Probabilistic analysis for twin tunneling-induced longitudinal responses of existing shield tunnel

Gan, Xiaolu; Yu, Jianlin; Gong, Xiaonan; Zhu, Min

doi:10.1016/j.tust.2021.104317

Cited by 15 publications

(15 citation statements)

References 58 publications

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“…The expressions for the velocities of the velocity discontinuities E a,0 E a, f as well as E a, f E a, f +1 in the A-4 failure region are expressions (22) and (23), respectively.…”

Section: Velocity Fieldmentioning

confidence: 99%

“…With the aim of overcoming this shortcoming, the reliability theory [20,21] and the random field model [22] could be introduced into the system so that the full quantitative assessment of the construction risk of karst tunnels could be carried out. Gan et al [23] established a deterministic model of the twin tunnels located beneath an existing shield tunnel and conducted simulations through the application of the Monte Carlo method to assess the probability of failure during tunnel deformation when tunnel deformation exceeds the tolerance threshold. Li et al [24] developed a damage model for tunnel excavation in double-layered soils under a theoretical basis of ultimate analysis to characterize the probability of failure of the tunnel working surface using an active learning Kriging model.…”

Section: Introductionmentioning

confidence: 99%

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A Calculation Method for Reliability Index of a Deep–Bedded Karst Tunnel Construction with Cavity Located Ahead of Tunnel Working Face

Wu,

Sun,

Meng

2024

Buildings

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For the purpose of reliability quantitative assessment of the surrounding rock of the deeply embedded karst tunnel and the geological body around the cavern in the case of the cavern in the forepart of the tunnel face, on the basis of the upper bound limit analysis method, the energy dissipation theory, as well as the reliability theory, the dimensionless performance function of each damage area of the deeply buried karst tunnels could be established in the case of the cavern in the front of the tunnel face. Subsequently, the probability of failure and the reliability index of each damage region of the deep–bedded karst tunnel in the case of the cavern in the front of this tunnel face should be calculated through the Monte Carlo simulation sampling approach. The investigation has demonstrated that the larger the cohesion of the geotechnical body and the larger the internal friction angle within the geotechnical body, the larger the reliability indexes of the geotechnical bodies around the tunnel. The larger the diameter of the cavern and the larger the tunnel burial depth, the greater the probability of failure in the left part of the geotechnical body around this cavern, and the smaller the reliability indexes of these damage areas.

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“…The expressions for the velocities of the velocity discontinuities E a,0 E a, f as well as E a, f E a, f +1 in the A-4 failure region are expressions (22) and (23), respectively.…”

Section: Velocity Fieldmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Calculation Method for Reliability Index of a Deep–Bedded Karst Tunnel Construction with Cavity Located Ahead of Tunnel Working Face

Wu,

Sun,

Meng

2024

Buildings

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“…where R is the radius of the new tunnel and H is the buried depth of the new tunnel. Equation (3) can be further modified to consider the skew angle between the new tunnel and the existing tunnel [32]: where a is the skew angle between the new and the existing tunnel.…”

Section: Greenfield Soil Settlement Caused By New Tunnelingmentioning

confidence: 99%

“…The governing differential equation for the tunnel settlement is given as Equation ( 15) by combining Equations ( 12)- (14). It is noted that when k(x) is assumed as a constant value, Equation (15) degenerates into the general differential equation of the Timoshenko-Winkler model used in existing studies [18,32] which ignore the longitudinal variation in the subgrade reaction coefficient.…”

Section: Soil-existing Tunnel Interactionmentioning

confidence: 99%

Random Responses of Shield Tunnel to New Tunnel Undercrossing Considering Spatial Variability of Soil Elastic Modulus

Gan,

Liu,

Bezuijen

et al. 2024

Applied Sciences

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This paper investigates the effect of spatial variability of soil elastic modulus on the longitudinal responses of the existing shield tunnel to the new tunnel undercrossing using a random two-stage analysis method (RTSAM). The Timoshenko–Winkler-based deterministic method considering longitudinal variation in the subgrade reaction coefficient and the random field of the soil elastic modulus discretized by the Karhunen–Loeve expansion method are combined to establish the RTSAM. Then, the proposed RTSAM is applied to carry out a random analysis based on an actual engineering case. Results show that the increases in the scale of fluctuation and the coefficient of variation of the soil elastic modulus lead to higher variabilities of tunnel responses. A decreasing pillar depth and mean value of the soil elastic modulus and an increasing skew angle strengthen the effect of the spatial variability of the soil elastic modulus on tunnel responses. The variabilities of tunnel responses under the random field of the soil elastic modulus are overestimated by the Euler–Bernoulli beam model. The results of this study provide references for the uncertainty analysis of the new tunneling-induced responses of the existing tunnel under the random field of soil properties.

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“…Based on the two-stage analysis method, Liu et al [24] used the superposition principle to evaluate the soil greenfield displacement induced by twin tunneling and further derived an analytical solution to compute the deformation of buried pipeline. Recently, Gan et al [25] used the Timoshenko-Winkler model to develop an analytical solution to assess the buried pipeline response caused by undercrossing twin tunnels.…”

Section: Introductionmentioning

confidence: 99%

Analysis of the Buried Pipeline Response Induced by Twin Tunneling Using the Generalized Hermite Spectral Method

Huang

Zhou

et al. 2023

Sustainability

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For the sustainability of economic, ecological and social development, the safety of infrastructure, including buried pipelines, is extremely important. Undercrossing tunneling can compromise the safety of buried pipelines because of deformations, cracks and dislocations, which can result in wasted resources, environmental pollution and economic losses. Therefore, it is important to assess the pipeline response accurately during tunnel excavation. This paper proposes a generalized Hermite spectral solution to estimate the pipeline response induced by twin tunneling. The proposed solution is formulated by a truncated series of Hermite functions and it is available in an unbounded domain. On the basis of the two-stage analysis method, a general formula for calculating the soil greenfield displacement induced by twin tunneling is first derived using the superposition principle. To obtain the final solution, the soil greenfield displacement and pipeline displacement are expanded using two truncated series of Hermite functions, and the governing differential equation of pipeline displacement is subsequently simplified into a linear algebraic system. After solving this system, a general solution for calculating pipeline displacement is formulated. Then, the convergence of the developed solution is proven, and its validity is verified against existing theoretical solutions and centrifuge test results. The effects of the truncated series number and its scaling factor are investigated. Finally, parametric studies are conducted to discuss pipeline responses induced by twin tunneling.

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Probabilistic analysis for twin tunneling-induced longitudinal responses of existing shield tunnel

Cited by 15 publications

References 58 publications

A Calculation Method for Reliability Index of a Deep–Bedded Karst Tunnel Construction with Cavity Located Ahead of Tunnel Working Face

A Calculation Method for Reliability Index of a Deep–Bedded Karst Tunnel Construction with Cavity Located Ahead of Tunnel Working Face

Random Responses of Shield Tunnel to New Tunnel Undercrossing Considering Spatial Variability of Soil Elastic Modulus

Analysis of the Buried Pipeline Response Induced by Twin Tunneling Using the Generalized Hermite Spectral Method

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