THEORETICAL ANALYSIS OF INTERACTION BETWEEN SURROUNDING ROCKS AND LINGING STRCTURE OF SHIELD TUNNEL BASED ON DRUCKER-PRAGER YIELD CRITERIA
-
摘要: 在进行盾构隧道管片衬砌结构载荷计算时,常采用全土柱或压力拱理论计算围岩松动压力,但当盾构隧道面临深埋条件且需计入形变压力时,该方法难以适用.鉴于此,基于Drucker-Prager屈服准则,推导了考虑渗流效应影响下围岩与衬砌结构相互作用的弹塑性解析解,给出了围岩弹、塑性区应力与位移、塑性区半径等关键参数与支护阻力间关系的解析式.阐述了上述解析结果在确定衬砌结构载荷中的应用,即建立围岩与衬砌结构静力平衡状态并求二者对应曲线的交点.进一步地,考虑接头引起管片衬砌结构整体刚度降低对围岩与衬砌结构相互作用的影响,引入刚度折减系数,并在衬砌结构围岩压力确定中对施工期流固耦合效应的影响和渗流力对衬砌结构支护特性曲线的影响进行了简化处理.最后,通过算例将解析解与水下盾构隧道载荷实测值和数值计算值进行了比较.结果表明:用解析方法得到的施工期和稳定期的管片衬砌结构围岩压力比现场实测值分别大28%和12%,稳定期围岩压力比数值计算值大5%,可为类似工程的设计施工提供一定的参考价值.Abstract: In calculating the load for segment lining structure of shield tunnel, the soil column or pressure arch theory are often used to describe surrounding rock loosening pressure.But when it comes to the deep-buried condition and the deformation pressure should be calculated, this method is considered as unreasonable and is difficult to apply.In view of this, based on the Drucker-Prager yield criterion, an analytical elasto plastic solution is derived for the interaction between surrounding rock and lining structure considering the influence of seepage effect, and the formula of the relationship between the support pressure and some key parameters such as the stress and displacement of surrounding rock elastic and plastic zone as well as the radius of the plastic zone is given.The analytical results can be applied in the determination of the load of the lining structure by establishing the static equilibrium state of the surrounding rock and the lining structure and finding the intersection point of the two curves.Further, rigidity reduction factor is induced to equivalent considering the influence of the overall rigidity decrease of assembled segment liner for the existence of joints to the interaction of surrounding rock and lining structure.In the load determination, the influence of the fluid-solid coupling effect during construction and seepage force on support characteristic curve of lining structure is also simplified considered.Finally, an engineering instance of underwater shield tunnel is introduced to compare the calculated load with the measured value and numerical simulated value.The results show that the caculated analytical load values of segment lining structure are greater by 28% and 12% comparing to measured values during the construction period and the stable period, and are greater by 5% comparing to numerical simulated value during the stable period, respectively.The research results of this paper can provide some reference for the design and construction of similar projects.
-
表 1 等代层参数
Table 1. Parameters of equivalent layer
-
[1] Ita WG. Guidelines for the design of shield tunnel lining. Tunnelling and Underground Space Technology, 2000, 15(3):303-331 [2] 2020年前广州将新建多条排水防涝深隧支隧. http://www.zgsz.org.cn/2014/0612/11205.html. 2014-6-12Guangzhou will build a number of deep buried drainage tunnels and anti-waterlogging branch tunnels until 2020. http://news.xinhuanet.com/energy/2016-01/18/c_1117801885.htm. 2014-6-12(in Chinese) [3] 黄鹏程. 武汉地下将建首条污水深隧. http://news.xinhuanet.com/energy/2016-01/18/c_1117801885.htm. 2016-1-8Huang Peng- cheng. Wuhan will build its first deep buried sewage tunnel. http://news.xinhuanet.com/energy/2016-01/18/c_1117801885.htm. 2016-1-8(in Chinese) [4] 赖芳杰. 掘地30米成都将建78.8公里污水深隧防内涝. http://www.sc.gov.cn/10462/12771/2016/4/3/10374826.shtml. 2016-4-3Lai Fangjie. Digging 30 m, Chengdu will build 78.8 km of deep buried sewage tunnel to prevent urban waterlogging. http://www.sc.gov.cn/10462/12771/2016/4/3/10374826.shtml. 2016-4-3(in Chinese) [5] 何川, 封坤, 方勇. 盾构法修建地铁隧道的技术现状与展望. 西南交通大学学报, 2015, 50(1):97-109 http://www.cnki.com.cn/Article/CJFDTOTAL-XNJT201501016.htmHe Chuan, Feng Kun, Fang Yong. Review and prospect on the constructing technologies of metro tunnel using shield tunneling method. Journal of Southwest Jiaotong University, 2015, 50(1):97-109(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-XNJT201501016.htm [6] 何川. 盾构/TBM施工煤矿长距离斜井的技术挑战与展望. 隧道建设, 2014, 34(4):287-297 http://www.cnki.com.cn/Article/CJFDTOTAL-JSSD201404001.htmHe Chuan. Challenges and prospectives of construction of long distance inclined shafts of coal mines by shield/TBM. Tunnel Construction, 2014, 34(4):287-297(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-JSSD201404001.htm [7] 《中国公路学报》编辑部. 中国隧道工程学术研究综述·2015. 中国公路学报, 2015, 28(5):1-65 http://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL201505001.htmEditorial Office of China Journal of Highway and Transport. Review on China's tunnel engineering research:2015. China Journal of Highway and Transport, 2015, 28(5):1-65(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL201505001.htm [8] 洪开荣. 我国隧道及地下工程发展现状与展望. 隧道建设, 2015, 35(2):95-107 http://youxian.cnki.com.cn/yxdetail.aspx?filename=JSSD2015021100E&dbname=CAPJ2015Hong Kairong. State-of-art and prospect of tunnels and underground works in China. Tunnel Construction, 2015, 35(2):95-107(in Chinese) http://youxian.cnki.com.cn/yxdetail.aspx?filename=JSSD2015021100E&dbname=CAPJ2015 [9] 何川,封坤. 大型水下盾构隧道结构研究现状与展望. 西南交通大学学报, 2011, 46(1):1-11 http://www.cnki.com.cn/Article/CJFDTOTAL-XNJT201101002.htmHe Chuan, Feng Kun. Review and prospect of structure research of underwater shield tunnel with large cross-section. Journal of Southwest Jiaotong University, 2011, 46(1):1-11(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-XNJT201101002.htm [10] 齐春,何川,封坤. 考虑流固耦合效应的水下盾构隧道受力特性. 西南交通大学学报, 2015, 50(2):306-311, 330 http://www.cnki.com.cn/Article/CJFDTOTAL-XNJT201502015.htmQi Chun, He Chuan, Feng Kun. Fluid-solid interaction-based mechanical characteristics of underwater shield tunnel. Journal of Southwest Jiaotong University, 2015, 50(2):306-311, 330(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-XNJT201502015.htm [11] 夏炜洋. 盾构法隧道施工期流固耦合问题研究.[博士论文]. 成都:西南交通大学,2012Xia Weiyang. Study on coupled solid-fluid problem of shield tunnel during construction period.[PhD Thesis]. Chengdu:Southwest Jiaotong University, 2012(in Chinese) [12] 蔡勇平,蔡晓鸿. 水工压力隧洞结构应力计算. 北京:中国水利水电出版社, 2004Cai Yongping, Cai Xiaohong. Stress Calculation of Hydraulic Pressure Tunnel Structure. Beijing:China Water & Power Press, 2004(in Chinese) [13] 李宗利,任青文,王亚红. 考虑渗流场影响深埋圆形隧洞的弹塑性解. 岩石力学与工程学报, 2004, 23(8):1291-1295 http://www.cnki.com.cn/Article/CJFDTOTAL-YSLX200408012.htmLi Zongli, Ren Qingwen, Wang Yahong. Elasto-plastic analytical solution of deep-buried circle tunnel considering fluid flow field. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(8):1291-1295(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-YSLX200408012.htm [14] 张常光. 圆形压力隧洞弹塑性应力和位移分析.[硕士论文]. 西安:长安大学,2008.Zhang Changguang. Analysis of elastic-plastic stress and displacement for circular pressure tunnel.[Master Thesis]. Xi'an:Chang'an University, 2008(in Chinese) [15] 吴顺川,潘旦光,高永涛. 深埋圆形巷道围岩和衬砌相互作用解析解. 工程力学, 2011, 28(3):136-142 http://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201103021.htmWu Shunchuan, Pan Danguang, Gao Yongtao. Analytic solution for rock-liner interaction of deep circular tunnel. Engineering Mechanics, 2011, 28(3):136-142(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201103021.htm [16] 孙闯,张向东,李永靖. 高应力软岩巷道围岩与支护结构相互作用分析. 岩土力学, 2013, 34(9):2601-2607 http://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201309028.htmSun Chuang, Zhang Xiangdong, Li Yongjing. Analysis of interaction between surrounding rock and support structure in high stressed soft rock roadway. Rock and Soil Mechanics, 2013, 34(9):2601-2607(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201309028.htm [17] 邹金锋,李帅帅,张勇等. 考虑轴向力和渗透力时软化围岩隧道解析. 力学学报, 2014, 46(5):747-755 http://lxxb.cstam.org.cn/CN/abstract/abstract144820.shtmlZou Jinfeng, Li Shuaishuai, Zhang Yong, et al. Solution and analysis of circular tunnel for the strain-softening rock masses considering the axial in situ stress and seepage force. Chinese Journal of Theoretical and Applied Mechanics, 2014, 46(5):747-755(in Chinese) http://lxxb.cstam.org.cn/CN/abstract/abstract144820.shtml [18] Carranza-Torres C, Fairhurst C. The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion. International Journal of Rock Mechanics and Mining Sciences, 1999, 36(6):777-809 doi: 10.1016/S0148-9062(99)00047-9 [19] Carranza-Torres C, Fairhurst C. Application of the convergence-confinement method of tunnel design to rock masses that satisfy the hoek-brown failure criterion. Tunnelling and Underground Space Technology, 2000, 15(2):187-213 doi: 10.1016/S0886-7798(00)00046-8 [20] 苏永华,刘少峰,王凯旋等. 基于收敛-约束原理的地下结构稳定性分析. 岩土工程学报, 2014, 36(11):2002-2009 http://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201411006.htmSu Yonghua, Liu Shaofeng, Wang Kaixuan, et al. Stability analysis of underground structures based on convergence-confinement method. Chinese Journal of Geotechnical Engineering, 2014, 36(11):2002-2009(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201411006.htm [21] 侯公羽,牛晓松. 基于Levy-Mises本构关系及D-P屈服准则的轴对称圆巷理想弹塑性解. 岩土力学, 2009, 30(6):1555-1562 http://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200906005.htmHou Gongyu, Niu Xiaosong. Perfect elastoplastic solution of axisymmetric circular openings in rock mass based on Levy-Mises constitutive relation and D-P yield criterion. Rock and Soil Mechanics, 2009, 30(6):1555-1562(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200906005.htm [22] 张小波,赵光明,孟祥瑞. 基于Drucker-Prager屈服准则的圆形巷道围岩弹塑性分析. 煤炭学报, 2013, 38 http://www.cnki.com.cn/Article/CJFDTOTAL-MTXB2013S1005.htmS1):30-37(Zhang Xiaobo, Zhao Guangming, Meng Xiangrui. Elastoplastic analysis of surrounding rock on circular roadway based on Drucker-Prager yield criterion. Journal of China Coal Society, 2013, 38(S1):30-37(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-MTXB2013S1005.htm [23] 谢红强. 隧道工程热液固多场耦合效应研究.[博士论文]. 成都:西南交通大学,2006Xie Hongqiang. Study on multi-field coupled effects of heat, liquid and solid in tunnel works.[PhD Thesis]. Chengdu:Southwest Jiaotong University, 2006(in Chinese) [24] 何川,谢红强. 多场耦合分析在隧道工程中的应用. 成都:西南交通大学出版社, 2007He Chuan, Xie Hongqiang. Application of Analysis of Multi-field Coupled Effects in Tunnel Works. Chengdu:Southwest Jiaotong University Press, 2007(in Chinese) [25] 肖明清. 大型水下盾构隧道结构设计关键问题研究.[博士论文]. 成都:西南交通大学,2014Xiao Mingqing. Research on key issues of segmental lining structure design for underwater shield tunnel with large cross-section.[PhD Thesis]. Chengdu:Southwest Jiaotong University, 2014(in Chinese) [26] 郑颖人,沈珠江,龚晓南.岩土塑性力学原理——广义塑性力学. 北京:中国建筑工业出版社, 2002Zheng Yingren, Shen Zhujiang, Gong Xiaonan. Principle of Plastic Mechanics of Rock and Soil——Generalized Plastic Mechanics. Beijing:China Building Industry Press, 2002(in Chinese) [27] Alejano LR, Alonso E, Rodríguez-Dono A, et al. Application of the convergence-confinement method to tunnels in rock masses exhibiting Hoek——Brown strain-softening behaviour. International Journal of Rock Mechanics and Mining Sciences, 2010, 47(1):150-160 doi: 10.1016/j.ijrmms.2009.07.008 [28] González-Nicieza C, álvarez-Vigil AE, Menéndez-Díaz A, et al. Influence of the depth and shape of a tunnel in the application of the convergence——confinement method. Tunnelling and Underground Space Technology, 2008, 23(1):25-37 doi: 10.1016/j.tust.2006.12.001 [29] 刘建航,侯学渊. 盾构法隧道. 北京:中国铁道出版社, 1991Liu Jianhang, Hou Xueyuan. Shield Tunnel. Beijing:China Railway Publishing House, 1991(in Chinese) [30] 日本土木学会. 盾构隧道管片设计——从容许应力法到极限状态法. 官林星译. 北京:中国建筑工业出版社, 2012 [31] 封坤,何川,夏松林. 大断面盾构隧道结构横向刚度有效率的原型试验研究. 岩土工程学报, 2011, 33(11):1750-1758 http://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201111019.htmFeng Kun, He Chuan, Xia Songlin. Prototype tests on effective bending rigidity ratios of segmental lining structure for shield tunnel with large cross-section. Chinese Journal of Geotechnical Engineering, 2011, 33(11):1750-1758(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201111019.htm [32] 王建宇. 隧道围岩渗流和衬砌水压力载荷. 铁道建筑技术, 2008, (2):1-6 http://www.cnki.com.cn/Article/CJFDTOTAL-TDJS200802004.htmWang Jianyu. Problems on external water pressure on tunnel lining. Railway Construction Technology, 2008, (2):1-6(in Chinese) http://www.cnki.com.cn/Article/CJFDTOTAL-TDJS200802004.htm [33] 铁道第四勘察设计院. 广深港客运专线广州至深圳段狮子洋隧道盾构隧道结构设计. 武汉:铁道第四勘察设计院, 2006China Railway Siyuan Survey and Design Group Co.,Ltd. Structure design of Shiziyang shield tunnel of Guangzhou-Shenzhen section of Guangzhou-Shenzhen-Hong Kong PDL. Wuhan:China Railway Siyuan Survey and Design Group Co.,Ltd, 2006(in Chinese) [34] 铁道第四勘察设计院. 广深港客运专线广州至深圳段狮子洋隧道工程地质勘察报告. 武汉:铁道第四勘察设计院, 2006China Railway Siyuan Survey and Design Group Co.,Ltd. Geological survey report of Shiziyang shield tunnel of Guangzhou-Shenzhen section of Guangzhou-Shenzhen-Hong Kong PDL. Wuhan:China Railway Siyuan Survey and Design Group Co.,Ltd, 2006(in Chinese) [35] Ministry of Railways of the PRC. TB10003-2005, J449-2005 Code for design of Railway Tunnels. Beijing:China Railway Publishing House, 2005(in Chinese) [36] 洪开荣. 高速铁路特长水下盾构隧道施工技术. 北京:中国铁道出版社, 2013Hong Kairong. Construction Technologies of Extra Long Underwater Shield-Bored High Speed Railway Tunnels. Beijing:China Railway Publishing House, 2013(in Chinese) -