KSCE Journal of Civil Engineering

, Volume 22, Issue 4, pp 1121–1129 | Cite as

Seismic Response of Circular Tunnels in Jointed Rock

  • Jin-Kwon Yoo
  • Jeong-Seon Park
  • Duhee Park
  • Seung-Won Lee
Geotechnical Engineering


Although deformation along a weak joint under a strong seismic event can seriously damage the tunnel, the effect of joint has not yet been well understood or quantified. We perform a series of pseudo-static discrete element analyses to evaluate the effect of deformation along rock joint on the seismic response of circular tunnels. We also perform parallel continuum analyses to compare and quantify their differences. A comprehensive set of joint parameters are considered in this study. The results illustrate that the joint significantly increases the moment demand in the tunnel lining, whereas it has a secondary influence on the thrust. The joint stiffness and shear strength have critical influence on the tunnel response. Widely spaced joint set produces a larger tunnel response. The tunnel response is highest for vertical and horizontal joints, and the lowest when the joint dips at an angle of 45°. The moment in jointed rock may be 20 times higher than that in intact rock. The pronounced deviation from continuum analyses highlights the need to estimate the influence of discontinuities on the seismic response of underground tunnels from discrete element analyses. This may be of concern for critical structures such as nuclear facilities.


rock joint tunnel seismic response pseudo-static discrete element analysis 


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  1. Ahn, J. K., Park, D. H., Kim, D. K., and Kim, K. Y. (2013). “Evaluation of seismic performance of road tunnels in operation.” Journal of Korean Tunnelling and Underground Space Association, Vol. 15, No. 2, pp.69–80.CrossRefGoogle Scholar
  2. Argyroudis, S. and Pitilakis, K. (2012), “Seismic fragility curves of shallow tunnels in alluvial deposits.” Soil Dynamics and Earthquake Engineering, Vol. 35, pp. 1–12.CrossRefGoogle Scholar
  3. Asakura, T. and Sato, Y. (1996). “Damage to mountain tunnels in hazard area.” Soils and foundations, pp. 301–310.Google Scholar
  4. Bandis, S., Lumsden, A., and Barton, N. (1983). “Fundamentals of rock joint deformation.” Elsevier, Vol. 20, pp. 249–268.Google Scholar
  5. Barton, N. (1995). The influence of joint properties in modelling jointed rock masses, 8th ISRM congress: International Society for Rock Mechanics.Google Scholar
  6. Barton, N. R. (1976). “The shear strength of rock and rock joints.” International Journal of Rock Mechanics and Mining Sciences, Vol. 13, No. 9, pp. 255–279.CrossRefGoogle Scholar
  7. Bhasin, R. and Høeg, K. (1998). “Parametric study for a large cavern in jointed rock using a distinct element model (UDEC—BB).” International Journal of Rock Mechanics and Mining Sciences, Vol. 35, No. 1, pp.17–29.CrossRefGoogle Scholar
  8. Boulanger, R. and Ziotopoulou, K. (2012). PM4Sand (Version 2): a sand plasticity model for earthquake engineering applications, University of California at Davis, California.Google Scholar
  9. Cilingir, U. and Gopal Madabhushi, S. (2011). “A model study on the effects of input motion on the seismic behaviour of tunnels.” Soil Dynamics and Earthquake Engineering, Vol. 31, No. 3, pp. 452–462.CrossRefGoogle Scholar
  10. Hao, H., Wu, Y., Ma, G., and Zhou, Y. (2001). “Characteristics of surface ground motions induced by blasts in jointed rock mass.” Soil Dynamics and Earthquake Engineering, Vol. 21, No. 2, pp. 85–98.CrossRefGoogle Scholar
  11. Hao, Y. and Azzam, R. (2005). “The plastic zones and displacements around underground openings in rock masses containing a fault.” Tunnelling and Underground Space Technology, Vol. 20, No. 1, pp. 49–61.CrossRefGoogle Scholar
  12. Hashash, Y. M. A, Karina, K., Koutsoftas, D., and O'Riordan, N. (2010). “Seismic design considerations for underground box structures.” Earth Retention Conference, Vol. 3, pp. 1–4.Google Scholar
  13. Hashash, Y. M. A. (2002). Seismic design of underground structures: Role of numerical modeling, North American Tunneling.Google Scholar
  14. Hashash, Y. M. A. and Park, D. (2001). “Non-linear one-dimensional seismic ground motion propagation in the Mississippi embayment.” Engineering Geology, Vol. 62, Nos. 1-3, pp. 185–206.CrossRefGoogle Scholar
  15. Hashash, Y. M. A., Marulanda, C., Ghaboussi, J., and Jung, S. (2003). “Systematic update of a deep excavation model using field performance data.” Computers and Geotechnics, Vol. 30, pp. 477–488.CrossRefGoogle Scholar
  16. Itasca Consulting Group, I. (2002). Manual, FLAC, Itasca Consulting Group, Inc.Google Scholar
  17. Itasca Consulting Group, I. (2004). UDEC Universal Distinct Element Code, User's Manual, Itasca Consulting Group, Inc.Google Scholar
  18. Kulhawy, F. H. (1975). “Stress deformation properties of rock and rock discontinuities.” Engineering Geology, Vol. 9, No. 4, pp. 327–350.CrossRefGoogle Scholar
  19. Li, J. and Ma, G. (2010). “Analysis of blast wave interaction with a rock joint.” Rock Mechanics and Rock Engineering, Vol. 43, No. 6, pp. 777–787.CrossRefGoogle Scholar
  20. Ma, M. and Brady, B. (1999). “Analysis of the dynamic performance of an underground excavation in jointed rock under repeated seismic loading.” Geotechnical & Geological Engineering, Vol. 17, No. 1, pp. 1–20.CrossRefGoogle Scholar
  21. MOCT (2010). The Revision of the Road-Design Guideline (The Chapter of Tunnel), Ministry of Constructio and Transportation.Google Scholar
  22. Penzien, J. and Wu, C. L. (1998). “Stresses in linings of bored tunnels.” International Journal of Earthquake Engineering and Structural Dynamics, Vol. 27, pp. 283–300.CrossRefGoogle Scholar
  23. Schnabel, P. B., Lysmer, J. L., and Seed, H. B. (1972). SHAKE: A computer program for earthquake response analysis of horizontally layered sites, EERC-72/12, Earthquake Engineering Research Center, Berkeley, CA.Google Scholar
  24. Sedarat, H., Kozak, A., Hashash, Y., Shamsabadi, A., and Krimotat, A. (2009). “Contact interface in seismic analysis of circular tunnels.” Tunnelling and Underground Space Technology, Vol. 24, No. 4, pp. 482–490.CrossRefGoogle Scholar
  25. Seed, H. B. and Idriss, I. M. (1970). Soil moduli and damping factors for dynamic response analyses, University of California, Berkeley, Berkeley.Google Scholar
  26. Vanmarcke, E. H., Fenton, G. A., and Heredia-Zavoni, E. (1999). SIMQKEII, Conditioned earthquake ground motion simulator: User's manual, version 2.1 Princeton University, Princeton.Google Scholar
  27. Vardakos, S. S., Gutierrez, M. S., and Barton, N. R. (2007). “Backanalysis of Shimizu Tunnel No. 3 by distinct element modeling.” Tunnelling and Underground Space Technology, Vol. 22, No. 4, pp. 401–413.CrossRefGoogle Scholar
  28. Wang, J. (1993). “Seismic design of tunnels: A state-of-the-art approach, Parsons Brinckerhoff Quade & Douglas.” Inc., New York, NY, Monograph 7.Google Scholar

Copyright information

© Korean Society of Civil Engineers 2018

Authors and Affiliations

  • Jin-Kwon Yoo
    • 1
  • Jeong-Seon Park
    • 1
  • Duhee Park
    • 1
  • Seung-Won Lee
    • 2
  1. 1.Dept. of Civil and Environmental EngineeringHanyang UniversitySeoulKorea
  2. 2.Geotechnical Engineer, ARUPNew YorkUSA

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