Abstract
A mathematical model for calculating the distribution of temperature and the dynamics of the phase transfor-mations of water in multilayer systems on permafrost-zone surface is proposed. The model allows one to perform calculations in the annual cycle, taking into account the distribution of temperature on the surface in warm and cold seasons. A system involving four layers, a snow or land cover, a top layer of soil, a layer of thermal-insulation materi-al, and a mineral soil, is analyzed. The calculations by the model allow one to choose the optimal thickness and com-position of the layers which would ensure the stability of structures built on the permafrost-zone surface.
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A.G. Ananenkov, G.P. Stavkin, S.A. Lobastova, and I.L. Khabibullin, Ecological Foundation of Land Use while Development and Gas and Condensate Field in Far North, Nedra-BiznesTsentr, Moscow, 2000.
I.L. Khabibullin, S.A. Lobastova, M.V. Soldatkin, and A.R. Buranshina, Modeling of a thermokarst lake and the assessment of its ecogeocryological danger, Vestnik BashGU, 2007, Vol. 12, No. 1, P. 21–22.
I.L. Khabibullin and Z.R. Khusainova, Analytical research of models of termoerosion frozen grounds, Vestnik BashGU, 2005, Vol. 10, No. 12, P. 23–27.
G.I. Smorygin, Prediction of the Thermal Regime of Frozen Rocks under Natural and Artificial Covers, Nauka, Novosibirsk, 1980, P. 7, 48–52.
I.L. Khabibullin and G.A. Zakirova, Simulation of thaw frozen ground under the insulation layers, Vestnik BashGU, 2014, Vol. 19, No. 4, P. 1131–1139.
V.G. Melamed, Heat and Mass Transfer in Rocks at Phase Transitions, Nauka, Moscow, 1980.
G.M. Feldman, Thermokarst and Permafrost, Nauka, Novosibirsk, 1984.
M.M. Dubina, B.A. Krasovitskii, and A.S. Lozovskii, Thermal and Mechanical Interaction of Engineering Structures with Frozen Soils, Nauka, Novosibirsk, 1977.
E.D. Ershov, Fundamentals of Geocryology, Pt. 4, Dynamic Geocryology, Moscow State University, Moscow, 2001.
I.L. Khabibullin and M.V. Soldatkin, Dynamics of freezing of permafrost seasonally thawed layer, Vestnik BashGU, 2012, Vol. 17, No. 2, P. 843–846.
A.F. Chudnovskii, Thermophysics of Soils, Nauka, Moscow, 1976.
A.V. Pavlov, Thermophysics of Landscapes, Nauka, Moscow, 1979.
G.Z. Perlshtein, Heat exchange between active soil and atmosphere: the oretical and applied aspects, Kriosfera Zemli, 2002, Vol. VI, No. 1, P. 25–29.
N.I. Osokin and A.V. Sosnovskii, Impact of dynamics of air temperature and snow cover thickness on the ground freezing, Kriosfera Zemli, 2015, Vol. XIX, No. 1, P. 99–105.
N.M. Okhlopkov, Some Methods for Numerical Implementation of Multi-Dimensional Boundary-Value Problems in Mathematical Physics, Yakutsk State University, Yakutsk, 1978.
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Khabibullin, I.L., Nigametyanova, G.A. & Nazmutdinov, F.F. Heat transfer and phase transitions of water in multi-layer cryolithozone-surface systems. Thermophys. Aeromech. 25, 101–108 (2018). https://doi.org/10.1134/S0869864318010092
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DOI: https://doi.org/10.1134/S0869864318010092