Technical Papers
Nov 5, 2019

Modeling of Vehicle-Track-Tunnel-Soil System Considering the Dynamic Interaction between Twin Tunnels in a Poroelastic Half-Space

Publication: International Journal of Geomechanics
Volume 20, Issue 1

Abstract

The vibration prediction of a vehicle-track-tunnel-soil dynamic system is quite meaningful in engineering practice. However, the complexity involved in modeling the underground environment makes most previous studies ignore the impact of a neighboring tunnel. In this paper, a three-dimensional analytical model is presented to predict the vibrations of the vehicle-track-tunnel-soil system in a poroelastic half-space, with the dynamic interaction of two neighboring tunnels being considered. The vehicle was considered as a multibody system, and the slab and rail were simulated as Euler–Bernoulli beams. The twin tunnels were simplified as cylindrical thin shells, and the soil surrounding the tunnel was simulated as a saturated porous medium. Wave translation and transformation were applied to satisfy the boundary conditions of the interfaces between the tunnels and soil as well as the ground surface. By coupling the twin-tunnel model with the vehicle-track model, an analytical model for the vehicle-track-tunnel-soil system was obtained. The proposed model was validated by means of comparison with the existing solution. The numerical results demonstrate that the neighboring tunnel and water saturation have a significant effect on soil vibrations.

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Data Availability Statement

Some or all data, models, or code generated or used during the study are available from the corresponding author by request.

Acknowledgments

This project is supported by Projects of International Cooperation and Exchanges NSFC under Grant No. 51761135109 and the National Natural Science Foundation of China under Grant No. 51808405.

References

Addenbrooke, T., and D. Potts. 2001. “Twin tunnel interaction: Surface and subsurface effects.” Int. J. Geomech. 2 (249): 249–271. https://doi.org/10.1061/(ASCE)1532-3641(2001)1:2(249).
Amado-Mendes, P., P. A. Costa, L. M. C. Godinho, and P. Lopes. 2015. “2.5D MFS–FEM model for the prediction of vibrations due to underground railway traffic.” J. Eng. Struct. 104: 141–154. https://doi.org/10.1016/j.engstruct.2015.09.013.
Banerjee, S. K., and D. Chakraborty. 2018. “Behavior of twin tunnels under different physical conditions.” Int. J. Geomech. 18 (8): 06018018. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001216.
Bian, X. C., W. F. Jin, and H. G. Jiang. 2012. “Ground-borne vibrations due to dynamic loadings from moving trains in subway tunnels.” J. Zhejiang Univ. Sci. A 13 (11): 870–876. https://doi.org/10.1631/jzus.A12ISGT5.
Biot, M. A. 1956. “Theory of propagation of elastic waves in a fluid-saturated porous solid, I, low frequency range.” J. Acoust. Soc. Am. 28 (2): 168–178. https://doi.org/10.1121/1.1908239.
Biot, M. A. 1962. “Mechanics of deformation and acoustic propagation in porous media.” J. Appl. Phys. 33 (4): 1482–1498. https://doi.org/10.1063/1.1728759.
Bose, S. K., and A. K. Mal. 1973. “Longitudinal shear waves in a fiber-reinforced composite.” Int. J. Solids Struct. 9 (9): 1075–1085. https://doi.org/10.1016/0020-7683(73)90016-4.
Boström, A., G. Kristensson, and S. Ström. 1991. “Transformation properties of plane, spherical and cylindrical scalar and vector wave functions.” In Field representations and introduction to scattering, edited by V. V. Varadan, A. Lakhtakia, and V. K. Varadan, 165–210. Amsterdam, Netherlands: Elsevier.
Broere, W. 2016. “Urban underground space: Solving the problems of today’s cities.” Tunnelling Underground Space Technol. 55: 245–248. https://doi.org/10.1016/j.tust.2015.11.012.
Clouteau, D., M. Arnst, T. M. Al-Hussaini, and G. Degrande. 2005. “Freefield vibrations due to dynamic loading on a tunnel embedded in a stratified medium.” J. Sound Vib. 283 (1–2): 173–199. https://doi.org/10.1016/j.jsv.2004.04.010.
Di, H. G., S. H. Zhou, C. He, X. H. Zhang, and Z. Luo. 2016. “Three-dimensional multilayer cylindrical tunnel model for calculating train-induced dynamic stress in saturated soils.” Comput. Geotech. 80: 333–345. https://doi.org/10.1016/j.compgeo.2016.08.005.
Do, N. A., D. Dias, P. Oreste, and I. D. Djeran-Maigre. 2014. “Three dimensional numerical simulation of a mechanized twin tunnels in soft ground.” Tunnelling Underground Space Technol 40: 42–51. https://doi.org/10.1016/j.tust.2014.02.001.
Forrest, J. A., and H. E. M. Hunt. 2006a. “A three-dimensional tunnel model for calculation of train-induced ground vibration.” J. Sound Vib. 294 (4–5): 678–705. https://doi.org/10.1016/j.jsv.2005.12.032.
Forrest, J. A., and H. E. M. Hunt. 2006b. “Ground vibration generated by trains in underground tunnels.” J. Sound Vib. 294 (4–5): 706–736. https://doi.org/10.1016/j.jsv.2005.12.031.
François, S., M. Schevenels, P. Galvín, G Lombaert, and G. Degrande. 2010. “A 2.5D coupled FE–BE methodology for the dynamic interaction between longitudinally invariant structures and a layered halfspace.” Comput. Methods Appl. Mech. Eng. 199 (23–24): 1536–1548. https://doi.org/10.1016/j.cma.2010.01.001.
Hamad, W. I., H. E. M. Hunt, J. P. Talbot, M. F. M. Hussein, and D. J. Thompson. 2015. “The dynamic interaction of twin tunnels embedded in a homogeneous half-space.” In Proc., 5th ECCOMAS Thematic Conf. on Computational Methods in Structural Dynamics and Earthquake Engineering. Southampton, England: University of Southampton.
He, C., S. H. Zhou, H. G. Di, P. J. Guo, and J. H. Xiao. 2018a. “Analytical method for calculation of ground vibration from a tunnel embedded in a multi-layered half-space.” Comput. Geotech. 99: 149–164. https://doi.org/10.1016/j.compgeo.2018.03.009.
He, C., S. H. Zhou, H. G. Di, and Y. Shan. 2017. “A 2.5-D coupled FE–BE model for the dynamic interaction between saturated soil and longitudinally invariant structures.” Comput. Geotech. 82: 211–222. https://doi.org/10.1016/j.compgeo.2016.10.005.
He, C., S. H. Zhou, P. J. Guo, H. G. Di, and X. H. Zhang. 2018b. “Analytical model for vibration prediction of two parallel tunnels in a full-space.” J. Sound Vib. 423: 306–321. https://doi.org/10.1016/j.jsv.2018.02.050.
He, C., S. H. Zhou, P. J. Guo, and Q. M. Gong. 2019. “Three-dimensional analytical model for the dynamic interaction of twin tunnels in a homogeneous half-space.” Acta Mech 230 (3): 1159–1179. https://doi.org/10.1007/s00707-018-2330-0.
Jin, Q. Y., D. J. Thompson, D. E. J. Lurcock, M. G. R. Toward, and E. Ntotsios. 2018. “A 2.5D finite element and boundary element model for the ground vibration from trains in tunnels and validation using measurement data.” J. Sound Vib. 422: 373–389. https://doi.org/10.1016/j.jsv.2018.02.019.
Kuo, K. A., M. F. M. Hussein, and H. E. M. Hunt. 2011. “The effect of a twin tunnel on the propagation of ground-borne vibration from an underground railway.” J. Sound Vib. 330 (25): 6203–6222. https://doi.org/10.1016/j.jsv.2011.07.035.
Leissa, A. 1973. Vibration of shells. New York: Acoustical Society of America.
Lin, S. Y., H. H. Hung, J. P. Yang, and Y. B. Yang. 2017. “Seismic analysis of twin tunnels by a finite/infinite element approach” Int. J. Geomech. 17 (9): 04017060. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000940.
Liu, Z., G. Cui, and X Wang. 2014. “Vibration characteristics of a tunnel structure based on soil-structure interaction.” Int. J. Geomech. 14 (4): 04014018. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000357.
Lu, J., D. Jeng, and S. Williams. 2008. “A 2.5-D dynamic model for a saturated porous medium. Part I: Green’s function.” Int. J. Solids Struct. 45: 378–391. https://doi.org/10.1016/j.ijsolstr.2007.07.025.
Sheng, X., C. J. C. Jones, and D. J. Thompson. 2004. “A theoretical model for ground vibration from trains generated by vertical track irregularities.” J. Sound Vib. 272 (3): 937–965. https://doi.org/10.1016/S0022-460X(03)00782-X.
Sheng, X., C. J. C. Jones, and D. J. Thompson. 2005. “Modelling ground vibrations from railways using wavenumber finite- and boundary-element methods.” Proc. R. Soc. 461 (2059): 2043–2070. https://doi.org/10.1098/rspa.2005.1450.
Sheng, X., C. J. C. Jones, and D. J. Thompson. 2006. “Prediction of ground vibration from trains using the wavenumber finite and boundary element methods.” J. Sound Vib. 293 (3–5): 575–586. https://doi.org/10.1016/j.jsv.2005.08.040.
Sneddon, I. 1951. Fourier transforms. New York: McGraw-Hill.
Suárez, B., P. Rodríguez, M. Vázquez, and I. Fernández. 2012. “Safety assessment of underground vehicles passing over highly resilient curved tracks in the presence of a broken rail.” Veh. Syst. Dyn. 50 (1): 59–78. https://doi.org/10.1080/00423114.2011.563859.
Varadan, V. K., V. V. Varadan, and Y. H. Pao. 1978. “Multiple scattering of elastic waves by cylinders of arbitrary cross section. I. SH waves.” J. Acoust. Soc. Am. 63 (5): 1310–1319. https://doi.org/10.1121/1.381883.
Wei, K., P. Wang, F. Yang, and J. H. Xiao. 2015. “Influence of frequency-dependent dynamic parameters of rail pads on environmental vibration induced by subways in a tunnel.” Transport Res. Rec. 2476 (1): 8–14. https://doi.org/10.3141/2476-02.
Wei, K., P. Zhang, and P. Wang. 2016. “The influence of amplitude-and frequency-dependent stiffness of rail pads on the random vibration of a vehicle-track coupled system.” Shock Vib. 2016 (5): 1–10. https://doi.org/10.1155/2016/7674124.
Yang, Y. B., and H. H. Hung. 2008. “Soil vibrations caused by underground moving trains.” J. Geotech. Geoenviron. Eng. 134 (11): 1633–1644. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:11(1633).
Yaseri, A., M. H. Bazyar, and N. Hataf. 2014. “3D coupled scaled boundary finite-element/finite-element analysis of ground vibrations induced by underground train movement.” Comput. Geotech. 60 (1): 1–8. https://doi.org/10.1016/j.compgeo.2014.03.013.
Yuan, Z. H., A. Boström, Y. Q. Cai, and Z. G. Cao. 2017. “Closed-form analytical solution for vibrations from a tunnel embedded in a saturated poroelastic half-space.” J. Eng. Mech. 143 (9): 04017079. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001302.
Zhou, S. H., C. He, and H. G. Di. 2016. “Dynamic 2.5-D Green’s function for a poroelastic half-space.” Eng. Anal. Boundary Elem. 67: 96–107. https://doi.org/10.1016/j.enganabound.2016.03.011.
Zhou, S. H., C. He, H. G. Di, P. J. Guo, and X. H. Zhang. 2017. “An efficient method for predicting train-induced vibrations from a tunnel in a poroelastic half-space.” Eng. Anal. Boundary Elem. 85: 43–56. https://doi.org/10.1016/j.enganabound.2017.09.013.
Zhou, S. H., X. H. Zhang, H. G. Di, and C. He. 2018. “Metro train-track-tunnel-soil vertical dynamic interactions–semi-analytical approach.” Veh. Syst. Dyn. 56 (12): 1945–1968. https://doi.org/10.1080/00423114.2018.1444182.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 20Issue 1January 2020

History

Received: Jan 4, 2019
Accepted: May 23, 2019
Published online: Nov 5, 2019
Published in print: Jan 1, 2020
Discussion open until: Apr 5, 2020

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Shunhua Zhou [email protected]
Professor, Shanghai Key Laboratory of Rail Infrastructure Durability and System Safety, Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji Univ., Shanghai 201804, China. Email: [email protected]
Postdoctoral Fellow, Dept. of Civil Engineering, McMaster Univ., Hamilton, ON, Canada L8S 4L7; Shanghai Key Laboratory of Rail Infrastructure Durability and System Safety, Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji Univ., Shanghai 201804, China (corresponding author). ORCID: https://orcid.org/0000-0003-1332-9967. Email: [email protected]
Professor, Dept. of Civil Engineering, McMaster Univ., Hamilton, ON, Canada L8S 4L7. Email: [email protected]
Assistant Professor, Shanghai Key Laboratory of Rail Infrastructure Durability and System Safety, Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji Univ., Shanghai 201804, China. Email: [email protected]
Xiaohui Zhang [email protected]
Assistant Professor, Shanghai Key Laboratory of Rail Infrastructure Durability and System Safety, Key Laboratory of Road and Traffic Engineering of the Ministry of Education, Tongji Univ., Shanghai 201804, China. Email: [email protected]

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