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Study on a Quantitative Indicator for Surface Stability Evaluation of Limestone Strata with a Shallowly Buried Spherical Karst Cave

Author

Listed:
  • Peng Xie

    (College of Civil Engineering and Architecture, Hainan University, Haikou 570228, China)

  • Huchen Duan

    (College of Civil Engineering and Architecture, Hainan University, Haikou 570228, China)

  • Haijia Wen

    (School of Civil Engineering, Chongqing University, Chongqing 400045, China)

  • Chao Yang

    (Key Laboratory of Geological Hazards on Three Gorges Reservoir Area (China Three Gorges University), Ministry of Education, No. 8 University Road, Yichang 443002, China)

  • Shaokun Ma

    (Guangxi Key Laboratory of Disaster Prevention and Engineering Safety, Guangxi University, Nanning 530004, China)

  • Zurun Yue

    (State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043, China)

Abstract

This paper developed a quantitative evaluation necessary to ensure ground stability, so a quantitative indicator (bearing capacity). A homogeneous axisymmetric model was generated, considering China’s stress field and the Karst topography characteristics, simultaneously obtaining stress component expression. We then determined the bearing capacity calculation formula by combining the strength theory of shear failure and the stress component expressions. Finally, the comparison of the bearing capacity calculation results between theoretical analysis and a numerical simulation indicated that the error was less than 5%, and the result verified the rationality of the formula.

Suggested Citation

  • Peng Xie & Huchen Duan & Haijia Wen & Chao Yang & Shaokun Ma & Zurun Yue, 2022. "Study on a Quantitative Indicator for Surface Stability Evaluation of Limestone Strata with a Shallowly Buried Spherical Karst Cave," Mathematics, MDPI, vol. 10(12), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:12:p:2149-:d:843353
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    References listed on IDEAS

    as
    1. Xiuling Wang & Jinxing Lai & Siyue He & Rodney Sheldon Garnes & Yuwei Zhang, 2020. "Karst geology and mitigation measures for hazards during metro system construction in Wuhan, China," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 103(3), pages 2905-2927, September.
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