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Three-Dimensional Limit Equilibrium Solution of Minimum Support Pressure of Shield Tunnel Face in Sandy Cobble Stratum

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Abstract

The ground subsidence accident caused by the instability of shield tunnel face has been a major problem that puzzles urban subway construction in weak rock. Maintaining the stability of tunnel face is the key to ensure the safety of shield construction and reduce the environmental impact. In view of the shield with a diameter of 8600 mm in Chengdu metro line 18 through the sandy cobble stratum, it is more difficult to maintain the stability of the shield tunnel face than other strata. The characteristics of the sandy pebble stratum were taken into account firstly in this paper. The analytical equation was obtained by the limit equilibrium method. The optimization of the trapezoidal bottom has been improved based on the existing 3D trapezoidal wedge model. And the optimal solution of the ultimate support pressure was obtained. The influencing factors of support pressure are also analysed. When the tunnel diameter is fixed, the deeper the ground covering depth is, the greater the required limit support pressure becomes. But the ground covering depth has almost no effect on the ultimate support pressure even if the tunnel is deep. The limit support pressure is inversely proportional to the internal friction angle of the soil and is proportional to the diameter of the tunnel. Finally, theoretical limit support pressure can be also verified by the numerical simulation results and the field monitoring results. It provides a reference for the subsequent setting value of the soil warehouse pressure.

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Acknowledgements

This paper was supported by Basic Applied Research Projects of Sichuan Science and Technology Department, No. 2019YJ0349, and C1 Team of Underground Space Development and Utilization, No. X151563.

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Authors and Affiliations

  1. School of Geoscience and Technology, Southwest Petroleum University, Chengdu, 610500, China

    Zhang Junwei, Wan Panpan & Huang Xinmiao

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  1. Zhang Junwei
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  2. Wan Panpan
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  3. Huang Xinmiao
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Contributions

ZJ proposed the original idea that three-dimensional limit equilibrium solution of minimum support pressure of shield tunnel face in sandy cobble stratum. WP and HX wrote the main manuscript text. Wan Panpan prepared all the table. HX prepared all the figures. All authors reviewed the manuscript.

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Correspondence to Zhang Junwei.

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The authors declare that there are no conflicts of interest regarding the publication of this paper.

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Junwei, Z., Panpan, W. & Xinmiao, H. Three-Dimensional Limit Equilibrium Solution of Minimum Support Pressure of Shield Tunnel Face in Sandy Cobble Stratum. Arab J Sci Eng 46, 5061–5069 (2021). https://doi.org/10.1007/s13369-020-05231-w

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