Analytical method for mechanical analysis of multiple shallow tunnels with concrete linings

Fang, Heng; Zhang, Dingli; Huang, Chengjun; Fang, Qian; Zhou, Mingchao; Cao, Liqiang

doi:10.1016/j.apm.2022.12.011

Cited by 7 publications

(1 citation statement)

References 43 publications

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“…With the rapid development of urban rail transit networks, increasing demands of smoothness and safety of the in-service tunnels when subjected to limitation of available underground space, will conduct unforeseen adverse impacts on or even seriously damage to the adjacent in-service tunnels (Fang et al, 2022;Gan et al, 2022;Wei and Jiang, 2021;Zhang et al, 2022). To ensure the serviceability of underlying shield tunnels, it is necessary to study responses of tunnel construction on the adjacent existing shield tunnels in the complex environment (Fang et al, 2023;Ma et al, 2023;Wei, 2023;Zhang et al, 2023a;Zhang et al, 2023b;Zhou et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for heave of underlying shield tunnel caused by adjacent tunnelling considering shear deformation

Wei

2024

Preprint

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Excavating a shield tunnel may cause a series of unforeseen adverse impacts on the adjacent underlying in-service tunnels. Therefore, it is significant to reasonably evaluate the influence of the newly excavated tunnel on the existing underlying shield tunnel to ensure safety and applicability of the existing tunnels. In this study, a simplified analytical solution is proposed to rapidly evaluate the responses of an existing underlying tunnel caused by newly tunnel construction. An elastic Timoshenko beam model, considering the shearing deformation of the existing shield tunnel as well as the interaction between adjacent segments, is presented for evaluating the responses of underlying shield tunnel associated with the tunnelling-induced free ground settlement. An equilibrium differential equation, combined with the finite difference analysis, is derived for the responses of the underlying in-service tunnel. The adaptability and reliability of proposed analytical solution is verified in comparison with published measurements. The predicted values were compared with the calculation results of different foundation coefficients. Parametric analyses are showed to evaluate the effects of various factors on the responses of underlying in-service tunnel, including the skew angle, equivalent shear stiffness and bending stiffness of underlying existing tunnel.

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Section: Introductionmentioning

confidence: 99%

Analytical solution for heave of underlying shield tunnel caused by adjacent tunnelling considering shear deformation

Wei

2024

Preprint

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Non‐iterative stress‐displacement solution for surrounding rock mass with multiple non‐circular deep tunnels

Ye,

2024

Num Anal Meth Geomechanics

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A non‐iterative stress‐displacement solution is proposed in this paper to investigate surrounding rock mass with multiple non‐circular deep tunnels. Compared with the Schwarz alternating method, the proposed method only spends one‐time matrix operation, showing considerable efficiency and accuracy of the matrix solution. First, a matrix solution is formulated to obtain the conformal mapping function for the non‐circular tunnel. Then, in consideration of multiple boundary conditions, the generalized complex variable theory and fast Fourier transform (FFT) algorithm are used to formulate a matrix solution of potential functions. The stress and displacement fields around multiple non‐circular tunnels can be further determined from the matrix solution. A series of numerical examples are conducted to verify the proposed method, perform the convergency study, and discuss the effects of tunnel geometries, distances, and arrangements. The convergency study shows that the more accurate conformal mapping function requires more sampling points in the FFT. In addition, the high stress zone would be amplified if the arrangement of multiple tunnels makes the high stress zone adjacent or overlapped.

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Analytical Solution of the Non-circular Tunnel with a Void Defect in the Complex Stress Field

Wang,

Niu,

Wang

et al. 2024

KSCE J Civ Eng

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Analytical method for mechanical analysis of multiple shallow tunnels with concrete linings

Cited by 7 publications

References 43 publications

Analytical solution for heave of underlying shield tunnel caused by adjacent tunnelling considering shear deformation

Analytical solution for heave of underlying shield tunnel caused by adjacent tunnelling considering shear deformation

Non‐iterative stress‐displacement solution for surrounding rock mass with multiple non‐circular deep tunnels

Analytical Solution of the Non-circular Tunnel with a Void Defect in the Complex Stress Field

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