Mechanical responses of multi-layered ground due to shallow tunneling with arbitrary ground surface load

doi:10.1007/s11709-023-0935-4

Front. Struct. Civ. Eng.

2023, Vol. 17

Issue (5) : 745-762 https://doi.org/10.1007/s11709-023-0935-4

RESEARCH ARTICLE

Mechanical responses of multi-layered ground due to shallow tunneling with arbitrary ground surface load

Xuefei HONG, Dingli ZHANG, Zhenyu SUN(

)

Key Laboratory for Urban Underground Engineering of Ministry of Education, Beijing Jiaotong University, Beijing 100044, China

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Abstract

An analytical model based on complex variable theory is proposed to investigate ground responses due to shallow tunneling in multi-layered ground with an arbitrary ground surface load. The ground layers are assumed to be linear-elastic with full-stick contact between them. To solve the proposed multi-boundary problem, a series of analytic functions is introduced to accurately express the stresses and displacements contributed by different boundaries. Based on the principle of linear-elastic superposition, the multi-boundary problem is converted into a superposition of multiple single-boundary problems. The conformal mappings of different boundaries are independent of each other, which allows the stress and displacement fields to be obtained by the sum of components from each boundary. The analytical results are validated based on numerical and in situ monitoring results. The present model is superior to the classical model for analyzing ground responses of shallow tunneling in multi-layered ground; thus, it can be used with assurance to estimate the ground movement and surface building safety of shallow tunnel constructions beneath surface buildings. Moreover, the solution for the ground stress distribution can be used to estimate the safety of a single-layer composite ground.

Keywords analytical model mechanical response multi-layered ground shallow tunneling ground surface load complex variable solution

Corresponding Author(s): Zhenyu SUN

Just Accepted Date: 16 March 2023 Online First Date: 30 June 2023 Issue Date: 14 July 2023

Cite this article:

Xuefei HONG,Dingli ZHANG,Zhenyu SUN. Mechanical responses of multi-layered ground due to shallow tunneling with arbitrary ground surface load[J]. Front. Struct. Civ. Eng., 2023, 17(5): 745-762.

URL:

https://academic.hep.com.cn/fsce/EN/10.1007/s11709-023-0935-4
https://academic.hep.com.cn/fsce/EN/Y2023/V17/I5/745

Fig.1 Analytical model of shallow tunnel construction in multi-layered ground with surface loading.

Fig.2 Conformal mapping of typical boundaries.

Fig.3 Non-iterative analytical method for multi-layered ground.

Fig.4 Determination of reference boundary and selection of points for calculation.

Tab.1 Ground parameters used for validation

Fig.5 Effect of term number on accuracy of analytical solutions.

Fig.6 Self-consistency validation of analytical solutions: (a) stress boundary at ground surface; (b) displacement boundary of the tunnel.

Fig.7 Continuity of ground stresses and displacements at interfaces between ground layers: (a) ground stress continuity; (b) ground displacement continuity.

Tab.2 Details of engineering parameters for two actual cases [27,41]

Fig.8 Comparison with observed results for Bangkok Sewer tunnel: (a) ground-surface settlement; (b) subsurface settlement above tunnel vault; (c) horizontal displacement.

Fig.9 Comparison with observed results for Green Park tunnel: (a) ground-surface settlement; (b) subsurface settlement above tunnel vault.

Fig.10 Boundary conditions used in comparison with numerical simulation.

Fig.11 Comparison between the analytical model and numerical simulations of Model A: (a) ground stress; (b) ground displacement.

Fig.12 Comparison between the analytical model and numerical simulations of Model B: (a) ground stress; (b) ground displacement.

Fig.13 Two-layered ground system with a tunnel under uniform convergence.

Fig.14 Comparison between the proposed and classical models: (a) surface settlement trough; (b) subsurface settlement above tunnel crown.

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