Abstract
A mathematical model of the temperature field was constructed and the temperature values for hypsometric levels of 1000, 2000 and 3000 m were calculated. for these hypsometric levels, as well as a map of the isothermal surface +50 ºC.
Working with this program involves the construction of digital models of the surface, ancillary operations with them and visualization of surfaces. The digital model of the surface has the form of values in the nodes of a rectangular regular grid, the dimension of which depends on the specific problem to be solved. The efficiency of the program of interpolation of two-dimensional functions is determined by the following aspects: a set of various interpolation methods; the ability of the researcher to control the various parameters of these methods; availability of means of an estimation of accuracy and reliability of the constructed surface; the opportunity to clarify the result based on the personal experience of the expert in view of various additional factors that could not be depicted as source data.
It is confirmed that the patterns of distribution of the natural thermal field in the upper part of the earth’s crust are due to a number of reasons, the main of which are the lithological composition of rocks, features of tectonic structure and the nature of groundwater movement. As a result of the analysis of graphic constructions, a sharp decrease in the subsoil warming towards the Carpathian folded structure was witnessed. It has been scientifically proven that the subsoil warming within the Mukachevo basin is much higher than within the Solotvyno basin. The confinement of geothermal anomalies to zones of intensive development of deep faults has been confirmed mathematically and experimentally. Based on this feature, it can be argued that the presence of positive geothermal anomalies is a criterion of gas bearing capacity for predicting deposits within local defiection objects.