Deflections of Adjacent Underground Tunnel Induced by Excavation Based on Kerr Foundation Model

doi:10.16183/j.cnki.jsjtu.2021.067

Abstract

Abstract:

The soil unloading effect caused by the adjacent excavation will influence both the uplift and the deformation of the adjacent existing tunnel, and even interfere with the normal operation of the tunnel. A simplified calculation method for the longitudinal deformation of the underlying tunnel caused by foundation pit excavation is proposed. The tunnel is simplified into an infinitely long Euler-Bernoulli beam resting on a three-parameter Kerr foundation model. The difference method is combined with the boundary conditions at both ends of the tunnel to obtain the longitudinal deformation difference decomposition of the tunnel. The accuracy of the proposed method is proved by comparing it with the finite element simulation method and some cases study. Compared with the tunnel simplified as the Euler-Bernoulli beam which is placed upon the existing Pasternak foundation model, the Kerr foundation model has more advantages. As the elastic modulus of soil mass and the depth of tunnel axis increase, the longitudinal deflection and the inner force of the tunnel will decrease. The inner force of the tunnel will increase with the increment of the stiffness of the tunnel.

Key words: excavation, existing tunnel, Euler-Bernoulli beam, Kerr foundation model, finite different method

CLC Number:

TU753

FENG Guohui, XU Xing, HOU Shilei, FAN Rundong, YANG Kaifang, GUAN Lingxiao, XU Changjie. Deflections of Adjacent Underground Tunnel Induced by Excavation Based on Kerr Foundation Model[J]. Journal of Shanghai Jiao Tong University, 2022, 56(4): 474-485.

Figures/Tables 20

Fig.1

Fig.2

Fig.3

Fig.4

Fig.5

Fig.6

Fig.7

Fig.8

Fig.9

Fig.10

Fig.11

Fig.12

Fig.13

Fig.14

Fig.15

Fig.16

Fig.17

Fig.18

Fig.19

Fig.20

References 26

[1]	ZHANG X M, OU X F, YANG J S, et al. Deformation response of an existing tunnel to upper excavation of foundation pit and associated dewatering[J]. International Journal of Geomechanics, 2017, 17(4): 04016112. doi: 10.1061/(ASCE)GM.1943-5622.0000814 URL
[2]	陈仁朋, 孟凡衍, 李忠超, 等. 邻近深基坑地铁隧道过大位移及保护措施[J]. 浙江大学学报(工学版), 2016, 50(5): 856-863.
	CHEN Renpeng, MENG Fanyan, LI Zhongchao, et al. Considerable displacement and protective measures for metro tunnels adjacent deep excavation[J]. Journal of Zhejiang University (Engineering Science), 2016, 50(5): 856-863.
[3]	YONG T, YE L. Responses of shallowly buried pipelines to adjacent deep excavations in Shanghai soft ground[J]. Journal of Pipeline Systems Engineering and Practice, 2018, 9(2): 05018002. doi: 10.1061/(ASCE)PS.1949-1204.0000310 URL
[4]	ZHENG G, YANG X Y, ZHOU H Z, et al. A simplified prediction method for evaluating tunnel displacement induced by laterally adjacent excavations[J]. Computers and Geotechnics, 2018, 95: 119-128. doi: 10.1016/j.compgeo.2017.10.006 URL
[5]	ZHENG G, YANG X Y, ZHOU H Z, et al. Reply to the discussion on “A simplified prediction method for evaluating tunnel displacement induced by laterally adjacent excavations” by Far et al[J]. Computers and Geotechnics, 2019, 109: 297. doi: 10.1016/j.compgeo.2019.01.015 URL
[6]	黄宏伟, 黄栩, SCHWEIGER F H. 基坑开挖对下卧运营盾构隧道影响的数值模拟研究[J]. 土木工程学报, 2012, 45(3): 182-189.
	HUANG Hongwei, HUANG Xu, SCHWEIGER F H. Numerical analysis of the influence of deep excavation on underneath existing road tunnel[J]. China Civil Engineering Journal, 2012, 45(3): 182-189.
[7]	WEN X, PANG C R. Influence of foundation pit excavation on existing shield tunnel and its protection range[J]. Applied Mechanics and Materials, 2014,580- 583: 1258-1263.
[8]	ZHENG G, WEI S W. Numerical analyses of influence of overlying pit excavation on existing tunnels[J]. Journal of Central South University of Technology, 2008, 15(2): 69-75.
[9]	CHEN R P, MENG F Y, LI Z C, et al. Investigation of response of metro tunnels due to adjacent large excavation and protective measures in soft soils[J]. Tunnelling and Underground Space Technology, 2016, 58: 224-235. doi: 10.1016/j.tust.2016.06.002 URL
[10]	LI M G, CHEN J J, WANG J H, et al. Comparative study of construction methods for deep excavations above shield tunnels[J]. Tunnelling and Underground Space Technology, 2018, 71: 329-339. doi: 10.1016/j.tust.2017.09.014 URL
[11]	NG C W W, SUN H S, LEI G H, et al. Ability of three different soil constitutive models to predict a tunnel’s response to basement excavation[J]. Canadian Geotechnical Journal, 2015, 52(11): 1685-1698. doi: 10.1139/cgj-2014-0361 URL
[12]	NG C W W, SHI J W, MAŠÍN D, et al. Influence of sand density and retaining wall stiffness on three-dimensional responses of tunnel to basement excavation[J]. Canadian Geotechnical Journal, 2015, 52(11): 1811-1829. doi: 10.1139/cgj-2014-0150 URL
[13]	NG C W W, SHI J W, HONG Y. Three-dimensional centrifuge modelling of basement excavation effects on an existing tunnel in dry sand[J]. Canadian Geotechnical Journal, 2013, 50(8): 874-888. doi: 10.1139/cgj-2012-0423 URL
[14]	HUANG X, HUANG H W, ZHANG D M. Centrifuge modelling of deep excavation over existing tunnels[J]. Proceedings of the Institution of Civil Engineers-Geotechnical Engineering, 2014, 167(1): 3-18. doi: 10.1680/geng.11.00045 URL
[15]	ZHANG J F, CHEN J J, WANG J H, et al. Prediction of tunnel displacement induced by adjacent excavation in soft soil[J]. Tunnelling and Underground Space Technology, 2013, 36: 24-33. doi: 10.1016/j.tust.2013.01.011 URL
[16]	ZHANG Z G, HUANG M S, WANG W D. Evaluation of deformation response for adjacent tunnels due to soil unloading in excavation engineering[J]. Tunnelling and Underground Space Technology, 2013, 38: 244-253. doi: 10.1016/j.tust.2013.07.002 URL
[17]	LIANG R Z, WU W B, YU F, et al. Simplified method for evaluating shield tunnel deformation due to adjacent excavation[J]. Tunnelling and Underground Space Technology, 2018, 71: 94-105. doi: 10.1016/j.tust.2017.08.010 URL
[18]	康成, 叶超, 梁荣柱, 等. 基坑开挖诱发下卧盾构隧道纵向非线性变形研究[J]. 岩石力学与工程学报, 2020, 39(11): 2341-2350.
	KANG Cheng, YE Chao, LIANG Rongzhu, et al. Nonlinear longitudinal deformation of underlying shield tunnels induced by foundation excavation[J]. Chinese Journal of Rock Mechanics and Engineering, 2020, 39(11): 2341-2350.
[19]	ZHANG Z, ZHANG M, ZHAO Q. A simplified analysis for deformation behavior of buried pipelines considering disturbance effects of underground excavation in soft clays[J]. Arabian Journal of Geosciences, 2015, 8(10): 7771-7785. doi: 10.1007/s12517-014-1773-4 URL
[20]	梁荣柱, 林存刚, 夏唐代, 等. 考虑隧道剪切效应的基坑开挖对邻近隧道纵向变形分析[J]. 岩石力学与工程学报, 2017, 36(1): 223-233.
	LIANG Rongzhu, LIN Cungang, XIA Tangdai, et al. Analysis on the longitudinal deformation of tunnels due to pit excavation considering the tunnel shearing effect[J]. Chinese Journal of Rock Mechanics and Engineering, 2017, 36(1): 223-233.
[21]	LIANG R Z, XIA T D, HUANG M S, et al. Simplified analytical method for evaluating the effects of adjacent excavation on shield tunnel considering the shearing effect[J]. Computers and Geotechnics, 2017, 81: 167-187. doi: 10.1016/j.compgeo.2016.08.017 URL
[22]	应宏伟, 程康, 俞建霖, 等. 考虑地基变形连续的基坑开挖诱发邻近盾构隧道位移预测[J]. 浙江大学学报(工学版), 2021, 55(2): 318-329.
	YING Hongwei, CHENG Kang, YU Jianlin, et al. Prediction of shield tunnel displacement due to adjacent basement excavation considering continuous deformation of ground[J]. Journal of Zhejiang University (Engineering Science), 2021, 55(2): 318-329.
	张治国, 张孟喜, 王卫东. 基坑开挖对临近地铁隧道影响的两阶段分析方法[J]. 岩土力学, 2011, 32(7): 2085-2092.
	ZHANG Zhiguo, ZHANG Mengxi, WANG Weidong. Two-stage method for analyzing effects on adjacent metro tunnels due to foundation pit excavation[J]. Rock and Soil Mechanics, 2011, 32(7): 2085-2092.
[23]	徐日庆, 程康, 应宏伟, 等. 考虑埋深与剪切效应的基坑卸荷下卧隧道的形变响应[J]. 岩土力学, 2020, 41(Sup.1): 195-207.
	XU Riqing, CHENG Kang, YING Hongwei, et al. Deformation response of a tunnel under foundation pit unloading considering buried depth and shearing effect[J]. Rock and Soil Mechanics, 2020, 41(Sup.1): 195-207.
[24]	MORFIDIS K. Research and development of methods for the modeling of foundation structural elements and soil[D]. Thessaloniki: Aristotle University of Thessaloniki, 2003.
[25]	KLAR A, VORSTER T E B, SOGA K, et al. Soil-pipe interaction due to tunnelling: Comparison between Winkler and elastic continuum solutions[J]. Géotechnique, 2005, 55(6): 461-466. doi: 10.1680/geot.2005.55.6.461 URL
[26]	志波由纪夫, 川島一彦, 大日方尚己, 等. シールドトンネルの耐震解析に用いる長手方向覆工剛性の評価法[C]// 土木学会論文集. 日本: 土木学会論文編集委員会, 1988: 319-327.