Advanced Search
  • Indexed in Scopus
  • Source Journal for Chinese Scientific and Technical Papers and Citations
  • Included in A Guide to the Core Journal of China
  • Indexed in Ei Compendex
Volume 35 Issue 11
Turn off MathJax
Article Contents
Abstract
References
Related Articles
WANG Hua-ning, JIANG Ming-jing, HE Ping. Analytical solutions for elliptical tunnels in rheological rock considering excavation[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(11): 1979-1987.
Citation: WANG Hua-ning, JIANG Ming-jing, HE Ping. Analytical solutions for elliptical tunnels in rheological rock considering excavation[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(11): 1979-1987.
shu

Analytical solutions for elliptical tunnels in rheological rock considering excavation

  • 1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China; 2. Department of Geotechnical Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, China

More Information
  • Received Date: January 13, 2013
  • Published Date: November 19, 2013
    Graphical Abstract
    • Abstract
  • Sequential excavation is often adopted in construction of large tunnels. The analytical solutions for deeply buried elliptical tunnels in rheological rock considering the time-dependent excavation are derived. In order to simulate the design process of excavation, the values of the major and the minor axes are assumed to be arbitrarily time-dependent functions. First, the general expressions for the stresses and the additional displacements due to excavation are derived by using the complex variable method and the corresponding principle of time-dependent boundary problem. In the derivation, the inverse mapping function is introduced to detach the time variable which should participate in the Laplace transformation. Then, the explicit analytical expressions in integral form are obtained by simulating the rock mass in the Boltzmann viscoelastic model. Finally, the parametric analysis of the stresses and displacements is then performed to investigate the influence of the excavation process and the rate for different types of rock. The results show that the stresses and displacements are greatly affected by the excavation process. The proposed solutions can be used in the mechanical analysis of excavation of elliptical tunnels, and are valuable in the preliminary design of underground tunnels.
    • FullText(HTML)
    • References (20)
  • [1]
    SULEM J, PANET M, GUENOT A. Closure analysis in deep tunnels[J]. International Journal of Rock Mechanics and Mining Science and Geomechanics Abstract, 1987, 24(3): 145-154.
    [2]
    HAGE CHEHADE F, SHAHROUR I. Numerical analysis of the interaction between twin-tunnels: Influence of the relative position and construction procedure[J]. Tunnelling and Underground Space Technology, 2008, 23(2): 210-214.
    [3]
    PRAZERES P G C, THOENI K, BEER G. Nonlinear analysis of NATM tunnel construction with the boundary element method[J]. Computers and geotechnics, 2012, 40: 160-173.
    [4]
    CARRANZA-TORES C, FAIRHURST C. The elastoplastic responds of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion[J]. International Journal of Rock Mechanics and Mining Science and Geomechanics Abstract, 1999, 36(6): 777-809.
    [5]
    曹志远. 土木工程分析的施工力学与时变力学基础[J]. 土木工程学报, 2000, 33(6): 105-108. (CAO Zhi-yuan. Construction mechanics and time-varying mechanics in civil engineering[J]. China Civil Engineering Journal, 2000, 33(6): 105-108. (in Chinese))
    [6]
    SULEM J, PANET M, GUENOT A. An analytical solution for time-dependent displacements in circular tunnel[J]. International Journal of Rock Mechanics and Mining Sience & Geomechanics Abstracts, 1987, 24(3): 155-164.
    [7]
    GOODMAN R E. Introduction to rock mechanics[M]. New York: Wiley, 1989.
    [8]
    NOMIKOS P, RAHMANNEJAD R, SOFIANOS A. Supported axisymmetric tunnels within linear viscoelastic Burgers rocks[J]. Rock Mechanics and Rock Engineering, 2011, 44: 553-564.
    [9]
    DUENSER C, BEER G. Simulation of sequential excavation with the boundary element method[J]. Computers and Geotechnics, 2012, 44: 157-166.
    [10]
    王华宁, 曹志远, 李 悦. 考虑断面及纵向施工效应时支护圆形洞室黏弹解析分析[J]. 岩土工程学报, 2011, 33(8): 1159-1166. (WANG Hua-ning, CAO Zhi-yuan, LI Yue. Analytical research of lined circular tunnel in viscoelastic rock mass considering the effect of cross-section and longitudinal construction[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(2): 1159-1166. (in Chinese))
    [11]
    WANG H N, NIE G H. Analytical expressions for stress and displacement fields in viscoelastic axisymmetric plane problem involving time-dependent boundary regions[J]. Acta Mechanica, 2010, 210(3/4): 315-330.
    [12]
    WANG H N, LI Y, NI Q, et al. Analytical solutions for the construction of deeply buried circular tunnels with two liners in rheological rock[J]. Rock Mechanics and Rock Engineering, 2013, 46: 1481-1498.
    [13]
    LI S C, WANG M B. Elastic analysis of stress-displacement field for a lined circular tunnel at great depth due to ground loads and internal pressure[J]. Tunnelling and Underground Space Technology, 2008, 23: 609-617.
    [14]
    LV A Z, ZHANG L Q, ZHANG N. Analytic stress solutions for a circular pressure tunnel at pressure and great depth including support delay[J]. International Journal of Rock Mechanics and Mining Sciences, 2011, 48(3): 514-519.
    [15]
    LEE E H. Stress analysis in viscoelastic bodies[J]. Quarterly of Applied Mathematics, 1955, 13: 183-190.
    [16]
    GRAHAM G A C, SABIN G C W. The correspondence principle of linear viscoelasticity for problems that involve time-dependent regions[J]. International Journal of Engineering Science, 1973, 11(1): 123-140.
    [17]
    MUSKHELISHVILI N I. Some basic problems of the mathematical theory of elasticity[M]. Groningen: Noordhoff, 1963.
    [18]
    陈子荫. 围岩力学分析中的解析方法[M]. 北京: 煤炭工业出版社, 1994. (CHEN Zi-yin. Analytical method in Geomechanics[M]. Beijing: Coal Industry Press, 1994. (in Chinese))
    [19]
    ZHANG Lu-qing, YANG Zhi-fa, LU Ai-zhong. Analytics study on the problem of two holes having arbitrary shapes and arrangements in plane elstostatics[J]. Science in China(Series D), 2000, 44(2):146-158.
    [20]
    何 平, 王华宁. 深埋圆形压力隧洞施工过程的黏弹性解析解[J]. 力学季刊, 2012, 33(1): 45-52. (HE Ping, WANG Hua-ning. Analytical viscoelastic solution of deeply buried circular tunnel considering excavation process[J]. Chinese Quarterly of Mechanics, 2012, 33(1): 45-52. (in Chinese))
    • Related Articles

  • Related Articles

    [1]CAO Zeming, YANG Jianhua, YE Zhiwei, LENG Zhendong, YAO Chi, ZHANG Xiaobo. Influences of in-situ stress on distribution characteristics of rock blasting fragmentation[J]. Chinese Journal of Geotechnical Engineering, 2024, 46(10): 2202-2211. DOI: 10.11779/CJGE20230714
    [2]JIANG Jin-shuo, LI Rong-jian, LIU Jun-ding, WANG Lei, GUO Qiang, ZOU Ze-lin. Stress and displacement of surrounding rock of loess tunnels based on joint strength[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(S2): 189-192. DOI: 10.11779/CJGE2019S2048
    [3]ZHU Si-tao, JIANG Fu-xing, WANG Xu-you, JIANG Yi-wu, NING Ting-zhou, SUN Shao-hua. Energy accumulation characteristics and rockburst mechanism of surrounding rock at heading face of extra-thick coal seam[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(11): 2071-2078. DOI: 10.11779/CJGE201911012
    [4]HAN Kai-hang, ZHANG Cheng-ping, WANG Meng-shu. Explicit analytical solutions for stress and displacement of surrounding rock in shallow tunnels[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(12): 2253-2259. DOI: 10.11779/CJGE201412013
    [5]LI Yuan-xin, ZHU Zhe-ming, FAN Jun-li. Effect of principal stress orientation on stability of surrounding rock of tunnels[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(10): 1908-1914. DOI: 10.11779/CJGE201410019
    [6]HE Fu-lian, XU Lei, WU Huan-kai, LI Tong-da. Deviatoric stress transfer and stability of surrounding rock in large-section open-off cut roof[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(6): 1122-1128. DOI: 10.11779/CJGE201406018
    [7]YAN Li, YANG Jun-sheng, LIU Bao-chen. Stress and displacement of surrounding rock with shallow twin-parallel tunnels[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(3): 413.
    [8]CHEN Xiang, SUN Jinzhong, ZHANG Jiekun, CHEN Qingshou. Fitting analysis of geo-stress field in Huangdao water sealed underground oil tank site[J]. Chinese Journal of Geotechnical Engineering, 2009, 31(5): 713-719.
    [9]LI Jinsuo, PENG Hua, MA Xiumin, SHI Zhenrong, LI Jianwen, YANG Shaoxi. Three-dimensional finite element numerical simulation of geo-stress in Da-Li Railway tunnel of Yunnan[J]. Chinese Journal of Geotechnical Engineering, 2006, 28(6): 800-803.
    [10]Chen Zhongxian, Tang Lei. Rock displacement and load of bolts around large scale cavities with high stress[J]. Chinese Journal of Geotechnical Engineering, 2000, 22(3): 294-298.
    • Supplements (0)

Catalog

    Get Citation
    PDF
    XML
    Article views (415) PDF downloads (446) Cited by()
    Related
    Website Copyright © 2010 Nanjing Hydraulic Research Institute 苏ICP备05007122号-11公安联网备案号：32010602011255
    Editorial Office address：34 Hujuguan,Nanjing 210024,ChinaPostal Code：210024Tel：025-85829534，85829556E-mail: ge@nhri.cn

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return