Stochastic analysis of uncertain thermal parameters for random thermal regime of frozen soil around a single freezing pipe

Stochastic analysis of uncertain thermal parameters for random thermal regime of frozen soil around a single freezing pipe
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单冻管周围冻土随机热状态的不确定热参数随机分析

DOI:
10.1007/s00231-018-2327-1
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发表时间:
2018-03
影响因子:
2.2
通讯作者:
Zhou Lei
Zhou Lei
中科院分区:
工程技术4区
文献类型:
--
作者:
Wang Tao;Zhou Guoqing;Wang Jianzhou;Zhou Lei

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人工冻结法在土木工程和矿山工程中得到了广泛的应用,冻结管周围冻土的热状况直接影响到设计和施工的安全。由于土体性质的非均质性,冻土的热参数具有很强的随机性,这就导致了冻土在冻结管周围的热状况具有随机性。本文的目的是基于随机分析模型和蒙特卡罗(MC)方法研究一维(1D)随机热状况问题。将冻土的不确定热参数视为随机变量、随机过程和随机场,得到并分析了单根冻结管周围冻土的随机热状况。在分别考虑各随机参数的变异性的情况下,研究了各随机热参数对随机热态的影响。结果表明,三种类比方法得到的单根冻结管周围冻土的平均温度相同,但标准差不同。不同径向坐标位置的标准差分布有较大差异,较大的标准差主要出现在相变区。随机变量法和随机过程法的计算值与实测值相差较大,而随机场法的计算值与实测值吻合较好。每个不确定的热工参数对单根冻结管周围冻土温度的标准差有不同的影响。这些结果可为AGF的设计和施工提供理论依据。
The artificial ground freezing method (AGF) is widely used in civil and mining engineering, and the thermal regime of frozen soil around the freezing pipe affects the safety of design and construction. The thermal parameters can be truly random due to heterogeneity of the soil properties, which lead to the randomness of thermal regime of frozen soil around the freezing pipe. The purpose of this paper is to study the one-dimensional (1D) random thermal regime problem on the basis of a stochastic analysis model and the Monte Carlo (MC) method. Considering the uncertain thermal parameters of frozen soil as random variables, stochastic processes and random fields, the corresponding stochastic thermal regime of frozen soil around a single freezing pipe are obtained and analyzed. Taking the variability of each stochastic parameter into account individually, the influences of each stochastic thermal parameter on stochastic thermal regime are investigated. The results show that the mean temperatures of frozen soil around the single freezing pipe with three analogy method are the same while the standard deviations are different. The distributions of standard deviation have a great difference at different radial coordinate location and the larger standard deviations are mainly at the phase change area. The computed data with random variable method and stochastic process method have a great difference from the measured data while the computed data with random field method well agree with the measured data. Each uncertain thermal parameter has a different effect on the standard deviation of frozen soil temperature around the single freezing pipe. These results can provide a theoretical basis for the design and construction of AGF.
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发表时间: 1985-06
影响因子: 3.7
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