Developments and applications of the numerical analysis of tunnels in continuous media

Gioda, Giancarlo; Swoboda, G.

doi:10.1002/(sici)1096-9853(199911)23:13<1393::aid-nag933>3.0.co;2-z

Cited by 55 publications

(9 citation statements)

References 65 publications

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“…And then, the face supporting pressure is reduced gradually; the influence of the magnitude of the face supporting pressure on the surrounding soil deformation is investigated. Such a simplified modeling scheme has been successfully adopted in previous studies [19, 20]. When grouting at shield tail, cement slurry fills gaps and infiltrates into soil mass then gradually hardens.…”

Section: Numerical Analysis For Failure Mechanism Of Dot Shield Tumentioning

confidence: 99%

Analysis of Face Stability during Excavation of Double‐O‐Tube Shield Tunnel

Yang

Zhou

et al. 2013

The Scientific World Journal

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This paper focuses on the face stability analysis of Double-O-Tube shield tunnel. This kind of analysis is significant to ensure the safety of workers and reduce the influence on the surrounding environment. The key point of the stability analysis is to determine the supporting pressure applied to the face by the shield. A collapse failure will occur when the supporting pressure is not sufficient to prevent the movement of the soil mass towards the tunnel. A three-dimensional collapse failure mechanism was presented in this paper. Based on the mechanism of a single circular shield tunnel, the mechanism of Double-O-Tube shield tunnel was established by using the fact that both of the mechanisms are symmetrical. Then by means of the kinematic theorem of limit analysis, the numerical results were obtained, and a design chart was provided. The finite difference software FLAC3D was applied to investigate the face failure mechanism of DOT shield tunnel established in this paper; the critical supporting pressures of the collapse failure mechanism in different strata (sand and silt) were calculated. Through comparative analysis, the theoretical values were very close to the numerical values. This shows that the face failure mechanism of DOT shield tunnel is reasonable, and it can be applied to the sand and silt strata.

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Section: Numerical Analysis For Failure Mechanism Of Dot Shield Tumentioning

confidence: 99%

Analysis of Face Stability during Excavation of Double‐O‐Tube Shield Tunnel

Yang

Zhou

et al. 2013

The Scientific World Journal

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“…Te numerous attempts to develop predictive solutions for the ground behaviour are classifed into the following three categories: the empirical method based on the Gaussian distribution curve (Peck [10]; Schmidt [11]; Celestino et al [12]; Mo et al [13]); numerical simulations relying on algorithms for model designs (Yan et al [2]; Gioda and Swoboda [14]; Gao et al [15]; Wang et al [16]; Wu et al [17]; Zhang et al [18]; Möller and Vermeer [19]; Amorosi et al [20]; Hasanpour [21]; Zheng et al [22]; Zheng et al [23]; Zhang et al [24]; Zhang et al [25]; Lü et al [26]); and the analytical solution proposed to predict the ground behaviour (Sagaseta [27]; Verruijt and Booker [28]; Verruijt [29]; Park [30]; Wang et al [31]; Pinto and Whittle [32]; Zhang et al [25]; Mabe et al [33]).…”

Section: Introductionmentioning

confidence: 99%

Settlement Prediction Based on the Relationship between the Empirical and Analytical Solutions of a Cylindrical Cavity under Undrained Conditions

Fogang

Liu

2023

Advances in Civil Engineering

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Settlements on the ground surface often relate to excavating an underground cavity in cities. Movement on the ground surface can create a void between the wall of the cylindrical cavity and the lining. Thus, this study proposes an approximate solution under undrained conditions, based on the relationship between the empirical and analytical methods for predicting ground settlement around a cylindrical cavity. Based on mathematical formulas, the results obtained by the geometrical representation are then associated with the experimental data. The study revealed that the settlement prediction is related either to ground surface loads or to the ground failure point. The expansion of the cylindrical cavity is solved as a linear elasticity problem using a system of first-order ordinary differential equations containing two components in the Cartesian coordinates. The stress distribution around the cylindrical cavity is evaluated based on a biaxial force. The proposed approaches show that the results (empirical and analytical) obtained are approximately similar. Hence, the relationship between the two methods can be best suited for predicting the settlement around a cylindrical cavity by evaluating both the maximum settlement and the maximum surface displacement.

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“…This complexity has encouraged the widespread use of numerical analyses, particularly non-linear finite element methods, over a period of more than 30 years (e.g., review by Gioda & Swoboda, 1999). Although these powerful numerical analyses undoubtedly provide the most comprehensive framework for modeling tunneling processes and interactions with other existing structures (e.g., Potts & Addenbrooke, 1997), their predictive accuracy is also closely tied to the knowledge of in situ conditions and the modeling of soil behavior.…”

Section: Introductionmentioning

confidence: 99%

Ground Movements due to Shallow Tunnels in Soft Ground. I: Analytical Solutions

Pinto

Whittle

2014

J. Geotech. Geoenviron. Eng.

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This paper presents simplified closed-form analytical solutions that can be used to interpret and predict ground movements caused by shallow tunneling in soft ground conditions. These solutions offer a more comprehensive framework for understanding the distribution of ground movements than widely used empirical functions. Analytical solutions for the displacement field within the ground mass are obtained for two basic modes of deformation corresponding to uniform convergence and ovalization at the wall of a circular tunnel cavity, based on the assumption of linear, elastic soil behavior. Deformation fields based on the superposition of fundamental, singularity solutions are shown to differ only slightly from analyses that consider the physical dimensions of the tunnel cavity, except in the case of very shallow tunnels. The Authors demonstrate a simplified method to account for soil plasticity in the analyses and illustrate closed-form solutions for a three-dimensional tunnel heading. A companion paper describes applications of these analyses to interpret field measurements of ground response to tunneling.

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Developments and applications of the numerical analysis of tunnels in continuous media

Cited by 55 publications

References 65 publications

Analysis of Face Stability during Excavation of Double‐O‐Tube Shield Tunnel

Analysis of Face Stability during Excavation of Double‐O‐Tube Shield Tunnel

Settlement Prediction Based on the Relationship between the Empirical and Analytical Solutions of a Cylindrical Cavity under Undrained Conditions

Ground Movements due to Shallow Tunnels in Soft Ground. I: Analytical Solutions

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