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Stability of a long unsupported circular tunnel in soils with seismic forces

Author

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  • Debarghya Chakraborty
  • Jyant Kumar

Abstract

By using the lower-bound finite element limit analysis, the stability of a long unsupported circular tunnel has been examined with an inclusion of seismic body forces. The numerical results have been presented in terms of a non-dimensional stability number (γH/c) which is plotted as a function of horizontal seismic earth pressure coefficient (k h ) for different combinations of H/D and ϕ; where (1) H is the depth of the crest of the tunnel from ground surface, (2) D is the diameter of the tunnel, (3) k h is the earthquake acceleration coefficient and (4) γ, c and ϕ define unit weight, cohesion and internal friction angle of soil mass, respectively. The stability numbers have been found to decrease continuously with an increase in k h . With an inclusion of k h , the plastic zone around the periphery of the tunnel becomes asymmetric. As compared to the results reported in the literature, the present analysis provides a little lower estimate of the stability numbers. The numerical results obtained would be useful for examining the stability of unsupported tunnel under seismic forces. Copyright Springer Science+Business Media Dordrecht 2013

Suggested Citation

  • Debarghya Chakraborty & Jyant Kumar, 2013. "Stability of a long unsupported circular tunnel in soils with seismic forces," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 68(2), pages 419-431, September.
    • Handle: RePEc:spr:nathaz:v:68:y:2013:i:2:p:419-431
    DOI: 10.1007/s11069-013-0633-y
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    Cited by:

    1. Xi Chen & Kun Zhang & Wei Wang, 2023. "Seismic Stability Analysis of Tunnel Faces in Heterogeneous and Anisotropic Soils Using Modified Pseudodynamic Method," Sustainability, MDPI, vol. 15(14), pages 1-20, July.

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