogeneous half-space. In the case of a relief surface of the homogeneous medium the ratio of the apparent resistivity to the real resistivity determines the influence value on the electrical resistivity data.

The article reviews an actual problem of informative possibility of AVO-analysis based on synthetic model with close approximation to the real geological media. The data obtained by mathematical modeling of effective elastic and acoustic properties of granite with different structure of fractures demonstrate the possibility of AVO-analysis for exploration deconsolidated gas saturated and oil-saturated zones of basement.

Purpose. The aim of this work was to evaluate changes in the transfer characteristics of the seismic environment with additional loading of massive engineering structures. This analysis will help to more accurately assess the characteristics of sedimentary layer in the study of the transfer characteristics of environment under the engineering structures already at the design stage of construction. Methodology. Frequency characteristic of environment was obtained by solving the direct dynamic seismic problem.

The paper suggests a logical mathematical method for evaluation factors of developing water erosive processes. The basis of this the determination of priority relations through a set of alternatives in case of constructing a mathematical model of real situation.