Analytical Solution of Underneath Tunnelling-Induced Deformation of Existing Tunnel

  • Zhong-Kai Huang
  • Dong-Mei Zhang
  • Mao-Zhu Peng
  • Xiang Zong
Conference paper

Abstract

Tunnelling underneath the existing tunnels are very common these days. It is obvious that the under-crossing tunnelling will affect and even damage the existing tunnels. An analytical method is proposed in this paper to better understand the effects of the under-crossing tunnelling on the existing tunnel. The existing tunnel is modeled as a Timoshenko beam lying on a Kerr foundation. The validity of the analytical solution is verified by a series of centrifuge tests. The parametric study is then carried out to well understand the effect of under-crossing tunneling on the deformation of existing tunnel. The results indicate that the pattern and the magnitude of the deformation of the existing tunnel dependent on the longitudinal shear stiffness, volume loss and the vertical clearance between newly built and existing tunnels.

Keywords

Analytical solution Timoshenko beam Kerr foundation Existing tunnel 

Notes

Acknowledgement

This study is financially supported by the Key Laboratory of land subsidence monitoring and prevention, Ministry of Land and Resources of the People’s Republic of China (KLLSMP201501), National Natural Science Foundation of China (Grants No. 41772295 and No. 51478344), Shanghai Science and Technology Committee Project (Grant No. 16DZ1200403) and Science and Technology Project for Transportation and Construction in West of China (2013318J11300). The support is acknowledged.

References

  1. Zhang, D.M., Huang, Z.K., Yin, Z.Y., Ran, L.Z., Huang, H.W.: Predicting the grouting effect on leakage-induced tunnels and ground response in saturated soils. Tunn. Undergr. Space Technol. 65, 76–90 (2017)CrossRefGoogle Scholar
  2. Marshall, A.M., Klar, A., Mair, R.J.: Tunnelling beneath buried pipes: view of soil strain and its effect on pipeline behavior. J. Geotech. Geoenvironmental Eng. 136(12), 1664–1672 (2010)CrossRefGoogle Scholar
  3. Klar, A., Marshall, A.M.: Shell versus beam representation of pipes in the evaluation of tunnelling effects on pipelines. Tunn. Undergr. Space Technol. 23(4), 431–437 (2008)CrossRefGoogle Scholar
  4. Klar, A., Vorster, T.E., Soga, K., Mair, R.J.: Elastoplastic solution for soil-pipe-tunnel interaction. J. Geotech. Geoenvironmental Eng. 133(7), 782–792 (2007)CrossRefGoogle Scholar
  5. Liang, R., Xia, T., Hong, Y., Yu, F.: Effects of above-crossing tunnelling on the existing shield tunnels. Tunn. Undergr. Space Technol. 58, 159–176 (2016)CrossRefGoogle Scholar
  6. Huang, X., Huang, H.W., Zhang, D.M.: Longitudinal deflection of existing shield tunnels due to deep excavation. Chin. J. Geotech. Eng. 34(7), 1241–1249 (2012). (in Chinese)Google Scholar
  7. Liao, S.M., Peng, F.L., Shen, S.L.: Analysis of shearing effect on tunnel induced by load transfer along longitudinal direction. Tunn. Undergr. Space Technol. 23(4), 421–430 (2008)CrossRefGoogle Scholar
  8. Wu, H.N., Shen, S.L., Liao, S.M., Yin, Z.Y.: Longitudinal structural modelling of shield tunnels considering shearing dislocation between segmental rings. Tunn. Undergr. Space Technol. 50, 317–323 (2015)CrossRefGoogle Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2018

Authors and Affiliations

  • Zhong-Kai Huang
    • 1
  • Dong-Mei Zhang
    • 1
    • 2
  • Mao-Zhu Peng
    • 1
    • 2
  • Xiang Zong
    • 1
  1. 1.Department of Geotechnical EngineeringTongji UniversityShanghaiChina
  2. 2.Key Laboratory of Geotechnical and Underground Engineering of Ministry of EducationShanghaiChina

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