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Deformation control criterion of shield tunnel under lateral relaxation of soft soil

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Abstract

Metro shield tunnels under the lateral relaxation of soil (LRS) are susceptible to significant lateral deformations, which jeopardizes the structural safety and waterproofing. However, deformation control standards for such situations have not been clearly defined. Therefore, based on a specific case, a model test is conducted to realize the LRS of a shield tunnel in a sandy stratum to reveal its effect on segment liners. Subsequently, a deformation control criterion is established. The LRS is simulated by linearly reducing the loads applied to the lateral sides of the segment structure. During lateral unloading, the lateral earth pressure coefficient on the segment decreases almost exponentially, and the structural deformation is characterized by horizontal expansion at the arch haunches and vertical shrinkage at the arch vault and arch bottom. Based on the mechanical pattern of the segment structure and the acoustic emission, the deformation response of a segment can be classified into three stages: elastic and quasi-elastic, damage, and rapid deformation development. For a shield tunnel with a diameter of approximately 6 m and under the lateral relaxation of sandy soil, when the ellipticity of the segment is less than 2.71%, reinforcement measures are not required. However, the segment deformation must be controlled when the ellipticity is 2.71% to 3.12%; in this regard, an ellipticity of 3% can be used as a benchmark in similar engineering projects.

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References

  1. Liu X, Bai Y, Yuan Y, Mang H A. Experimental investigation of the ultimate bearing capacity of continuously jointed segmental tunnel linings. Structure and Infrastructure Engineering, 2016, 12(10): 1364–1379

    Article  Google Scholar 

  2. Zhang Z, Huang M, Wang W. Evaluation of deformation response for adjacent tunnels due to soil unloading in excavation engineering. Tunnelling and Underground Space Technology, 2013, 38: 244–253

    Article  Google Scholar 

  3. Chen R P, Meng F Y, Li Z C, Ye Y H, Ye J N. Investigation of response of metro tunnels due to adjacent large excavation and protective measures in soft soils. Tunnelling and Underground Space Technology, 2016, 58: 224–235

    Article  Google Scholar 

  4. Liang R Z, Wu W B, Yu F, Jiang G S, Liu J W. Simplified method for evaluating shield tunnel deformation due to adjacent excavation. Tunnelling and Underground Space Technology, 2018, 71: 94–105

    Article  Google Scholar 

  5. Sharma J S, Hefny A M, Zhao J, Chan C W. Effect of large excavation on deformation of adjacent MRT tunnels. Tunnelling and Underground Space Technology, 2001, 16(2): 93–98

    Article  Google Scholar 

  6. Liang R Z, Xia T D, Huang M S, Lin C G. Simplified analytical method for evaluating the effects of adjacent excavation on shield tunnel considering the shearing effect. Computers and Geotechnics, 2017, 81: 167–187

    Article  Google Scholar 

  7. Huang X, Schweiger H F, Huang H W. Influence of deep excavations on nearby existing tunnels. International Journal of Geomechanics, 2013, 13(2): 170–180

    Article  Google Scholar 

  8. Zheng G X, Yang H, Zhou Y, Du J, Sun X Y, Yu X. A simplified prediction method for evaluating tunnel displacement induced by laterally adjacent excavations. Computers and Geotechnics, 2018, 95: 119–128

    Article  Google Scholar 

  9. Wu H N, Shen S L, Liao S M, Yin Z Y. Longitudinal structural modelling of shield tunnels considering shearing dislocation between segmental rings. Tunnelling and Underground Space Technology, 2015, 50: 317–323

    Article  Google Scholar 

  10. Wu H N, Shen S L, Yang J, Zhou A N. Soil-tunnel interaction modelling for shield tunnels considering shearing dislocation in longitudinal joints. Tunnelling and Underground Space Technology, 2018, 78: 168–177

    Article  Google Scholar 

  11. Shi C H, Cao C Y, Lei M F, Peng L M, Ai H J. Effects of lateral unloading on the mechanical and deformation performance of shield tunnel segment joints. Tunnelling and Underground Space Technology, 2016, 51: 175–188

    Article  Google Scholar 

  12. Mitchell J K, Soga K. Fundamentals of Soil Behavior. 4th ed. New Jersey: Wiley, 2005

    Google Scholar 

  13. Xia M Y, Sun Y M. Law of consolidation creep ctrain and stress relaxation in saturated soft clay. Journal of Tongji University, 1996, 17(3): 319–327 (in Chinese)

    Google Scholar 

  14. Lade P V, Nam J, Liggio C D Jr. Effects of particle crushing in stress drop-relaxation experiments on crushed coral sand. Journal of Geotechnical and Geoenvironmental Engineering, 2010, 136(3): 500–509

    Article  Google Scholar 

  15. Lade P V, Karimpour H. Stress relaxation behavior in Virginia Beach sand. Canadian Geotechnical Journal, 2015, 52(7): 813–835

    Article  Google Scholar 

  16. Yin Z Y, Zhang D M, Hicher P, Huang H W. Modelling of time-dependent behaviour of soft soils using simple elasto-viscoplastic model. Chinese Journal of Geotechnical Engineering, 2008, 30(6): 880–888

    Google Scholar 

  17. Tong F, Yin J H. Experimental and constitutive modeling of relaxation behaviors of three clayey soils. Journal of Geotechnical and Geoenvironmental Engineering, 2013, 139(11): 1973–1981

    Article  Google Scholar 

  18. Wang J F, Xia Z Q. DEM study of creep and stress relaxation behaviors of dense sand. Computers and Geotechnics, 2021, 134: 104142

    Article  Google Scholar 

  19. Xu M, Hong J T, Song E X. DEM study on the macro- and micro-responses of granular materials subjected to creep and stress relaxation. Computers and Geotechnics, 2018, 102: 111–124

    Article  Google Scholar 

  20. Yao B B, Ma H H. Stress relaxation test and constitutive equation of saturated soft soil. Journal of Highway and Transportation Research and Development, 2011, 28(7): 14–18 (in Chinese)

    Google Scholar 

  21. Tian G F, Tang L S. Lateral stress relaxation of soil under confined compression condition. Rock and Soil Mechanics, 2012, 33(3): 783–787 (in Chinese)

    Google Scholar 

  22. Zhang D M, Xie X C, Li Z L, Zhang J. Simplified analysis method for predicting the influence of deep excavation on existing tunnels. Computers and Geotechnics, 2020, 121: 103477

    Article  Google Scholar 

  23. Yang P, Song L, Xue S B, Jiang T. State-of-the-art of the stress relaxation tests and constitutive model research. Soil and Engineering & Foundation, 2017, 31(2): 206–210 (in Chinese)

    Google Scholar 

  24. González C, Sagaseta C. Patterns of soil deformations around tunnels: Application to the extension of Madrid Metro. Computers and Geotechnics, 2001, 28(6–7): 445–468

    Article  Google Scholar 

  25. Zhang D M, Zou W B, Yan J Y. Effective control of large transverse deformation of shield tunnels using grouting in soft deposits. Chinese Journal of Geotechnical Engineering, 2014, 36(12): 2204–2212 (in Chinese)

    Google Scholar 

  26. Shen S L, Wu H N, Cui Y J, Yin Z Y. Long-term settlement behaviour of metro tunnels in the soft deposits of Shanghai. Tunnelling and Underground Space Technology, 2014, 40: 309–323

    Article  Google Scholar 

  27. Zhang D M, Huang Z K, Wang R L, Yan J Y, Zhang J. Grouting-based treatment of tunnel settlement: practice in Shanghai. Tunnelling and Underground Space Technology, 2018, 80: 181–196

    Article  Google Scholar 

  28. Wang S M, Ruan L, Shen X Z, Dong W J. Investigation of the mechanical properties of double lining structure of shield tunnel with different joint surface. Tunnelling and Underground Space Technology, 2019, 90: 404–419

    Article  Google Scholar 

  29. Liu C K, Wang S M, Guo W Q, Chen F, Zhang J B, He C. Investigation of the deformation characteristics and bearing capacity of a segment structure of a shield tunnel with cracks. KSCE Journal of Civil Engineering, 2022, 26(1): 381–393

    Article  Google Scholar 

  30. GB50010-2010. Code for Design of Concrete Structures. Beijing: Ministry of Construction of the PRC, 2010 (in Chinese)

    Google Scholar 

  31. Wang S M, Yu Q Y, Peng B, Xu G W. Model test study on progressive failure mechanism of segment lining structure of underwater shield tunnel. China Civil Engineering Journal, 2016, 49(4): 111–120 (in Chinese)

    Google Scholar 

  32. Feng K, He C, Qiu L, Zhang L, Wang W, Xie H M, Zhang Y Y, Cao S Y. Full-scale tests on bending behavior of segmental joints for large underwater shield tunnels. Tunnelling and Underground Space Technology, 2018, 75: 100–116

    Article  Google Scholar 

  33. Xu G W, Wang S M, Dai G H, An Z L. Research on the circumferential simulation method of shield tunnel joints based on internal and external division slotting. Journal of the China Railway Society, 2016, 38(4): 90–97 (in Chinese)

    Google Scholar 

  34. Chen J S, Mo H H. Numerical study on crack problems in segments of shield tunnel using finite element method. Tunnelling and Underground Space Technology, 2009, 24(1): 91–102

    Article  Google Scholar 

  35. He C, Zhang J G, Su Z X. Structural Mechanical Properties of Large-section Underwater Shield Tunnels. 1st ed. Beijing: Science Press, 2010 (in Chinese)

    Google Scholar 

  36. Ye F, Gou C F, Sun H D, Liu Y P, Xia Y X, Zhou Z. Model test study on effective ratio of segment transverse bending rigidity of shield tunnel. Tunnelling and Underground Space Technology, 2014, 41: 193–205

    Article  Google Scholar 

  37. Wang R L. Analysis of deformation influencing factors and deformation characteristics of soft ground railway tunnels in Shanghai. Underground Engineering and Tunnels, 2009, 1: 1–7 (in Chinese)

    Google Scholar 

  38. Zhao H L, Liu X, Bao Y H, Yuan Y, Bai Y. Simplified nonlinear simulation of shield tunnel lining reinforced by epoxy bonded steel plates. Tunnelling and Underground Space Technology, 2016, 51: 362–371

    Article  Google Scholar 

Download references

Acknowledgements

This study was supported by the National Natural Science Foundation of China (Grant Nos. 52178398, 51991394, and 51278424).

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Correspondence to Shimin Wang.

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Wang, S., Peng, X., Zhou, H. et al. Deformation control criterion of shield tunnel under lateral relaxation of soft soil. Front. Struct. Civ. Eng. 17, 780–795 (2023). https://doi.org/10.1007/s11709-023-0944-3

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  • DOI: https://doi.org/10.1007/s11709-023-0944-3

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