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A prediction method of ground volume loss variation with depth induced by tunnel excavation

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Abstract

A new concept called the transmission ratio of ground volume loss (TRGVL) is proposed to describe the variation law of ground volume loss with depth above the tunnel. Based on the developed Gaussian function, the formula for TRGVL is deduced. Further, the first-order derivative of TRGVL is presented to evaluate the dilation and compression degree of the soil at any depth above the tunnel. A total of 15 cases, involving eight field project cases and seven model test cases, are investigated to validate rationality of the proposed formula. The results of field projects and model test cases indicate variation in TRGVL presents four forms. By analysing the volumetric deformation of the soil above the tunnel, formation mechanism of the each form of TRGVL is revealed. Finally, the evolution of the four forms of TRGVL is used to evaluate the disturbance degree of the soil above the tunnel.

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Abbreviations

D :

Excavation diameter of the tunnel

i(z):

Settlement trough width coefficient at a depth of z

k :

Slope of i(z)

S max(z):

Maximum settlement at depth z

V l :

Ground volume of the tunnel excavation section

V l,r :

Ground volume loss ratio of the tunnel excavation section

V l(z):

Ground volume loss at depth z

T(z):

Transmission ratio of the ground volume loss at depth z

z 0 :

Depth of the tunnel crown

z :

Depth, measured from ground surface

ξ :

Parameter used in empirical formulas of Smax(z)

References

  1. Atkinson JH, Potts DM (1977) Subsidence above shallow tunnels in soft ground. ASCE J Geotech Eng Div 103(4):307–325

    Article  Google Scholar 

  2. Attewell PB, Farmer IW (1974) Ground deformations resulting from shield tunnelling in London Clay. Can Geotech J 11(3):380–395

    Article  Google Scholar 

  3. Boonsiri I, Takemura J, Ittichai B, Jiro T (2015) Observation of ground movement with existing pile groups due to tunneling in sand using centrifuge modelling. Geotech Geol Eng 33:621–640

    Article  Google Scholar 

  4. Celestino TB, Gomes RAMP, Bortolucci AA (2000) Errors in ground distortions due to settlement trough adjustment. Tunn Undergr Space Technol 15(1):97–100

    Article  Google Scholar 

  5. Chen RP, Zhu J, Liu W, Tang XW (2011) Ground movement induced by parallel EPB tunnels in silty soils. Tunn Undergr Space Technol 26(1):163–171

    Article  Google Scholar 

  6. Dong XJ, Karrech A, Qi CC, Elchalakani M, Basarir H (2019) Analytical solution for stress distribution around deep lined pressure tunnels under the water table. Int J Rock Mech Min Sci 123:104124

    Article  Google Scholar 

  7. Fang Q, Liu X, Zhang DL, Lou HC (2017) Shallow tunnel construction with irregular surface topography using cross diaphragm method. Tunn Undergr Space Technol 68:11–21

    Article  Google Scholar 

  8. Fang YS, Wu CT, Chen SF (2012) An estimation of subsurface settlement due to shield tunneling. Tunn Undergr Space Technol 44:121–129

    Article  Google Scholar 

  9. Federico P, Despina M, Zymnis SM, Andrew JW (2014) Ground movements due to shallow tunnels in soft ground. II: analytical interpretation and prediction. ASCE J Geotech Geoenviron Eng 140(4):04013041

    Article  Google Scholar 

  10. Franza A (2017) Tunnelling and its effects on piles and piled structures. PhD thesis, University of Nottingham

  11. Hu XY, Yan QX, He C, Yang XY (2016) Study on the disturbance and excavation face failure feature of granular mixtures stratum due to EPB shield tunneling. Chin J Rock Mech Eng 35(8):1618–1627

    Google Scholar 

  12. Ieronymaki ES, Whittle AJ, Einstein HH (2018) Comparative study of the effects of three tunneling methods on ground movements in stiff clay. Tunn Undergr Space Technol 74(4):167–177

    Article  Google Scholar 

  13. Jiang YC, He C, Hu XY, Fang Y (2013) Laboratory test study of soil disturbance caused by shield tunnelling in sandy strata. Chin J Rock Mech Eng 32(12):2550–2559

    Google Scholar 

  14. Lee KM, Rowe RK, Lo KY (1992) Subsidence owing to tunnelling. I. Estimating the gap parameter. Can Geotech J 29(6):929–940

    Article  Google Scholar 

  15. Lee YJ (2009) Investigation of subsurface deformations associated with model tunnels in a granular mass. Tunn Undergr Space Technol 24(6):654–664

    Article  Google Scholar 

  16. Li Y (2004) The 3D FEM simulation and experimental research on ground deformation by shield driven. PhD thesis, Tianjin University

  17. Loganathan N, Poulos HG (1998) Analytical prediction for tunneling induced ground movement in clays. ASCE J Geotech Geoenviron Eng 124(9):846–856

    Article  Google Scholar 

  18. Lu DC, Lin QT, Tian Y, Du XL, Gong QM (2020) Formula for predicting ground settlement induced by tunnelling based on Gaussian function. Tunn Undergr Space Technol 103:103443

    Article  Google Scholar 

  19. Lu DC, Kong FC, Du XL, Shen CP, Gong QM, Li PF (2019) A unified displacement function to analytically predict ground deformation of shallow tunnel. Tunn Undergr Space Technol 88:129–143

    Article  Google Scholar 

  20. Lu DC, Kong FC, Du XL, Shen CP, Su CC, Wang J (2020) Fractional viscoelastic analytical solution for the ground displacement of a shallow tunnel based on a time-dependent unified displacement function. Comput Geotech 117:103284

    Article  Google Scholar 

  21. Mahmoud A, Magued I (2011) Analysis of tunneling-induced ground movements using transparent soil models. J Geotech Geoenviron Eng ASCE 137(5):525–535

    Article  Google Scholar 

  22. Mair RJ, Taylor RN, Bracegirdle A (1993) Subsurface settlement profiles above tunnels in clays. Géotechnique 43(2):315–320

    Article  Google Scholar 

  23. Mair RJ, Taylor RN (1997) Bored tunnelling in the urban environment. In: Proceeding of the 14th international conference of soil mechanics and foundation engineering, Hamburg, UK

  24. Marshall AM (2009) Tunnelling in sand and its effect on pipelines and piles. PhD thesis, University of Cambridge

  25. Marshall AM, Farrell R, Klar A, Mair RJ (2012) Tunnels in sands: the effect of size, depth and volume loss on greenfield displacements. Géotechnique 62(5):385–399

    Article  Google Scholar 

  26. Peck RB (1969) Deep excavations and tunnelling in soft ground. In: Proceedings of the 7th international conference on soil mechanics and foundation engineering. State of the Art Volume, Mexico

  27. Pan ZG (2015) Study on the ground deformation of soil tunnel excavation. PhD thesis, Beijing University of Technology

  28. Vorster TE, Klar A, Soga K, Mair RJ (2005) Estimating the effects of tunneling on existing pipelines. J Geotech Geoenviron Eng 131(11):1399–1410

    Article  Google Scholar 

  29. Wang F, Miao LC, Yang XM, Du YJ, Liang FY (2016) The volume of settlement trough change with depth caused by tunneling in sands. KSCE J Civ Eng 20(7):2719–2724

    Article  Google Scholar 

  30. Wang J, He C, Hu RQ, Dai GH, Wang SM (2017) Soil disturbance induced by EPB shield tunnelling in upper-soft and lower-hard ground. Chin J Rock Mech Eng 36(4):953–963

    Google Scholar 

  31. Wang SJ, Lu AZ, Tao JY, Zeng XT, Yin CL (2020) Analytical solution for an arbitrary-shaped tunnel with full-slip contact lining in anisotropic rock mass. Int J Rock Mech Min Sci 128:104276

    Article  Google Scholar 

  32. Wan MSP, Standing JR, Potts DM, Burland JB (2017) Measured short-term subsurface ground displacements from EPBM tunnelling in London Clay. Géotechnique 67(9):748–779

    Article  Google Scholar 

  33. Wan MSP, Standing JR, Potts DM, Burland JB (2017) Measured short-term ground surface response to EPBM tunnelling in London Clay. Géotechnique 67(5):420–445

    Article  Google Scholar 

  34. Wang HN, Chen XP, Jiang MJ, Song F, Wu L (2018) The analytical predictions on displacement and stress around shallow tunnels subjected to surcharge loadings. Tunn Undergr Space Technol 71:403–427

    Article  Google Scholar 

  35. Yang XL, Wang JM (2011) Ground movement prediction for tunnels using simplified procedure. Tunn Undergr Space Technol 26:462–471

    Article  Google Scholar 

  36. Yi X, Kerryrowe R, Lee KM (1993) Observed and calculated pore pressures and deformations induced by an earth balance shield. Can Geotech J 30:476–490

    Article  Google Scholar 

  37. Yu HT, Cai C, Bobet A, Zhao X, Yuan Y (2019) Analytical solution for longitudinal bending stiffness of shield tunnels. Tunn Undergr Space Technol 83:27–34

    Article  Google Scholar 

  38. Zeng B, Huang D (2016) Soil deformation induced by double-O-tube shield tunneling with rolling based on stochastic medium theory. Tunn Undergr Space Technol 60:165–177

    Article  Google Scholar 

  39. Zhang ZG, Pan YT, Zhang MX, Lv XL, Jiang KM, Lia SN (2020) Complex variable analytical prediction for ground deformation and lining responses due to shield tunneling considering groundwater level variation in clays. Comput Geotech 120(4):103443

    Article  Google Scholar 

  40. Zhao Y (2008) In situ soil testing for foundation performance prediction. PhD thesis, Cambridge University

  41. Zheng G, Dai X, Diao Y, Zeng CF (2016) Experimental and simplified model study of the development of ground settlement under hazards induced by loss of groundwater and sand. Nat Hazards 82(3):1869–1893

    Article  Google Scholar 

  42. Zhou B (2015) Tunnelling-induced ground displacements in sand. PhD thesis, University of Nottingham

  43. Zhou M, Wang F, Du YJ, Liu MD (2019) Laboratory evaluation of buried high-density polyethylene pipes subjected to localized ground subsidence. Acta Geotech 14(4):1081–1099

    Article  Google Scholar 

  44. Zymnis DM, Chatzigiannellis Y, Whittle AJ (2013) Effect of anisotropy in ground movements caused by tunneling. Géotechnique 63(13):1083–1102

    Article  Google Scholar 

Download references

Acknowledgements

The authors gratefully acknowledge financial support from the National Outstanding Youth Science Fund Project of National Natural Science Foundation of China (Grant No. 52025084) and the National Natural Science Foundation of China (Grant Nos. 51538001; 51778026).

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Authors and Affiliations

  1. Institute of Geotechnical and Underground Engineering, Beijing University of Technology, Beijing, 100124, China

    Qingtao Lin, Yu Tian, Dechun Lu, Qiuming Gong & Xiuli Du

  2. James Watt School of Engineering, University of Glasgow, Glasgow, G12 8LT, UK

    Zhiwei Gao

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  1. Qingtao Lin
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  2. Yu Tian
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  3. Dechun Lu
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Correspondence to Dechun Lu.

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Lin, Q., Tian, Y., Lu, D. et al. A prediction method of ground volume loss variation with depth induced by tunnel excavation. Acta Geotech. 16, 3689–3707 (2021). https://doi.org/10.1007/s11440-021-01295-6

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  • DOI: https://doi.org/10.1007/s11440-021-01295-6

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