Analytical Solution for Lined Circular Tunnels in Deep Viscoelastic Burgers Rock Considering the Longitudinal Discontinuous Excavation and Sequential Installation of Liners

Chu, Zhaofei; Liu, Quansheng; Liu, Baoguo; Sun, Jinglai

doi:10.1061/(asce)em.1943-7889.0001912

Cited by 65 publications

(7 citation statements)

References 82 publications

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“…Deep excavation in squeezing grounds for tunnel engineers normally implies excessive tunnel convergences [ 1 , 2 , 3 , 4 , 5 , 6 , 7 ], and these rock deformations usually take slowly, sometimes lasting for one week, several months, or more than one year, after tunnel excavation is completed [ 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 ]. Conventional rigid tunnel shotcrete linings, where rock deformations are strictly limited, are unable to work against great overburden pressure which is triggered by considerable rock deformations [ 16 , 17 ], and the bad phenomenons of shotcrete falls or cracking, or even serious tunnel collapse are often observed [ 18 , 19 ].…”

Section: Introductionmentioning

confidence: 99%

Tunnel Squeezing Deformation Control and the Use of Yielding Elements in Shotcrete Linings: A Review

Zheng

Shao

et al. 2022

Materials

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Shotcrete lining shows high resistance but extremely low deformability. The utilization of yielding elements in shotcrete lining, which leads to the so-called ductile lining, provides a good solution to cope with tunnel squeezing deformations. Although ductile lining exhibits great advantages regarding tunnel squeezing deformation control, little information has been comprehensively and systematically available for its mechanism and design. This is a review paper for the purpose of summarizing the development history and discussing the state of the art of ductile lining. It begins by providing a brief introduction of ductile lining and an explanation of the importance of studying this issue. A following summary of supporting mechanism and benefits of ductile lining used in tunnels excavated in squeezing ground conditions is provided. Then, it summarizes the four main types of yielding elements applied in shotcrete lining and introduces their basic structures and mechanical performances. The influences of parameters of yielding elements on the supporting effect are discussed and the design methods for ductile lining are reviewed as well. Furthermore, recommendations for further research in ductile lining are proposed. Finally, a brief summary is presented.

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Section: Introductionmentioning

confidence: 99%

Tunnel Squeezing Deformation Control and the Use of Yielding Elements in Shotcrete Linings: A Review

Zheng

Shao

et al. 2022

Materials

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“…Strength criterion takes on a critical signi cance in indicating the failure characteristics of rock mass [12][13][14]. A simple M-C linear criterion cannot truly characterize the characteristics of rock mass.…”

Section: Introductionmentioning

confidence: 99%

Application of the Slope Coefficient of the Equivalent M–C Criterion in Layered Rock Mass Engineering

Liu

Zhang

et al. 2022

Advances in Civil Engineering

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The slope coefficient ω is defined based on the insufficiency of the area equivalent method, the slope of the equivalent M–C criterion obtained from the instantaneous equivalent, and the optimal first-order approximation to reduce the error between the simulated value and the measured value of the surrounding rock and ensure the safety of the project. Different ω conditions are set to obtain multiple equivalent M–C strength parameter combinations. The above combinations are input to the ubiquitous joint model of FLAC3D, and the surrounding rock strength of layered tunnels with different inclination angles (0°, 30°, 45°, 60°, and 90°) is corrected. The results show that (1) after the tunnel excavation is completed, the displacement of key points (e.g., the vault and waist) increases when the slope coefficient is increased and the deviator stress decreases when the slope coefficient is increased. (2) After the area equivalent method is revised, the displacement and the deviator stress are more significantly affected by the inclination of the rock strata than the uncorrected ones, suggesting that the equivalent area can more effectively highlight the anisotropy characteristics of the layered surrounding rock. (3) After the simulation results of the displacement and the deviator stress at the respective key point are comprehensively modified, the optimal slope coefficient corresponding to each rock layer inclination is obtained, and the area is optimized by ensuring reasonableness to reduce the error between the simulated value and the measured value. (4) The layered surrounding rock at a dip angle of 30° is studied. The development of the plastic zone is promoted when the slope coefficient is increased, and the rock shear failure and the joint shear failure occur simultaneously on both sides of its axis.

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“…Typically, mechanical models simulating the time-dependent behaviour of geomaterials are based on viscoelastic rheological models (Weng et al 2010;Wang et al 2014a;Song 2021), and these models generally consist of elastic springs and viscous dashpots in parallel or/and in series (Paraskevopoulou 2016;Song 2021). Based on the viscoelastic models, including Maxwell, Kelvin, Generalized Kelvin and Burgers models, some researchers developed theoretical solutions to analyse underground structures, such as circular openings (Brady and Brown 1986;Wang and Nie 2010;Wang et al 2020b), or supported tunnels (Lo and Yuen 1981;Sulem et al 1987;Pan and Dong 1991;El Naggar et al 2008;Mason and Abelman 2009;Fahimifar et al 2010;Nomikos et al 2011;Song et al 2018a, b;Chu et al 2021) excavated in time-dependent rocks. On the other hand, some researchers developed numerical approaches for modelling the excavation of tunnels in time-dependent geomaterials (Paraskevopoulou 2016;Paraskevopoulou and Diederichs 2018;Song et al 2020;Song 2021).…”

Section: Introductionmentioning

confidence: 99%

Modelling underground excavations in rock masses with anisotropic time-dependent behaviour

Song

Rodríguez-Dono

Farfan

2022

Geomech. Geophys. Geo-energ. Geo-resour.

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When modelling rock masses that behave anisotropically and in addition present a time dependent behaviour, it is relevant to select a constitutive model able to represent their actual behaviour realistically. This article presents an alternative anisotropic time-dependent constitutive model able to predict the coupling between anisotropic behaviour and time-dependent (or viscous) behaviour. The viscous behaviour is simulated with the Burgers model and all elastic springs and viscous dashpots are considered to exhibit transversely isotropic properties. The proposed constitutive model has been implemented in the finite element method software CODE_BRIGHT. To verify the basic anisotropic elastic solution, it has been compared with that of PLAXIS results. And to verify the isotropic viscoelastic solution, it has been compared with analytical solutions. Furthermore, the proposed constitutive model has been used to predict the behaviour of samples from laboratory tests. Finally, parametric analyses have been carried out to investigate the influence of different factors on tunnelling responses, including the selection of different constitutive models, anisotropy of initial stresses and anisotropy of material properties. The proposed model provides an alternative method for the preliminary design of geotechnical engineering works involving geomaterials that exhibit anisotropic time-dependent behaviour.Article highlights • An anisotropic time-dependent model has been implemented in CODE_BRIGHT and validated. • The model can predict the coupled anisotropic time-dependent behaviour of geomaterials. • Parametric analyses have been performed to study the influence of different factors in ground response.

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Analytical Solution for Lined Circular Tunnels in Deep Viscoelastic Burgers Rock Considering the Longitudinal Discontinuous Excavation and Sequential Installation of Liners

Cited by 65 publications

References 82 publications

Tunnel Squeezing Deformation Control and the Use of Yielding Elements in Shotcrete Linings: A Review

Tunnel Squeezing Deformation Control and the Use of Yielding Elements in Shotcrete Linings: A Review

Application of the Slope Coefficient of the Equivalent M–C Criterion in Layered Rock Mass Engineering

Modelling underground excavations in rock masses with anisotropic time-dependent behaviour

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