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Analytical solution for evaluating deformation response of existing metro tunnel due to excavation of adjacent foundation pit

邻近基坑开挖引起既有隧道的纵向变形响应

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Abstract

The excavation of foundation pit generates soil deformation around existing metro tunnel with shield driving method, which may lead to the deformation of tunnel lining. It is a challenge to evaluate the deformation of shield tunnel accurately and take measures to reduce the tunnel upward displacement as much as possible for geotechnical engineers. A new simplified analytical method is proposed to predict the longitudinal deformation of existing metro tunnel due to excavation unloading of adjacent foundation pit in this paper. Firstly, the additional stress of soils under vertical axisymmetric load in layered soil is obtained by using elastic multi-layer theory. Secondly, the metro tunnel is regarded as a Timoshenko beam supported by Winkler foundation so that the shear effect of tunnels can be taken into account. The additional stress acting on the tunnel due to excavation unloading in layered soil are compared with that in homogeneous soil. Additionally, the effectiveness of the analytical solution is verified via two actual cases. Moreover, parametric analysis is conducted to investigate the responses of the metro tunnel by considering such factors as the variation of subgrade coefficient, offset distance from the excavation center to tunnel longitudinal axis as well as equivalent shear stiffness. The proposed method can be used to provide theoretical basis for similar engineering project.

摘要

基坑开挖将会对隧道周围土体造成扰动, 进而导致隧道结构变形。如何准确地预测隧道的变形并采取措施最大程度减小隧道的上抬变形是一个难题。本文提出了一种新的简化分析方法, 用于预测邻近基坑开挖卸荷引起的既有隧道纵向变形。通过引入弹性层状理论, 得到了轴对称荷载作用下分层地基中的附加应力解。考虑隧道剪切变形的影响, 将地铁隧道视为搁置于Winkler 地基上的Timoshenko梁。基于该解析理论比较了分层地基和均质地基中由于开挖卸荷作用在隧道上的附加应力, 并通过两个工程实例验证了解析理论的有效性。在此基础上, 对基床系数、基坑开挖中心距隧道纵轴偏移距离和等效剪切刚度的变化引起的隧道变形响应进行了参数分析。研究成果可为类似工程提供理论依据。

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Authors and Affiliations

  1. Key Laboratory of Transportation Tunnel Engineering, Ministry of Education, Southwest Jiaotong University, Chengdu, 610031, China

    Ju-tao Qiu  (邱居涛), Xiao-jun Zhou  (周晓军), Yue-feng Zhang  (张越峰) & Ying-dong Pan  (潘英东)

  2. School of Civil Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    Ju-tao Qiu  (邱居涛), Xiao-jun Zhou  (周晓军), Yue-feng Zhang  (张越峰) & Ying-dong Pan  (潘英东)

  3. College of Civil Engineering and Architecture, Guangxi University, Nanning, 530004, China

    Jie Jiang  (江杰)

Authors
  1. Ju-tao Qiu  (邱居涛)
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  2. Jie Jiang  (江杰)
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  3. Xiao-jun Zhou  (周晓军)
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  4. Yue-feng Zhang  (张越峰)
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  5. Ying-dong Pan  (潘英东)
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Corresponding authors

Correspondence to Jie Jiang  (江杰) or Xiao-jun Zhou  (周晓军).

Additional information

Foundation item

Project(51568006) supported by the National Natural Science Foundation of China; Project(2018JJA160134) supported by the Natural Science Foundation of Guangxi Province, China

Contributors

The overarching research goals were developed by JIANG Jie. The analytical solution of longitudinal deformation of metro tunnel was obtained by QIU Ju-tao. QIU Ju-tao calculated the predicted displacement and analyzed the calculated results. The initial draft of the manuscript was written by QIU Ju-tao, ZHANG Yue-feng, and PAN Ying-dong. ZHOU Xiao-jun edited the draft of manuscript. All authors replied to reviewers’ comments and revised the final version.

Conflict of interest

QIU Ju-tao, JIANG Jie, ZHOU Xiao-jun, ZHANG Yue-feng and PAN Ying-dong declare that they have no conflict of interest.

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Qiu, Jt., Jiang, J., Zhou, Xj. et al. Analytical solution for evaluating deformation response of existing metro tunnel due to excavation of adjacent foundation pit. J. Cent. South Univ. 28, 1888–1900 (2021). https://doi.org/10.1007/s11771-021-4737-3

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  • DOI: https://doi.org/10.1007/s11771-021-4737-3

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