Probabilistic analysis of the longitudinal performance of shield tunnels based on a simplified finite element procedure and its surrogate model considering spatial soil variability

Wang, Zuxian; Shi, Chenghua; Chen, Haiyong; Peng, Zhu; Sun, Yan; Zheng, Xiaoyue

doi:10.1016/j.compgeo.2023.105662

Cited by 9 publications

(4 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The tunnelling-induced volume loss is about 0.37%. Combined with Equations ( 9), (14) and Table 1, the joint rotation stiffness k θ and the joint shearing stiffness k s for the Right tunnel of Shenzhen Metro Line 3 are 2.4×10 7 8.1 × 10 5 kN/m, respectively. The number of discrete nodes n 1 on a single tunnel ring is set to 7, which means the distance between adjacent nodes is 0.25 m. Figure 5 gives the obtained tunnel settlements from the finite element model (FEM) of Yu et al, 4 the Timoshenko-Winkler (TW) method, 4 the present solution and the measurement.…”

Section: Case 1: Field Measurements Of Shenzhen Metro Tunnelmentioning

confidence: 99%

“…Many researches have been carried out to perform the probabilistic analyses of the longitudinal shield tunnel responses to adjacent geotechnical activities. [12][13][14][15][16] Gong et al 12 performed a new probabilistic analysis framework for investigating the effects of the spatial variation of soil properties on the longitudinal behaviours of the shield tunnel. Zhang et al 13 focussed on the probabilistic assessment of the shield tunnel structures associating with extreme ground surface surcharge.…”

Section: Introductionmentioning

confidence: 99%

“…Zhang et al 13 focussed on the probabilistic assessment of the shield tunnel structures associating with extreme ground surface surcharge. Wang et al 14 established a probabilistic-based method to explore the shield tunnel performances subjected to ground surface surcharge by taking the spatial soil variability in account. However, currently few attentions have been made to assess the uncertainty analysis on the tunnelling-induced existing shield tunnel performances.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Probabilistic assessment of existing shield tunnel longitudinal responses to tunnelling

Liang,

Zhang,

et al. 2024

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

This paper proposes a probabilistic‐based framework to assess the failure probability of the existing shield tunnel owing to undercrossing tunnelling. A novel deterministic model using the two‐phase analysis method is presented to evaluate the longitudinal behaviours of the in‐service shield tunnel. First, the tunnelling‐induced settlement is estimated using the Loganathan and Poulos’ method; second, the longitudinal beam‐spring model (LBSM), which can explicitly consider the circumferential joints, is applied to reflect the performances of the existing shield tunnel. Two well‐documented case histories are selected to validate the effectiveness of the deterministic analysis model. The predictions are also compared with previous analytical methods. Afterward, to improve the computational efficiency, a surrogate model is then established to replace deterministic model and perform the global sensitivity analysis (GSA). A probabilistic analysis is further performed to explore the tunnelling‐induced deformation characteristics of the shield tunnel by means of Monte Carlo simulation (MCS) method. Parametric analyses are further performed to explore the influences of key variables on the failure probabilities of the existing shield tunnel. The results show the proposed deterministic model gives a satisfactory prediction in tunnelling‐induced responses of the existing shield tunnel. The LBSM can reflect the segmental ring and joint deformations more realistically. The uncertainties in the ground elastic modulus, joint rotation stiffness and the joint shearing stiffness dominate the tunnel settlement, joint opening and dislocation, respectively. The failure probability of tunnel settlement is more sensitive to volume loss than that of the joint opening and dislocation. The whole system failure probability is identical to that of the tunnel settlement failure mode. By increasing the coefficient of variation (COV) of random variables, probability density function (PDF) curves for neutral and pessimistic conditions become lower and wider, and the maximum joint opening and dislocation positions corresponding to the peaks of PDF apparently deviate from that of the determinate results. Increasing the two tunnel clearances, the allowable volume loss for opening and dislocation increase linearly, but it has insignificant influence on the tunnel failure mode. However, enlarge the new tunnel diameter leads to rapid decrease in the allowable volume loss for all failure modes.

show abstract

Section: Case 1: Field Measurements Of Shenzhen Metro Tunnelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Probabilistic assessment of existing shield tunnel longitudinal responses to tunnelling

Liang,

Zhang,

et al. 2024

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

show abstract

“…Random field theory, popularised by Vanmarcke (1977), has been employed to capture the spatial variability of soil. After its introduction, researchers have investigated the influence of soil spatial variability on tunnelling mechanics and deformation, such as face stability (Cheng et al 2019a;Mollon et al 2011;Zhang et al 2023) and longitudinal performance (Gong et al 2018;Huang et al 2015;Wang et al 2023). Ground motion, including GSS and surface horizontal displacement (SHD), is a recurrent topic in tunnel engineering because of its potential to damage the adjacent infrastructure and pose risks during tunnel operation, particularly in shield-driven tunnels (Zhang et al 2022b).…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of ground surface settlement induced by shield tunnelling considering the soil parameter spatial variability in loess strata

Zhang,

Lai,

Wang

et al. 2024

Preprint

View full text Add to dashboard Cite

Ground surface settlement (GSS) induced by shield tunnelling in loess soils represents a substantial challenge for geotechnical and structural engineers. Despite numerous attempts to predict GSS caused by tunnelling, considering the spatial variability of the soil parameters remains open. Thus, this study analysed the Lanzhou Metro Line 1 in China. In particular, the spatial variability of Young's modulus in the loess layer was simulated using random field theory coupled with finite difference analysis. Random fields were generated using the covariance matrix decomposition method, which is consistent with a specified numerical mesh. Subsequently, Monte Carlo simulations were performed using both deterministic and random field difference methods to explore the effect of horizontal scale fluctuations due to shield tunnelling on the ground motion. The results indicated that Young's modulus of loess exhibited a normal distribution. The vertical scale of fluctuation of Young's modulus in the loess layer spanned from 1.32 m to 1.51 m. These findings demonstrate that random field analysis can comprehensively characterise the trend, magnitude and fluctuation range of the GSS. Moreover, the findings indicate that GSS is underestimated when neglecting spatial variability compared with traditional deterministic analysis.

show abstract

Random analysis method for nonlinear interaction between shield tunnel and spatially variable soil

Gan,

Gong,

Liu

et al. 2024

Computers and Geotechnics

View full text Add to dashboard Cite

Probabilistic analysis of the longitudinal performance of shield tunnels based on a simplified finite element procedure and its surrogate model considering spatial soil variability

Cited by 9 publications

References 46 publications

Probabilistic assessment of existing shield tunnel longitudinal responses to tunnelling

Probabilistic assessment of existing shield tunnel longitudinal responses to tunnelling

Numerical analysis of ground surface settlement induced by shield tunnelling considering the soil parameter spatial variability in loess strata

Random analysis method for nonlinear interaction between shield tunnel and spatially variable soil

Contact Info

Product

Resources

About