冻土地层三维空间变异性表征及冻结帷幕温度特征值演化过程研究

doi:10.13722/j.cnki.jrme.2021.1267

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Abstract In order to characterize the natural three-dimensional(3D) spatial variability of frozen soil layer and to clarify the evolution process of temperature eigenvalue of freezing curtain，the thermal parameters of frozen soil layer are modeled as 3D random fields，and a new tetrahedral discretization methodology of 3D random field is proposed. An analytical formula and a numerical formula of the covariance for any two tetrahedral random field elements are developed by the volumetric coordinate transformation and gauss integral transformation. A stochastic analysis model for the thermal characteristics of freezing curtain considering the 3D spatial variability of frozen soil layer is established. The dynamic evolution process and statistical law of temperature eigenvalue are obtained，and the influence of the correlation structure of 3D random field on the temperature eigenvalue of the freezing curtain is discussed. The results show that the tetrahedral discretization methodology can be perfectly combined with the tetrahedral finite element method. Also，the corresponding relation is clearer and the computer codes are simpler. The spatial variability of thermal parameters of frozen soil has significant influence on the temperature eigenvalue of freezing curtain，and the spatial variability of thermal conductivity has the greatest influence. The effects of different correlation structure of 3D random field on temperature eigenvalue of freezing curtain are different. The triangle model has the greatest influence，the Gaussian model has the median value，and the exponential model has the least influence.

Key words： soil mechanics frozen soil layer spatial variability random field local average artificial freezing method freezing temperature

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	WANG Tao1
	2
	MA Jun2
	ZHOU Guoqing1
	2
	XU Daqing3
	JI Yukun1

Cite this article:

WANG Tao1,2,MA Jun2, et al. Study on characterization methods of three-dimensional spatial variability of frozen soil layer and evolution process of temperature eigenvalue of freezing curtain[J]. , 2022, 41(10): 2094-2108.

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http://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2021.1267 OR http://rockmech.whrsm.ac.cn/EN/Y2022/V41/I10/2094

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