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Earthquake Engineering and Engineering Vibration

, Volume 19, Issue 1, pp 179–188 | Cite as

Hyperstatic reaction method for calculations of tunnels with horseshoe-shaped cross-section under the impact of earthquakes

  • Thanh Nguyen ChiEmail author
  • Gospodarikov Alexandr
Article
  • 2 Downloads

Abstract

Tunnels are now an integral part of the infrastructure in major cities around the world. For many reasons, these tunnels have horseshoe-shaped cross-sections with round top and flat bottom. This paper presents some improvements to the use of the Hyperstatic Reaction Method-HRM for analysing tunnels with horseshoe-shaped cross-sections when these tunnels operate under the influence of earthquakes, particularly in cases when the tunnel lining is a continuous lining. The analysis used parameters of a tunnel from the Hanoi metro system, as well as parameters of the strongest earthquake that may occur in the central Hanoi area in the improved HRM and 2D numerical methods using the ABAQUS software. On the basis of the results obtained, the paper gives conclusions about the HRM methodology when it is used to calculate tunnels that have horseshoe cross-sections operating under the influence of earthquakes.

Keywords

hyperstatic reaction method earthquake horseshoe cross-section impact tunnel 

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Notes

Acknowledgement

This work was supported by the Saint Petersburg Mining University. We thank two anonymous reviewers for their comments that were very valuable for revising the manuscript.

References

  1. Do NA, Dias D, Oreste PP and Djeran-Maigre I (2014), “A New Numerical Approach to the Hyperstatic Reaction Method for Segmental Tunnel Linings,” International Journal for Numerical and Analytical Methods in Geomechanics, 38(15): 1617–1632.CrossRefGoogle Scholar
  2. Fu J, Liang J and Qin L (2016), “Dynamic Soil-Tunnel Interaction in Layered Half-Space for Incident Plane SH Waves,” Earthquake Engineering and Engineering Vibration, 15(4): 715–727.CrossRefGoogle Scholar
  3. Gospodarikov A and Thanh NC (2017), “Liquefaction Possibility of Soil Layers During Earthquake in Hanoi,” International Journal of GEOMATE, 13(39): 148–155.Google Scholar
  4. Gospodarikov A and Thanh NC (2018a), “The Impact of Earthquakes of Tunnel Linings: A Case Study from the Hanoi Metro System,” International Journal of GEOMATE, 14(41): 151–158.Google Scholar
  5. Gospodarikov A and Thanh NC (2018b), “Behaviour of Segmental Tunnel Linings under the Impact of Earthquakes: A Case Study from the Tunnel of Hanoi Metro System,” International Journal of GEOMATE, 15(48): 91–98.Google Scholar
  6. Huebner KH, Dewhirst DL, Smith DE and Byrom TG (2001), The Finite Element Method for Engineers, John Wiley and Sons, Inc., New York.Google Scholar
  7. Jayasinghe JASC, Hori M, Riaz MR, Wijerathne MLL and Ichimura T (2017), “Conversion Between Solid and Beam Element Solutions of Finite Element Method Based on Meta-Modeling Theory: Development and Application to a Ramp Tunnel Structure,” Earthquake Engineering and Engineering Vibration, 16(2): 297–309.CrossRefGoogle Scholar
  8. Möller S (2006), “Tunnel Induced Settlements and Structural Forces in Linings,” Ph.D. Dissertation, Stuttgart University, Germany.Google Scholar
  9. Naggar HE and Hinchberger SD (2008), “An Analytical Solution for Jointed Tunnel Linings in Elastic Soil or Rock,” Canadian Geotechnical Journal, 45: 1572–1593.CrossRefGoogle Scholar
  10. Oreste PP (2007), “A Numerical Approach to the Hyperstatic Reaction Method for the Dimensioning of Tunnel Supports,” Tunnelling and Underground space Technology, 22: 185–205.CrossRefGoogle Scholar
  11. Penzien J and Wu C (1998), “Stresses in Linings of Bored Tunnels,” Journal of Earthquake Eng. Structural Dynamics, 27: 283–300.CrossRefGoogle Scholar
  12. Penzien Z (2000), “Seismically Induced Racking of Tunnel Linings,” Int. J. Earthquake Eng. Struct. Dynamic, 29: 683–691.CrossRefGoogle Scholar
  13. Protosenya AG and Verbilo PE (2017), “Research of Compression Strength of Fissured Rock Mass,” Journal of Mining Institute, 223: 51–57.Google Scholar
  14. Rodríguez-Castellanos A, Carbajal-Romero M, Flores-Guzmán N, Rodríguez-Sánchez JE and Kryvko A (2017), “Near Shore Seismic Movements Induced by Seaquakes Using the Boundary Element Method,” Earthquake Engineering and Engineering Vibration, 16(3): 571–585.CrossRefGoogle Scholar
  15. Schulze H and Duddeck H (1964), “Spannungen in Schildvorgetrieben Tunnel,” Beton and Stahlbetonbau, 8: 169–175.Google Scholar
  16. Systra (2005), “Hanoi Pilot LRT Line Feasibility Study,” Executive summary, Hanoi, Vietnam.Google Scholar
  17. Takano YH (2000), “Guidelines for the Design of Shield Tunnel Lining,” Tunneling and Underground Space Technology, 15(3): 303–331.CrossRefGoogle Scholar
  18. The Southern California Earthquake Data Center (SCEDC) (2018), Data of El Centro Earthquake, http://scedc.caltech.edu/,USA.Google Scholar
  19. Wang DY and Yuan JX (2009), “Research on Calculation Methods of Surrounding Rock Pressure on Shallow and Bias Double-Arch Tunnel,” Journal of China & Foreign Highway, 29(2): 172–176.Google Scholar
  20. Wang, JG, Kong SL and Leung CF (2003), “Twin Tunnels-Induced Ground Settlement in Soft Soil,” Proceeding of the Sino-Japanese Symposium on Geotechnical Engineering, Beijing, China, 241–244.Google Scholar
  21. Wang JN (1993), Seismic Design of Tunnels: A State of the Art Approach,” Monograph 7, Parsons Brinkerhoff Quad & Douglas Inc, NewYork, USA.Google Scholar
  22. Wood JH (2004), “Earthquake Design Procedures for Rectangular Underground Structures,” Project Report to Earthquake Commission, EQC Project No 01/470, New Zealand.Google Scholar
  23. Wood JH (2005), “Earthquake Design of Rectangular Underground Structures,” NZSEE Conference, New Zealand, 39–47.Google Scholar

Copyright information

© Institute of Engineering Mechanics, China Earthquake Administration 2020

Authors and Affiliations

  1. 1.Saint Petersburg Mining UniversitySaint PetersburgRussian Federation
  2. 2.Faculty of Civil EngineeringHanoi University of Mining and GeologyHanoiVietnam

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