Abstract
A mathematical model of phase transitions in frozen soil containing unfrozen water is proposed. It is assumed that the frozen soil is saturated with ice and unfrozen mineralized water. It is shown that introducing the phase transition front in order to describe the thawing of frozen soil leads to the overdetermination of the problem posed. In this case the temperature curve in the frozen soil does not coincide with the local phase transition temperature curve derived from the pressure and impurity concentration values but lies below (supercooling) or above (superheating) it. A noncontradictory theoretical description can be constructed if one assumes that the phase transition occupies an extended two-phase region containing ice-mineralized water mixture in the state of local thermodynamic equilibrium.
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© 1991 Springer Basel AG
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Maximov, A.M., Tsypkin, G.G. (1991). A mathematical model of a two-phase region in thawing soil. In: Neittaanmäki, P. (eds) Numerical Methods for Free Boundary Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 99. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5715-4_22
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DOI: https://doi.org/10.1007/978-3-0348-5715-4_22
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