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Evaluation and Application of Surrounding Rock Stability Based on an Improved Fuzzy Comprehensive Evaluation Method

Author

Listed:
  • Xianhui Mao

    (School of Energy and Power Engineering, Xihua University, Chengdu 610039, China)

  • Ankui Hu

    (School of Energy and Power Engineering, Xihua University, Chengdu 610039, China
    Key Laboratory of Fluid Machinery and Engineering, Xihua University, Chengdu 610039, China
    Key Laboratory of Fluid and Power Machinery, Xihua University, Ministry of Education, Chengdu 610039, China)

  • Rui Zhao

    (School of Energy and Power Engineering, Xihua University, Chengdu 610039, China
    Key Laboratory of Fluid Machinery and Engineering, Xihua University, Chengdu 610039, China
    Key Laboratory of Fluid and Power Machinery, Xihua University, Ministry of Education, Chengdu 610039, China)

  • Fei Wang

    (School of Energy and Power Engineering, Xihua University, Chengdu 610039, China
    Key Laboratory of Fluid Machinery and Engineering, Xihua University, Chengdu 610039, China
    Key Laboratory of Fluid and Power Machinery, Xihua University, Ministry of Education, Chengdu 610039, China)

  • Mengkun Wu

    (School of Energy and Power Engineering, Xihua University, Chengdu 610039, China)

Abstract

Ensuring the stability of surrounding rock is crucial for the safety of underground engineering projects. In this study, an improved fuzzy comprehensive evaluation method is proposed to accurately predict the stability of surrounding rock. Five key factors, namely, rock quality designation, uniaxial compressive strength, integrality coefficient of the rock mass, strength coefficient of the structural surface, and groundwater seepage, are selected as evaluation indicators, and a five-grade evaluation system is established. An improved analytic hierarchy process (IAHP) is proposed to enhance the accuracy of the evaluation. Using interval numbers rather than real numbers in constructing an interval judgment matrix can better account for the subjective fuzziness and uncertainty of expert judgment. Subjective and objective weights are obtained through IAHP and coefficient of variation, and the comprehensive weight is calculated on the basis of game theory principles. In addition, trapezoidal and triangular membership functions are employed to determine the membership degree, and an improved fuzzy comprehensive evaluation model is constructed. The model is then used to determine the stability of the surrounding rock based on the improved criterion. It is applied to six samples from an actual underground project in China to validate its effectiveness. Results show that the proposed model accurately and effectively predicts the stability of surrounding rock, which aligns with the findings from field investigations. The proposed method provides a valuable reference for evaluating surrounding rock stability and controlling construction risks.

Suggested Citation

  • Xianhui Mao & Ankui Hu & Rui Zhao & Fei Wang & Mengkun Wu, 2023. "Evaluation and Application of Surrounding Rock Stability Based on an Improved Fuzzy Comprehensive Evaluation Method," Mathematics, MDPI, vol. 11(14), pages 1-19, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:14:p:3095-:d:1193367
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    References listed on IDEAS

    as
    1. Hujun He & Yumei Yan & Cuixia Qu & Yue Fan, 2014. "Study and Application on Stability Classification of Tunnel Surrounding Rock Based on Uncertainty Measure Theory," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-5, October.
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    5. Mingwu Wang & Xinyu Xu & Jian Li & Juliang Jin & Fengqiang Shen, 2015. "A Novel Model of Set Pair Analysis Coupled with Extenics for Evaluation of Surrounding Rock Stability," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-9, September.
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