Estimating the Effects of Shield Tunnelling on Buried Pipelines Based on a Kerr Foundation Model

  • H. Zhang
  • Z. X. ZhangEmail author
Conference paper
Part of the Springer Geology book series (SPRINGERGEOL)


Based on a Kerr-type three-parameter elastic foundation model, a two-stage analytical method for estimating the longitudinal deflection and internal forces of existing pipelines is presented in this paper. With respect to the first stage, the Loganathan and Poulos analytical solution is used to estimate the free-soil settlement caused by shield tunnelling at the existing pipeline’s position; in the second stage, the free-soil settlement is imposed to the existing pipeline, which is simplified as an infinite beam on a Kerr foundation. The governing differential equations of the pipe are formulated and analytically solved, and the deformation and internal forces of the pipeline are obtained. Foundation model parameters are determined by the simplifying elastic continuum method. The superiority of the Kerr foundation model, compared to Winkler foundation model, is verified by numerical results and a real-life case.


Shield tunnelling Buried pipeline Kerr foundation model Deflection Analytical solution 


  1. Attwell, P. B., Yeates, J., & Selby, A. R. (1986). Soil movements induced by tunneling and their effects on pipelines and structures. London: Blackie & Son Ltd.Google Scholar
  2. Avramidis, I. E., & Morfidis, K. (2006). Bending of beams on three-parameter elastic foundation. International Journal of Solids and Structures, 43, 357–375.CrossRefGoogle Scholar
  3. Huang, X., Huang, H., & Zhang, D. (2012) Longitudinal deflection of existing shield tunnel due to above deep excavation. Chinese Journal of Geotechnical Engineering, (accepted for publication)Google Scholar
  4. Kerr, A. D. (1964). Elastic and viscoelastic foundation models. Journal of Applied Mechanics, 31, 491–498.CrossRefGoogle Scholar
  5. Kerr, A. D. (1965). A study of a new foundation model. Acta Mechanica, 1(2), 135–147.CrossRefGoogle Scholar
  6. Kerr, A. D. (1985). On the determination of foundation model parameters. Journal of Geotechnical Engineering, 111(11), 1334–1340.CrossRefGoogle Scholar
  7. Klar, A., Vorster, T. E. B., Soga, K., et al. (2005). Soil-pipe interaction due to tunnelling: comparison between Winkler and elastic continuum solutions. Geotechnique, 55(6), 461–466.CrossRefGoogle Scholar
  8. Loganathan, N., & Poulos, H. G. (1998). Analytical prediction for tunneling-induced ground movements in clays. Journal of Geotechnical and Geoenvironmental Engineering, 124(9), 846–856.CrossRefGoogle Scholar
  9. Pasternak, P. L. (1954). On a new method of analysis of an elastic foundation by means of two-constants. Moscow: Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu I Arkhitecture.Google Scholar
  10. Selvadurai, A. P. S. (1979). Elastic analysis of soil-foundation interaction. NewYork: Elsevier Scientific Publishing Co.Google Scholar
  11. Vorster, T. E. B., Klar, A., Soga, K., et al. (2005). Estimating the effects of tunneling on existing pipelines. Journal of Geotechnical and Geoenvironmental Engineering, 131(11), 1399–1410.CrossRefGoogle Scholar
  12. Wang, T., Wei, G., & Xu, R. (2006). Prediction for influence of tunneling on adjacent pipelines. Rock and Soil Mechanics, 27(s), 483–486.Google Scholar
  13. Winkler, E. (1867). Die lehre von der elastizitat und festigkeit. Prague.Google Scholar
  14. Zhang, Z., Huang, M., & Wang, W. (2009). Responses of existing tunnels induced by adjacent excavation in soft soils. Rock and Soil Mechanics, 30(5), 1373–1380.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Key Laboratory of Geotechnical and Underground Engineering of Ministry of EducationTongji UniversityShanghaiChina
  2. 2.Department of Geotechnical EngineeringTongji UniversityShanghaiChina

Personalised recommendations