Abstract
A mathematical model of phase transitions in frozen soils containing unfrozen water is proposed. It is shown that phase transitions in frozen soils always occupy an extended zone. The problem of the interaction of frozen rock with a salt solution is solved on the assumption that the interface between the solution and the frozen rock is permeable both for the liquid and for the dissolved impurity. This problem arises, for example, in drilling wells in frozen ground, when the circulating drilling solution is an aqueous salt solution [7]. A series of natural processes is based on the interaction between groundwaters having different, possibly negative, temperatures and different degrees of mineralization and the surrounding frozen rock [8] and on the thawing of the frozen bed of northern seas in contact with saline seawater [9].
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 136–142, November–December, 1988.
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Maksimov, A.M., Tsypkin, G.G. Self-similar solution of the thawing soil problem. Fluid Dyn 23, 914–919 (1988). https://doi.org/10.1007/BF01051829
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DOI: https://doi.org/10.1007/BF01051829