Linear problem of water-ice phase transitions in unsaturated soils

The approach proposed by Menot is developed. The problem of the freezing of an unsaturated soil is formulated for a compressible gas and equal component pressures. An analytic solution is obtained in the linear approximation. The results indicate the strong dependence of the ice saturation on the permeability of the soil and the applied pressure gradient.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 68–73, May–June, 1990.