A limit equilibrium model for the reinforced face stability analysis of a shallow tunnel in cohesive-frictional soils

Zhang, Xiao; Wang, Mingnian; Wang, Zhilong; Li, Jiawang; Tong, Jianjun; Liu, Dagang

doi:10.1016/j.tust.2020.103562

Cited by 36 publications

(12 citation statements)

References 48 publications

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“…Previous studies already raised some models of reinforced by bolts based on limit equilibrium (Perazzelli et al, 2017;Zhang et al, 2020). But few studies using the limit analysis.…”

Section: The Reinforced Model By Boltsmentioning

confidence: 99%

Stability of Tunnel Face Reinforced by Bolts under Seepage Flow Conditions

Liu

2021

KSCE J Civ Eng

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This paper proposed a calculation method for bolts reinforcement of tunnel face under the seepage condition. The existence of seepage in tunnel engineering may greatly reduce the stability of tunnel face, and bolts reinforcement technology is widely used in traditional tunnel engineering. In this paper, a 3D rotational failure mechanism is proposed by the kinematics method combined with the discretization technique. The pore water pressure was added in the energy calculation based on the empirical distribution formula of water head. The interaction between soil and bolts is simulated by using a finite thickness interaction region. The method was compared with the published works in order to verify the effectiveness. The influence of the bolt length, the bolt strength, the hydraulic head size, the face height and the soil parameters are given in the form of some graph. Tunnel face Stability Reinforcement Bolts Kinematic upper-bound approach Seepage flow CORRESPONDENCE Lili Liu

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“…Previous studies already raised some models of reinforced by bolts based on limit equilibrium (Perazzelli et al, 2017;Zhang et al, 2020). But few studies using the limit analysis.…”

Section: The Reinforced Model By Boltsmentioning

confidence: 99%

Stability of Tunnel Face Reinforced by Bolts under Seepage Flow Conditions

Liu

2021

KSCE J Civ Eng

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“…In frictional and frictional-cohesive soils, several centrifuge model tests 2 – 6 , and 1 g model tests 7 – 9 have been performed to study the limit support pressure and failure mechanism of the tunnel face. The test results revealed the failure mechanism and provided a reference for the verification of numerical and theoretical methods.…”

Section: Introductionmentioning

confidence: 99%

“…Horn 18 proposed the wedge-silo model, and the first practical application of this model was conducted by Jancsecz and Steiner 19 based on the limit equilibrium method. Later, this model was improved to be more accurate 20 – 22 and modified to consider the effects of the heterogeneity of the ground 23 , reinforcements 6 , 24 , 25 , unsupported span 26 and seepage flow 27 . However, even the wedge-silo model has been widely employed owing to its simplicity, the necessary assumptions (especially the simplified failure mechanism and the lateral pressure coefficient) make this model not rigorous enough.…”

Section: Introductionmentioning

confidence: 99%

Numerical analyses for three-dimensional face stability of circular tunnels in purely cohesive soils with linearly increasing strength

Huang,

Yu,

Zhao

et al. 2024

Sci Rep

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The tunnel face stability in purely cohesive soils with linearly increasing strength was investigated using three-dimensional finite element limit analysis (FELA). Both the collapse (active failure) and blow-out (passive failure) of the tunnel face were considered in the analysis. The rigorous upper bound (UB) and lower bound (LB) solutions of the load factor were calculated with a wide range of ground conditions to cover a broad scope of practical application. The results showed that the whole surface of the face is at failure in the collapse case; while in the blow-out case, there exists a gradual evolution process from partial failure to global failure within the tunnel face with increasing buried depth. Later, based on 960 finite element limit analysis results, a series of practical equations were proposed for tunnel face stability analysis in purely cohesive soils. These equations can be employed to quickly calculate the UB and LB solutions of the limit support pressure and the stability number of a tunnel face in both the collapse and blow-out cases. Finally, the calculation results from these equations were compared with those from previous studies in detail. The comparisons showed that the proposed equations make an improvement over existing methods and can be used as an efficient tool in practical engineering.

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“…The analysis methods for assessing the stability of geotechnical problems include limit equilibrium (LE) [8][9][10][11], experimental modeling (ME) [12], computational simulation (CS) [13,14], and kinematically limited analysis (KLA) [15][16][17][18]. Among these methods, LE is commonly employed for investigating the stability of tunnel faces by solving static equilibrium equations.…”

Section: Introductionmentioning

confidence: 99%

Stability Analysis of Three-Dimensional Tunnel Face Considering Linear and Nonlinear Strength in Unsaturated Soil

Yang,

Liao,

Zhu

2024

Applied Sciences

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The shear strength of unsaturated soils exhibits significant nonlinearity, while previous studies often simplified it with linear strength models. The objective of this paper is to investigate the distinctions in the stability of three-dimensional (3D) tunnel faces when using linear and nonlinear strength models. A new 3D rotational failure mechanism and an extended form of the Mohr–Coulomb (M-C) failure criterion were integrated into the kinematically limited analysis (KLA) framework to describe the failure characteristics of tunnel faces. Subsequently, the factor of safety (FS) of the 3D tunnel faces was calculated using the strength reduction method (SRM). In the discussion section, the impacts of nonlinear shear strength, matric suction in the unsaturated soils, and the 3D geometric parameters of the tunnel on the stability of the tunnel face were analyzed. The outcomes indicate that, in unsaturated soil conditions, diverse nonlinear strength calculation models and soil types exert disparate influences on the FS of 3D tunnel faces. The main novelty of this study lies in establishing an effective method for assessing the stability of tunnel faces in unsaturated soils.

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A limit equilibrium model for the reinforced face stability analysis of a shallow tunnel in cohesive-frictional soils

Cited by 36 publications

References 48 publications

Stability of Tunnel Face Reinforced by Bolts under Seepage Flow Conditions

Stability of Tunnel Face Reinforced by Bolts under Seepage Flow Conditions

Numerical analyses for three-dimensional face stability of circular tunnels in purely cohesive soils with linearly increasing strength

Stability Analysis of Three-Dimensional Tunnel Face Considering Linear and Nonlinear Strength in Unsaturated Soil

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