Blasting Vibration Safety Criterion of Surrounding Rock of a Circular Tunnel

Original Paper


In blasting excavation, the safety of existing structures is always affected. In the past, the vibration velocity of the incident wave is always used to determine the blasting vibration safety criterion, which is not easy to monitor. In this paper, blasting waves are simplified as plane P-waves. Based on the wave function expansion method and the Mohr–Coulomb strength criterion, the responded vibration velocity is used to establish the blasting vibration safety criterion of surrounding rock of a circular tunnel. Combined with a specific engineering case, the influence of the frequency and the radius of tunnel is analyzed. Results show that the maximum radial vibration velocity is greater than the maximum tangential vibration velocity and it is used to determine the safety criterion. The blasting vibration safety criterion increases with the increasing frequency when the frequency is low and it fluctuates slightly when the frequency is high. The influence of the radius of tunnel is complex and the influences are opposite when the frequencies are low and high.


Blasting vibration safety criterion Circular tunnel Plane P-wave Mohr–Coulomb strength criterion Frequency 



  1. AQSIQ and SAC (2014) Safety regulations for blasting (GB6722-2014). China Zhijian Publishing House, BeijingGoogle Scholar
  2. Chen M, Lu WB (2008) The influence of explosive stress wave on young concrete lining. Rock Soil Mech 29:455–459, 464Google Scholar
  3. Hu Y, Lu W, Chen M, Yan P (2015) Determination of critical damage PPV near the blast hole of rock–mass. Explos Shock Waves 35:547–554Google Scholar
  4. Jiang N, Zhou C (2012) Blasting vibration safety criterion for a tunnel liner structure. Tunn Undergr Space Technol Inc Trenchless Technol Res 32:52–57CrossRefGoogle Scholar
  5. Jiang N, Zhou C, Luo G, Miao G (2012) Blasting vibration safety criterion of railway tunnel concrete lining. J Cent South Univ 43:2746–2750Google Scholar
  6. Lee VW, Karl J (1992) Diffraction of SV waves by underground, circular, cylindrical cavities. Soil Dyn Earthq Eng 11:445–456CrossRefGoogle Scholar
  7. Lee VW, Karl J (1993) On deformation of near a circular underground cavity subjected to incident plane P waves. Eur J Earthq Eng 7:29–35Google Scholar
  8. Lin CH, Lee VW, Todorovska MI, Trifunac MD (2010) Zero-stress, cylindrical wave functions around a circular underground tunnel in a flat, elastic half-space: incident P-waves. Soil Dyn Earthq Eng 30:879–894CrossRefGoogle Scholar
  9. Manoogian ME, Lee VW (1996) Diffraction of SH-waves by subsurface inclusions of arbitrary shape. J Eng Mech 122:123–129CrossRefGoogle Scholar
  10. Mathews J, Walker RL (1970) Mathematical methods of physics. WA Benjamin, New YorkGoogle Scholar
  11. Pao Y-H, Mow C-C (1973) The diffraction of elastic waves and dynamic stress concentrations. Crane, Russak & Company Inc., New YorkCrossRefGoogle Scholar
  12. Smerzini C, Aviles J, Paolucci R, Sánchez-Sesma F (2009) Effect of underground cavities on surface earthquake ground motion under SH wave propagation. Earthq Eng Struct Dyn 38:1441–1460CrossRefGoogle Scholar
  13. Wang X, Sudak L (2007) Scattering of elastic waves by multiple elastic circular cylinders with imperfect interface. Waves Random Complex Media 17:159–187CrossRefGoogle Scholar
  14. Wang J-H, Lu J-F, Zhou X-L (2009) Complex variable function method for the scattering of plane waves by an arbitrary hole in a porous medium. Eur J Mech A/Solids 28:582–590CrossRefGoogle Scholar
  15. Wang W, Zhao Z, Wang L (2012) Safety analysis for soft rock tunnel floor destruction based on different yield criterions. Chin J Rock Mech Eng 31:3920–3927Google Scholar
  16. Yi C, Lu W, Zhang J, Zhang A (2008) Study on critical failure vibration velocity of arch with vertical wall lining subjected to blasting vibration. Rock Soil Mech 29:2203–2208Google Scholar
  17. Yi C, Zhang P, Johansson D, Nyberg U (2014) Dynamic response of a circular lined tunnel with an imperfect interface subjected to cylindrical P-waves. Comput Geotech 55:165–171CrossRefGoogle Scholar
  18. Yi C, Lu W, Zhang P, Johansson D, Nyberg U (2016) Effect of imperfect interface on the dynamic response of a circular lined tunnel impacted by plane P-waves. Tunn Undergr Space Technol 51:68–74CrossRefGoogle Scholar
  19. Zhang Z, Zhou C, Lu S, Jiang N, Wu C (2017) Dynamic response characteristic of adjacent buried concrete pipeline subjected to blasting vibration. J Harbin Inst Technol 49:79–84Google Scholar

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.CCCC Second Harbor Engineering Co. Ltd.WuhanChina

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