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Undrained Seismic Stability of Dual Unsupported Circular Tunnels Subjected to Surcharge Loading

Rui Zhang

College of Civil Engineering, Changsha University, Changsha, 410082, P. R. China

E-mail Address: z20190809@ccsu.edu.cn

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Gaoqiao Wu

Institute of Geotechnical Engineering, Hunan University, Changsha 410082, P. R. China

E-mail Address: highbridgewu@gmail.com

Corresponding author.

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Minghua Zhao

Institute of Geotechnical Engineering, Hunan University, Changsha 410082, P. R. China

E-mail Address: mhzhaohd@21cn.com

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, and

Ming Lei

College of Civil Engineering, Changsha University, Changsha, 410082, P. R. China

E-mail Address: lm2656717@163.com

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https://doi.org/10.1142/S0219455421710012Cited by:3 (Source: Crossref)

Abstract

Undrained seismic stability of dual unsupported circular tunnels was investigated in this work using a self-developed code for adaptive finite element limit analysis. The so-called pseudo-static method was used to simulate the seismic effects during an earthquake. Accurate upper and lower bounds of seismic stability factor $N_{s}$ were obtained by using an adaptive remeshing technique incorporated in the code. Comprehensive parametric studies of the problem variables, including the horizontal seismic coefficient $k_{h}$ , the relative spacing ratio $S$ / $D$ , the relative depth ratio $H$ / $D$ and the strength ratio $γ D$ / $c_{u}$ were performed to provide dimensionless design tables for practical uses. In addition, visualized results from AFELA were summarized to reveal how the failure mechanism of dual tunnels would evolve with varying problems variables. Numerical results showed that both the stability and failure mechanism of dual tunnels can be much affected by seismic effects which should be carefully considered for a reasonable design in earthquake zones.

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References

1. E. H. Davis, M. J. Gunn and R. J. Mair, The stability of shallow tunnels and underground openings in cohesive material, Geotechnique 30(4) (1980) 397–416. Crossref, Web of Science, Google Scholar
2. E. Leca and L. Dormieux, Upper and lower bound solutions for the face stability of shallow circular tunnels in frictional material, Geotechnique 40(4) (1990) 581–606. Crossref, Web of Science, Google Scholar
3. A. S. Osman, R. J. Mair and M. D. Bolton, On the kinematics of 2D tunnel collapse in undrained clay, Géotechnique 56(9) (2006) 585–595. Crossref, Web of Science, Google Scholar
4. S. W. Sloan and A. Assadi, Undrained stability of square tunnel in a soil whose strength increases linealy with depth, Comput. Geotech. 12 (1991) 321–346. Crossref, Google Scholar
5. S. W. Sloan and A. Assadi, Stability of shallow tunnels in soft ground, in Proc. Wroth Memorial Symp. Predictive Soil Mechanics, July 1993, Oxford, UK. Google Scholar
6. D. W. Wilson et al., Undrained stability of a circular tunnel where the shear strength increases linearly with depth, Can. Geotech. J. 48(9) (2011) 1328–1342. Crossref, Web of Science, Google Scholar
7. D. W. Wilson et al., Undrained stability of dual circular tunnels, Int. J. Geomech. 14(1) (2014) 69–79. Crossref, Web of Science, Google Scholar
8. G. Wu et al., Effect of eccentric load on the undrained bearing capacity of strip footings above voids, Int. J. Geomech. 20(7) (2020) 04020078. Crossref, Web of Science, Google Scholar
9. G. Wu et al., Ultimate bearing capacity of eccentrically loaded strip footings above voids in rock masses, Comput. Geotech. 128 (2020) 103819. Crossref, Web of Science, Google Scholar
10. Y. Xiao et al., Stability of two circular tunnels at different depths in cohesive-frictional soils subjected to surcharge loading, Comput. Geotech. 112 (2019) 23–34. Crossref, Web of Science, Google Scholar
11. B. R. Wu and C. J. Lee, Ground movements and collapse mechanisms induced by tunneling in clayey soil, Int. J. Phys. Model. Geotech. 3(4) (2003) 15–29. Google Scholar
12. C. J. Lee et al., Tunnel stability and arching effects during tunneling in soft clayey soil, Tunn. Undergr. Space Technol. 21(2) (2006) 119–32. Crossref, Web of Science, Google Scholar
13. J. Xie, M. J. Gunn and A Rahim, Collapse analysis for two parallel circular tunnels with different diameters in soil, in Proc. 9th Int. Symp. Numerical Models in Geomechanics (NUMOGIX), 2004, Balkema, London, pp. 421–426. Google Scholar
14. A. S. Osman, Stability of unlined twin tunnels in undrained clay, Tunn. Undergr. Space Technol. 25(3) (2010) 290–296. Crossref, Web of Science, Google Scholar
15. J. P. Sahoo and J. Kumar, Stability of long unsupported twin circular tunnels in soils, Tunn. Undergr. Space Technol (2010), https://doi.org/10.1016/j.tust.2013.07.005. Google Scholar
16. J. P. Sahoo and J. Kumar, Required lining pressure for the stability of twin circular tunnels in soils, Int. J. Geomech. 18(7) (2018) 04018069. Crossref, Web of Science, Google Scholar
17. K. Yamamoto et al., Stability of dual circular tunnels in cohesive-frictional soil subjected to surcharge loading, Comput. Geotech. 50 (2013) 41–54. Crossref, Web of Science, Google Scholar
18. J. Zhang et al., Upper-bound stability analysis of dual unlined horseshoe-shaped tunnels subjected to gravity, Comput. Geotech. 97 (2018) 103–110. Crossref, Web of Science, Google Scholar
19. X. J. Gao et al., Dynamic response analysis of long-span continuous bridge considering the effect of train speeds and earthquakes, Int. J. Struct. Stabil. Dyn. 20(6) (2020) 2040013. Link, Web of Science, Google Scholar
20. J. Tan et al., Passive seismic protection of building piping systems-a review, Int. J. Struct. Stabil. Dyn. 20(3) (2020) 2030001. Link, Web of Science, Google Scholar
21. L. Sun et al., Effect of axial compression ratio on seismic behavior of GFRP reinforced concrete columns, Int. J. Struct. Stabil. Dyn. 20(6) (2020) 2040004. Link, Web of Science, Google Scholar
22. J. P. Sahoo and J. Kumar, Seismic stability of a long unsupported circular tunnel, Comput. Geotech. 44 (2012) 109–115. Crossref, Web of Science, Google Scholar
23. J. P. Sahoo and J. Kumar, Stability of a circular tunnel in presence of pseudostatic seismic body forces, Tunn. Undergr. Space Technol. 42 (2014) 264–276. Crossref, Web of Science, Google Scholar
24. D. Chakraborty and J. Kumar, Stability of a long unsupported circular tunnel in soils with seismic forces, Nat. Hazards 68(2) (2013) 419–431. Crossref, Web of Science, Google Scholar
25. K. C. Lin et al., Seismic analysis of underground tunnels by the 2.5D finite/infinite element approach, Soil Dyn. Earthq. Eng. 85 (2016) 31–43. Crossref, Web of Science, Google Scholar
26. S. Y. Lin et al., Seismic analysis of twin tunnels by a finite/infinite element approach, Int. J. Geomech. 17(9) (2017) 04017060-1. Crossref, Web of Science, Google Scholar
27. K. Krabbenhoft, A. V. Lyamin and M. Hjiaj, A new discontinuous upper bound limit analysis formulation, Int. J. Numer. Methods Eng. 63 (2005) 1069–1088. Crossref, Web of Science, Google Scholar
28. A. V. Lyamin, K. Krabbenhoft and A. J. Abbo, General approach to modelling discontinuities in limit analysis, in Proc. 11th Int. Conf. Int. Assoc. Computer Methods and Advances in Geomechanics (IACMAG 2005), Torino, Vol. 1, 2005, pp. 95–102. Google Scholar
29. H. Ciria et al., Mesh adaptive computation of upper and lower bounds in limit analysis, Int. J. Numer. Methods Eng. 8 (2008) 899–944. Crossref, Web of Science, Google Scholar
30. J. J. Munoz et al., Upper and lower bounds in limit analysis: adaptive meshing strategies and discontinuous loading, Int. J. Numer. Methods Eng. 77(4) (2009) 471–501. Crossref, Web of Science, Google Scholar
31. J. Herskovits et al., Mathematical programming models and algorithms for engineering design optimization, Comput. Methods Appl. Mech. Eng. 194(3033) (2005) 3244–3268. Crossref, Web of Science, Google Scholar
32. R. Zhang, L. Li and L. Zhao, An adaptive remeshing procedure for discontinuous finite element limit analysis, Int. J. Numer. Methods Eng. 116(5) (2018) 287–307. Crossref, Web of Science, Google Scholar