Upper bound limit analysis of unsymmetrical progressive collapse of shallow tunnels in inclined rock stratum

Lyu, Cheng; Zeng, Zhengqiang

doi:10.1016/j.compgeo.2019.103199

Cited by 25 publications

(6 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Several failure mechanisms have been proposed to discuss the stability of tunnel roofs subject to more complicated conditions, such as progressive failure caused by weak and fractured surrounding rocks or groundwater. [5][6][7][8][9] The aforementioned studies under 2D plane strain were unable to consider the influence of 3D geometrical characteristics on the stability of the tunnel roof. However, 3D geometrical characteristics may play decisive roles in both the stability and collapse characteristics of tunnel roofs.…”

Section: Introductionmentioning

confidence: 99%

Three‐dimensional stability analysis for a deep‐buried tunnel roof considering soil stratum strength nonlinearity

Xu,

Wang,

Wang

et al. 2024

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

A three‐dimensional (3D) collapse mechanism was employed in this work to investigate the roof stability of deep‐buried cylindrical tunnels in soil considering strength nonlinearity. Based on the kinematic approach of limit analysis, three tunnel roof stability measures, namely, the stability number, the required support pressure, and the factor of safety solutions were derived to provide quantitative indicators for evaluating tunnel roof stability. Optimal upper bound solutions for these measures were obtained through optimization. Subsequently, the effects of soil strength nonlinearity and 3D geometry characteristics on roof stability and the profiles of collapsing blocks were investigated: The increase in the nonlinear coefficient m and the tensile strength σt, as well as the decrease in the initial cohesion c0, will lead to a deterioration in the stability of the tunnel roof, and also result in a larger range of collapse blocks of the tunnel roof. A 3D stability analysis of the tunnel roof can provide more reasonable stability estimates than a 2D stability analysis. When the length‐to‐radius ratio L/R → ∞, the 2D solution results.

show abstract

Section: Introductionmentioning

confidence: 99%

Three‐dimensional stability analysis for a deep‐buried tunnel roof considering soil stratum strength nonlinearity

Xu,

Wang,

Wang

et al. 2024

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

show abstract

“…Ding et al (2019) proposed a new three-dimensional collapse mechanism, which shows that the working face stability of a circular tunnel in pure clay soil is related to the cover diameter ratio and provides a scheme for soft soil tunnel collapsing stability. By utilizing the upper bound theorem of limit analysis and the nonlinear Hoek-Brown yield criterion, Lyu and Zeng (2019) obtained the range of potential collapse blocks and the total gravity equations of rectangular and circular tunnels in shallow tunnels under the inclined strata using the variational principle. These theoretical investigations serve as a theoretical foundation for the application of other research approaches.…”

Section: Introductionmentioning

confidence: 99%

Mechanism and Sensitivity Analysis of Collapse in Large Section Mountain Neighborhood Tunnels

et al. 2022

View full text Add to dashboard Cite

Collapse is one of the most frequent geological disasters in mountain tunnel engineering, posing major safety concerns for underground structures and construction crews. According to a catastrophic collapse in the shallow buried area of the Huangjiakuang tunnel in Weihai City, Shandong Province, the contributing factors, that is, the surrounding rock property, influence of neighboring tunnel construction, and tunnel over-excavation are systematically investigated. The tunnel collapse, breaks through the ground surface, is inverted using MIDAS GTS NX. A tunnel deformation analysis model is created using the quantitative methods of grey relation analysis and entropy weight methods based on crown settlement and lateral wall horizontal contraction during tunnel excavation. The surrounding rock property, the distance between the left and right tunnel faces, and the over-excavation height have a significant effect on tunnel deformation, which are quantitatively interpreted using the tunnel deformation analysis model. This study is valuable for the multi-factor analysis of tunnel deformation and determining the main contributing factors to the collapse quantitatively.

show abstract

“…Wang et al [33,34] proposed two kinds of collapse mechanisms for a shallow tunnel by incorporating the effects of changing groundwater table and pore water pressure. Lyu and Zeng [35] investigated the collapse of shallow tunnels in inclined rock stratum.…”

Section: Introductionmentioning

confidence: 99%

Prediction of the Required Supporting Pressure for a Shallow Tunnel in Layered Rock Strata Based on 2D and 3D Upper Bound Limit Analysis

Wang

Chi²,

Liu

et al. 2020

Advances in Civil Engineering

View full text Add to dashboard Cite

Determination of the required supporting pressure is the premise of tunnel support design. Only when the support design meets the requirements can the tunnel be safe and stable during construction and operation. This paper focuses on a shallow tunnel in layered rock strata and proposes a method for predicting the required supporting pressure. In this method, the 2D and 3D failure mechanisms are constructed, respectively. The analytical solutions of the supporting pressure corresponding to the two cases are derived on the basis of upper bound theorem and Hoek–Brown failure criterion. Then, the proposed method is validated by comparing with the results of existing research studies. Furthermore, a shallow tunnel in two-layer rock strata is chosen to illustrate the difference between the two solutions. The comparison shows that the supporting pressure in the 2D case is greater than that in the 3D case in general and it tends to be conservative for tunnel design. Conversely, the 3D solution may help to reduce the support cost. Furthermore, the change laws of the supporting pressure and failure range corresponding to varying parameters are obtained. These results may practically provide theoretical references for tunnel support design in layered rock strata.

show abstract

Upper bound limit analysis of unsymmetrical progressive collapse of shallow tunnels in inclined rock stratum

Cited by 25 publications

References 26 publications

Three‐dimensional stability analysis for a deep‐buried tunnel roof considering soil stratum strength nonlinearity

Three‐dimensional stability analysis for a deep‐buried tunnel roof considering soil stratum strength nonlinearity

Mechanism and Sensitivity Analysis of Collapse in Large Section Mountain Neighborhood Tunnels

Prediction of the Required Supporting Pressure for a Shallow Tunnel in Layered Rock Strata Based on 2D and 3D Upper Bound Limit Analysis

Contact Info

Product

Resources

About