基于非线性破坏准则的浅埋偏压隧道稳定性分析
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摘要
根据虚功率原理,从能量的角度出发,对浅埋偏压隧道的稳定性系数和支护力进行求解,并且对计算结果进行对比与分析.结果表明:在线性破坏准则下,稳定性系数的计算结果与已有的研究成果基本一致,最大误差小于10%,验证了文中计算方法的正确性;在非线性破坏准则下,岩土材料的非线性破坏准则、隧道的埋深与地面坡角、地表荷载以及孔隙水等不利因素对支护力有较大的影响.文中还给出了不同参数值所对应的破坏面的位置,为浅埋偏压隧道的支护设计提供了理论依据.
In this paper,the stability coefficient and the supporting force of shallow bias tunnels are calculated based on the principle of virtual power from the viewpoint of energy,and the calculated results are compared. The results show that,based on the linear failure criterion,the calculated results of the stability coefficient are consistent with the existing results with a maximum error of less than 10%,which demonstrates the validity of the calculation method; and based on the nonlinear failure criterion,the supporting force is greatly influenced by some negative factors such as the nonlinear failure criterion of soil materials,the burial depth and the ground slope angle of tunnels,the ground load and the pore water. Besides,the failure surface positions corresponding to different parameter values are put forward,which provides a theoretical basis for the supporting design of shallow bias tunnels.
In this paper,the stability coefficient and the supporting force of shallow bias tunnels are calculated based on the principle of virtual power from the viewpoint of energy,and the calculated results are compared. The results show that,based on the linear failure criterion,the calculated results of the stability coefficient are consistent with the existing results with a maximum error of less than 10%,which demonstrates the validity of the calculation method; and based on the nonlinear failure criterion,the supporting force is greatly influenced by some negative factors such as the nonlinear failure criterion of soil materials,the burial depth and the ground slope angle of tunnels,the ground load and the pore water. Besides,the failure surface positions corresponding to different parameter values are put forward,which provides a theoretical basis for the supporting design of shallow bias tunnels.
引文
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[14]Yang Xiao-li,Zou Jin-feng.Cavity expansion analysis with nonlinear failure criterion[J].Geotechnical Engineering,2011,164(1):41-49.
[15]Yang Xiao-li,Yin Jian-hua.Analytical solutions for passive earth pressure considering different failure mechanisms with nonlinear failure criterion[J].Journal of the Southeast Asian Geotechnical Society,2008,39(3):129-135.
[16]Yang Xiao-li.Upper bound limit analysis of active earth pressure with different fracture surface and nonlinear yield criterion[J].Theoretical and Applied Fracture Mechanics,2007,47(1):46-56.
[17]Yang Xiao-li,Huang Fu.Influences of strain softening and seepage on elastic and plastic solutions of circular openings in nonlinear rock masses[J].Journal of Central South University of Technology,2010,17(3):621-627.
[18]Bishop A W.The use of pore-pressure coefficients in practice[J].Geotechnique,1954,4(4):148-152.
[19]Viratjandr C,Michalowski R L.Limit analysis of submerged slopes subjected to water drawdown[J].Canadian Geotechnical Journal,2006,43(8):802-814.
[20]Broms B B,Bennermark H.Stability of clay in vertical openings[J].Soil Mech Found Div ASCE,1967,193(1):71-94.
[2]潘健,刘杰伟,陈红兵,等.鲘门隧道病害治理中的轻质土浇注技术[J].华南理工大学学报:自然科学版,2008,36(1):122-127.Pan Jian,Liu Jie-wei,Chen Hong-bing,et al.Light-soil casting technology for disease repairing of Houmen tunnel[J].Journal of South China University of Technology:Natural Science Edition,2008,36(1):122-127.
[3]刘福胜,徐国元,黄文通.山岭隧道地下水渗流及加固参数的解析研究[J].华南理工大学学报:自然科学版,2012,40(2):112-117.Liu Fu-sheng,Xu Guo-yuan,Huang Wen-tong.Analytical research on groundwater seepage and reinforcement parameters of mountain tunnels[J].Journal of South China University of Technology:Natural Science Edition,2012,40(2):112-117.
[4]Huang Fu,Qin Chang-bing,Li Shu-cai.Determination of minimum cover depth for shallow tunnel subjected to water pressure[J].Journal of Central South University,2013,20(8):2307-2313.
[5]杨小礼,黄波,王作伟.水平地震力作用下浅埋偏压隧道松动围岩压力的研究[J].中南大学学报:自然科学版,2010,41(3):1090-1095.Yang Xiao-li,Huang Bo,Wang Zuo-wei.Rock failure pressure of shallow tunnel subjected to horizontal seismic and unsymmetrical loads[J].Journal of Central South University:Science and Technology,2010,41(3):1090-1095.
[6]安永林.偏压隧道围岩压力分布规律理论研究[J].湖南科技大学学报:自然科学版,2011,26(4):47-50.An Yong-lin.Study on principle of rock pressure distribution of unsymmetrical pressure tunnel[J].Journal of Hunan University of Science&Technology:Natural Science Edition,2011,26(4):47-50.
[7]Yang Xiao-li,Jin Qi-yun,Ma Jun-qiu.Pressure from surrounding rock of three tunnels with large section and small spacing[J].Journal of Central South University,2012,19(8):2380-2385.
[8]Yang Xiao-li,Zhang Jia-hua,Jin Qi-yun,et al.Analytical solution to rock pressure acting on three shallow tunnels subjected to unsymmetrical loads[J].Journal of Central South University,2013,20(2):528-535.
[9]Chen W F.Limit analysis and soil plasticity[M].Amsterdam:Elsevier,1975:275-306.
[10]Atkinson J H,Potts D M.Stability of shallow tunnel in cohesionless soil[J].Geotechnique,1977,27(2):203-215.
[11]Davis E H,Gunn M J,Mair R J,et al.The stability of shallow tunnels and underground openings in cohesive material[J].Geotechnique,1980,30(4):397-416.
[12]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.
[13]Yang Xiao-li,Yin Jian-hua.Slope stability analysis with nonlinear failure criterion[J].Journal of Engineering Mechanics,ASCE,2004,130(3):267-273.
[14]Yang Xiao-li,Zou Jin-feng.Cavity expansion analysis with nonlinear failure criterion[J].Geotechnical Engineering,2011,164(1):41-49.
[15]Yang Xiao-li,Yin Jian-hua.Analytical solutions for passive earth pressure considering different failure mechanisms with nonlinear failure criterion[J].Journal of the Southeast Asian Geotechnical Society,2008,39(3):129-135.
[16]Yang Xiao-li.Upper bound limit analysis of active earth pressure with different fracture surface and nonlinear yield criterion[J].Theoretical and Applied Fracture Mechanics,2007,47(1):46-56.
[17]Yang Xiao-li,Huang Fu.Influences of strain softening and seepage on elastic and plastic solutions of circular openings in nonlinear rock masses[J].Journal of Central South University of Technology,2010,17(3):621-627.
[18]Bishop A W.The use of pore-pressure coefficients in practice[J].Geotechnique,1954,4(4):148-152.
[19]Viratjandr C,Michalowski R L.Limit analysis of submerged slopes subjected to water drawdown[J].Canadian Geotechnical Journal,2006,43(8):802-814.
[20]Broms B B,Bennermark H.Stability of clay in vertical openings[J].Soil Mech Found Div ASCE,1967,193(1):71-94.
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