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考虑岩土参数空间变异性的盾构隧道地表沉降分析

王长虹, 朱合华, 徐子川, 李建高

王长虹, 朱合华, 徐子川, 李建高. 考虑岩土参数空间变异性的盾构隧道地表沉降分析[J]. 岩土工程学报, 2018, 40(2): 270-277. DOI: 10.11779/CJGE201802007
引用本文: 王长虹, 朱合华, 徐子川, 李建高. 考虑岩土参数空间变异性的盾构隧道地表沉降分析[J]. 岩土工程学报, 2018, 40(2): 270-277. DOI: 10.11779/CJGE201802007
WANG Chang-hong, ZHU He-hua, XU Zi-chuan, LI Jian-gao. Ground surface settlement of shield tunnels considering spatial variability of multiple geotechnical parameters[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(2): 270-277. DOI: 10.11779/CJGE201802007
Citation: WANG Chang-hong, ZHU He-hua, XU Zi-chuan, LI Jian-gao. Ground surface settlement of shield tunnels considering spatial variability of multiple geotechnical parameters[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(2): 270-277. DOI: 10.11779/CJGE201802007

考虑岩土参数空间变异性的盾构隧道地表沉降分析  English Version

基金项目: 国家重点基础研究发展计划项目(2011CB013800-G); 国家自然科学基金项目(51208303); 上海市教委科技创新重点项目(14ZZ162)
详细信息
    作者简介:

    王长虹(1978-),男,湖南衡山人,工学博士,主要从事随机力学研究工作。E-mail:changhong_wang@163.com。

    通讯作者:

    徐子川,E-mail:07xuzichuan@gmial.com

  • 中图分类号: TU454

Ground surface settlement of shield tunnels considering spatial variability of multiple geotechnical parameters

  • 摘要: 现有随机场理论能够较好地描述单一岩土参数的天然随机性、空间结构性和局部奇异性。当前面临的挑战是如何考虑多个土层、多元及统计相关的岩土参数空间变异性对岩土工程的影响。考虑岩土参数如黏聚力、内摩擦角和压缩模量等具有明显的空间变异性,将随机场理论引入盾构隧道地表沉降可靠指标分析。主要研究工作包括:①采用局部均值方法将多个非平稳土层同一岩土参数转化为平稳各向异性随机场变量,并给出随机场的统计特征;②简化岩土参数的空间变异性为一般变异性,直接采用响应面方法计算盾构隧道地表沉降可靠指标;③提出协同序贯高斯离散算法,在空间网格上实现多元岩土参数随机场的同步离散化,并基于经典Monte-Carlo随机模拟原理和盾构隧道数值计算,直接统计地表沉降的可靠指标;④引入子集Monte-Carlo随机模拟加速算法。将以上方法应用于天津#5、#6地铁环湖西路站—宾馆西路站区间盾构隧道四线交叠工程,结果表明,采用经典随机理论描述岩土参数的变异性,所得到的盾构隧道地表沉降可靠指标小于基于随机场理论的对应值。该结论为复杂盾构隧道的施工控制与设计优化提供了理论依据。
    Abstract: The existing spatial random field theories can better depict the uncertainty of a single geotechnical parameter, including the intrinsic randomness, global variability and local singularity. The current challenge is how to analyze the correlated variables in multiple soil layers for soil-tunneling mechanics. The coefficient of cohesion, internal friction angle and compression modulus are considered in the reliability index analysis of ground surface settlement due to excavation of shallow-buried tunnels. At first, the geotechnical parameters of multiple non-stationary soil layers are converted into unified anisotropic spatial random field using the local detrending method, and the statistical parameters are defined. Then, the uncertainty is simplified into aleatory randomness, and the response surface method is introduced into the reliability index analysis. The co-sequential Gaussian discretization is designed for the spatial random field and numerical analysis. Finally, the failure probability (i.e., reliability index) of ground surface settlement is calculated stochastically by using the classical and subset Monte-Carlo simulations, respectively. This approach is applied into the four shield tunnel paralleling zones of the 5th and 6th metro lines between West Huanhu Road station and West Binguan Road station in Tianjin of China. The results show that the reliability index considering geotechnical parameters as the classically probabilistic variables is smaller than that of spatial random field assumption. It may support substantially the construction control and design optimization in complex shallow-buried shield tunneling projects.
  • [1] 朱合华, 李晓军. 数字地下空间与工程[J]. 岩石力学与工程学报, 2007, 26(11): 2277-2288.
    (ZHU He-hua, LI Xiao-jun.Digital underground space and engineering[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(11): 2277-2288. (in Chinese))
    [2] 李晓军, 王长虹, 朱合华. Kriging插值方法在地层模型生成中的应用研究[J]. 岩土力学, 2009, 30(1): 157-162.
    (LI Xiao-jun, WANG Chang-hong, ZHU He-hua.Kriging interpolation and its application to generating stratum model[J]. Rock and Soil Mechanics, 2009, 30(1): 157-162. (in Chinese))
    [3] 王长虹, 朱合华. 多重分形与Kriging插值在地层模型生成中的应用[J]. 岩土力学, 2011, 32(6): 1864-1868.
    (WANG Chang-hong, ZHU He-hua.Application of multifractal and Kriging interpolation to reconstruction of stratum[J]. Rock and Soil Mechanics, 2011, 32(6): 1864-1868. (in Chinese))
    [4] 王长虹, 朱合华, 钱七虎. 克里金算法与多重分形理论在岩土参数随机场分析中的应用[J]. 岩土力学, 2014, 35(增刊2): 386-392.
    (WANG Chang-hong, ZHU He-hua, QIAN Qi-hu.Application of Kriging methods and multi-fractal theory to estimate of geotechnical parameters spatial distribution[J]. Rock and Soil Mechanics, 2014, 35(S2): 386-392. (in Chinese))
    [5] 包承纲. 可靠度分析方法在岩土工程中的应用[J]. 人民长江, 1996, 27(5): 1-5.
    (BAO Cheng-gang.Application of reliability analyzing method in geotechnical engineering[J]. Yangtze River, 1996, 27(5): 1-5 . (in Chinese))
    [6] 张璐璐, 张洁, 徐耀, 等. 岩土工程可靠度理论[M]. 上海: 同济大学出版社, 2011.
    (ZHANG Lu-lu, ZHANG Jie, XU Yao, et al.Reliability theory of geotechnical engineering[M]. Shanghai: Tongji University Press, 2011. (in Chinese))
    [7] WANG C H, ZHU H H.Combination of Kriging methods and Multi-Fractal theory to estimate spatial distribution of the geotechnical parameters[J]. Bulletin of Engineering Geology and Environment, 2016, 75: 413-423.
    [8] WANG C H, HARKEN B, OSORIO-MURILLO C A, et al. Bayesian approach for probabilistic site characterization assimilating borehole experiments and cone penetration tests[J]. Engineering Geology, 2016, 207: 1-13.
    [9] WANG C H, OSORIO-MURILLO C A, ZHU H H, et al. Bayesian approach for calibrating transformation model from spatially varied CPT data to regular geotechnical parameter[J]. Computers and Geotechnics, 2017, 85: 262-273.
    [10] PHOON K K, CHENG Y G.Some observations on tunneling simulation in spatially random soil using the displacement controlled method[C]// Second International Conference on Computational Methods in Tunneling. Bochum, 2009: 1061-1078.
    [11] MOLLON G, DIAS D, SOUBRA A H.Probabilistic analysis of circular tunnels in homogeneous soil using response surface methodology[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2009, 135(9): 1314-1325.
    [12] 胡小荣, 唐春安. 岩土力学参数随机场的空间随机性分析及单元体力学参数赋值研究[J]. 岩石力学与工程学报, 2000, 19(1): 59-63.
    (HU Xiao-rong, TANG Chun-an.Spatial variation analysis on the random field of mechanical parameters for rock and soil and the parameter estimation of elements[J]. Chinese Journal of Rock Mechanics and Engineering, 2000, 19(1): 59-63. (in Chinese))
    [13] 薛亚东, 方超, 葛嘉诚. 各向异性随机场下的边坡可靠度分析[J]. 岩土工程学报, 2013, 35(增刊2): 77-82.
    (XUE Ya-dong, FANG Chao, GE Jia-cheng.Slope reliability in anisotropic random fields[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(S2): 77-82. (in Chinese))
    [14] 侯公羽, 刘宏伟, 李晶晶, 等. 基于开挖卸荷效应的地铁隧道施工过程数值分析[J]. 岩石力学与工程学报, 2013, 31(增刊1): 2915-2924.
    (HOU Gong-yu, LIU Hong-wei, LI Jing-jing, et al.Numerical analysis of subway tunnel construction process based on excavation unloading effect[J]. Chinese Journal of Rock Mechanics and Engineering, 2013, 31(S1): 2915-2924. (in Chinese))
    [15] MATHERON G, ARMSTRONG M.Principles of geostatistics[J]. Economic Geology, 1963, 58: 1246-1266.
    [16] MANTOGLOU A, WILSON J L.The turning bands method for simulation of random fields using line generation by a spectral method[J]. Water Resources Research, 1982, 18(5): 1379-1394.
    [17] HUANG S P, QUEK S T, PHOON K K.Convergence study of the truncated Karhunen-Loeve expansion for simulation of stochastic processes[J]. International Journal for Numerical Methods in Engineering, 2001, 52(9): 1029-1043.
    [18] PEBESMA E J.Multivariable geostatistics in S: the gstat package[J]. Computers & Geosciences, 2004, 30(7): 683-691.
    [19] 梁诗雪, 孙伟玲, 李杰. 随机场的随机谐和函数表达[J]. 同济大学学报 (自然科学版), 2012, 40(7): 965-970.
    (LIANG Shi-xue, SUN Wei-li, LI Jie.Simulation of multi-dimensional random fields by stochastic harmonic functions[J]. Journal of Tongji University (Natural Science), 2012, 40(7): 965-970. (in Chinese))
    [20] 张仁铎. 空间变异理论及应用[M]. 北京: 科技出版社, 2005.
    (ZHANG Ren-duo.Theory and application of spatial variability[M]. Beijing: Science Press, 2005. (in Chinese))
    [21] PAPAIOANNOU I, STRAUB D.Reliability updating in geotechnical engineering including spatial variability of soil. Computers and Geotechnics, 2012, 42: 44-51.
    [22] 杨敏, 赵锡宏. 分层土中的单桩分析法[J]. 同济大学学报, 1992(4): 421-428.
    (YANG Min, ZHAO Xi-hong.An approach for a single pile in layered soil[J]. Journal of Tongji University, 1992(4): 421-428. (in Chinese))
    [23] 李小勇, 谢康和, 虞颜. 土性指标相关距离性状的研究[J]. 土木工程学报, 2003, 36(8): 91-96.
    (LI Xiao-yong, XIE Kang-he, YU Yan.Research of the characteristics of correlation distance on soil properties indexes[J]. China Civil Engineering Journal, 2003, 36(8): 91-96. (in Chinese))
    [24] 林军, 蔡国军, 邹海峰, 等. 基于随机场理论的江苏海相黏土空间变异性评价研究[J]. 岩土工程学报, 2015, 37(7): 1278-1287.
    (LIN Jun, CAI Guo-jun, ZOU Hai-feng, et al.Assessment of spatial variability of Jiangsu marine clay based on random field theory[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(7): 1278-1287. (in Chinese))
    [25] 武登辉. 岩土参数不确定性研究及工程应用[D]. 杭州: 浙江大学, 2012.
    (WU Deng-hui.Uncertainty research and engineering application of geotechnical parameters[D]. Hangzhou: Zhejiang University, 2012. (in Chinese))
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  • 收稿日期:  2016-09-13
  • 发布日期:  2018-02-24

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