Skip to main content
Log in

Significance and formulation of ground loss in tunneling-induced settlement prediction: a data-driven study

  • Research Paper
  • Published:
Acta Geotechnica Aims and scope Submit manuscript

Abstract

Ground loss is the volume of soil excavated in excess of designed excavation. It defines the boundary conditions for ground deformation field and thereby dominates the magnitude of tunneling-induced ground settlement. In practice, it is generally quantified by a parameter called ground loss parameter. To date, there is no unanimously agreed formulation for ground loss parameter despite its indispensable role in developing both empirical and analytical solutions for tunneling-induced ground settlement. Herein, a comprehensive field database is utilized to quantitatively assess existing formulations of ground loss, and to unravel its role in settlement prediction via inverse analysis. It reveals that remarkable errors can be generated by classical solutions for tunneling-induced ground settlement. This implies that the reliability of classical solutions for tunneling-induced settlement can be potentially improved with a more accurate formulation of ground loss. A data-driven formulation for ground loss is developed with aid of the random forest algorithm, and it can well capture the target value with an R-value equaling 0.84. The developed formulation is further implemented in the O’Reilly and New solution, yielding a hybrid model for settlement prediction. The hybrid model can accurately predict the actual settlement with an R-value of 0.84, outperforming the purely data-driven model and further confirming the accuracy of the proposed formulation of ground loss.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

References

  1. Allen DM (1974) The relationship between variable selection and data agumentation and a method for prediction. Technometrics 16(1):125–127

    Article  MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

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

    Article  Google Scholar 

  4. Breiman L (2001) Random forests. Mach Learn 45(1):5–32

    Article  MATH  Google Scholar 

  5. Bobet A (2001) Analytical solutions for shallow tunnels in saturated ground. J Eng Mech 127(12):1258–1266

    Article  Google Scholar 

  6. Chakeri H, Ozcelik Y, Unver B (2013) Effects of important factors on surface settlement prediction for metro tunnel excavated by EPB. Tunn Undergr Space Technol 36:14–23

    Article  Google Scholar 

  7. Chambon P, Corte JF (1994) Shallow tunnels in cohesionless soil: stability of tunnel face. J Geotech Eng 120(7):1148–1165

    Article  Google Scholar 

  8. Chen R, Tang L, Yin X, Chen Y, Bian X (2015) An improved 3D wedge-prism model for the face stability analysis of the shield tunnel in cohesionless soils. Acta Geotech 10(5):683–692

    Article  Google Scholar 

  9. Chi S-Y, Chern JC, Lin CC (2001) Optimized back-analysis for tunneling-induced ground movement using equivalent ground loss model. Tunn Undergr Space Technol 16(3):159–165

    Article  Google Scholar 

  10. Chou WI, Bobet A (2002) Predictions of ground deformations in shallow tunnels in clay. Tunn Undergr Space Technol 17(1):3–19

    Article  Google Scholar 

  11. Clough GW, Schmidt B (1981) Design and performance of excavations and tunnels in soft clay. In: Brand EW, Brenner RP (eds) Soft clay engineering. Elsevier, Amsterdam

    Google Scholar 

  12. Dalong J, Xiang S, Dajun Y (2020) Theoretical analysis of three-dimensional ground displacements induced by shield tunneling. Appl Math Model 79:85–105

    Article  MathSciNet  MATH  Google Scholar 

  13. Fattah MY, Shlash KT, Salim NM (2013) Prediction of settlement trough induced by tunneling in cohesive ground. Acta Geotech 8(2):167–179

    Article  Google Scholar 

  14. Fu J, Yang J, Klapperich H, Wang S (2016) Analytical prediction of ground movements due to a nonuniform deforming tunnel. Int J Geomech 16(4):04015089

    Article  Google Scholar 

  15. Glossop N (1978) Ground movements caused by tunnelling in soft soils. Dissertation, University of Durham

  16. Golpasand MRB, Nikudel MR, Uromeihy A (2016) Specifying the real value of volume loss (VL) and its effect on ground settlement due to excavation of Abuzar tunnel, Tehran. Bull Eng Geol Env 75(2):485–501

    Article  Google Scholar 

  17. Gonzalez C, Sagaseta C (2001) Patterns of soil deformations around tunnels. Application to the extension of Madrid Metro. Comput Geotech 28(6–7):445–468

    Article  Google Scholar 

  18. Jin H, Yuan D, Jin D, Wu J, Wang X, Han B, Mao J (2022) Shield kinematics and its influence on ground settlement in ultra-soft soil: a case study in Suzhou. Can Geotech J 59(11):1887–1900

    Article  Google Scholar 

  19. Kannangara KPM, Zhou W, Ding Z, Hong Z (2022) Investigation of feature contribution to shield tunneling-induced settlement using Shapley additive explanations method. J Rock Mech Geotech Eng 14(4):1052–1063

    Article  Google Scholar 

  20. Knothe S (1957) Observations of surface movements under influence of mining and their theoretical interpretation. In: Proceedings of the European Congress on Ground Movement, pp 210–218

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

    Article  Google Scholar 

  22. Lin Q, Tian Y, Lu D, Gong Q, Du X, Gao Z (2021) A prediction method of ground volume loss variation with depth induced by tunnel excavation. Acta Geotech 16(11):3689–3707

    Article  Google Scholar 

  23. Loganathan N, Poulos H (1998) Analytical prediction for tunneling-induced ground movements in clays. J Geotech Geoenviron Eng 124(9):846–856

    Article  Google Scholar 

  24. Loganathan N, Poulos H, Stewart D (2000) Centrifuge model testing of tunnelling-induced ground and pile deformations. Géotechnique 50(3):283–294

    Article  Google Scholar 

  25. Ma C, Lu D, Du X, Qi C (2018) Effect of buried depth on seismic response of rectangular underground structures considering the influence of ground loss. Soil Dyn Earthq Eng 106:278–297

    Article  Google Scholar 

  26. Mitchell T (1997) Machine learning. McGraw-hill, New York

    MATH  Google Scholar 

  27. O'Reilly MP, New B (1982) Settlements above tunnels in the United Kingdom-their magnitude and prediction. Tunneling 171–193

  28. Park KH (2005) Analytical solution for tunnelling-induced ground movement in clays. Tunn Undergr Space Technol 20(3):249–261

    Article  Google Scholar 

  29. Park K (2004) Elastic solution for tunneling-induced ground movements in clays. Int J Geomech 4(4):310–318

    Article  Google Scholar 

  30. Peck RB (1969) Deep excavations and tunneling in soft ground In: Proceedings of the international conference in soil mechanics and foundation engineering, pp 225–290

  31. Peila D (1994) A theoretical study of reinforcement influence on the stability of a tunnel face. Geotech Geol Eng 12(3):145–168

    Article  Google Scholar 

  32. Ren DJ, Shen SL, Arulrajah A, Wu HN (2018) Evaluation of ground loss ratio with moving trajectories induced in double-O-tube (DOT) tunnelling. Can Geotech J 55(6):894–902

    Article  Google Scholar 

  33. Rowe R, Lo K, Kack G (1983) A method of estimating surface settlement above tunnels constructed in soft ground. Can Geotech J 20(1):11–22

    Article  Google Scholar 

  34. Rowe RK, Lee K (1992) Subsidence owing to tunnelling. II. Evaluation of a prediction technique. Can Geotech J 29(6):941–954

    Article  Google Scholar 

  35. Sagaseta C (1987) Analysis of undrained soil deformation due to ground loss. Géotechnique 37(3):301–320

    Article  Google Scholar 

  36. Sugimoto M, Sramoon A (2002) Theoretical model of shield behavior during excavation. I: theory. J Geotech Geoenviron Eng 128(2):138–155

    Article  Google Scholar 

  37. Suwansawat S, Einstein HH (2006) Artificial neural networks for predicting the maximum surface settlement caused by EPB shield tunneling. Tunn Undergr Space Technol 21(2):133–150

    Article  Google Scholar 

  38. Tang L, Na S (2021) Comparison of machine learning methods for ground settlement prediction with different tunneling datasets. J Rock Mech Geotech Eng 13(6):1274–1289

    Article  Google Scholar 

  39. Verruijt A (1998) Deformations of an elastic half plane with a circular cavity. Int J Solids Struct 35(21):2795–2804

    Article  MATH  Google Scholar 

  40. Vu MN, Broere W, Bosch J (2016) Volume loss in shallow tunnelling. Tunn Undergr Space Technol 59:77–90

    Article  Google Scholar 

  41. Wang C, Wang K, Tang D, Hu B, Kelata Y (2022) Spatial random fields-based Bayesian method for calibrating geotechnical parameters with ground surface settlements induced by shield tunneling. Acta Geotech 17(4):1503–1519

    Article  Google Scholar 

  42. Ying H, Cheng K, Liu S, Xu R, Lin C, Zhu C, Gan X (2022) An efficient method for evaluating the ground surface settlement of Hangzhou metro deep basement considering the excavation process. Acta Geotech 17(11):5759–5771

    Article  Google Scholar 

  43. Zhang K, Lyu HM, Shen SL, Zhou A, Yin ZY (2020) Evolutionary hybrid neural network approach to predict shield tunneling-induced ground settlements. Tunn Undergr Space Technol 106:103594

    Article  Google Scholar 

  44. Zhang P, Yin ZY, Chen RP (2020) Analytical and semi-analytical solutions for describing tunneling-induced transverse and longitudinal settlement troughs. Int J Geomech 20(8):04020126

    Article  Google Scholar 

  45. 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 

  46. Zhu C, Li N (2017) Prediction and analysis of surface settlement due to shield tunneling for Xi’an Metro. Can Geotech J 54(4):529–546

    Article  Google Scholar 

Download references

Acknowledgements

This research was sponsored by the National Key Research and Development Program of China (2019YFB1705201) and National Natural Science Foundation of China (Grants No. 52090082). These financial supports are gratefully acknowledged. We sincerely appreciate the thoughtful and constructive comments provided by the editor and reviewers.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chao Zhang.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ren, Y., Zhang, C., Zhu, M. et al. Significance and formulation of ground loss in tunneling-induced settlement prediction: a data-driven study. Acta Geotech. 18, 4941–4956 (2023). https://doi.org/10.1007/s11440-023-01859-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11440-023-01859-8

Keywords

Navigation