Analytical solution for classical one-dimensional thaw consolidation model considering unfrozen water effect and time-varying load
Analytical solution for classical one-dimensional thaw consolidation model considering unfrozen water effect and time-varying load
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考虑未冻水效应和时变荷载的经典一维融冻固结模型解析解
DOI：
10.1016/j.compgeo.2020.103513
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发表时间：
2020-06
期刊：
影响因子：
--
通讯作者：
Guo-qing Zhou
中科院分区：
文献类型：
--
作者：
Yang Zhou;Li-ying Zhang;Cheng Xu;Tao Wang;Guo-qing Zhou
研究了均匀初始温度和边界温度阶跃升高条件下冻土的一维解冻过程。对Morgenstern和尼克松提出的经典解冻固结模型进行了扩展，在两种排水边界条件下，考虑了冻土中的未冻水和时变荷载。结果表明，即使考虑了未冻水的影响，解冻锋的推进也与时间的平方根成正比。研究还表明，即使存在移动接触面，固结过程也适用某种形式的叠加原理。利用相似变换技术，给出了外载荷的幂函数形式的解析解，该解析解可应用叠加原理构造任意外载荷的解析解。一个数值解的问题也被开发。给出了计算实例。首先，验证了解析解和数值解的正确性。其次，对瞬时荷载和相应的指数荷载作用下的冻融固结过程进行了比较和讨论。第三，研究了未冻水和排水方式对冻融固结特性的影响。
A one-dimensional thawing process of frozen soil under a uniform initial temperature and a step increase of boundary temperature is investigated. The classical thaw consolidation model developed by Morgenstern and Nixon is extended by including unfrozen water in frozen soil and time-varying loads under two types of drainage boundaries. It is proven that the thawing front advances in proportion to the square root of time even with the unfrozen water effect included. It is also indicated that a certain form of superposition principle is applicable to the consolidation process even with the presence of a moving interface. An analytical solution for the external load in the form of a power function is developed using the similarity transformation technique, and this solution can be applied to construct the analytical solution for an arbitrary external load using the superposition principle. A numerical solution for the problem is also developed. Computational examples are presented. First, the correctness of the analytical solution and the numerical solution is verified. Second, thaw consolidation processes under an instant load and a corresponding exponential load are compared and discussed. Third, the effects of unfrozen water and drainage types on the thaw consolidation behavior are investigated.
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