隧道施工期扰动对运营期隧道-土体系统动力响应的影响分析

苏光北1,2,狄宏规1,2,周顺华1,2,郭慧吉2,3,张小会1,2

振动与冲击 ›› 2023, Vol. 42 ›› Issue (15) : 210-218.

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振动与冲击 ›› 2023, Vol. 42 ›› Issue (15) : 210-218.
论文

隧道施工期扰动对运营期隧道-土体系统动力响应的影响分析

  • 苏光北1,2,狄宏规1,2,周顺华1,2,郭慧吉2,3,张小会1,2
作者信息 +

Effects of disturbance during tunnel construction on dynamic response of tunnel-soil body system during tunnel construction period

  • SU Guangbei1,2, DI Honggui1,2, ZHOU Shunhua1,2, GUO Huiji2,3, ZHANG Xiaohui1,2
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文章历史 +

摘要

地铁盾构隧道施工会造成地基土体扰动,由此产生的土体刚度退化会影响地基土体的振动响应。为考虑近场施工扰动对后期隧道系统动力响应的影响,本文提出了一种静力有限元和2.5维动力有限元联合的求解方法。首先,基于饱和土的波动方程,推导了以土骨架位移 u 和孔隙水压力 p表示的 u-p 格式的饱和土2.5维有限元表达式,结合拉伸函数构建完美匹配层边界,建立 u-p 格式下饱和地基下的2.5维有限元-完美匹配层动力模型。其次,采用静力有限元模拟隧道施工,确定由于盾构隧道施工扰动引起的地基土体剪切刚度退化值。最后,将退化的土体剪切刚度代入2.5维动力模型,实现施工扰动对系统动力响应的影响分析。基于该方法,探讨不同地基土体和隧道形状时盾构隧道开挖施工对地表振动响应的影响。结果表明:隧道施工会增大地表土体的竖向振动位移,距离隧道越近,隧道施工引起的地表竖向位移增量越大,最大值出现在隧道中心线处。圆形和矩形隧道下的振动响应小于椭圆形隧道。

Abstract

Construction of subway tunnel will cause soil disturbance, and the resulting soil stiffness degradation impacts the future foundation soil vibration. Therefore, to consider the influence of construction disturbance on the dynamic response of tunnel systems, this paper develops a novel hybrid modeling approach, consisting of a static finite element and a 2.5D dynamic finite element. Firstly, based on the wave equation of saturated soil, the u-p (representing displacement of soil skeleton u and pore water pressure p) format saturated soil 2.5-dimensional finite element expression is derived. Combined with the stretch function to construct the perfectly matched layer (PML) boundary, the u-p format 2.5-dimensional finite element-perfect matching layer method of saturated soil is proposed. Secondly, finite element software is used to establish a tunnel construction model to determine the degraded value of the soil shear stiffness caused by the disturbance of the tunnel construction. Finally, the degraded soil shear stiffness is substituted into the 2.5-dimensional dynamic calculation model to realize the analysis of the influence of construction disturbance on the system dynamic response. Based on this calculation method, the influence of different foundation soils and tunnel shapes on the vibration response of the foundation surface is discussed. The results show that the tunnel construction will increase the vertical vibration displacement of the ground surface. The closer to the tunnel, the greater vertical displacement of the ground surface caused by the tunnel construction, and the maximum value appear at the centerline of the tunnel. The vibration response of circular and rectangular tunnels is weaker than that of elliptical tunnels.

关键词

隧道施工 / 土体刚度退化 / 饱和土 / 完美匹配层 / 环境振动

Key words

Tunnel construction / Soil stiffness degradation / saturated soil / perfectly matched layer / environmental vibration

引用本文

导出引用
苏光北1,2,狄宏规1,2,周顺华1,2,郭慧吉2,3,张小会1,2. 隧道施工期扰动对运营期隧道-土体系统动力响应的影响分析[J]. 振动与冲击, 2023, 42(15): 210-218
SU Guangbei1,2, DI Honggui1,2, ZHOU Shunhua1,2, GUO Huiji2,3, ZHANG Xiaohui1,2. Effects of disturbance during tunnel construction on dynamic response of tunnel-soil body system during tunnel construction period[J]. Journal of Vibration and Shock, 2023, 42(15): 210-218

参考文献

[1] 马蒙,刘维宁,刘卫丰.列车引起环境振动预测方法与不确定性研究进展[J].交通运输工程学报,2020,20(03):1-16.
(MA Meng, LIU Weining ,LIU Weifeng. Research progresses of prediction method and uncertainty of train-induced environmental vibration [J]. Journal of Traffic and Transportation Engineering,2020,20(03):1-16.)
[2] 储益萍.地铁引起的结构振动与噪声及其相关性分析[J].噪声与振动控制,2011,31(04):85-88.
(CHU Yiping . Measurement and Correlation Analysis of Ground-borne Vibration and Noise Induced by Underground Railway [J] Noise and Vibration Control, 2011,31(04):85-88.)
[3] Chua K H, Lo K W, Balendra T. Building response due to subway train traffic [J]. Journal of Geotechnical Engineering, Proceedings of the ASCE 1995, 121 (11): 747–754.
[4] Gardien W, Stuit H G. Modelling of soil vibrations from railway tunnels [J]. Journal of Sound and Vibration, 2003, 267: 605-619.
[5] 宫全美,徐勇,周顺华. 地铁运行荷载引起的隧道地基土动力响应分析[J]. 中国铁道科学, 2005, 26(5): 47-50.
(GONG Quanmei, XU Yong, ZHOU Shunhua. Dynamic response analysis of tunnel foundation by vehicle vibration in metro. China Railway Science, 2005, 26(4): 47-51.)
[6] 刘维宁, 夏禾, 郭文军. 地铁列车振动的环境响应[J]. 岩石力学与工程学报, 1996, 15(S1): 586-593.
(LIU Weining, XIA He, GUO Wenjun. Study of vibration effects of underground trains on surrounding environments. Chinese Journal of Rock Mechanics and Engineering,1996, 15(S1): 586-593.)
[7] 杨新文,翟婉明. 车轮扁疤激起的轮轨冲击噪声机理分析[J].振动与冲击, 2009, 28(8): 46-49..
(YANG Xin-wen, ZHAI Wan-ming. WHEEL/RAIL IMPACT NOISE DUE TO EXCITATION BY RAILWAY WHEEL FLATS . Journal of Vibration and Shock, 2009, 28(8): 46-49..)
[8] 马蒙,刘维宁,丁德云,Degrande G,刘卫丰.地铁列车振动对精密仪器影响的预测研究[J].振动与冲击,2011,30(03):185-190.
(MA Meng, LIU Wei-ning, DING De-yun, Degrande G, LIU Wei-feng. Prediction of the Influence of Metro Trains Induced Vibrations on Sensitive Instruments. Journal of Vibration and Shock, 2011, 30(3): 185-190.)
[9] 谢伟平, 孙洪刚. 地铁运行时引起的土的波动分析. 岩石力学与工程学报, 2003, 22(7): 1180-1184.
(XIE Weiping, SUN Honggang. FEM analysis on wave propagation in soils induced by high speed train loads, Chinese Journal of Rock Mechanics and Engineering, 2003, 22(7): 1180-1184.)
[10] Bian XC, Jin WF, Jiang HG. Ground-borne vibrations due to dynamic loading from moving trains in subway tunnels. Journal of Zhejiang University—Science A: Applied Physics and Engineering, 2012, 13(11): 870-876.
[11] 高广运, 何俊峰, 杨成斌, 等. 2.5 维有限元分析饱和土地基列车运行引起的地面振动[J]. 岩土工程学报, 2011, 33(2): 234–241.
(GAO Guangyun, HE Junfeng, YANG Chengbin. Ground vibration induced by trains moving on saturated ground using 2.5D FEM. Chinese Journal of Geotechnical Engineering, 2011, 33(2): 234–241.)
[12] 高广运,李宁,何俊锋,高盟.列车移动荷载作用下饱和地基的地面振动特性分析[J].振动与冲击,2011,30(06):86-92.
(GAO Guang-yun, Li Ning, HE jun-feng, GAO Meng . Analysis of ground vibration generated by train moving loads on saturated soil[J]. Journal of Vibration and Shock. 2011, 30(6): 86-92.)
[13] 袁宗浩, 蔡袁强, 曾 晨. 地铁列车荷载作用下轨道系统及饱和土体动力响应分析[J].岩石力学与工程学报, 2015, 34(7): 1470-1479.
(YUAN Zhonghao, CAI Yuanqiang, ZENG Chen. Dynamic response of track system and underground railway tunnel in saturated soil subjected to moving train loads.Chinese Journal of Rock Mechanics and Engineering, 2015, 34(7): 1470-1479.)
[14] Sheng X, Jones C, Thompson D. Prediction of ground vibration from trains using the wavenumber finite and boundary element methods. Journal of Sound and Vibration 293, 575–586 (2006).
[15] Francois S, Schevenels M, Degrande G, et al. A 2.5 D finite element-boundary element model for vibration isolating screens. In P. Sas& B. Bergen (Eds.), ISMA 2008: International Conferenceon Noise and Vibration.
[16] Francois S, Schevenels M, Galvı´n P, et al. A 2.5D coupled FE–BE methodology for the dynamic interaction between longitudinally invariant structures and a layered halfspace. Computer Methods in Applied Mechanics and Engineering, 2010, 199: 1536–1548.
[17] Degrande G, Clouteau D, Othman R, et al. A numerical model for ground-borne vibrations from underground railway traffic based on a periodic finite element-boundary element formulation[J]. Journal of Sound and Vibration 293(3-5), 645–666 (2006).
[18] Berenger Jean-Pierre. A perfectly matched layer for the absorption of electromagnetic waves[J]. Academic Press,1994,114(2).
[19] Ushnish Basu, Anil K. Chopra. Perfectly matched layers for time-harmonic elastodynamics of unbounded domains: theory and finite-element implementation[J]. Computer Methods in Applied Mechanics and Engineering,2003,192(11).
[20] Josifovski, Josif. Analysis of wave propagation and soil–structure interaction using a perfectly matched layer model[J]. Soil Dynamics and Earthquake Engineering, 2016, 81:1-13.
[21] 狄宏规,郭慧吉,周顺华,王炳龙,何超.非饱和土-结构动力响应的多耦合周期性有限元法[J].力学学报,2022,54(01):163-172.
Di Honggui, Guo Huiji, Zhou Shunhua, Wang Binglong, He Chao. Multi Coupling Periodic Finite Element Method for Calculating the Dynamic Response of Unsaturated Soil-Structure System. Chinese Journal of Theoretical and Applied Mechanics,2022,54(01):163-172.
[22] Mair R. Developments in geotechnical engineering research: application to tunnels and deep excavations. Proceedings of the institution of Civil engineers-civil engineering. Thomas Telford-ICE Virtual Library; 1993. p. 27–41.
[23] Jesús Fernández Ruiz,Paulo Jorge Soares,Pedro Alves Costa,David P. Connolly. The effect of tunnel construction on future underground railway vibrations[J]. Soil Dynamics and Earthquake Engineering,2019,125:
[24] Manthos Papadopoulos, Stijn François, Geert Degrande, Geert Lombaert. The influence of uncertain local subsoil conditions on the response of buildings to ground vibration[J]. Journal of Sound and Vibration,2018,418.
[25] Shunhua Zhou, Chao He , Honggui Di. Dynamic 2.5-D green's function for a poroelastic half-space[J]. Engineering Analysis with Boundary Elements,2016,67:96-107.
[26] Manthos Papadopoulos, Stijn François, Geert Degrande, Geert Lombaert. The influence of uncertain local subsoil conditions on the response of buildings to ground vibration[J]. Journal of Sound and Vibration,2018,418.
[27] 狄宏规,周顺华,何超,肖军华,罗喆.饱和地基地铁盾构隧道车致动应力响应特征[J].铁道学报,2018,40(08):160-167.
(DI Honggui, ZHOU Shunhua, HE Chao, XIAO Junhua, LUO Zhe. Response of dynamic stress in saturated soil induced by moving metro train in shield tunnel[J]. Journal of The China Railway Society, 2018,40(08):160-167.)
[28] Duncan JM, Chang C-Y. Nonlinear analysis of stress and strain in soils. Journal of Soil Mechanics & Foundations Div,1970;96(5):1629–53.
[29] Schanz T, Vermeer P, Bonnier P. The hardening soil model: formulation and verification. Beyond. Comput. Geotech. 1999:281–96.
[30] Benz T. Small-Strain Stiffness of Soils and its Numerical Consequences, Mitteilungdes Instituts für Geotechnik der Universität Stuttgart. Universität Stuttgart: Pfaffenwaldring: Institut für Geotechnik.; 2006. p. 209.
[31] 王卫东,王浩然,徐中华.上海地区基坑开挖数值分析中土体HS-Small模型参数的研究[J].岩土力学,2013,34(06):1766-1774.
(WANG Weidong, WANG Haoran, XU Zhonghua. Study of parameters of HS-Small model used in numerical analysis of excavations in Shanghai area. Rock and Soil Mechanics, 2013,34(06):1766-1774. )
[32] 刘玉霞. 阻尼环车轮振动声辐射特性试验研究[D].西南交通大学,2016.

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