Analytical Study for Uncoordinated Deformation of Existing Pipeline and Soil Induced by Tunnel Undercrossing
-
摘要:
为分析隧道下穿既有管道施工时既有管道底部脱空对其挠曲响应的影响，提出隧道下穿施工诱发既有管道-土体非协调变形理论模型及其解析解. 首先，将既有管道视为无拉力Pasternak地基上的Euler梁，根据管道与底部土体的接触状态，建立下穿施工引起既有管道-土体非协调变形控制方程，并推导出既有管道挠曲计算式；然后，采用提出的理论方法，探讨了既有管道脱空区上部竖向土压力、抗弯刚度及其所处位置地层沉降槽宽度和最大值等参数对其底部脱空区长度的影响；最后，提出下穿施工引起既有管道底部脱空区长度的参数归一化经验计算式，进一步简化新建隧道下穿施工引起既有管道挠曲的计算方法. 研究结果表明：既有管道底部脱空区长度与2个归一化参数（既有管道抗弯刚度与地基刚度比、既有管道脱空区上部竖向土压力与地层自由沉降槽最大值比）呈较好的相关性，其拟合公式计算值与理论数据的相关系数接近于1.
-
关键词:
- 管道-土体非协调变形 /
- 脱空区长度 /
- Pasternak地基 /
- 隧道下穿 /
- 隧道挠曲轨面变形
Abstract:To analyze the effect of a void under the existing pipeline on its deflection response during tunnel undercrossing construction, a theoretical model and an analytical solution of the uncoordinated deformation of the existing pipeline and soil induced by tunnel undercrossing construction were presented. Firstly, the existing pipeline was regarded as an Euler beam on a tensionless Pasternak foundation. According to the contacting condition of the pipeline and soil, the equations for the uncoordinated deformation control of the pipeline and soil caused by the tunnel undercrossing construction were established, and the corresponding formulas for the pipeline deflection were derived. Secondly, the influence of the parameters on the length of the void under the existing pipeline was discussed by using the proposed theoretical method, including the vertical soil pressure acting above the void, the flexural stiffness, and the width and maximum value of the formation settlement trough at the position where the existing pipeline located. Finally, a normalized empirical formula was proposed for calculating the length of the void under the existing pipeline induced by tunnel undercrossing construction, further simplifying the calculation method of existing pipeline deflection induced by the undercrossing construction of new tunnels. The research results show that the length of the void under the existing pipeline has a good correlation with the two normalized parameters (the ratio of the stiffness of the existing pipeline to the foundation, as well as the ratio of the vertical soil pressure acting above the void of the existing pipeline to the maximum value of the formation settlement trough), and the correlation coefficient between the calculated value of the fitting formula and the theoretical data is close to 1.
-
图 5 理论计算结果与模型试验数据对比
Figure 5. Comparison of theoretical calculation results and model test data
图 7 地层沉降槽宽度系数对其底部脱空区长度的影响
Figure 7. Influence of width coefficient of formation settlement trough on length of void under existing pipeline
图 8 既有管道底部脱空区长度与其地基沉降最大值的关系
Figure 8. Relationship between length of void under existing pipeline and maximum value of formation settlement
图 9 既有管道抗弯刚度对既有管道底部脱空区长度的影响
Figure 9. Influence of bending stiffness of existing pipeline on length of void
图 10 既有管道底部脱空区长度与各参数关系
Figure 10. Relationship between length of void under existing pipeline and parameters
图 12 计算结果与工程实测数据对比
Figure 12. Comparison of calculated results and measured engineering data
表 1 既有管道试验参数
Table 1. Test parameters of existing pipeline
参数 Dp/mm tp/mm zp/mm E/GPa I/m4 EI/（kN·m2） 数值 31.75 2.08 95.875 69 2.1439 1.4793 
下载: 导出CSV
表 2 新建隧道试验参数
Table 2. Test parameters of new tunnel
参数 Rt/mm zt/mm Vt/% $\kappa $ 数值 50 154.1 3.76 0.558
下载: 导出CSV
表 3 标准砂试验参数
Table 3. Test parameters of standard sand
参数 Es/MPa $ {\nu _{\rm{s}}} $ k/（MN·m−2） G/（MN·m−1） 数值 10 0.3 32 12
下载: 导出CSV
-
[1] 傅鹤林,于归,邓皇适,等. 类矩形盾构隧道上穿施工引起既有管道剪切错台变形研究[J]. 中南大学学报(自然科学版),2022,53(10): 3923-3935.FU Helin, YU Gui, DENG Huangshi, et al. Research on shear dislocation deformation of existing tunnel caused by construction of above-passing quasi-rectangular shield tunnel[J]. Journal of Central South University (Science and Technology), 2022, 53(10): 3923-3935. [2] 倪准林,王树英,黄硕,等. 富水圆砾地层斜向并行隧道上部盾构掘进对下部管片力学状态的影响[J]. 中南大学学报(自然科学版),2022,53(8): 2996-3007.NI Zhunlin, WANG Shuing, HUANG Shuo, et al. Influence of the upper shield tunnel excavation on mechanical state of lower segment in water-rich rounded gravel stratum[J]. Journal of Central South University (Science and Technology), 2022, 53(8): 2996-3007. [3] LIU X, FANG Q, ZHANG D L. Mechanical responses of existing tunnel due to new tunnelling below without clearance[J]. Tunnelling and Underground Space Technology, 2018, 80: 44-52. doi: 10.1016/j.tust.2018.06.001 [4] LIU X, FANG Q, ZHANG D L, et al. Behaviour of existing tunnel due to new tunnel construction below[J]. Computers and Geotechnics, 2019, 110: 71-81. doi: 10.1016/j.compgeo.2019.02.013 [5] CHEN R P, LIN X T, KANG X, et al. Deformation and stress characteristics of existing twin tunnels induced by close-distance EPBS under-crossing[J]. Tunnelling and Underground Space Technology, 2018, 82(12): 468-481. [6] LAI H P, ZHENG H W, CHEN R, et al. Settlement behaviors of existing tunnel caused by obliquely under-crossing shield tunneling in close proximity with small intersection angle[J]. Tunnelling and Underground Space Technology, 2020, 97: 103258.1-103258.12. [7] JIN D L, YUAN D J, LI X G, et al. Analysis of the settlement of an existing tunnel induced by shield tunneling underneath[J]. Tunnelling and Underground Space Technology, 2018, 81: 209-220. doi: 10.1016/j.tust.2018.06.035 [8] 章慧健,牛晓宇,刘功宁,等. 既有地铁列车振动荷载下密贴下穿通道的动力响应特性研究[J]. 岩石力学与工程学报,2023,42(5): 1273-1286.ZHANG Huijian, NIU Xiaoyu, LIU Gongning, et al. Research on the dynamic response of the closely-attached underpass induced by the trains’vibrating load of metro[J]. Chinese Journal of Rock Mechanics and Engineering, 2023, 42(5): 1273-1286. [9] ATTEWELL P B, YEATES J, SELBY A R. Soil movements induced by tunnelling and their effects on pipelines and structures[M]. London: Blackie and Son Ltd., 1986. [10] 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. [11] YU J, ZHANG C R, HUANG M S. Soil-pipe interaction due to tunnelling: assessment of Winkler modulus for underground pipelines[J]. Computer and Geotechnics, 2013, 50(5): 17-28. [12] 张桓,张子新. 盾构隧道开挖引起既有管线的竖向变形[J]. 同济大学学报(自然科学版),2013,41(8): 1172-1178.ZHANG Huan, ZHANG Zixin. Vertical deflection of existing pipeline due to shield tunnelling[J]. Journal of Tongji University (Natural Science), 2013, 41(8): 1172-1178. [13] 张冬梅,宗翔,黄宏伟. 盾构隧道掘进引起上方已建隧道的纵向变形研究[J]. 岩土力学,2014,35(9): 2659-2666.ZHANG Dongmei, ZONG Xiang, HUANG Hongwei. Longitudinal deformation of existing tunnel due to underlying shield tunneling[J]. Rock and Soil Mechanics, 2014, 35(9): 2659-2666. [14] 梁荣柱,宗梦繁,康成,等. 考虑隧道剪切效应的隧道下穿对既有盾构隧道的纵向影响[J]. 浙江大学学报(工学版),2018,52(3): 420-430,472.LIANG Rongzhu, ZONG Mengfan, KANG Cheng, et al. Longitudinal impacts of existing shield tunnel due to down-crossing tunnelling considering shield tunnel shearing effect[J]. Journal of Zhejiang University (Engineering Science), 2018, 52(3): 420-430,472. [15] MARSHALL A M, KLAR A, MAIR R J. Tunneling beneath buried pipes: view of soil strain and its effect on pipeline behavior[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2010, 136(12): 1664-1672. doi: 10.1061/(ASCE)GT.1943-5606.0000390 [16] LIN C G, HUANG M S, NADIM F, et al. Tunnelling-induced response of buried pipelines and their effects on ground settlements[J]. Tunnelling and Underground Space Technology, 2020, 96(2): 103193.1-103193.17. [17] MA S K, SHAO Y, LIU Y, et al. Responses of pipeline to side-by-side twin tunnelling at different depths: 3D centrifuge tests and numerical modelling[J]. Tunnelling and Underground Space Technology, 2017, 66: 157-173. doi: 10.1016/j.tust.2017.04.006 [18] 吴为义. 盾构隧道周围地下管线的性状研究[D]. 杭州: 浙江大学, 2008. -
下载:
点击查看大图
计量
- 文章访问数: 252
- HTML全文浏览量: 105
- PDF下载量: 84
- 被引次数: 0