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Estimation of Lining Pressure for Stability of Elliptical Tunnel in Cohesive-Frictional Soils

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Abstract

In this study, the magnitude of lining pressure required for stability of an elliptical tunnel in cohesive-frictional soil has been determined by using lower bound limit theorem in conjunction with finite elements and linear programing optimization technique. A uniform normal pressure (σi) is applied on the tunnel periphery to support the tunnel by means of lining or anchorage system. The evaluated support pressure is presented in terms of normalized pressure as σi/c acting on the periphery of a tunnel embedded in undrained cohesive and cohesive-frictional soil for different combinations of H/B, D/B, γB/c and ϕ where H is cover depth of tunnel from ground surface, B and D are width and depth of tunnel, respectively, and c, ϕ and γ are cohesion, peak friction angle and unit weight of soil, respectively.

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References

  1. Atkinson JH, Potts DM (1977) Stability of a shallow circular tunnel in cohesionless soil. Geotechnique 27(2):203–215

    Article  Google Scholar 

  2. Mair RJ (1979) Centrifugal modelling of tunnel construction in soft clay. PhD thesis, University of Cambridge, Cambridge, UK

  3. Davis EH, Gunn MJ, Mair RJ, Seneviratne HN (1980) The stability of shallow tunnels and underground openings in cohesive material. Geotechnique 30(4):397–416

    Article  Google Scholar 

  4. Mühlhaus HB (1985) Lower bound solutions for circular tunnels in two and three dimensions. Rock Mech Rock Eng 18(1):37–52

    Article  ADS  Google Scholar 

  5. Sloan SW (1988) Lower bound limit analysis using finite-elements and linear programming. Int J Numer Analyt Method Geomech 12:61–77

    Article  Google Scholar 

  6. Sloan SW, Assadi A (1991) Undrained stability of a square tunnel in a soil whose strength increases linearly with depth. Comput Geotech 12:321–346

    Article  Google Scholar 

  7. Sloan SW, Assadi A (1993) Stability of shallow tunnels in soft ground. In: Holsby GT, Schofield AN (eds) Predictive soil mechanics. Thomas Telford, London, pp 644–663

    Google Scholar 

  8. Wilson DW, Abbo AJ, Sloan SW, Lyamin AV (2011) Undrained stability of a circular tunnel where the shear strength increases linearly with depth. Can Geotech J 48:1328–1342

    Article  Google Scholar 

  9. Yamamoto K, Lyamin AV, Wilson DW, Sloan SW, Abbo AJ (2011) Stability of a single tunnel in cohesive–frictional soil subjected to surcharge loading. Can Geotech J 48:1841–1854

    Article  Google Scholar 

  10. Abbo AJ, Wilson DW, Sloan SW, Lyamin AV (2013) Undrained stability of wide rectangular tunnels. Comput Geotech 53:46–59

    Article  Google Scholar 

  11. Sahoo JP, Kumar J (2012) Seismic stability of a long unsupported circular tunnel. Comput Geotech 44:109–115

    Article  Google Scholar 

  12. Sahoo JP, Kumar J (2013) Stability of a long unsupported circular tunnel in clayey soil by using upper bound finite element limit analysis. Proc Indian Natl Sci Acad 79(4):807–815

    Article  Google Scholar 

  13. Chakraborty D, Kumar J (2013) Stability of a long unsupported circular tunnel in soils with seismic forces. Nat Haz 68:419–431

    Article  Google Scholar 

  14. Sahoo JP, Kumar J (2014) Stability of a circular tunnel in presence of pseudostatic seismic body forces. Tunnel Undergr Space Technol 42:264–276

    Article  Google Scholar 

  15. Patil M, Choudhury D, Ranjith PG, Zhao J (2018) Behavior of shallow tunnel in soft soil under seismic conditions. Tunnel Undergr Space Technol 82:30–38

    Article  Google Scholar 

  16. Yang F, Zhang J, Yang J, Zhao L, Zheng X (2015) Stability analysis of unlined elliptical tunnel using finite element upper-bound method with rigid translatory moving elements. Tunnel Undergr Space Technol 50:13–22

    Article  Google Scholar 

  17. Zhang J, Yang J, Yang F, Zhang X, Zheng X (2017) Upper-bound solution for stability number of elliptical tunnel in cohesionless soils. Int J Geomech. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000689

    Article  Google Scholar 

  18. Sahoo JP, Kumar B (2019) Support pressure for stability of circular tunnels driven in granular soil under water table. Comput Geotech 109:58–68

    Article  Google Scholar 

  19. Osman AS, Mair RJ, Bolton MD (2006) On the kinematics of 2D tunnel collapse in undrained clay. Geotechnique 56(9):585–595

    Article  Google Scholar 

  20. Klar A, Osman AS, Bolton M (2007) 2D and 3D upper bound solutions for tunnel excavation using elastic flow fields. Int J Numer Anal Meth Geomech 31:1367–1374

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Civil Engineering, Indian Institute of Technology Kharagpur, Kharagpur, India

    Paramita Bhattacharya & Puja Dutta

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  1. Paramita Bhattacharya
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  2. Puja Dutta
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Correspondence to Paramita Bhattacharya.

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Bhattacharya, P., Dutta, P. Estimation of Lining Pressure for Stability of Elliptical Tunnel in Cohesive-Frictional Soils. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 92, 433–442 (2022). https://doi.org/10.1007/s40010-021-00742-z

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  • DOI: https://doi.org/10.1007/s40010-021-00742-z

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