A Simplified 3D Theoretical Model for Calculating the Surface Settlement Induced by Tunnel Undercrossing Excavation

Xu, Qian; Zhu, Yongquan; Lei, Shengxiang; Fan, Haobo; Wang, Dapeng; Ma, Kaimeng; Fang, Zhichun

doi:10.1061/ijgnai.gmeng-8767

Cited by 4 publications

(5 citation statements)

References 29 publications

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“…The effects of different section shapes and convergence patterns can be considered in this theory. Since the stochastic medium theory requires multiple integrals to be used, a simplified model that considers the entire excavation surface as one unit is used here [ 31 ]. as follows: where R represents the equivalent radius of the new tunnel.…”

Section: Analytical Solutionmentioning

confidence: 99%

“…The equivalent bending stiffness EI depends on Young's modulus and the cross-section geometry. Thus, a composite lining can be equated to a beam with the same bending stiffness and cross-section area [31]. For a segmental lining, the equivalent bending stiffness correlates with the mechanical characteristics of bolts, segments, PLOS ONE and joints.…”

Section: Plos Onementioning

confidence: 99%

“…The vertical displacement of the elastic foundation at section C. The stiffness of the existing tunnel has a significant effect on the ground displacement [31,35], the vertical displacement of the elastic foundation at section C needs to be corrected by the equivalent layered method. The corrected burial depth is shown in Eq (38), and w c is obtained by substituting H' into Eq (35).…”

Section: 45mentioning

confidence: 99%

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Investigating the influence of excavating a tunnel undercrossing an existing tunnel at zero distance

Xu,

Lei,

Zhu

et al. 2024

PLoS ONE

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In urban areas with limited underground space, the new tunnel construction introduces additional loads and displacements to existing tunnels, raising serious safety concerns. These concerns become particularly pronounced in the case of closely undercrossing excavation at zero-distance. The conventional elastic foundation beam model, which assumes constant reaction coefficients for the subgrade, fails to account for foundation loss. In this study, the existing tunnel is modeled as an Euler-Bernoulli beam supported by the Pasternak elastic foundation, and the foundation loss caused by zero-distance undercrossing excavations is considered. Furthermore, an analytical solution is proposed to evaluate the mechanical response in segments, by establishing governing differential equations and boundary conditions for the excavation and neutral zones, and underpinning loads are also considered. The analytical solution is validated in two case studies. Finally, a parametric analysis is performed to explore the influence of various parameters on the mechanical response of the existing tunnel.

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Section: Analytical Solutionmentioning

confidence: 99%

Section: Plos Onementioning

confidence: 99%

Section: 45mentioning

confidence: 99%

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Investigating the influence of excavating a tunnel undercrossing an existing tunnel at zero distance

Xu,

Lei,

Zhu

et al. 2024

PLoS ONE

Self Cite

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“…Xu et al [34] established a model to predict the impact of the excavation of the new tunnels on the surface settlement under multifactorial stratigraphy based on the equivalent stratification method and the theory of the stochastic medium model. After that, Xu [35] derived the tunnel foundation loss based on the Sagaseta formula and equivalent stratification method and calculated the surface settlement caused by the excavation of new tunnels. Zhou [36] and others used the equivalent stratification method to simplify the composite rock layer, introduced the mud consolidation equation to correct the deformation generated by different factors and analyzed the deformation effects of the excavation of new tunnels on existing tunnels.…”

Section: Introductionmentioning

confidence: 99%

Deformation Prediction Model of Existing Tunnel Structures with Equivalent Layered Method–Peck Coupled under Multiple Factors

Li,

Huang,

et al. 2024

Mathematics

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The existing tunnel structure, the new underpass tunnel structure and the rock strata in the area of influence of the crossover tunnel are interacting systems that are affected by various factors, such as dynamic and static excavation loads and dynamic and static train loads. The existing theoretical models for the deformation prediction of existing tunnels lack the synergistic analysis of dynamic and static loads on both existing and new tunnels. Based on the theory of the current layer method and Peck’s empirical formula, this paper considers the stiffness of existing tunnels, the stiffness of new tunnels, the loads of excavation methods and the loads of existing tunnels. The results show that a theoretical model for the prediction of the deformation of double-lane highway tunnels underneath existing railroad tunnels with the coupling of the current layer method and Peck under multiple factors is constructed; a modified Peck settlement formula for the base plate of the existing tunnels is put forward; and, through numerical calculations and monitoring data for validation and optimization, it is proved that the theoretical model is applicable to the excavation of tunnels underneath mountainous areas mined by the blasting method.

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“…Up until now, many scholars have conducted research on similar projects involving the construction of new shield tunnels beneath existing structures. That research is mainly divided into four types: theoretical calculation [12][13][14][15][16][17][18][19], numerical modeling [20][21][22][23][24][25][26][27][28], model testing [29][30][31], and field monitoring [32][33][34][35]. Zhang et al [36] proposed an analytical solution in order to analyze the response of an existing tunnel to a new tunnel excavation underneath.…”

Section: Introductionmentioning

confidence: 99%

Effect of Undercrossing Shield Tunnels Excavation on Existing Rectangular Pipe-Jacking Tunnels

He,

Yang,

Zhang

2023

Applied Sciences

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Shield tunneling underneath existing rectangular pipe jacking can often lead to uneven settling. To solve the problem of excessive deformation of the existing underground pedestrian passages, excavated via the rectangular pipe-jacking method due to the adjacent shield tunnels construction beneath, a safety control plan has been proposed based on the shield tunnels constructed beneath a well-type underground pedestrian passage in Hohhot Subway. This plan involves the use of both numerical simulations and on-site monitoring to investigate the deformation patterns of the rectangular pipe jacking. The results suggest that the combined approach of interlayer soil grouting and steel support reinforcement is not only appropriate but also feasible for on-site implementation. It can be concluded that interlayer soil grouting for reinforcement was applied successfully to improve the strength of surrounding soils. Steel support reinforcement is advantageous for controlling the relative deformation between pipe segments. The maximum settlement induced by the shield tunneling for Passage A and Passage B was measured at 17.67 mm and 10.08 mm, respectively, with the final settlement distribution of the rectangular pipe jacking taking on a “W” shape. This study could provide a reference for the design and construction of shield tunnels that undercross existing rectangular pipe-jacking tunnels.

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A Simplified 3D Theoretical Model for Calculating the Surface Settlement Induced by Tunnel Undercrossing Excavation

Cited by 4 publications

References 29 publications

Investigating the influence of excavating a tunnel undercrossing an existing tunnel at zero distance

Investigating the influence of excavating a tunnel undercrossing an existing tunnel at zero distance

Deformation Prediction Model of Existing Tunnel Structures with Equivalent Layered Method–Peck Coupled under Multiple Factors

Effect of Undercrossing Shield Tunnels Excavation on Existing Rectangular Pipe-Jacking Tunnels

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