ZHANG Xiang, LI Lin-an, WANG Shi-bin, LIU Xi-jun, GENG Wen-bin. Limit Analysis of Surrounding Rock Pressure for Shallow Tunnels Considering Floor Heave[J]. Applied Mathematics and Mechanics, 2017, 38(8): 911-921. doi: 10.21656/1000-0887.370346
Citation: ZHANG Xiang, LI Lin-an, WANG Shi-bin, LIU Xi-jun, GENG Wen-bin. Limit Analysis of Surrounding Rock Pressure for Shallow Tunnels Considering Floor Heave[J]. Applied Mathematics and Mechanics, 2017, 38(8): 911-921. doi: 10.21656/1000-0887.370346

Limit Analysis of Surrounding Rock Pressure for Shallow Tunnels Considering Floor Heave

doi: 10.21656/1000-0887.370346
  • Received Date: 2016-11-14
  • Rev Recd Date: 2016-12-29
  • Publish Date: 2017-08-15
  • For the floor heave phenomena after excavation of shallow tunnels, the limit analysis upper bound method was applied to build a surrounding rock pressure calculation model of rigid bodies in view of tunnel floor heave effects. Then, according to the linear MohrCoulomb criterion and the associated flow rule, the theoretical expression of the surrounding rock limit pressure was deduced. Through constraints, the calculation of surrounding rock pressure was transformed into an optimization problem in mathematics so that a computer program was compiled to conduct the optimal computation. The calculated results were compared with the measured data and the reference results, to verify the reliability of the proposed method. The results show that, in the application of the limit analysis upper bound method to deal with the surrounding rock pressure problems of shallow tunnels, the tunnel floor heave effects shall be fully considered; the supporting of the tunnel floor has significant influence on the surrounding rock pressure. The research provides a theoretical reference for the excavation and supporting of shallow tunnels.
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  • [1]
    关宝树, 赵勇. 软弱围岩隧道施工技术[M]. 北京: 人民交通出版社, 2011: 4-13.(GUAN Bao-shu, ZHAO Yong. Construction Technology of Surrounding Rock Tunnel [M]. Beijing: China Communications Press, 2011: 4-13.(in Chinese))
    王毅才. 隧道工程[M]. 北京: 人民交通出版社, 2006: 65-78.(WANG Yi-cai. Tunnel Engineering [M]. Beijing: China Communications Press, 2006: 65-78.(in Chinese))
    Terzaghi K. Theoretical Soil Mechanics [M]. New York: John Wiley & Sons, 1943.
    周希圣, 宋宏伟. 国外围岩松动圈支护理论研究概况[J]. 建井技术, 1994(4): 67-71.(ZHOU Xi-sheng, SONG Hong-wei. General situation of the study on the supporting theory of surrounding rock loose circle in foreign countries[J]. Mine Construction Technology,1994(4): 67-71.(in Chinese))
    中华人民共和国交通部. 公路隧道设计规范: JTG D70—2004[S]. 北京: 人民交通出版社, 2004.(Ministry of Transport of the People’s Republic of China. Code of design tunnel of proad: JTG D70—2004[S]. Beijing: China Communications Press, 2004.(in Chinese))
    Atkinson J H, Potts D M. Stability of shallow tunnel in cohesionless soil[J]. Geotechnique,1977,27(2): 203-215.
    Davis E H, Gunn M J, Mair R J. The stability of shallow tunnel and underground openings in cohesive material [J]. Geotechnique,1980,30(4): 397-416.
    Sloan S W, Assadi A. Stability of shallow tunnels in soft ground[C]// Predictive Soil Mechanics: Proceedings of the Wroth Memorial Symposium . St Catherine’s College, Oxford, 1992: 644-663.
    Sloan S W, Kleeman P W. Upper bound limit analysis using discontinuous velocity fields[J]. Computer Methods in Applied Mechanics and Engineering,1995,127(1/4): 293-314.
    Takemura J, Kimura T, Wong S F. Undrained stability of two-dimensional unlined tunnels in soft soil[C]// Proceedings of JSCE . 1990, No 418: 267-277.
    杨小礼. 线性与非线性破坏准则下岩土极限分析方法及其应用[D]. 博士学位论文. 长沙: 中南大学, 2002.(YANG Xiao-li. Limit analysis method and its application to geotechnical engineering with linear and nonlinear failure criteria[D]. PhD Thesis. Changsha: Central South University, 2009.(in Chinese))
    Yang X L, Yin J H. Slope stability analysis with nonlinear failure criterion[J]. Journal of Engineering Mechanics,2004,130(3): 267-273.
    杨小礼. 岩石极限分析非线性理论及其应用[J]. 中南大学学报(自然科学版), 2009,40(1): 225-229.(YANG Xiao-li. Limit analysis with nonlinear failure criterion in rock masses and its applications[J]. Journal of Central University(Science and Technology),2009,40(1): 225-229.(in Chinese))
    Chen J, Yin J H, Lee C F. Upper bound limit analysis of slope stability using rigid finite elements and nonlinear programming[J]. Canadian Geotechnical Journal,2003,40(4): 742-752.
    杨峰, 阳军生. 浅埋隧道围岩压力确定的极限分析方法[J]. 工程力学, 2008,25(7): 179-184.(YANG Feng, YANG Jun-sheng. Limit analysis method for determination of earth pressure on shallow tunnel[J]. Engineering Mechanics,2008,25(7): 179-184.(in Chinese))
    杨峰. 浅埋隧道围岩稳定性的极限分析上限法研究[D]. 博士学位论文. 长沙: 中南大学, 2010.(YANG Feng. Investigation of shallow tunnel stability using upper bound solution of limit analysis[D]. PhD Thesis. Changsha: Central South University, 2010.(in Chinese))
    杨峰, 阳军生, 赵炼恒. 浅埋隧道工作面破坏模式与支护反力研究[J]. 岩土工程学报, 2010,32(2): 279-284.(YANG Feng, YANG Jun-sheng, ZHAO Lian-heng. Collapse mechanism and support pressure for shallow tunnel face[J]. Chinese Journal of Geotechnical Engineering,2010,32(2): 279-284.(in Chinese))
    杨峰, 阳军生, 张学民, 等. 黏土不排水条件下浅埋隧道稳定性上限有限元分析[J]. 岩石力学与工程学报, 2010,29(S2): 3952-3959.(YANG Feng, YANG Jun-sheng, ZHANG Xue-min, et al. Finite element analysis of upper bound solution of shallow-buried tunnel stability in undrained clay[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(S2): 3952-3959.(in Chinese))
    Yang X L, Huang F. Collapse mechanism of shallow tunnel based on nonlinear Hoek-Brown failure criterion[J]. Tunneling and Underground Space Technology,2011,26(6): 686-691.
    李永鑫. 浅埋隧道围岩压力的上限分析与围岩稳定性研究[D]. 硕士学位论文. 长沙: 中南大学, 2012.(LI Yong-xin. Upper bound analysis of earth pressure and surrounding rock stability analysis for shallow tunnel[D]. Master Thesis. Changsha: Central South University, 2012.(in Chinese))
    孔恒, 王梦恕, 张德华. 隧道底板隆起的成因、分类与控制[J]. 中国安全科学学报, 2003,13(1): 30-33.(KONG Heng, WANG Meng-shu, ZHANG De-hua. Causation and classification of tunnel floor heave and its control[J]. China Safety Science Journal,2003,13(1): 30-33.(in Chinese))
    WANG Zhi-wei, QIAO Chun-sheng, SONG Chao-ye, et al. Upper bound limit analysis of support pressures of shallow tunnels in layered jointed rock strata[J]. Tunnelling and Underground Space Technology,2014,43: 171-183.
    张标. 各种不利因素下浅埋隧道稳定性的上限分析[D]. 硕士学位论文. 长沙: 中南大学, 2014.(ZHANG Biao. Upper bound analysis of stability of shallow tunnels for unfavorable conditions[D]. Master Thesis. Changsha: Central South University, 2014.(in Chinese))
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