Skip to main content
Log in

Stability Analysis of Shield Excavation Surface with Curved Body Model

  • Tunnel Engineering
  • Published:
KSCE Journal of Civil Engineering Aims and scope

Abstract

Currently, the limit equilibrium method of wedge shape is generally adopted for the stability of the excavation surface in shield tunnel construction. In this method, the sliding surface is approximated by a plane, and the lateral friction force of the sliding surface is estimated and assumed to be a known quantity to derive the equilibrium equation and calculate the support force of the excavation surface. However, it is difficult to accurately estimate the lateral friction force of the sliding surface because of many factors that affect such friction, for example, soil arching. In this paper, a sliding block model of curved surface body composed of a semicircular platform and a partial sphere is proposed for the stability of the excavation surface in shield tunnel construction. By using the symmetry of the surface body model, there is no need for estimating the friction force of the sliding surface during the stability analysis of the excavation surface, and the calculation accuracy of the limit support pressure is improved. Furthermore, the force analysis of the semi-circular platform surface model above the tunnel vault is carried out. Considering the variation of the lateral pressure coefficient caused by the deflection of the principal stress under the soil arch effect, the analytical solution of the vertical stress in the soil is derived when the sliding crack surface is curved. Finally, we present a sensitivity analysis of various parameters affecting the support force of the excavation face through the study of examples. The influencing factors and changing rules related to the support force of the excavation face are also discussed.

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.

Similar content being viewed by others

References

  • Anaunostou G (2012) The contribution of horizontal arching to tunncl face stability. Geotcchnik 2012 35(1):34–44, DOI: https://doi.org/10.1002/gete.201100024

    Article  Google Scholar 

  • Broms BB, Bennermark H (1967) Stability of clay at vertical openings. Journal of Soil Mechanics and Foundation Engineering Division 93(1):71–94, DOI: https://doi.org/10.1061/JSFEAQ.0000946

    Article  Google Scholar 

  • Chen RP, Tang LJ, Yin XS (2015) An improved 3D wedge-prism model for the face stability analysis of the shield tunnel in cohesionless soils. Acta Geotechnica, 2015 10(5):683–692, DOI: https://doi.org/10.1007/s11440-014-0304-5

    Article  Google Scholar 

  • Cui XP (2021) Study on shield tunnel support based on three-dimensional bucket soil arch, Hebei University of Engineering, Handan, China

    Google Scholar 

  • Davis EH, Gunn MJ, Mair RJ, Seneviratne HN (1980) The stability of shallow tunnels and underground openings in cohesive material. Géotechnique 30(4):397–416, DOI: https://doi.org/10.1680/geot.1980.30.4.397

    Article  Google Scholar 

  • Dong XW (2020) Stability analysis on shield across the excavation section. Track Traffic & Underground Engineering 38(4):153–157

    Google Scholar 

  • Horn M (1961) Horizontal earth pressure on perpendicular tunnel face, Hungarian National Conference of the Foundation Engineer Industry. Budapest 7–16 (in Hungarian)

  • Hu XY (2010) Study on face stability and its failure mechanism for large slurry shield-driven tunnel in complex ground condition-couplin macroscopic aspect. Tongji University, Shanghai, China

    Google Scholar 

  • Li CL (2014) Method for calculating loosening earth pressure during construction of shield tunnels. Chinese Journal of Geotechnical Engineering 36(9):1714–1720, DOI: https://doi.org/10.11779/CJGE201409019

    Google Scholar 

  • Liu KQ, Ding WT, CHen R, Hou ML (2020) Construction of three-dimensional failure model of shield tunnel face and calculation of the limit supporting force. Rock and Soil Mechanics 41(7):2293–2303,2469, DOI: https://doi.org/10.16285/j.rsm.2019.1412

    Google Scholar 

  • Lv XL, Zhou YC, Huang MS, Zeng S (2018) Experimental study of the face stability of shield tunnel in sands under seepage condition. Tunnelling and Underground Space Technology, 2018 74:195–205, DOI: https://doi.org/10.1016/j.tust.2018.01.015

    Article  Google Scholar 

  • MIU LC, WANG ZX, SHI WB (2015) Theoretical and numerical simulations of face stability around shield tunnels in sand. Chinese Journal of Geotechnical Engineering 37(1):98–104, DOI: https://doi.org/10.11779/CJGE201501011

    Google Scholar 

  • Mollon G, Dias D, Soubra A-H (2010) Face stability analysis of circular tunnels driven by a pressurized shield. Journal of Geotechnical and Geoenvironmental Engineering, 2010 136(1):215–229, DOI: https://doi.org/10.1061/(asce)gt.1943-5606.0000194

    Article  Google Scholar 

  • Mollon G, Dias D, Soubra A-H (2011) Rotational failure mechanisms for the face stability analysis of tunnels driven by a pressurized shield. International Journal for Numerical and Analytical Methods in Geomechanics 2011, 35(12):1363–1388, DOI: https://doi.org/10.1002/nag.962

    Article  Google Scholar 

  • Mollon G, Dias D, Soubra A-Hm (2013) Continuous velocity fields for collapse and blowout of a pressurized tunnel face in purely cohesive soil. International Journal for Numerical and Analytical Methods in Geomechanics, 2013 37(13):2061–2083, DOI: https://doi.org/10.1002/nag.2121

    Article  Google Scholar 

  • Qin JS (2005) Study on faee deformation and collapse of earth pressure shield tunnel. Hohai University, Nanjing, China

    Google Scholar 

  • Soubra AH, ASCE M, Dias D, ASCE M, Emeriault F, Kastner R (2008) Three-dimensional face stability analysis of circular tunnels by a kinematical approach. Proceedings of the GeoCongress, Characterization, Monitoring, and Modelling of Geosystems, 9–12, 2008, USA New Orleans, DOI: https://doi.org/10.1061/40972(311)112

  • Sterpi D, Cividini A, Sakurai A, Nishitake S (1996) Laboratory model tests and numerical analysis of shallow tunnels. ISRM International Symposium—EUROCK 96, 1996

  • Subrin D, Wong H (2002) Tunnel face stability in frictional material: A new 3D failure mechanism. Comptes Rendus Mecanique, 2002 330(7):513–519

    Article  MATH  Google Scholar 

  • Wei G (2005) Theoertieal study on porperties of soil and sturcture during pipe jacking construction. Zhejiang University, Hanzhou, China

    Google Scholar 

  • Xu QW, Tang ZH, Zhu HH, Wang GF, Lu LH (2017) Limit support pressure at excavation face of shield tunnels. Chinese Journal of Geotechnical Engineering 39(7):1234–1240, DOI: https://doi.org/10.11779/CJGE201707009

    Google Scholar 

  • Zhang CP, Li W, Zhu WJ, Zhu WJ, Tan ZB (2020) Face stability analysis of a shallow horseshoe-shaped shield tunnel in clay with a linearly increasing shear strength with depth. Tunnelling and Underground Space Technology, 2020 97:103291, DOI: https://doi.org/10.1016/j.tust.2020.103291

    Article  Google Scholar 

  • Zhao W, Cheng C, Li SG, Xu H, Zhu L (2017) Analysis and improvement of wedge supporting pressure model of shield tunnel excavation face. China J. Highw. Transp 30(8):74–81, DOI: https://doi.org/10.19721/j.cnki.1001-7372.2017.08.008

    Google Scholar 

Download references

Acknowledgments

This paper was supported by Anhui Provincial Natural Science Foundation (Grant No. 1808085ME162), the Excellent Top Talents Training Program of Anhui Provincial Colleges and Universities (No.gxbjZD2022068) and Tongling University Foundation for Leaders of Disciplines in Science, China (No. 2020tlxyxs19). The author wishes to express his gratitude for the support given to this work.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chun-lin Li.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, Cl. Stability Analysis of Shield Excavation Surface with Curved Body Model. KSCE J Civ Eng 26, 5342–5352 (2022). https://doi.org/10.1007/s12205-022-0068-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12205-022-0068-7

Keywords

Navigation