Influence of pressure gradient and capillary forces on ice formation in soil

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Abstract


Ice formation in unsaturated soil is investigated, in the presence of pressure gradient and capillary forces. It is shown that in linear approximation the problem of determining of the amount of ice formed reduces to solving a non-uniform diffusion equation for water saturation. Similarity solution of the problem in one-dimensional case is obtained. It is found that the pressure drop at the cooling wall causes flow of water towards the crystallization front and leads to an increase in the amount of ice that forms.


About the authors

G. G. Tsypkin

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences

Author for correspondence.
Email: tsypkin@ipmnet.ru

Russian Federation, 101, bldg. 1, Vernadskogo prospect, Moscow, 119526

References

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