water Article The Modelling of Freezing Process in Saturated Soil Based on the Thermal-Hydro-Mechanical Multi-Physics Field Coupling Theory Dawei Lei 1,2, Yugui Yang 1,2,* , Chengzheng Cai 1,2, Yong Chen 3 and Songhe Wang 4 1 State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221008, China;
[email protected] (D.L.);
[email protected] (C.C.) 2 School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China 3 State Key Laboratory of Coal Resource and Safe Mining, China University of Mining and Technology, Xuzhou 221116, China;
[email protected] 4 Institute of Geotechnical Engineering, Xi’an University of Technology, Xi’an 710048, China;
[email protected] * Correspondence:
[email protected] Received: 2 September 2020; Accepted: 22 September 2020; Published: 25 September 2020 Abstract: The freezing process of saturated soil is studied under the condition of water replenishment. The process of soil freezing was simulated based on the theory of the energy and mass conservation equations and the equation of mechanical equilibrium. The accuracy of the model was verified by comparison with the experimental results of soil freezing. One-side freezing of a saturated 10-cm-high soil column in an open system with different parameters was simulated, and the effects of the initial void ratio, hydraulic conductivity, and thermal conductivity of soil particles on soil frost heave, freezing depth, and ice lenses distribution during soil freezing were explored. During the freezing process, water migrates from the warm end to the frozen fringe under the actions of the temperature gradient and pore pressure.