1.四川大学水利水电学院,四川 成都 610065
2.中国科学院西北生态环境资源研究院冻土工程国家重点实验室,甘肃 兰州 730000
刘恩龙(1976—),男,教授,博导,博士。主要从事土的本构关系研究。E-mail:liuenlong@scu.edu.cn
收稿:2021-11-13,
修回:2021-12-10,
纸质出版:2022-10-28
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刘恩龙,尹霄,张冲等.冻融作用下非饱和土热水力耦合数值模拟[J].防灾减灾工程学报,2022,42(05):953-960.
LIU Enlong,YIN Xiao,ZHANG Chong,et al.Numerical Simulation of Thermo‑hydro‑mechanical Coupling for Unsaturated Soil Subjected to Freezing‑thawing Actions[J].Journal of Disaster Prevention and Mitigation Engineering,2022,42(05):953-960.
刘恩龙,尹霄,张冲等.冻融作用下非饱和土热水力耦合数值模拟[J].防灾减灾工程学报,2022,42(05):953-960. DOI: 10.13409/j.cnki.jdpme.20211120041.
LIU Enlong,YIN Xiao,ZHANG Chong,et al.Numerical Simulation of Thermo‑hydro‑mechanical Coupling for Unsaturated Soil Subjected to Freezing‑thawing Actions[J].Journal of Disaster Prevention and Mitigation Engineering,2022,42(05):953-960. DOI: 10.13409/j.cnki.jdpme.20211120041.
基于多孔介质力学建立非饱和土在冻结过程中的耦合方程并进行单向冻融过程的数值求解及模拟分析。把非饱和冻土当作固体土颗粒、未冻水、冰晶及孔隙气组成的多孔多相介质,在小变形假定下建立了考虑冰‑水、水‑水汽相变的非饱和冻土的质量守恒、动量守恒方程,以及能量方程、耗散不等式、热平衡方程。结合冻融过程中的渗透特性以及应力应变关系,对单向冻融条件下的非饱和土柱封闭系统进行了数值求解,计算结果表明冷端冻结温度的数值对非饱和土柱的顶部位移影响较大,而对温度场的分布规律以及冻结区的含水率分布影响较小。研究结果可为寒区非饱和土工程的设计和施工提供指导。
Based on poromechanics, coupling equations for unsaturated soil in the freezing process are proposed, based on which numerical simulations under the un-directional freezing and thawing process are carried out. The unsaturated frozen soil is dealt with porous media composed of solid soil grains, unfrozen water, ice crystals, and in-pore gases. The coupling equations, including mass conservation, momentum balance, energy conservation, dissipation inequality, and thermal balance equation, are derived considering the phase changes of ice-water and water-vapor on the assumption of infinitesimal transformations. Combining permeability and stress-strain features under the freezing and thawing process, numerical solutions are carried out on closed unsaturated soil columns subjected to freezing and thawing cycles. The computational results demonstrate that the values of freezing temperature at the cold end affect the displacement distribution of the upper surface greatly, but have a slight influence on the temperature distribution and water contents in frozen zones of the unsaturated soil column. The results can provide a guidance for design and construction in unsaturated soil in cold regions.
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