Согласно уравнению тяготения Эйнштейна, в отсутствие электромагнитного поля метрический тензор gy , связан с тензором массы Т соотношением ...
The theoretical calculation of the movement of the permafrost boundary inside the soil under the influence of temperature changes on the surface is of great scientific importance in permafrost science: a whole range of issues of the dynamics of the permafrost process depends on its solution, including the correct scientific analysis of the current state of the permafrost zone, its changes (degradation and onset) under the influence of climate change, the correct definition of the role and place of the thermal factor in a number of geological and other factors of permafrost formation, etc. However, this calculation can also have important practical significance for a number of problems of industrial development of the permafrost area, for example, for establishing a rational thermal regime for the currently empirically used methods of artificial thawing of frozen deposits, for industrial construction in the permafrost zone, etc. The problem of permafrost penetration into the soil or permafrost thawing is similar to the problem of propagation of the solidification boundary into the molten mass. Unfortunately, the latter can be solved exactly only under stationary conditions, with the initial temperature of the liquid being the same everywhere and a constant temperature given on the surface, taken below the freezing point.
During summer ventilation of some workings with low temperatures (acquired, for example, during the winter cooling period), warm atmospheric air, getting into the working, enters into heat exchange with its walls and, cooling, becomes saturated. Therefore, condensed moisture falls on the walls of the working. Its fallout begins from the place where the air flow temperature becomes equal to the saturation temperature. From the same place of the working, where the flow temperature reaches 0°, icing of moisture occurs, which complicates the operation of the working. It is necessary to calculate: 1) icing and condensation thresholds, 2) the thickness of the icing layer, the distribution of temperature along the working as a function of time, air flow velocity, transverse dimensions of the working, temperature and humidity of the atmospheric air.