Sensitivity analysis of mechanical parameters to surrounding-soil response induced by shield tunneling considering spatial variability
LI Jianbin1,2,3,4,CHEN Jian1,2,3,4,CHENG Hongzhan5,ZHANG Shankai1,2,WU Jiaming1,2,HU Zhifeng1,2
(1. State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,Wuhan,Hubei 430071,China;2. University of Chinese Academy of Sciences,Beijing 100049,China;3. Hubei Key Laboratory of Geo-Environmental Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,Wuhan,Hubei 430071,China;4. The Soft Soil Research Center in Ningbo University of Technology,State Key Laboratory of Geomechanics and Geotechnical Engineering,Ningbo,Zhejiang 315211,China;5. College of Civil Engineering,Hunan University,Changsha,Hunan 410082,China)
Abstract:Stochastic calculations,by combining the random field theory and the finite difference analysis together with Monte Carlo simulation,are used to carry out the sensitivity analysis of spatial variability of soil parameters to surrounding-soil response induced by tunneling. The effects of coefficients of variation(COV) of Young?s modulus(E),Poisson?s ratio( ),cohesion(c) and friction angle( ) on the surrounding-soil response were investigated and discussed in detail. Results show that the main influence factors on surrounding-soil response are arranged in the order of spatial variability of internal friction angle,Young?s modulus,cohesion and Poisson?s ratio. The higher the variation level of the parameters,the greater the sensitivity of the parameters. Additionally,the influence of spatial variability of Poisson?s ratio on surrounding-soil response can be neglected in stochastic analysis. The influence of cohesion can be considered comprehensively according to the variation level.
[1] 聂卫平,徐卫亚,周先齐. 基于三维弹塑性有限元的洞室稳定性参数敏感性灰关联分析[J]. 岩石力学与工程学报,2009,28(增2):3 885–3 893.(NIE Weiping,XU Weiya,ZHOU Xianqi. Grey relation analysis of parameter sensitivity of cavern stability based on 3d elastoplastic finite elements[J]. Chinese Journal of Rock Mechanics and Engineering,2009,28(Supp.2):3 885–3 893.(in Chinese))
[2] 张志华,周传波,夏志强,等. 地铁隧道土体参数敏感性分析与正交反演[J]. 中南大学学报:自然科学版,2013,44(6):2 488–2 493. (ZHANG Zhihua,ZHOU Chuanbo,XIA Zhiqiang,et al. Sensitivity analysis and orthogonal backward analysis of soil parameters for subway tunnel[J]. Journal of Central South University:Science and Technology,2013,44(6):2 488–2 493.(in Chinese))
[3] 朱维申,章 光. 节理岩体参数对围岩破损区影响的敏感性分析[J]. 地下空间,1994,14(1):10–15.(ZHU Weishen,ZHANG Guang. Susceptibility analyses of parameters of jointed rock to breaking area in surrounding rock[J]. Underground Space,1994,14(1):10–15.(in Chinese))
[4] 侯哲生,李 晓,王思敬,等. 金川二矿某巷道围岩力学参数对变形的敏感性分析[J]. 岩石力学与工程学报,2005,24(3):406–410. (HOU Zhesheng,LI Xiao,WANG Sijing,et al. Sensitivity analysis of mechanical parameters to deformation of surrounding rocks for a tunnel in Jinchuan deposit II[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(3):406–410.(in Chinese))
[5] 王 辉,陈卫忠. 嘎隆拉隧道围岩力学参数对变形的敏感性分析[J]. 岩土工程学报,2012,34(8):1 548–1 553.(WANG Hui,CHEN Weizhong. Sensitivity analysis ofmechanical parameters to deformation of surrounding rock in Galongla tunnel[J]. Chinese Journal of Geotechnical Engineering,2012,34(8):1 548–1 553.(in Chinese))
[6] 黄书岭,冯夏庭,张传庆. 岩体力学参数的敏感性综合评价分析方法研究[J]. 岩石力学与工程学报,2008,27(增1):2 624–2 630. (HUANG Shuling,FENG Xiating,ZHANG Chuanqing. Study of method of comprehensive evaluation for parameters of constitutive model of rock mass[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(Supp.1):2 624–2 630.(in Chinese))
[7] 程红战,陈 健,李健斌,等. 基于随机场理论的盾构隧道地表变形分析[J]. 岩石力学与工程学报,2016,35(增2):4 256–4 264. (CHENG Hongzhan,CHEN Jian,LI Jianbin,et al. Study on surface deformation induced by shield tunneling based on random field theory[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(Supp.2):4 256–4 264.(in Chinese))
[8] 文 明,张顶立,房 倩. 高速铁路隧道围岩参数空间变异性的力学响应分析[J]. 岩石力学与工程学报,2017,36(7):1 697–1 709. (WEN Ming,ZHANG Dingli,FANG Qian. Stochastic analysis of surrounding rock behavior of high speed railway tunnel considering spatial variation of rock parameters[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(7):1 697–1 709.(in Chinese))
[9] PHOON K K,CHENG Y G. Some observations on stochastic analysis of tunneling simulation in spatially random soil[C]// Proceedings of Eurotun,2009,the 2nd International Conference on Computational Methods in Tunnelling. Bochum:[s. n.],2009:1 061–1 078.
[10] VANMARCKE E H. Probabilistic modeling of soil profiles[J]. Journal of the Geotechnical Engineering Division,1977,103(11):1 227–1 246.
[11] 李健斌,陈 健,罗红星,等. 基于随机场理论的双线盾构隧道地层变形分析[J]. 岩石力学与工程学报,2018,37(7):1 748–1 765. (LI Jianbin,CHEN Jian,LUO Hongxing,et al. Study on surrounding soil deformation induced by twin shield tunneling based on random field theory[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(7):1 748–1 765.(in Chinese))
[12] FENTON G A,GRIFFITHS D V. Three-dimensional probabilistic foundation settlement[J]. Journal of Geotechnical and Geoenvironmental Engineering,2005,131(2):232–239.
[13] 张继周,缪林昌. 岩土参数概率分布类型及其选择标准[J]. 岩石力学与工程学报,2009,28(增2):3 527–3 532.(ZHANG Jizhou,MIAO Linchang. Types and selection criteria of probability distribution of rock and soil parameters[J]. Chinese Journal of Rock Mechanics and Engineering,2009,28(Supp.2):3 527–3 532.(in Chinese))
[14] FENTON G A,GRIFFITHS D V. Probabilistic foundation settlement on spatially random soil[J]. Journal of Geotechnical and Geoenvironmental Engineering,2002,128(5):381–390.
[15] SONG K I,CHO G C,LEE S W. Effects of spatially variable weathered rock properties on tunnel behavior[J]. Probabilistic Engineering Mechanics,2011,26(3):413–426.
[16] LI K S,LUMB P. Probabilistic design of slopes[J]. Canadian Geotechnical Journal,1987,24(4):520–535.
[17] PHOON K K,KULHAWY F H. Characterization of geotechnical variability[J]. Canadian Geotechnical Journal,1999,36(4):612–624.
[18] EL-RAMLY H,MORGENSTERN N R,CRUDEN D M. Probabilistic stability analysis of a tailings dyke on presheared clay-shale[J]. Canadian Geotechnical Journal,2003,40(1):192–208.
[19] 吴振君,葛修润,王水林. 考虑地质成因的土坡可靠度分析[J]. 岩石力学与工程学报,2011,30(9):1 904–1 911.(WU Zhenjun,GE Xiurun,WANG Shuilin. Reliability analysis of soil slope stability considering geologic origin[J]. Chinese Journal of Rock Mechanics and Engineering,2011,30(9):1 904–1 911.(in Chinese))
[20] DAVIS M W. Production of conditional simulations via the LU triangular decomposition of the covariance matrix[J]. Mathematical Geology,1987,19(2):91–98.
[21] 章 光,朱维申. 参数敏感性分析与试验方案优化[J]. 岩土力学,1993,14(1): 51–57.(ZHANG Guang,ZHU Weishen. Susceptibility analysis of parameters and optimization of test program[J]. Rock and Soil Mechanics,1993,14(1):51–57.(in Chinese))
[22] 闫文周,顾连胜. 熵权决策法在工程评标中的应用[J]. 西安建筑科技大学学报:自然科学版,2004,36(1):98–100.(YAN Wenzhou,GU Liansheng. Application of the method of entropy proportion in the engineering mark[J]. Journal of Xi?an University of Architecture and Technology:Natural Science,2004,36(1):98–100.(in Chinese))
[23] 程乾生. 属性识别理论模型及其应用[J]. 北京大学学报:自然科学版,1997,33(1):12–20.(CHENG Qiansheng. Attribute recognition heoretical model with application[J]. Acta Scientaiarum Naturalium Universitatis Pekinensis:Natural Science,1997,33(1):12–20.(in Chinese))
[24] MÖLLER S C. Tunnel induced settlements and structural forces in linings[Ph. D. Thesis][D]. Stuttgart,Germany:Universität Stuttgart,2006.
[25] GONG W P,LUO Z,JUANG C H,et al. Optimization of site exploration program for improved prediction of tunnelling-induced ground settlement in clays[J]. Computers and Geotechnics,2014,56(3):69–79.
[26] 朱维申,何满潮. 复杂条件下围岩稳定性与岩体动态施工力学[M]. 科学出版社,1995:128–150.(ZHU Weishen,HE Manchao. Stability of rock surrounding in complex condition and dynamic construction mechanics[M]. Beijing:Science Press,1995:128–150.(in Chinese))