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A quantitative model for the geological strength index based on attribute mathematics and its application

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Abstract

This article introduces a new quantitative model for the geological strength index (GSI) based on attribute mathematics theory. This new attribute evaluation index system of GSI consists of the rock mass block index, the joint spacing, the number of joint sets, the absolute weathering index, the large-scale undulation, and the small-scale undulation. Recently, based on attribute mathematics theory, the attribute mathematics evaluation model of GSI was established for identifying and classifying the geological strength index. Finally, based on the confidence criterion and the method of linear interpolation, a quantitative model for the geological strength index is established. To verify the model, an improved numerical method is introduced. Meanwhile, the equivalent transformation method of the Hoek–Brown strength criterion and Mohr–Coulomb strength criterion is cited. The problems in the determination of the reinforcement time to support surrounding rock are solved by the analysis of the construction process mechanics. A new concept called section displacement deviation is proposed for effective comparison of the monitoring data and the simulation predictions. Project applications prove that this quantitative method has strong pertinence and high accuracy and can organically combine geological surveys, experimental data, statistics, and expert opinions, so this evaluation method can decrease the subjectivity of research decisions. The method of the attribute mathematics evaluation of GSI provides a new approach to quantifying the GSI system.

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Funding

This work was supported by the National Science Fund for Excellent Young Scholars (No. 51722904), National Natural Science Foundation of China (No. 51679131), China Postdoctoral Science Foundation (2019M652383, 2020T130378), and Postdoctoral Innovation Program of Shandong Province (202002008).

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Authors and Affiliations

  1. Geotechnical and Structural Engineering Research Center, Shandong University, Jinan, 250061, China

    Liping Li, Guangyu Yang, Hongliang Liu, Shuguang Song & Hongyun Fan

Authors
  1. Liping Li
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  2. Guangyu Yang
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  3. Hongliang Liu
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  4. Shuguang Song
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  5. Hongyun Fan
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Correspondence to Hongliang Liu.

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Li, L., Yang, G., Liu, H. et al. A quantitative model for the geological strength index based on attribute mathematics and its application. Bull Eng Geol Environ 80, 6897–6911 (2021). https://doi.org/10.1007/s10064-021-02358-4

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  • DOI: https://doi.org/10.1007/s10064-021-02358-4

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