Advertisement

Reliability-based design of deep tunnel excavated in the viscoelastic Burgers rocks

  • Ngoc-Tuyen TranEmail author
  • Duc-Phi Do
  • Dashnor Hoxha
  • Minh-Ngoc Vu
Conference paper
First Online:
Part of the Lecture Notes in Civil Engineering book series (LNCE, volume 62)

Abstract

The determination of the optimal liner thickness is an important task in the design of tunnels. To take into account the heterogeneous characteristic in nature of the surrounding rock mass, the deterministic approach by using the factor of safety of different parameters involved in the design process has been largely chosen. However, this approach can overestimate or underestimate the support thickness, particularly in the case of highly heterogeneous rocks. As an improvement, the application of the probabilistic methods in the design process to optimize the liner thickness, known as the Reliability-Based Design Optimization (RBDO) has been intensively conducted in the last decade. In this context, the present contribution aims at optimizing the liner thickness of the deep tunnel excavated in a viscoelastic medium (Burgers rock) by performing the probabilistic method (Subset Simulation (SS)). This developed RBDO process allows considering the elapsed installation time of liner with respect to the excavation of the tunnel while the optimal liner thickness is determined from two failure modes, namely the support capacity criterion and the maximum tunnel convergence.

Keywords

Deep tunnel Reliability-based design optimization Viscoelastic Burgers rock 
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Armand, G., A. Noiret, J. Zghondi, and D. M. Seyedi. (2013). Short- and long-term behaviors of drifts in the Callovo-Oxfordian claystone at the Meuse/Haute-Marne Underground Research Geotechnical Engineering 5. Taibah University: 221–230.Google Scholar
  2. Au, S K, J Ching, and J L Beck. (2007). Application of subset simulation methods to reliability benchmark problems. Structural safety 29. Elsevier: 183–193.Google Scholar
  3. Au, Siu-Kui, and James L Beck. (2001). Estimation of small failure probabilities in high dimensions by subset simulation. Probabilistic engineering mechanics 16. Elsevier: 263–277.Google Scholar
  4. Breitung, Karl. (2015). 40 years FORM: Some new aspects? Probabilistic Engineering Mechanics 42: 71–77.CrossRefGoogle Scholar
  5. Bucher, Christian G, and U Bourgund. (1990). A fast and efficient response surface approach for structural reliability problems. Structural safety 7. Elsevier: 57–66.Google Scholar
  6. Bukaçi, E, Th Korini, E Periku, S Allkja, and P Sheperi. (2016). Open Access Reliability Analysis for Tunnel Supports System by Using Finite Element Method American Journal of Engineering Research (AJER): 3–10.Google Scholar
  7. Do, Duc Phi, Ngoc Tuyen Tran, Van Trung Mai, Dashnor Hoxha, and Minh Ngoc Vu. (2019). Time-dependent reliability analysis of deep tunnel in the viscoelastic Burgers rock with the sequential installation of liners. Rock Mechanics and Rock Engineering. Accepted.CrossRefGoogle Scholar
  8. Fahimifar, Ahmad, Farshad Monshizadeh Tehrani, Ahmadreza Hedayat, and Arash Vakilzadeh. (2010). Analytical solution for the excavation of circular tunnels in a visco-elastic Burgers’s material under hydrostatic stress field. Tunnelling and Underground Space Technology.Google Scholar
  9. Goswami, Somdatta, Shyamal Ghosh, and Subrata Chakraborty. (2016). Reliability analysis of structures by iterative improved response surface method. Structural Safety 60. Elsevier Ltd: 56–66.Google Scholar
  10. Haldar Achintya, and Sankaran Mahadevan. (1995). First-order and second- order reliability methods. Probabilistic Structural Mechanics Handbook - Champman & Hall: 26.Google Scholar
  11. Hamrouni, Adam, Daniel Dias, and Badreddine Sbartai. (2017). Reliability analysis of shallow tunnels using the response surface methodology. Underground Space 2. Tongji University and Tongji University Press: 246–258.Google Scholar
  12. ITA. (1988). Guidelines for the design of tunnels. Tunnelling and Underground Space Technology incorporating Trenchless 3: 237–249.CrossRefGoogle Scholar
  13. Jiang, Shui-Hua, Dian-Qing Li, Li Min Zhang, and Chuangbing Zhou. (2014). Time-dependent system reliability of anchored rock slopes considering rock bolt corrosion effect. In.Google Scholar
  14. Der Kiureghian, Armen. (2005). First-and second order reliability methods. In Engineering design reliability handbook. CRC Press Boca Raton, FL.Google Scholar
  15. Laso, Enrique, M Sagrario Gómez Lera, and Enrique Alarcón. (1995). A level II reliability approach to tunnel support design. Applied mathematical modelling 19. Elsevier: 371–382.Google Scholar
  16. Li, Hang Zhou, and Bak Kong Low. (2010). Reliability analysis of circular tunnel under hydrostatic stress field. Computers and Geotechnics 37. Elsevier: 50–58.Google Scholar
  17. Lu, Qing, Chin Loong Chan, and Bak Kong Low. (2012). System Reliability Assessment for a Rock Tunnel with Multiple Failure Modes. Rock Mechanics and Rock Engineering 46.Google Scholar
  18. Lü, Qing, Zhi-Peng Xiao, Jian Ji, and Jun Zheng. (2017a). Reliability based design optimization for a rock tunnel support system with multiple failure modes using response surface method. Tunnelling and Underground Space Technology 70. Elsevier: 1–10.Google Scholar
  19. Lü, Qing, Zhi Peng Xiao, Jian Ji, and Jun Zheng. (2017b). Reliability based design optimization for a rock tunnel support system with multiple failure modes using response surface method. Tunnelling and Underground Space Technology 70. Elsevier: 1–10.Google Scholar
  20. Mollon, G, D Dias, and A H Soubra. (2009). Probabilistic analysis of circular tunnels in homogeneous soil using response surface methodology. Journal of Geotechnical and Geoenvironmental Engineering 135. American Society of Civil Engineers: 1314–1325.Google Scholar
  21. Nomikos, Pavlos, Reza Rahmannejad, and Alexandros Sofianos. (2011). Supported axisymmetric tunnels within linear viscoelastic Burgers rocks. Rock Mechanics and Rock Engineering 44: 553–564.CrossRefGoogle Scholar
  22. Pan, Yii Wen, and Zeng Lin Huang (1994). A model of the time-dependent interaction between rock and shotcrete support in a tunnel. International Journal of Rock Mechanics and Mining Sciences and 31: 213–219.CrossRefGoogle Scholar
  23. Paper, Conference, Erion Buka, and Universiteti Politeknik. (2015). Factor of safety and probability of failure using convergence - confinement method for tunnels in rock. In. European Conference in Geo-Environment and Construction.Google Scholar
  24. Paraskevopoulou, Chrysothemis, and Mark Diederichs. (2018). Analysis of time-dependent deformation in tunnels using the Convergence-Confinement Method. Tunnelling and Underground Space Technology 71.CrossRefGoogle Scholar
  25. Phienwej, N., P. K. Thakur, and E. J. Cording. (2007). Time-Dependent Response of Tunnels Considering Creep Effect. International Journal of Geomechanics 7: 296–306.CrossRefGoogle Scholar
  26. Sulem, J., M. Panet, and A. Guenot. (1987). Closure analysis in deep tunnels. International Journal of Rock Mechanics and Mining Sciences and.Google Scholar
  27. U, Qing, Hong-Yue Sun, and Bak Kong Low. (2011). Reliability analysis of ground–support interaction in circular tunnels using the response surface method. International Journal of Rock Mechanics and Mining Sciences 48: 1329–1343.CrossRefGoogle Scholar
  28. Wang, Ziqi, Marco Broccardo, and Armen Der Kiureghian. (2016). An algorithm for finding a sequence of design points in reliability analysis. Structural Safety 58. Elsevier Ltd: 52–59.Google Scholar
  29. Zhao, Y G, and T Ono. (1999). A general procedure for first/order reliability method (FORM/SORM). Structural Safety 21: 95–112.CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Ngoc-Tuyen Tran
    • 1
    Email author
  • Duc-Phi Do
    • 1
  • Dashnor Hoxha
    • 1
  • Minh-Ngoc Vu
    • 2
  1. 1.Orleans University, INSA CVL, LaMé, EA 7494OrleansFrance
  2. 2.Andra R&D DivisionChatenay-MalbryFrance

Personalised recommendations

Cite paper

Buy options