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The Application of the Strength Reduction Shortest Path Method to the Stability Analysis of Shallow Buried Tunnel

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Abstract

To improve the theoretical analysis of surrounding rock stability of shallow buried tunnels. The strength reduction shortest path theory is applied to the stability analysis of shallow buried tunnel surrounding rock, combined with the ultimate equilibrium strength reduction theory. We discussed the influence of the depth and span ratio of tunnel, cohesion, and internal friction angle on the shortest path of the strength reduction, and studied the effects of various factors on shallow buried tunnel safety relationship by using strength reduction factor of safety and the shortest path of the shallow buried tunnel surrounding rock and the grey relational analysis theory. The results show that: in the analysis of shallow buried tunnel in strength reduction, the approximate distribution obeys parabolic between reduction path length and the reduction ratio. When the strength reduction of cohesion is the shortest path the reduction rate is greater than the internal friction angle. The internal friction angle and cohesive force have a great influence on the stability of shallow tunnels under the method of shortest path of strength reduction. Finally, the comprehensive safety factor of shallow buried tunnels calculated by the finite element strength reduction shortest path method is greater than that calculated by the limit equilibrium method.

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Authors and Affiliations

  1. School of Civil Engineering, Central South University, Hunan, 410075, China

    Wei Wang, Jiaqi Zhang & Ao Li

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  1. Wei Wang
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  2. Jiaqi Zhang
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  3. Ao Li
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Correspondence to Jiaqi Zhang.

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We declare that we have no financial and personal relationships with other people or organizations that can inappropriately influence our work, there is no professional or other personal interest of any nature or kind in any product, service or company that could be construed as influencing the position presented in, or the review of, the manuscript entitled, “The application of the strength reduction shortest path method to the stability analysis of shallow buried tunnel”.

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Wang, W., Zhang, J. & Li, A. The Application of the Strength Reduction Shortest Path Method to the Stability Analysis of Shallow Buried Tunnel. Geotech Geol Eng 40, 1091–1101 (2022). https://doi.org/10.1007/s10706-021-01944-3

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