Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek–Brown failure criterion

Fraldi, Massimiliano; Guarracino, Federico

doi:10.1016/j.ijrmms.2008.09.014

Cited by 235 publications

(124 citation statements)

References 8 publications

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“…First, the boundary condition of the ground surface is stress-free, which requires that the shear component of stress vanishes along this plane. According to Fraldi and Guarracino [16], the tangent line of the detaching curve = ( ) in = 1 must be perpendicular to the axis of = 1 (see Figure 3). Consider…”

Section: Catastrophe Analysis Of the Stability Of A Shallow Unlined Tmentioning

confidence: 99%

“…The velocity fields in the 2D and 3D stability analyses are based on the analytical works of Verruijt and Booker [14] and Sagaseta [15], respectively. Fraldi and Guarracino [16] and Yang and Huang [17] obtained the collapsed shape of a deep tunnel and shallow tunnel, respectively, based on the HoekBrown failure criterion by combining the upper bound of the limit analysis and the calculus of variations. Because the deformation and failure of tunnel surrounding rock are characterized by nonlinear and discontinuous phenomena, catastrophe theory is suitable for investigating the behaviors of tunnel collapse.…”

Section: Introductionmentioning

confidence: 99%

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Collapsed Shape of Shallow Unlined Tunnels Based on Functional Catastrophe Theory

Zhang

Han

2015

Mathematical Problems in Engineering

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This paper investigates the collapse mechanisms and possible collapsing block shapes of shallow unlined tunnels under conditions of plane strain. The analysis is performed following the framework from a branch of catastrophe theory, functional catastrophe theory. First, the basic principles of functional catastrophe theory are introduced. Then, an analytical solution for the shape curve of the collapsing block of a shallow unlined tunnel is derived using functional catastrophe theory based on the nonlinear HoekBrown failure criterion. The effects of the rock mass parameters of the proposed method on the shape and weight of the collapsing block are examined. Moreover, a critical cover depth expression to classify deep and shallow tunnels is proposed. The analytical results are consistent with those obtained by numerical simulation using the particle flow code, demonstrating the validity of the proposed analytical method. The obtained formulas can be used to predict the height and width of the collapsing block of a shallow unlined tunnel and to provide a direct estimate of the overburden on the tunnel lining. The obtained formulas can be easily used by tunnel engineers and researchers due to their simplicity.

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Section: Catastrophe Analysis Of the Stability Of A Shallow Unlined Tmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Collapsed Shape of Shallow Unlined Tunnels Based on Functional Catastrophe Theory

Zhang

Han

2015

Mathematical Problems in Engineering

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“…It changed the physical and mechanical properties of the surrounding rock and resulted in the change of the stress field and the displacement field [25][26][27][28][29][30][31]. A karst cave and the filling medium will make the construction mechanics more complex and easily cause excessive stress concentration in the surrounding rock, which results in an increase of deformation of the tunnel's surrounding rock [32,33].…”

Section: Introductionmentioning

confidence: 99%

Assessment of a Concealed Karst Cave’s Influence on Karst Tunnel Stability: A Case Study of the Huaguoshan Tunnel, China

Huang

et al. 2018

Sustainability

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Abstract:In order to assess a concealed karst cave's influence on karst tunnel stability, an assessment model is proposed based on the analytic hierarchy process and a statistical analysis of relevant engineering projects. Major factors are studied and selected as impact factors of the assessment model based on a statistical analysis on a karst cave' s development conditions (karst hydrogeological and engineering geological conditions), construction conditions, and controlling measures. A weight analysis of factors shows that the surrounding rock grade, supporting measurement, formation lithology, unfavorable geology, construction methods, blasting techniques, advanced geological forecast, and groundwater level are the main controlling factors of the tunnel stability when there is a concealed karst cave in the tunnel. Topography and geomorphology, attitude of rocks, monitoring measurement, strata combination, and interlayer fissures are the minor influence factors. Tunnel section shapes, in situ stress, and geological logging are the least important factors. The proposed method is successfully applied to the assessment of a concealed karst cave's influence on the stability of the Huaguoshan Tunnel on the Enshi-Laifeng and Enshi-Qianjiang Expressways. The evaluation result agrees well with the construction site situation. In addition, the result provides good guidance with respect to the implementation of the treatment scheme and effectively avoids accidents in real-time.

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“…Terzaghi (1946), who first used the stress-transfer theory to analyze the characteristics of tunnel collapses, also developed a system to estimate the degree of tunnel safety. After Terzaghi, many researchers have extensively investigated the mechanisms of tunnel collapses by using the upper-bound theory (Fraldi and Guarracino, 2009;2010;Huang and Yang, 2011;Huang et al, 2012;Fraldi et al, 2014).…”

Section: Introductionmentioning

confidence: 99%

Functional catastrophe analysis of collapse mechanisms for deep tunnels based on the Hoek-Brown failure criterion

Zhang

Han

Fang

et al. 2014

J. Zhejiang Univ. Sci. A

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Abstract:A reliable prediction of the characteristics of roof collapse in deep tunnels is still one of the most important and challenging tasks in tunnel engineering. To investigate the collapse mechanisms and possible shapes of the collapsing blocks in deep tunnels, an analytical solution of shape curves for collapsing blocks is derived based on the nonlinear Hoek-Brown failure criterion by using the functional catastrophe theory. The obtained formulas are extremely simple. Furthermore, a judging criterion is proposed to distinguish whether the roof collapses of deep tunnels will occur or not. The effects of rock mass parameters used in the proposed method on the collapsing block shapes of deep tunnels are also discussed. The proposed analytical solution is verified by both the empirical method and the model test.

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Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek–Brown failure criterion

Cited by 235 publications

References 8 publications

Collapsed Shape of Shallow Unlined Tunnels Based on Functional Catastrophe Theory

Collapsed Shape of Shallow Unlined Tunnels Based on Functional Catastrophe Theory

Assessment of a Concealed Karst Cave’s Influence on Karst Tunnel Stability: A Case Study of the Huaguoshan Tunnel, China

Functional catastrophe analysis of collapse mechanisms for deep tunnels based on the Hoek-Brown failure criterion

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