Volume 23 Issue 4
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LAI Hong-peng, YAO Yi, GAO Qiang, LIU Yu-yang. Bipolar coordinate solving method of ground displacement caused by shallow tunnel excavation[J]. Journal of Traffic and Transportation Engineering, 2023, 23(4): 178-189. doi: 10.19818/j.cnki.1671-1637.2023.04.013
Citation: LAI Hong-peng, YAO Yi, GAO Qiang, LIU Yu-yang. Bipolar coordinate solving method of ground displacement caused by shallow tunnel excavation[J]. Journal of Traffic and Transportation Engineering, 2023, 23(4): 178-189. doi: 10.19818/j.cnki.1671-1637.2023.04.013
shu

Bipolar coordinate solving method of ground displacement caused by shallow tunnel excavation

doi: 10.19818/j.cnki.1671-1637.2023.04.013
  • 1.

    School of Highway, Chang'an University, Xi'an 710064, Shaanxi, China

  • 2.

    Guangzhou Metro Design and Research Institute Co., Ltd., Guangzhou 510010, Guangdong, China

  • 3.

    School of Architectural Engineering, Chang'an University, Xi'an 710064, Shaanxi, China

Funds:

National Natural Science Foundation of China 51978064

National Natural Science Foundation of China 51908051

Scientific Project of Guangzhou Metro Design and Research Institute Co., Ltd. KY-2020-003

Scientific Project of Xi'an Rail Transit Group Company Limited D15-YJ-152021006

More Information
  • Author Bio:

    LAI Hong-peng(1979-), male, professor, PhD, laihp168@chd.edu.cn

  • Received Date: 2023-02-11
    Available Online: 2023-09-08
  • Publish Date: 2023-08-25
    Abstract
  • Based on the bipolar coordinate system and Mohr-Coulomb criterion, the elastoplastic solution of ground displacement caused by the shallow tunnel excavation in vault direction was derived by considering the characteristic of dilatancy and combining the surrounding rock stress solution of Jeffery and Massinas semi-infinite spatial circular tunnel with the equilibrium equations. The new solution was further verified by the Peck formula, Park formula, Loganathan-Poulos formula, and measured data. The relationships between the ground deformation mechanism and existing solutions were revealed. The quantitative methods for determining the empirical parameters (ground loss rate and gap parameter) subjected to ground parameters and construction factors were provided. Research results show that fewer hypotheses are needed by the elastoplastic solution. An difference of less than 2% is presented in comparison with the Peck formula and Park formula, and an difference of 9.5% is shown in comparison with the Loganathan-Poulos formula. The ground deformation mechanism, Peck formula, and various modified elastic formulas are further elucidated from the perspective of elastoplastic analysis by the bipolar coordinate solving method. In other words, both the elastic and plastic deformations can be caused by the shallow tunnel excavation. When the ground deformation is calculated by the empirical formula methods, typified by the Peck formula, the values of ground loss rate in diverse regions and construction conditions correspond to the ground elastoplastic deformations under different ground parameters (cohesion, internal friction angle, Poisson's ratio, weight, and elastic modulus) and construction boundary conditions (buried depth, excavation radius, and support force). Various modified elastic solutions, typified by the Park formula and Loganathan-Poulos formula, can also be deemed as the modifications offsetting the discrepancy between the ideal elastic solution and the elastoplastic solution by the approximate means of the cross-section ovalization and sedimentation. Therefore, the field construction can be better guided by combining the elastoplastic solution with the existing formula.

     

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