Environmental Earth Sciences

, Volume 73, Issue 5, pp 2473–2482 | Cite as

Dynamic response of a thawing soil around the tunnel under the vibration load of subway

  • Peng-Peng He
  • Zhen-Dong CuiEmail author
Original Article


A certain thickness of thawing soil remains after the construction of subway tunnel by the artificial freezing method in soft soil area. The physical and mechanical properties of soil change a lot after freezing and thawing; therefore, the dynamic response of thawing soil is different from that of undisturbed soil under the same vibration loads of subway. The numerical simulations of thawing soil and undisturbed soil were conducted in this paper. The variations of the acceleration and the displacement of the surface and some special points were analyzed. The propagation characteristics of wave in the soil and the differences between thawing soil and undisturbed soil were obtained.


Dynamic response Thawing soil Subway vibration Numerical simulation 



This work presented in this paper was supported by the National Natural Science Foundation of China (Grant No. 51208503), the Natural Science Foundation of Jiangsu Province, China (Grant No. BK2012133) and Qing Lan Project.


  1. Alabi B (1992) A parametric study on some aspects of ground-borne vibrations due to rail traffic. J Sound Vib 153(1):77–87CrossRefGoogle Scholar
  2. Brams BB, Yao LYC (1964) Shear strength of a soil after freezing and thawing. J Soil Mech Found Div 90:1–25Google Scholar
  3. Clouteau D, Arnst M, Al-Hussaini TM et al (2005) Freefield vibrations due to dynamic loading on a tunnel embedded in a stratified medium. J Sound Vib 283(1):173–199CrossRefGoogle Scholar
  4. Dawn TM, Stanworth CG (1979) Ground vibrations from passing trains. J Sound Vib 66(3):355–362CrossRefGoogle Scholar
  5. Dieterman HA, Metrikine V (1997) Steady-state displacements of a beam on an elastic half-space due to a uniformly moving constant load. European J Mech Series a Solids 16:295–306Google Scholar
  6. Eason G (1965) The stresses produced in a semi-infinite solid by a moving surface force. Intern J Eng Sci 2(6):581–609CrossRefGoogle Scholar
  7. Ewing WM, Jardetzky WS, Press F (1958) Elastic waves in layered media. GFF 80(1):128–129CrossRefGoogle Scholar
  8. Finn WD, Yong RNY (1978) Seismic response of frozen ground. J Geotech Eng Div 104(10):1225–1241Google Scholar
  9. Forrest JA, Hunt HEM (2006) A three-dimensional tunnel model for calculation of train-induced ground vibration. J Sound Vib 294:678–705CrossRefGoogle Scholar
  10. Graham J, Au VCS (1985) Effects of freeze-thaw and softening on a natural clay at low stresses. Can Geotech J 22(1):69–78CrossRefGoogle Scholar
  11. Guan F, Moore ID (1994) Three-dimensional dynamic response of twin cavities due to travelling loads. J Eng Mech 120(3):637–651CrossRefGoogle Scholar
  12. Hussein MFM, Hunt HEM (2007) A numerical model for calculating vibration from a railway tunnel embedded in a full-space. J Sound Vib 305:401–431CrossRefGoogle Scholar
  13. Israil ASM, Ahmad S (1989) Dynamic vertical compliance of strip foundations in layered soils. Earthq Eng Struc Dyn 18(7):933–950CrossRefGoogle Scholar
  14. Jenkins HH, Stephenson JE, Clayton GA et al (1974) The effect of track and vehicle parameters on wheel/rail vertical dynamic forces. Railway Eng J 3(1):2–16Google Scholar
  15. Kaynia AM, Madshus C, Zackrisson P (2000) Ground vibration from high-speed trains: prediction and countermeasures. J Geotech Geoenviron Eng 126(6):531–537CrossRefGoogle Scholar
  16. Konrad JM (1989) Physical processes during freeze-thaw cycles in clayey silts. Cold Regions Sci Technol 16(3):291–303CrossRefGoogle Scholar
  17. Lieb M, Sudret B (1998) A fast algorithm for soil dynamics calculations by wavelet decomposition. Arch Applied Mech 68(3–4):147–157CrossRefGoogle Scholar
  18. Lu JF, Jeng DS, Lee TL (2007) Dynamic response of a piecewise circular tunnel embedded in a poroelastic medium. Soil Dyn Earthq Eng 27:875–891CrossRefGoogle Scholar
  19. Nejati HR, Ahmadi M, Hashemolhosseini H (2012) Numerical analysis of ground surface vibration induced by underground train movement. Tunn Undergr Space Technol 29:1–9CrossRefGoogle Scholar
  20. Pan CS, Pande GN (1984) Preliminary deterministic finite element study on a tunnel driven in loess subjected to train loading. J Civil Eng 17(4):18–28 (in Chinese with English abstract)Google Scholar
  21. Rieckh G, Kreuzer W, Waubke H et al (2012) A 2.5 D-Fourier-BEM model for vibrations in a tunnel running through layered anisotropic soil. Eng Analysis with. Boundary Elements 36(6):960–967CrossRefGoogle Scholar
  22. Sheng X, Jones CJC, Thompson DJ (2002) Ground vibration generated by a harmonic load moving in a circular tunnel in a layered ground. In: Proceedings of the 10th International meeting on low frequency noise and vibration and its control, pp 83–96Google Scholar
  23. Sheng X, Jones CJC, Thompson DJ (2006) Prediction of ground vibration from trains using the wavenumber finite and boundary element methods. J Sound Vib 293(3):575–586CrossRefGoogle Scholar
  24. Singh S, Donovan NC (1977) Seismic response of frozen-thawed soil systems. In: Proceedings of sixth world conference on earthquake engineering, Sarita Prakashan, Meerut, India, pp 2262–2226Google Scholar
  25. Tang YQ, Yang Q, Yu H (2014) Changes of the pore distribution of silty clay under the subway train loads. Environ Earth Sci. doi: 10.1007/s12665-014-3215-8
  26. Ting JM, Martin RT, Ladd CC (1983) Mechanisms of Strength for Frozen Sand. J Geotech Eng 109(10):1286–1302CrossRefGoogle Scholar
  27. Viklander P, Eigenbrod D (2000) Stone movements and permeability changes in till caused by freezing and thawing. Cold Regions Sci Technol 31(2):151–162CrossRefGoogle Scholar
  28. Vinson TS, Li JC (1980) Dynamic properties of frozen sand under simulated earthquake loading conditions. In: Proceedings of the seventh world conference on earthquake engineering. Istanbul, pp 225–240Google Scholar
  29. Vinson TS, Chaichanavong T, Czajkowski RL (1978) Behavior of frozen clays under cyclic axial loading. J Geotech Eng Div 104:779–780Google Scholar
  30. Wolf JP (1985) Dynamic soil-structure interaction. Englewood Cliffs, Prentice-Hall intGoogle Scholar
  31. Wolf JP (1988) Soil-structure interaction analysis in time domain. Prentice-Hall, Engle-wood Cliffs, NJGoogle Scholar
  32. Yan CL, Tang YQ, Liu YT (2013) Study on fractal dimensions of the silty soil around the tunnel under the subway loading in Shanghai. Environ Earth Sci 69:1529–1535CrossRefGoogle Scholar
  33. Yang P, Zhang T (2002) Research on the physical and mechanical properties of the artificial thawing soil. Glaciol 24(5):665–667 (in Chinese)Google Scholar
  34. Yang YB, Hung HH, Chang DW (2003) Train-induced wave propagation in layered soils using finite/infinite element simulation. Soil Dyn Earthq Eng 23(4):263–278CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.State Key Laboratory for Geomechanics and Deep Underground Engineering, School of Mechanics and Civil EngineeringChina University of Mining and TechnologyXuzhouPeople’s Republic of China

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