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Research on Spatial Scale of Fluctuation for the Uncertain Thermal Parameters of Artificially Frozen Soil

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  • Tao Wang

    (State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China
    State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu 610059, China)

  • Jiazeng Cao

    (State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China)

  • Xiangjun Pei

    (State Key Laboratory of Geohazard Prevention and Geoenvironment Protection, Chengdu University of Technology, Chengdu 610059, China)

  • Zequn Hong

    (State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China)

  • Yaohui Liu

    (State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China)

  • Guoqing Zhou

    (State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, China)

Abstract

The scales of fluctuation of uncertain thermal parameters are the key to evaluating the spatial variability of artificially frozen soil, and it can directly affect the thermal engineering analysis of artificial frozen walls. In this study, the thermal conductivity, heat capacity, and thermal diffusivity at different temperatures (from −2.0 °C to 0 °C) are tested. Then the vertical and horizontal scales of fluctuation for the uncertain thermal parameters are estimated on the basis of the spatial recurrence method, curve fitting method, and correlation function method. A computational formula of the oblique fluctuation scale for the uncertain thermal parameters is proposed, and the oblique fluctuation scale for different angles is calculated and analyzed. The results show that the scales of fluctuation of uncertain thermal parameters calculated by the three methods are slightly different. The oblique fluctuation scale is larger than the vertical fluctuation scale, but is smaller than the horizontal fluctuation scale. The scales of fluctuation of uncertain thermal parameters are varied, and it is related to the temperature, water content, density, and depth. The results of the scale of fluctuation of uncertain thermal parameters in different directions reflect the spatial variability of artificially frozen soil, which has important reference significance for stochastic thermal analysis of artificial frozen engineering.

Suggested Citation

  • Tao Wang & Jiazeng Cao & Xiangjun Pei & Zequn Hong & Yaohui Liu & Guoqing Zhou, 2022. "Research on Spatial Scale of Fluctuation for the Uncertain Thermal Parameters of Artificially Frozen Soil," Sustainability, MDPI, vol. 14(24), pages 1-13, December.
    • Handle: RePEc:gam:jsusta:v:14:y:2022:i:24:p:16521-:d:998713
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    References listed on IDEAS

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    1. Fanxiang Meng & Renjie Hou & Tianxiao Li & Qiang Fu, 2020. "Variability of Soil Water Heat and Energy Transfer Under Different Cover Conditions in a Seasonally Frozen Soil Area," Sustainability, MDPI, vol. 12(5), pages 1-14, February.
    2. Wei Shan & Chengcheng Zhang & Ying Guo & Lisha Qiu & Zhichao Xu & Yan Wang, 2022. "Spatial Distribution and Variation Characteristics of Permafrost Temperature in Northeast China," Sustainability, MDPI, vol. 14(13), pages 1-16, July.
    3. Shuyang Tu & Xiuqin Yang & Xiang Zhou & Maohui Luo & Xu Zhang, 2019. "Experimenting and Modeling Thermal Performance of Ground Heat Exchanger Under Freezing Soil Conditions," Sustainability, MDPI, vol. 11(20), pages 1-18, October.
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    Cited by:

    1. Chao Liu & Hongrui Zhang & Ying Yuan & Aihong Zhou & Weiwen Liu & Wanying Guo, 2023. "Influence of Correlation Distance of Soil Parameters on Pile Foundation Failure Probability," Sustainability, MDPI, vol. 15(5), pages 1-17, February.
    2. Baoping Zou & Bo Hu & Jianzhong Xia & Xiaoquan Li & Qizhi Chen & Bowen Kong & Jingyuan Ma, 2023. "Study on Temporal and Spatial Variation in Soil Temperature in Artificial Ground Freezing of Subway Cross Passage," Sustainability, MDPI, vol. 15(4), pages 1-19, February.

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