考虑岩体空间变异性的隧洞围岩变形随机分析

摘要
图/表
参考文献(18)
相关文章 (15)

全文: PDF (3339 KB) HTML (1 KB)
输出: BibTeX | EndNote (RIS)

摘要准确和全面地预测隧洞开挖所引起的围岩变形是隧洞设计和施工中的一个关键问题。目前常用的确定性分析方法不能考虑岩体的空间变异性，而这种空间变异性对围岩变形计算结果的准确性和可靠性有着重要的影响。为此，提出采用非侵入式随机分析方法研究岩体空间变异性对围岩变形的影响。采用随机场模拟岩体的空间变异性，采用有限元计算围岩的变形，研究岩体弹性模量和侧压力系数的空间变异性对围岩变形特别是地表位移的影响。结果表明，非侵入式随机分析方法的优势在于有限元计算和随机分析不耦合。侧压力系数的空间变异性对围岩变形的影响远小于弹性模量的影响。由于低强度占优效应的影响，岩体的特征模量小于数学平均值。弹性模量随机场中横向和竖向波动范围参数对围岩变形有明显不同的影响。

	服务

	把本文推荐给朋友
	加入我的书架
	加入引用管理器
	E-mail Alert
	RSS
	作者相关文章
	程勇刚1
	2
	常晓林1
	2
	李典庆1
	2

关键词 ：隧道工程, 隧洞开挖, 围岩变形, 空间变异性, 有限元, 非侵入式随机分析

Abstract：The design of tunnels requires a proper estimation of deformation of surrounding rocks or soils. Popular simulation approaches in engineering practice are deterministic，in which the variability of rock masses is not considered. However，numerous studies have shown that the generally large variability of rock properties may have big influences on the simulation results. The effect of spatially variable rock properties is assessed via numerical experiments using a non-intrusive stochastic finite element analysis scheme，in which the rock properties are modeled as homogeneous random fields. The non-intrusive scheme means that there is no need for user-intervention during the calculation of the deterministic finite element code while the normal stochastic finite element methods always do. Observations show that the randomness of in-situ horizontal stress coefficient is much less important as the Youngs modulus. From the average maximum surface deformation，it would appear that the characteristic modulus is not a simple arithmetic average，but one that favors low modulus pixels with a higher weight. The uncertainties in the ground movements are controlled by some local averaging of the Youngs modulus in both directions.

Key words： tunneling engineering tunnel excavation deformation of surrounding rock spatial randomness finite elements non-intrusive stochastic analysis

引用本文:

程勇刚1，2，常晓林1，2，李典庆1，2. 考虑岩体空间变异性的隧洞围岩变形随机分析[J]. 岩石力学与工程学报, 2012, 31(S1): 2767-2775.
CHENG Yonggang1，2，CHANG Xiaolin1，2，LI Dianqing1，2. DEFORMATION STOCHASTIC ANALYSIS OF TUNNEL SURROUNDING ROCK CONSIDERING ITS SPATIAL RANDOMNESS. , 2012, 31(S1): 2767-2775.

链接本文:

https://rockmech.whrsm.ac.cn/CN/Y2012/V31/IS1/2767

[1] MÖLLER S C. Tunnel induced settlements and structural forces in linings[Ph. D. Thesis][D]. Stuttgart，Germany：Universität Stuttgart，2006.

[2] 郑余朝，仇文革，张俊儒. 三管盾构隧道下穿铁路引起的地表位移及其控制技术[J]. 中国铁道科学，2007，28(5)：65–70.(ZHENG Yuchao，QIU Wenge，ZHANG Junru. Ground displacement caused by three pipes shield-driven tunnels through below railway on the ground and control technology[J]. China Railway Science，2007，28(5)：65–70.(in Chinese))

[3] 李浩，王涛，徐日庆. 隧道施工对框架结构及地表位移影响的数值分析[J]. 铁道工程学报，2008，(9)：58–61.(LI Hao，WANG Tao，XU Riqing. Numerical analysis of the influence of tunneling on ground movement and adjacent frame structure[J]. Journal of Railway Engineering Society，2008，(9)：58–61.(in Chinese))

[4] GRIFFITHS D V，FENTON G A. Probabilistic slope stability analysis by finite elements[J]. Journal of Geotechnical and Geo- environmental Engineering，ASCE，2004，130(5)：507–518.

[5] FENTON G A，GRIFFITHS D V. Probabilistic foundation settlement on spatially random soil[J]. Journal of Geotechnical and Geoenviron- mental Engineering，ASCE，2002，128(5)：381–390.

[6] FENTON G A，GRIFFITHS D V. Three-dimensional probabilistic foundation settlement[J]. Journal of Geotechnical and Geoenviron- mental Engineering，ASCE，2005，131(2)：232–239.

[7] 谭晓慧，王建国，胡晓军，等. 边坡稳定的模糊随机有限元可靠度分析[J]. 岩土工程学报，2009，31(7)：991–996.(TAN Xiaohui，WANG Jianguo，HU Xiaojun，et al. Fuzzy random finite element reliability analysis of slope stability[J]. Chinese Journal of Geotech- nical Engineering，2009，31(7)：991–996.(in Chinese))

[8] 李典庆，周创兵，陈益锋，等. 边坡可靠度分析的随机响应面法及程序实现[J]. 岩石力学与工程学报，2010，29(8)：1 513– 1 523.(LI Dianqing，ZHOU Chuangbing，CHEN Yifeng，et al. Reliability analysis of slope using stochastic response surface method and code implementation[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(8)：1 513–1 523.(in Chinese))

[9] 陈祖煜，陈立宏，王玉杰，等. 滑坡和建筑物抗滑稳定分析中的可靠度分析和分项系数设计方法[C]// 水利水电工程风险分析及可靠度设计技术进展. 北京：中国水利水电出版社，2010：27–39. (CHEN Zuyu，CHEN Lihong，WANG Yujie，et al. Reliability analysis and partial factor design methods for slope stability[C]// Proceedings of the Symposium on Risk Analysis and Reliability Based Design for Water Resources and Hydropower Projects. Beijing：China Water Power Press，2010：27–39.(in Chinese))

[10] ONG C W. Centrifuge model study of tunnel-soil-pile interaction in soft clay[Ph. D. Thesis][D]. Singapore：National University of Singapore，2009.

[11] SCHANZ T，VERMEER P A，BONNIER P G. The hardening soil model：formulation and verification[C]// BRINKGREVE R B J ed. Beyond 2000 in Computational Geotechnics. Amsterdam：A.A. Balkema，1999：281–290.

[12] CHENG C Y. Finite element study of tunnel-soil-pile interaction[M. S. Thesis][D]. Singapore：National University of Singapore，2003.

[13] VANMARCKE E. Random fields：analysis and synthesis[M]. Cambridge：MIT Press，1983：185–187.

[14] LI L B. Simulation of non-Gaussian non-translation stochastic processes using Karhunen-Loeve expansion[M. S. Thesis][D]. Singapore：National University of Singapore，2005.

[15] FENTON G A，VANMARCKE E H. Spatial variation in liquefaction risk[J]. Geotechnique，1998，48(6)：819–831.

[16] BAUER J，PULA W. Reliability with respects to settlement limit states of shallow foundation on linearly-deformable subsoil[J]. Computers and Geotechnics，2000，26(3/4)：281–308.

[17] GHANEM R G，SPANOS P D. Stochastic finite element：a spectral approach[M]. New York：Springer-Verlag，1991：67–99.

[18] Singapore Land Transport Authority(LTA). Civil design criteria for road and rail transit systems(rev. A5)[S]. Singapore：Singapore Land Transport Authority(LTA)，2006.