Three-Dimensional Numerical Modeling of Ground Deformation during Shield Tunneling Considering Principal Stress Rotation
Publication: International Journal of Geomechanics
Volume 21, Issue 7
Abstract
In the process of tunnel excavation, the change of soil stress field will inevitably lead to principal stress axis rotation, which is a common but easily ignored phenomenon in shield tunneling. Therefore, it is necessary to consider the effect of principal stress rotation in the process of shield tunneling. In this paper, the stress field variation and ground surface deformation of cohesive soil are investigated by a numerical method via the strength parameter variation. A UMAT (user material) subroutine is programmed and embedding into the finite-element software to realize the strength parameter variation that is caused by the principal stress direction rotation during the whole tunneling process. The ground deformation considering the variation of the principal stress direction is compared with that when the variation of the principal stress direction is not considered. The simulation results show that the principal stress direction of the soil changes significantly during the tunnel excavation, and the principal stress direction of the soil within 1.5D (D = tunnel diameter) away from the tunnel axis and all the soil above the tunnel changes obviously. In addition, during the excavation, the rotation angle of the principal stress for each point in the soil gradually increases; in the direction perpendicular to the tunnel axis, the rotation angle of the principal stress increases first and then decreases from the tunnel axis to the edge of the model; when the direction of the principal stress changes, the strength parameters of the soil are modified, the ground deformation of which is larger than that before correction.
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Acknowledgments
The work present in this paper was supported by the National Key Research and Development Program of China (2019YFC1510803-2); National Natural Science Foundation of China (Grant Nos. 51639002, 51809034, and 51708310); Key Projects of High Schools of Henan province (20A560021); China Postdoctoral Science Foundation (2019M662533), Open Research Fund of State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences (Grant No. Z017012). This financial support is gratefully acknowledged.
References
Al, Y. Y. E. 2017. “Marine geographic and geological environment of China.” In Marine geo hazards in China, 35–75. Beijing: China Ocean Press. https://doi.org/10.1016/B978-0-12-812726-1.00002-4.
Bian, X., Z.-S. Hong, and J.-W. Ding. 2016. “Evaluating the effect of soil structure on the ground response during shield tunnelling in Shanghai soft clay.” Tunnelling Underground Space Technol. 58: 120–132. https://doi.org/10.1016/j.tust.2016.05.003.
Cui, Y., and M. Kimura. 2010. “Model test and numerical analysis methods in tunnel excavation problem.” Soils Found. 50 (6): 915–923. https://doi.org/10.3208/sandf.50.915.
Demagh, R., F. Emeriault, and F. Hammoud. 2014. “Shield tunnelling 3D numerical simulation on three case studies.” Malaysian J. Civ. Eng. 26 (1): 19–34.
Do, N.-A., D. Dias, P. Oreste, and I. Djeran-Maigre. 2014. “Three-dimensional numerical simulation of a mechanized twin tunnels in soft ground.” Tunnelling Underground Space Technol. 42: 40–51. https://doi.org/10.1016/j.tust.2014.02.001.
Eberhardt, E. 2001. “Numerical modelling of three-dimension stress rotation ahead of an advancing tunnel face.” Int. J. Rock Mech. Min. Sci. 38 (4): 499–518. https://doi.org/10.1016/S1365-1609(01)00017-X.
Jin, L. U. 2007. “3d finite-element simulation on tunnel construction with shield in soft soil.” [In Chinese.] J. Hydraul. Eng. S1: 706–710.
Kavvadas, M., D. Litsas, I. Vazaios, and P. Fortsakis. 2017. “Development of a 3D finite-element model for shield EPB tunnelling.” Tunnelling Underground Space Technol. 65: 22–34. https://doi.org/10.1016/j.tust.2017.02.001.
Kishida, K., Y. Cui, M. Nonomura, T. Iura, and M. Kimura. 2016. “Discussion on the mechanism of ground improvement method at the excavation of shallow overburden tunnel in difficult ground.” Underground Space 1 (2): 94–107. https://doi.org/10.1016/j.undsp.2016.11.003.
Kumruzzaman, M., and J.-H. Yin. 2010. “Influences of principal stress direction and intermediate principal stress on the stress–strain-strength behaviour of completely decomposed granite.” Can. Geotech. J. 47 (47): 164–179. https://doi.org/10.1139/T09-079.
Lade, P. V., and M. M. Kirkgard. 2000. “Effects of stress rotation and changes of b-values on cross-anisotropic behavior of natural, k0-consolidated soft clay.” Soils Found. 40 (6): 93–105. https://doi.org/10.3208/sandf.40.6_93.
Lin, H., and D. Penumadu. 2005. “Experimental investigation on principal stress rotation in Kaolin clay.” J. Geotech. Geoenviron. Eng. 131 (5): 633–642. https://doi.org/10.1061/(ASCE)1090-0241(2005)131:5(633).
Lin, X.-T., R.-P. Chen, H.-N. Wu, and H.-Z. Cheng. 2019. “Three-dimensional stress-transfer mechanism and soil arching evolution induced by shield tunneling in sandy ground.” Tunnelling Underground Space Technol. 93: 103104. https://doi.org/10.1016/j.tust.2019.103104.
Lu, N., Y. Yang, H. S. Yu, and Z. Wang. 2020. “Modelling the simple shear behaviour of clay considering principal stress rotation.” Mech. Res. Commun. 103: 103474. https://doi.org/10.1016/j.mechrescom.2020.103474.
Nagel, F., J. Stascheit, and G. Meschke. 2008. “A numerical simulation model for shield tunnelling with compressed air support.” Geomechanik Und Tunnelbau 1 (3): 222–228. https://doi.org/10.1002/geot.200800016.
Prashant, A., and D. Penumadu. 2005. “A laboratory study of normally consolidated kaolin clay.” Can. Geotech. J. 42 (1): 27–37. https://doi.org/10.1139/t04-076.
Shen, Y., J. Zhou, X. Gong, and H. Liu. 2008. “Study on strength criterion of intact soft clay after monotonic principal stress rotation.” In Geotechnical engineering for disaster mitigation and rehabilitation, edited by H. Liu, A. Deng, and J. Chu, 892–898. Berlin: Springer.
Shen, Y., J. Zhou, J. Zhang, and X. Gong. 2007. “Research on strength and pore pressure of intact clay considering variation of principal stress direction.” [In Chinese.] Chin. J. Geotech. Eng. 29 (6): 843–847. https://doi.org/10.1016/S1874-8651(08)60042-3.
Soomro, M. A., N. Mangi, H. Xiong, M. Kumar, and D. A. Mangnejo. 2020. “Centrifuge and numerical modelling of stress transfer mechanisms and settlement of pile group due to twin stacked tunnelling with different construction sequences.” Comput. Geotech. 121: 103449. https://doi.org/10.1016/j.compgeo.2020.103449.
Sun, H. X., H. Y. Wu, and S. L. Chen. 2011. “Numerical simulation on the surface subsidence effect during shield tunneling construction.” Adv. Mater. Res. 299–300: 110–113. https://doi.org/10.4028/www.scientific.net/AMR.299-300.110.
Wang, D. J., H. M. Tang, C. D. Li, C. Li, and C.-Y. Linet al. 2016. “Theoretical study on earth pressure on shallow tunnel considering principal stress rotation.” [In Chinese.] Chin. J. Geotech. Eng. 38 (5): 804–810. https://doi.org/10.11779/CJGE201605005.
Wang, J., D. Feng, L. Guo, H. Fu, Y. Cai, T. Wu, and L. Shi. 2019a. “Anisotropic and noncoaxial behavior of K0-consolidated soft clays under stress paths with principal stress rotation.” J. Geotech. Geoenviron. Eng. 145 (9): 04019036. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002103.
Wang, L., X. Yang, G. Gong, and J. Du. 2018b. “Pose and trajectory control of shield tunneling machine in complicated stratum.” Autom. Constr. 93: 192–199. https://doi.org/10.1016/j.autcon.2018.05.020.
Wang, Y., Y. Gao, L. Guo, Y. Cai, B. Li, Y. Qiu, and A. H. Mahfouz. 2017. “Cyclic response of natural soft marine clay under principal stress rotation as induced by wave loads.” Ocean Eng. 129: 191–202. https://doi.org/10.1016/j.oceaneng.2016.11.031.
Wang, Y., Y. Gao, L. Guo, and Z. Yang. 2018a. “Influence of intermediate principal stress and principal stress direction on drained behavior of natural soft clay.” Int. J. Geomech. 18 (1): 04017128. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001042.
Wang, Y., Y. Gao, B. Li, L. Guo, Y. Cai, and A. H. Mahfouz. 2019b. “Influence of initial state and intermediate principal stress on undrained behavior of soft clay during pure principal stress rotation.” Acta Geotech. 14 (5): 1379–1401. https://doi.org/10.1007/s11440-018-0735-5.
Wrzesiński, G., and Z. Lechowicz. 2015. “Testing of undrained shear strength in a hollow cylinder apparatus.” Stud. Geotechn. Mech. 37: 69–73. https://doi.org/10.1515/sgem-2015-0023.
Yang, S.-Q., M. Chen, G. Fang, Y.-C. Wang, B. Meng, Y.-H. Li, and H.-W. Jing. 2018. “Physical experiment and numerical modelling of tunnel excavation in slanted upper-soft and lower-hard strata.” Tunnelling Underground Space Technol. 82: 248–264. https://doi.org/10.1016/j.tust.2018.08.049.
Ying, H., J. Zhang, J. Zhou, W. Sun, and J. Yan. 2016. “Limit equilibrium analysis on stability against basal heave of excavation in anisotropy soft clay.” [In Chinese.] Rock Soil Mech. 37 (5): 1237–1242. https://doi.org/10.6052/j.issn.1000-4750.2015.01.0086.
Yuan, H., Y. He, J. Zhou, Y. Li, X. Cui, and Z. Shen. 2020. “Research on compactness ratio model of urban underground space and compact development mechanism of rail transit station affected area.” Sustainable Cities Soc. 55: 102043. https://doi.org/10.1016/j.scs.2020.102043.
Zhang, F., Y. Gao, Y. Wu, and Z. Wang. 2018a. “Face stability analysis of large-diameter slurry shield-driven tunnels with linearly increasing undrained strength.” Tunnelling Underground Space Technol. 78: 178–187. https://doi.org/10.1016/j.tust.2018.04.018.
Zhang, F., Y. F. Gao, Y. X. Wu, and N. Zhang. 2018a. “Upper-bound solutions for face stability of circular tunnels in undrained clays.” Géotechnique 68 (1): 76–85. https://doi.org/10.1680/jgeot.16.T.028.
Zhang, M., S. Li, and P. Li. 2020a. “Numerical analysis of ground displacement and segmental stress and influence of yaw excavation loadings for a curved shield tunnel.” Comput. Geotech. 118: 103325. https://doi.org/10.1016/j.compgeo.2019.103325.
Zhang, M. S., H. Q. Wang, Y. Dong, L. Li, P. P. Sun, and G. Zhang. 2020b. “Evaluation of urban underground space resources using a negative list method: taking Xi'an city as an example in China.” China Geol. 3 (1): 124–136. https://doi.org/10.31035/cg2020006.
Zhang, Z. X., H. Zhang, and J. Y. Yan. 2013. “A case study on the behavior of shield tunneling in sandy cobble ground.” Environ. Earth Sci. 69 (6): 1891–1900. https://doi.org/10.1007/s12665-012-2021-4.
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International Journal of Geomechanics
Volume 21 • Issue 7 • July 2021
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© 2021 American Society of Civil Engineers.
History
Received: Nov 6, 2020
Accepted: Jan 25, 2021
Published online: Apr 21, 2021
Published in print: Jul 1, 2021
Discussion open until: Sep 21, 2021
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