JZUS - Journal of Zhejiang University SCIENCE

Journal of Zhejiang University SCIENCE A

Accepted manuscript available online (unedited version)

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

Author(s): Cheng-ping Zhang^1;2, Kai-hang Han^1;2, Qian Fang^1;2, Ding-li Zhang^1;2
Affiliation(s): 1. MOE Key Lab of Urban Underground Engineering, Beijing Jiaotong University, Beijing 100044, China;2. School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China
Corresponding email(s): chpzhang@bjtu.edu.cn
Key Words: Deep tunnel, Tunnel roof collapse, Functional catastrophe theory, Hoek-Brown failure criterion

Share this article to： More <<< Previous Paper \|Next Paper >>>

Cheng-ping Zhang, Kai-hang Han, Qian Fang, Ding-li Zhang. Functional catastrophe analysis of collapse mechanisms for deep tunnels based on the Hoek-Brown failure criterion[J]. Journal of Zhejiang University Science A,in press.Frontiers of Information Technology & Electronic Engineering,in press.https://doi.org/10.1631/jzus.A1400014

@article{title="Functional catastrophe analysis of collapse mechanisms for deep tunnels based on the Hoek-Brown failure criterion",
author="Cheng-ping Zhang, Kai-hang Han, Qian Fang, Ding-li Zhang",
journal="Journal of Zhejiang University Science A",
year="in press",
publisher="Zhejiang University Press & Springer",
doi="https://doi.org/10.1631/jzus.A1400014"
}

%0 Journal Article
%T Functional catastrophe analysis of collapse mechanisms for deep tunnels based on the Hoek-Brown failure criterion
%A Cheng-ping Zhang
%A Kai-hang Han
%A Qian Fang
%A Ding-li Zhang
%J Journal of Zhejiang University SCIENCE A
%P 723-731
%@ 1673-565X
%D in press
%I Zhejiang University Press & Springer
doi="https://doi.org/10.1631/jzus.A1400014"

TY - JOUR
T1 - Functional catastrophe analysis of collapse mechanisms for deep tunnels based on the Hoek-Brown failure criterion
A1 - Cheng-ping Zhang
A1 - Kai-hang Han
A1 - Qian Fang
A1 - Ding-li Zhang
J0 - Journal of Zhejiang University Science A
SP - 723
EP - 731
%@ 1673-565X
Y1 - in press
PB - Zhejiang University Press & Springer
ER -
doi="https://doi.org/10.1631/jzus.A1400014"

Abstract
Chinese Summary
Academic Network
Reviewer Comment

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.

基于霍克-布朗准则的深埋隧道塌方机制泛函突变分析

研究目的：分析深埋隧道的塌方机制并推导塌方体形状曲线的解析表达式。
创新要点：基于霍克-布朗准则，采用泛函突变理论推导得到了深埋隧道塌方体形状曲线的解析表达式，并据此分析了围岩参数变化对塌方体形状的影响规律。
研究方法：通过理论分析建立深埋圆形隧道的解析模型（图1），采用泛函突变理论推导基于霍克-布朗准则的隧道塌方体形状曲线解析表达式，并研究围岩参数变化对塌方体形状的影响规律（图3和4，表2）。通过与自然拱理论和模型试验结果的对比（图5-7）验证本文解析解的正确性。
重要结论：采用泛函突变理论推导了基于霍克-布朗准则的深埋隧道塌方体形状曲线解析表达式。该解析表达式简洁直观，不仅可以预测无支护条件下隧道的塌落体尺寸，还可以估算塌落围岩作用于衬砌上的荷载。
深埋隧道；隧道塌方；泛函突变理论；霍克-布朗准则

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

References

[1] Du,X.F, 1994, Application of Catastrophe Theory in Economic Field. (in Chinese),University of Electronic Science and Technology Press,Chengdu, China.

[2] Fraldi,M, Guarracino,F, 2009, Limit analysis of collapse mechanisms in cavities and tunnels according to the Hoek-Brown failure criterion International Journal of Rock Mechanics & Mining Science, 46(4):665-673.

[3] Fraldi,M, Guarracino,F, 2010, Analytical solutions for collapse mechanisms in tunnels with arbitrary cross sections International Journal of Solids and Structures, 47(2):216-223.

[4] Fraldi,M, Guarracino,F, 2011, Evaluation of impending collapse in circular tunnels by analytical and numerical approaches Tunnelling and Underground Space Technology, 26(4):507-516.

[5] Fraldi,M, Gesualdo,A, Guarracino,F, 2014, Influence of actual plastic hinge placement on the behavior of ductile frames Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 15(7):482-495.

[6] Henley,S, 1976, Catastrophe theory models in geology Journal of the International Association for Mathematical Geology, 8(6):649-655.

[7] Hoek,E, Brown,E.T, 1980, Underground Excavations in Rock. Institute of Mining and Metallurgy,London, UK.

[8] Huang,F, Yang,X.L, 2011, Upper bound limit analysis of collapse shape for circular tunnel subjected to pore pressure based on the Hoek-Brown failure criterion Tunnelling and Underground Space Technology, 26(5):614-618.

[9] Huang,F, Yang,X.L, Zhao,L.H, 2012, Upper bound solution of supporting pressure for a shallow square tunnel based on the Hoek-Brown failure criterion Journal of Zhejiang University-SCIENCE A (Applied Physics & Engineering), 13(4):284-292.

[10] Li,H, 2013, Instability Mode and Corresponding Evolution Law of the Ground with Voids Induced by Shallow Tunnelling. MS Thesis,Beijing Jiaotong University,Beijing, China.

[11] Meng,Y, Lei,M.T, Lin,Y.S, 2012, Models and mechanisms of drilling-induced sinkhole in China Environmental Earth Sciences, 67(7):1961-1969.

[12] Miao,X.X, Li,S.C, Chen,Z.Q, 2009, Bifurcation and catastrophe of seepage flowsystem in broken rock Mining Science and Technology, 19(1):1-7.

[13] Pan,Y, Zhang,Y, Yu,G.M, 2006, Mechanism and catastrophe theory analysis of circular tunnel rockburst Applied Mathematics and Mechanics (English Edition), 27(6):841-852.

[14] Protodyakonov,M.M, 1907, Rock Pressure on Mine Support (Theory of Mine Support). (in Russian),Tipografiya Gubernskogo Zemstva,Yekaterinoslav.

[15] Qiu,Y.L, Zhang,X.X, Shi,B.T, 2012, Checking analysis of lining structural strength in aeolian sand tunnel Advanced Materials Research, 382():307-311.

[16] Ren,S, Wang,Z, Jiang,D.Y, 2013, . Third International Conference on Intelligent System Design and Engineering Applications, Yekaterinoslav, p. 1355-1357.

[17] Tao,Y, Cao,J, Hu,J.M, 2013, A cusp catastrophe model of mid-long-term landslide evolution over low latitude highlands of China Geomorphology, 187():80-85.

[18] Terzaghi,K, 1946, Rock Defects and Loads on Tunnel Supports. Harvard University Press,Massachusetts, USA.

[19] Thom,R, 1972, Structural Stability and Morphogenesis. Westview Press,Colorado, USA.

[20] Wang,G.Q, Wang,T, 2007, Calculus of Variations and Its Application in Solid Mechanics. (in Chinese),China Railway Publishing House,Beijing, China.

[21] Xia,C.C, Xu,C.B, Zhao,X, 2012, Study of the strength reduction DDA method and its application to mountain tunnel International Journal of Computational Methods, 9(3):1250041-.

- Go to

基于霍克-布朗准则的深埋隧道塌方机制泛函突变分析

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

References