A frost heave model which simulates formation of ice lenses is developed for saturated salt-free soils. Quasi-steady state heat and mass flow is considered. Special attention is paid to the transmitted zone, i.e. the frozen fringe. The permeability of the frozen fringe is assumed to vary exponentially as a function of temperature. The rates of water flow in the frozen fringe and in the unfrozen soil are assumed to be constant in space but vary with time. The pore water pressure in the frozen fringe is integrated from the Darcy law. The ice pressure in the frozen fringe is determined by the generalized Clapeyron equation. A new ice lens is assumed to form in the frozen fringe when and where the effective stress approaches zero. The neutral stress is determined as a simple function of the unfrozen water content and porosity. The model is implemented on an personal computer. The simulated heave amounts and heaving rates are compared with experimental data, which shows that the model generally gives reasonable estimation.
Research Article|April 01 1995
Frost Heave due to Ice Lens Formation in Freezing Soils: 1. Theory and Verification
D. Sheng, K. Axelsson, S. Knutsson; Frost Heave due to Ice Lens Formation in Freezing Soils: 1. Theory and Verification. Hydrology Research 1 April 1995; 26 (2): 125–146. doi: https://doi.org/10.2166/nh.1995.0008
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