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Earth’s Cryosphere

2023 year, number 4

ANALYTICAL SOLUTION OF THE PROBLEM OF OPERATION OF DEEP SEASONAL COOLING DEVICES TO ASSESS THEIR EFFICIENCY

G.V. Anikin1, A.A. Ishkov2,3
1Earth Cryosphere Institute, Tyumen Scientific Centre, Siberian Branch of the Russian Academy of Sciences, Tyumen, Russia
2Tyumen Industrial University, Tyumen, Russia
3LLC "PetroTrace"
Keywords: permafrost, soil, heat and mass transfer, deep seasonal cooling device, modeling

Abstract

The article offers an analytical solution to the problem of operation of deep seasonal cooling devices (deep SCD) based on the assumption of quasi-stationary regime of soil freezing by the system evaporator. The case of application of the proposed solution for one of the design configurations of a deep SCD on thawed soils with different thermal conductivity under the weather conditions of Salekhard city is considered. We obtained the values of the radius of soil freezing around the evaporator tube as a function of depth at different time intervals of system operation. The present analytical model can be easily applied at the design stage to evaluate and optimize the design of the applied thermal stabilization system in particular geocryological zones for different thermophysical characteristics of soils, taking into account the aggregate state of water in them.