Please wait a minute...
浙江大学学报(工学版)  2018, Vol. 52 Issue (6): 1114-1122    DOI: 10.3785/j.issn.1008-973X.2018.06.010
土木与交通工程     
半无限平面含注浆圈深埋隧道渗流场解析研究
潘以恒, 罗其奇, 周斌, 陈建平
中国地质大学(武汉) 工程学院, 湖北 武汉 430074
Analytical study on seepage field of deep tunnel with grouting circle in half plane
PAN Yi-heng, LUO Qi-qi, ZHOU Bin, CHEN Jian-ping
Faculty of Engineering, China University of Geosciences, Wuhan 430074, China
 全文: PDF(2494 KB)   HTML
摘要:

基于复变函数和渗流力学理论,采用保角变换将半无限平面围岩渗流场解析问题转化为二维圆环域的Laplace方程求解问题.根据边界条件和流量连续条件,对围岩、衬砌及注浆圈的渗流场进行联立求解,推导出半无限平面含注浆圈深埋隧道渗流场解析解.通过与镜像法解析解及数值解进行对比,验证了该解析解的可靠性.运用该解析解分析含注浆圈深埋隧道渗流场对注浆参数变化的敏感性,结果表明: 注浆参数变量可通过与注浆圈渗透系数负相关,与注浆圈厚度正相关的无量纲影响因子统一表示;隧道渗流量、衬砌外水头以及渗流场敏感性随着注浆参数影响因子的增大而减小;随着衬砌渗透系数减小,衬砌厚度增大,隧道渗流场对注浆参数变化的敏感性减弱,而隧道埋深与断面尺寸的变化则对其影响很小.

Abstract:

Based on the complex variables and the theory of seepage mechanics, the analytical problem for seepage field of surrounding rock in a half plane was transformed to solve the Laplace equation of a planar ring domain using the conformal transformation. According to the boundary conditions and the continuous condition of flow, the analytical solutions for seepage field of deep tunnel with grouting circle in a half plane were derived by solving seepage fields of surrounding rock, lining and grouting circle simultaneously. The proposed analytical solutions were compared with the analytical solutions derived with the method of image and the numerical solutions, which indicates that the proposed solutions are reliable. The sensitivity of seepage field of deep tunnel with grouting circle to the variation of grouting parameters was analyzed using the proposed analytical solutions. Results show that the grouting parametric variables can be integrated and described as a dimensionless impact factor, which is negatively correlated with the permeability coefficient of grouting circle, but positively correlated with the thickness of grouting circle. Furthermore, the water inflow into tunnel, the hydraulic head around lining and the sensitivity of seepage field decrease with the increase of this dimensionless impact factor. With the decrease of permeability coefficient of lining and the increase of thickness of lining, the sensitivity of seepage field to the variation of grouting parameters decreases, while, on which the variations of buried depth and section size of tunnel have little effect.

收稿日期: 2017-05-23 出版日期: 2018-06-20
CLC:  TU45  
基金资助:

国家自然科学基金资助项目(41672302).

通讯作者: 陈建平,男,教授.orcid.org/0000-0003-0741-9659.     E-mail: cjp741017870@163.com
作者简介: 潘以恒(1991-),男,博士生,从事岩土与地下工程研究.orcid.org/0000-0002-1683-7388.E-mail:panyihengok@163.com
服务  
把本文推荐给朋友
加入引用管理器
E-mail Alert
作者相关文章  

引用本文:

潘以恒, 罗其奇, 周斌, 陈建平. 半无限平面含注浆圈深埋隧道渗流场解析研究[J]. 浙江大学学报(工学版), 2018, 52(6): 1114-1122.

PAN Yi-heng, LUO Qi-qi, ZHOU Bin, CHEN Jian-ping. Analytical study on seepage field of deep tunnel with grouting circle in half plane. JOURNAL OF ZHEJIANG UNIVERSITY (ENGINEERING SCIENCE), 2018, 52(6): 1114-1122.

链接本文:

http://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2018.06.010        http://www.zjujournals.com/eng/CN/Y2018/V52/I6/1114

[1] 王建宇. 再谈隧道衬砌水压力[J]. 现代隧道技术, 2003, 40(3):5-10. WANG Jian-yu. Once more on hydraulic pressure upon lining[J]. Modern Tunnelling Technology, 2003, 40(3):5-10.
[2] 王秀英, 王梦恕, 张弥. 计算隧道排水量及衬砌外水压力的一种简化方法[J]. 北方交通大学学报, 2004, 28(1):8-10. WANG Xiu-ying, WANG Meng-shu, ZHANG Mi. A simple method to calculate tunnel discharge and external water pressure on lining[J]. Journal of Northern Jiaotong University, 2004, 28(1):8-10.
[3] 王秀英, 王梦恕, 张弥. 山岭隧道堵水限排衬砌外水压力研究[J]. 岩土工程学报, 2005, 27(1):125-127. WANG Xiu-ying, WANG Meng-shu, ZHANG Mi. Research on regulating water pressure acting on mountain tunnels by blocking ground water and limiting discharge[J]. Chinese Journal of Geotechnical Engineering, 2005, 27(1):125-127.
[4] 杜朝伟, 王梦恕, 谭忠盛. 水下隧道渗流场解析解及其应用[J]. 岩石力学与工程学报, 2011, 30(增2):3568-3573. DU Chao-wei, WANG Meng-shu, TAN Zhong-sheng. Analytic solution for seepage field of subsea tunnel and its application[J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(Suppl. 2):3568-3573.
[5] 应宏伟, 朱成伟, 龚晓南. 考虑注浆圈作用水下隧道渗流场解析解[J]. 浙江大学学报:工学版, 2016, 50(6):1018-1023. YING Hong-wei, ZHU Cheng-wei, GONG Xiao-nan. Analytic solution on seepage field of underwater tunnel considering grounting circle[J]. Journal of Zhejiang University:Engineering Science, 2016, 50(6):1018-1023.
[6] 李鹏飞, 张顶立, 赵勇, 等. 海底隧道复合衬砌水压力分布规律及合理注浆加固圈参数研究[J]. 岩石力学与工程学报, 2012, 31(2):280-288. LI Peng-fei, ZHANG Ding-li, ZHAO Yong, et al. Study of distribution of water pressure acting on composite lining and reasonable parameters of grouting circle for subsea tunnel[J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(2):280-288.
[7] YANG G C, WANG X H, WANG X G, et al. Analyses of seepage problems in a subsea tunnel considering effects of grouting and lining structure[J]. Marine Georesources & Geothenology, 2016, 34(1):65-70.
[8] VERRUIJT A. A complex variable solution for a deforming circular tunnel in an elastic half plane[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 1997, 21(2):77-89.
[9] EL TANI M. Circular tunnel in a semi-infinite aquifer[J]. Tunnelling and Underground Space Technology, 2003, 18(1):49-55.
[10] KOLYMBAS D, WAGNER P. Groundwater ingress to tunnels-the exact analytical solution[J]. Tunnelling and Underground Space Technology, 2007, 22(1):23-27.
[11] PARK K H, ADISOM O, LEE J G.Analytical solution for steady-state groundwater inflow into a drained circular tunnel in a semi-infinite aquifer:a revisit[J]. Tunnelling and Underground Space Technology, 2007, 23(2):206-209.
[12] 童磊, 谢康和, 卢萌盟, 等. 半无限含水层中带衬砌隧洞渗流解析研究[J]. 岩土力学, 2011, 32(1):305-309. TONG Lei, XIE Kang-he, LU Meng-meng, et al. Analytical study of seepage flow into a lined tunnel in a semi-infinite aquifer[J]. Rock and Soil Mechanics, 2011, 32(1):305-309.
[13] 皇甫明, 谭忠盛, 王梦恕, 等. 暗挖海底隧道渗流量解析解及其应用[J]. 中国工程科学, 2009, 11(7):66-70. HUANG FU-ming, TAN Zhong-sheng, WANG Meng-shu, et al. An analytical solution for water inflow into a subsea tunnel and its application[J]. Journal of China Engineering Science, 2009, 11(7):66-70.
[14] HUANG F M, WANG M S, TAN Z S, et al. Analytical solutions for steady seepage into an underwater circular tunnel[J]. Tunnelling and Underground Space Technology, 2010, 25(4):391-396.
[15] ATKINSON J H, MAIR R J. Loads on leaking and watertight tunnel linings, sewers and buried pipes due to groundwater[J]. Geotechnique, 1983, 33(3):341-344.
[16] 张冬梅, 刘印, 黄宏伟. 软土盾构隧道渗流场引起的地层和隧道沉降[J]. 同济大学学报:自然科学版, 2013, 41(8):1185-1190. ZHANG Dong-mei, LIU Yin, HUANG Hong-wei. Leakage-induced settlement of ground and shield tunnel in soft clay[J]. Journal of Tongji University:Natural Science, 2013, 41(8):1185-1190.
[17] 潘永亮. 复变函数[M]. 北京:科学出版社, 2004:170-171.
[18] 翟云芳. 渗流力学[M]. 北京:石油工业出版社, 2003:17.
[19] 张成平, 张顶立, 王梦恕, 等. 高水压富水区隧道限排衬砌注浆圈合理参数研究[J]. 岩石力学与工程学报, 2007, 26(11):2270-2276. ZHANG Cheng-ping, ZHANG Ding-li, WANG Meng-shu, et al. Study on appropriate parameters of grounting circle for tunnels with limiting discharge lining in high water pressure and water-enriched region[J]. Chinese Journal of Rock Mechanics and Engineering, 2007, 26(11):2270-2276.
[20] 刘志春, 万良勇. 地层注浆加固对隧道与地下水相互作用过程中的"双赢"影响效应分析[J]. 现代隧道技术, 2015, 52(2):87-96. LIU Zhi-chun, WAN Liang-yong. Win-win effect of ground consolidation grounting on the interaction between tunnel and groundwater[J]. Modern Tunnelling Technology, 2015, 52(2):87-96.

[1] 吴昌胜, 朱志铎. 不同隧道施工方法引起地层损失率的统计分析[J]. 浙江大学学报(工学版), 2019, 53(1): 19-30.
[2] 张家奇, 李术才, 张霄, 张庆松, 李鹏, 于海洋. 土石分层介质注浆扩散的试验研究[J]. 浙江大学学报(工学版), 2018, 52(5): 914-924.
[3] 于洋, 徐长节, 朱陈, 徐倩. 爆孕育过程的微震源事件空间分形行为[J]. 浙江大学学报(工学版), 2017, 51(11): 2175-2181.