2D and 3D stability analysis of tunnel roof collapse in stratified rock: A kinematic approach

Qin, Changbing; Chian, Siau Chen

doi:10.1016/j.ijrmms.2017.10.027

Cited by 24 publications

(18 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…According to this, the fracture width l 1 − l n+1 of the collapsed soil masses can be obtained by simultaneously solving equations (26) and (27). en, the roof collapse area of the shallow soil tunnel in layered strata can be determined.…”

Section: Determination Of Ree-dimensional Collapse Modementioning

confidence: 99%

“…Other factors like the pore water pressure and ground overload also have a direct impact on tunnel failure and stability. Yang et al [23][24][25] as well as Qin et al [26][27][28][29] once incorporated the nonhomogeneous and stratified characteristics of the strata into their analysis of the roof collapse, which may provide a good theoretical basis for this paper; however, their research is only applicable to deep tunnels.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Three‐Dimensional Upper Bound Limit Analysis on the Collapse of Shallow Soil Tunnels considering Roof Stratification and Pore Water Pressure

Wang

Liu

Liu³

et al. 2019

Mathematical Problems in Engineering

View full text Add to dashboard Cite

Based on the plastic upper bound theorem, a three-dimensional kinematically admissible velocity field is constructed for the collapse of the soil masses above a shallow tunnel. In this field, this paper considers the influences of the roof stratification, pore water pressure, ground overload, and support pressure. This study deduced the upper bound solutions of the weight of the collapsed soil masses and the corresponding collapse surfaces by utilizing the nonlinear failure criterion, associated flow rule, and variation principle. Furthermore, we verified the validity of the proposed method in this paper by comparing this research with the existing work and numerical simulation results. This study obtains the influence laws of varying parameters on the area and weight of the collapsed soil masses. The results reveal that the area and weight of the collapsed soil masses increase with increasing support pressure and soil cohesion, but decrease with increasing thickness of the upper soil layer, nonlinear coefficient, pore water pressure, and ground overload. Among them, the roof stratification, pore water pressure, soil cohesion, and nonlinear coefficient have a significant influence on tunnel collapse, which should be given special consideration in engineering design.

show abstract

Section: Determination Of Ree-dimensional Collapse Modementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Three‐Dimensional Upper Bound Limit Analysis on the Collapse of Shallow Soil Tunnels considering Roof Stratification and Pore Water Pressure

Wang

Liu

Liu³

et al. 2019

Mathematical Problems in Engineering

View full text Add to dashboard Cite

show abstract

“…Chen [22] introduced the limit analysis theory in 1975, which includes upper and lower bound theorem. Then, the limit analysis theory was adopted to investigate geotechnical engineering problems because of its accuracy and convenience, especially for the upper bound theorem [9,[15][16][17][18][19][20][21]23]. According to Chen, the upper bound theorem can be formulated as: the energy dissipated by the external loads being equated to the energy dissipated by any kinematically admissible velocity field to determine a rigorous upper bound on the true limit load while satisfying the velocity boundary conditions, the plastic flue rule, and compatibility.…”

Section: Upper Bound Theorem Of Limit Analysismentioning

confidence: 99%

“…In previous studies, the upper bound theorem was often used to study the collapse mechanism of arbitrary tunnel sections owing to its convenience. In this study, we constructed a progressive asymmetrical collapse mechanism of rectangular and circular tunnels passing through two inclined rock layers, with reference to Qin et al [19,20] and Fraldi and Guarracino [13,14], and a new collapsing block composed of four continuous sections was built to describe the most approximate mechanism in inclined rock strata. Specifically, two pairs of corresponding mechanical parameters are used to differentiate the different characteristics of the geomaterials.…”

Section: Progressive Asymmetrical Collapse Mechanism In Inclined Rockmentioning

confidence: 99%

“…Based on the limit analysis theorem and the variational approach, analytic solutions of the shape and region of collapsing blocks were acquired. Qin and Chian [20] also investigated the effects of rock weathering and a changing water table on collapsing blocks in layered rock masses. Yang and Zhou [21] employed a reliability-based analysis to examine the shape of collapsing blocks in rectangular tunnels considering seepage pressure through further research, and found that the supporting pressure had a profound impact on the reliability index.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Limit Analysis of Progressive Asymmetrical Collapse Failure of Tunnels in Inclined Rock Stratum

2019

View full text Add to dashboard Cite

Tunnels commonly pass through inclined rock stratum, but research on the collapse of the rock surrounding the tunnels in inclined rock strata is currently underdeveloped. The purpose of this study was to predict the progressive asymmetrical collapse failure of deep-buried tunnels in inclined rock strata to decrease the risk of collapse during tunnel construction. We constructed a new two-dimensional progressive asymmetrical collapse failure mechanism for deep-buried tunnels in inclined rock layers to analyze their collapse failure characteristics with the help of the nonlinear Hoek–Brown yield criterion and the limit analysis theorem. The calculation equations of the range and total weight of the asymmetrical collapsing block in rectangular and circular tunnels were obtained via theoretical derivation. The validity of the proposed method in this work was verified by comparison with existing research. To discuss the impact of different parameters on the range and total weight of an asymmetrical collapsing block of the surrounding rock in inclined rock stratum, the range and total weight of the asymmetrical collapsing block of the most common rectangular and circular tunnels under the varied parameters are provided. The results of this study can provide useful support for practical tunnel construction and design.

show abstract

Upper bound limit analysis of roof collapse of deep cavities in unsaturated soils

Zhao

Tai

et al. 2022

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

The roof collapse of deep cavities has been investigated only under fully dry or saturated conditions. However, natural soils are largely unsaturated, and consequently, their mechanical behavior is significantly different owing to the presence of matric suction. In this study, a novel analytical solution for the roof collapse of deep cavities in unsaturated soils is developed based on the upper bound theorem and the nonlinear Mohr-Coulomb criterion, and the width of a cavity with an arbitrary shape at collapse is derived. Subsequently, a parametric study is conducted to investigate the effects of water retention properties, effective cohesion, friction angle, supporting pressure, and nonlinear coefficient on the safety factors of rectangular deep cavities. It is found that matric suction and soil type have significant influences on the stability of deep cavities. There is a peak for the safety factors of deep cavities as the matric suction increases when the waterholding capacity of the soil is low. This novel analytical solution provides a new insight into the stability of deep cavities in unsaturated soils.

show abstract

2D and 3D stability analysis of tunnel roof collapse in stratified rock: A kinematic approach

Cited by 24 publications

References 14 publications

Three‐Dimensional Upper Bound Limit Analysis on the Collapse of Shallow Soil Tunnels considering Roof Stratification and Pore Water Pressure

Three‐Dimensional Upper Bound Limit Analysis on the Collapse of Shallow Soil Tunnels considering Roof Stratification and Pore Water Pressure

Limit Analysis of Progressive Asymmetrical Collapse Failure of Tunnels in Inclined Rock Stratum

Upper bound limit analysis of roof collapse of deep cavities in unsaturated soils

Contact Info

Product

Resources

About