Analysis on Coupling Model of Permafrost Slope Reinforced by Frame Structure with Anchors

DONG Jian-hua1,2 DAI Tao1,2 DONG Xu-guang1,2 SUN Guo-dong1,2

(1.Key Laboratory of Disaster Prevention and Mitigation in Civil Engineering of Gansu Province, Lanzhou University of Technology, Lanzhou, Gansu, China 730050)
(2.Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou University of Technology, Lanzhou, Gansu, China 730050)

【Abstract】In order to clarify the working mechanism of frame supporting structure with anchors in the cold regions, a coupling mathematical calculation model of heat-moisture-stress was established. The coupling model was analyzed by the finite element method, and a calculation program was written based on the MATLAB software. Besides, the program was verified by the existing experimental research. Through the examples, the distribution laws of the temperature field, moisture field and stress field of the slope and the freeze-thaw action of the supporting structure were obtained. The results showed that the upper part of slope was greatly influenced by temperature, and the active layer was nearly saturated when it melted. And there existed the supersaturated “bubble” at the bottom of slope. In addition, the shear stress in the process of freezing whose maximum value was twice as large as that in the process of thawing was evenly distributed. The slope was stable during this process. While there appeared an abrupt change of shear stress at the interface between active layer and stable frozen soil layer during thawing. The slope was unstable, and the interface was the potential slip surface. In a freeze-thaw cycle, the axial force of anchor bolt, the internal force of column and the horizontal displacement increased first and then decreased, and all of them increased with the increase of the slope height. The laws of structural internal force and horizontal displacement under the three conditions from the largest to the smallest were freezing stage, thawing stage and the initial stage. The axial force at the anchor head in each soil layer dramatically increased during the frost heaving process, while the increase amplitude gradually decreased in the axial direction. In the process of thawing, the anchor force and the internal force of column decreased significantly, with a residual deformation produced. Therefore, when the permafrost slope was supported by frame anchor, the supporting structure was supposed to be designed and calculated under the frost heaving condition.

【Keywords】 road engineering; permafrost slope; coupling model of heat-moisture-stress; frame structure with anchors; freeze-thaw action; MATLAB;


【Funds】 National Natural Science Foundation of China (51778275, 51268037) Science Fund for Distinguished Young Scholars in Gansu Province (145RJDA330) Support Project of Young Creative Talents in Gansu Province (LYRC2014002)

Download this article


    [1] JIN De-wu, SUN Jian-feng, FU Shao-lan. Discussion on Landslides Hazard Mechanism of Two Kinds of Low Angle Slope in Permafrost Region of Qinghai-Tibet Plateau [J]. Rock and Soil Mechanics, 2005, 26 (5): 774–778 (in Chinese).

    [2] XIONG Zhi-wen, LIAO Xiao-ping, XU Bing-kui, et al. Summary on Research on Slope and Slope Embankment in Permafrost Region of Qinghai-Tibet Railway [J]. Journal of the China Railway Society, 2010, 32 (4): 102–107 (in Chinese).

    [3] DING Jing-kang, LOU An-jin. Site Measurement Method of Horizontal Frost Heaving Force [J]. Journal of Glaciology and Geocryology, 1980, 2 (S1): 33–36 (in Chinese).

    [4] XU Xue-yan, DING Jing-kang, LOU An-jin. Determining the Long Term Shear Strength at the Frozen-unfrozen Interface [J]. Journal of Harbin Architecture & Civil Engineering Institute, 1992, 25 (3): 37–42 (in Chinese).

    [5] ZHANG Zhi-hao, MA Lin, HAN Xiao-meng, et al. Frost Heaving Deformation Control of Pile-anchor Retaining Structure of Deep Foundation Pits in Seasonal Frozen Soil Regions [J]. Chinese Journal of Geotechnical Engineering, 2012, 34 (S): 65–71 (in Chinese).

    [6] LIANG Bo, WANG Jia-dong, YAN Song-hong, et al. Experiment and Analysis of the Earth Pressure (Frost Heaving Forces) on L-type Retaining Wall in Permafrost Regions [J]. Journal of Glaciology and Geocryology, 2002, 24 (5): 628–633 (in Chinese).

    [7] MIAO Tian-de, GUO Li, NIU Yong-hong, et al. Modeling on Coupled Heat and Moisture Transfer in Freezing Soil Using Mixture Theory [J]. Science in China: Series D, 1999, 29 (S1): 8–14 (in Chinese).

    [8] LAI Yuan-ming, LIU Song-yu, WU Zi-wang. Nonlinear Analyses for Retaining Walls in Frigid Zone—A Coupled Problem of Temperature, Seepage, and Stress Fields [J]. China Civil Engineering Journal, 2003, 36 (6): 88–95 (in Chinese).

    [9] LAI Yuan-ming, WU Zi-wang, ZHU Yuan-lin, et al. Nonlinear Analyses for the Couple Problem of Temperature, Seepage and Stress Fields in Cold Region Tunnels [J]. Chinese Journal of Geotechnical Engineering, 1999, 21 (5): 529–533 (in Chinese).

    [10] DONG Jian-hua, DONG Xu-guang, ZHU Yan-peng. Reliability Analysis on Stability of Slope Reinforced by Frame with Pre-stress Anchors Under Random Earthquake Action [J]. China Journal of Highway and Transport, 2017, 30 (2): 41–47 (in Chinese).

    [11] DONG Jian-hua, ZHANG Yuan, ZHU Yan-peng, et al. Random Seismic Response and Dynamic Reliability Analysis of Frame with Prestressed Anchors for Slope Stability [J]. China Journal of Highway and Transport, 2015, 28 (10): 26–33 (in Chinese).

    [12] DONG Jian-hua, ZHU Yan-peng, MA Wei, et al. Simplified Seismic Design Method of Frame Supporting Structure with Prestressed Anchors for Slope Stability [J]. China Journal of Highway and Transport, 2012, 25 (5): 38–46 (in Chinese).

    [13] KONG Xian-qian. Application of Finite Element Method on Heat Transfer [M]. 3rd ed. Beijing: Science Press, 1998 (in Chinese).

    [14] LAI Yuan-ming, ZHANG Ming-yi, LI Shuang-yang, et al. Theory and Application of Cold Regions Engineering [M]. Beijing: Science Press, 2009 (in Chinese).

    [15] MAO Xue-song. Study on Coupling Model of the Moisture-heat-stress Fields in the Permafrost Subgrade [D]. Xi’an: Chang’an University, 2004 (in Chinese).

    [16] WANG Jia-lin, CHEN Shan-lin. A Beam-embedded Plane Finite Element Model of Reinforced Concrete [J]. Journal of Zhengzhou University: Engineering Science, 2005, 26 (2): 72–75 (in Chinese).

    [17] DONG Xu-guang. Research on the Working Mechanism and Experiment of the New Frame Heat Anchor Pipe Supporting Structure for Permafrost Slope [D]. Lanzhou: Lanzhou University of Technology, 2017 (in Chinese).

    [18] DAI Tao. Analysis on Coupling Model of Permafrost Slope Supported by Frame Structure with Anchors [D]. Lanzhou: Lanzhou University of Technology, 2016 (in Chinese).

    [19] SHEN M, LADANYI B. Modelling of Coupled Heat, Moisture and Stress Field in Freezing Soil [J]. Cold Regions Science and Technology, 1987, 14: 237–246.

    [20] HE Min, LI Ning, LIU Nai-fei. Analysis and Validation of Coupled Heat-moisture-deformation Model for Saturated Frozen Soils [J]. Chinese Journal of Geotechnical Engineering, 2012, 34 (10): 1858–1865 (in Chinese).

This Article


CN: 61-1313/U

Vol 31, No. 02, Pages 133-143

February 2018


Article Outline


  • 0 Introduction
  • 1 Multi-field coupling model of permafrost slope supported by frame structures with anchors
  • 2 Solution of the coupling equation
  • 3 Program verification
  • 4 Example analysis
  • 5 Conclusions
  • References