围岩时变承载能力定量评估的LDP-GRC耦合新方法
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摘要
为定量判断二次支护时机,在围岩自承载系数基础上考虑岩石的流变力学性质,采用Boltzmann流变模型推导了围岩时变承载系数,研究了时间轴上围岩自承能力的变化过程和发挥程度.并以围岩时变承载系数为基础建立考虑时变效应的LDP和GRC曲线耦合新方法,定量得出二次支护时机及围岩时变承载系数间的相关关系.研究结果表明:1)不同隧洞断面处的围岩自承能力随时间变化趋势相似,都是开挖初期围岩自承能力迅速变弱,随后慢慢趋于稳定;经过相同的蠕变时间,距离开挖面越远,围岩自承能力越弱.2)同一隧洞断面处,时间越早围岩时变承载系数越大,围岩自承能力尚未充分发挥,不宜进行二次支护,即二次支护时机应该避开初期围岩自承能力变化剧烈时段.
In order to assess the secondary support time quantitatively,the time-varying selfbearing coefficient of surrounding rock is proposed based upon the Boltzmann rheological model,which aims to investigate the time-dependent process in which the surrounding rock ' s selfbearing capacity changes and develops.It takes into consideration the rheological mechanics characteristic of rock based on the self-bearing coefficient of surrounding rock. Then, a new coupling approach between LDP and GRC considering time-dependent effect is established based upon timevarying self-bearing coefficient of surrounding rock, and the secondary support time versus the time-varying self-bearing coefficient of surrounding rock is accurately evaluated.The results show that:1)The change of self-bearing capability of surrounding rock over time is similar at different cross sections of tunnel, namely,self-bearing capacity of surrounding rock drastically reduces in the early excavation stage and then tends to be steadied.And the farther away from the excavation surface,the weaker the self-bearing capacity of surrounding rock is; 2) The coupling analysis reveals that the sooner the secondary support is set up, the greater time-varying self-bearing coefficient is.It is not reasonable to carry out the secondary supporting structure when the time-varying self-bearing coefficient drops dramatically over time, because the self-bearing capability of surrounding rock cannot perform well then.
In order to assess the secondary support time quantitatively,the time-varying selfbearing coefficient of surrounding rock is proposed based upon the Boltzmann rheological model,which aims to investigate the time-dependent process in which the surrounding rock ' s selfbearing capacity changes and develops.It takes into consideration the rheological mechanics characteristic of rock based on the self-bearing coefficient of surrounding rock. Then, a new coupling approach between LDP and GRC considering time-dependent effect is established based upon timevarying self-bearing coefficient of surrounding rock, and the secondary support time versus the time-varying self-bearing coefficient of surrounding rock is accurately evaluated.The results show that:1)The change of self-bearing capability of surrounding rock over time is similar at different cross sections of tunnel, namely,self-bearing capacity of surrounding rock drastically reduces in the early excavation stage and then tends to be steadied.And the farther away from the excavation surface,the weaker the self-bearing capacity of surrounding rock is; 2) The coupling analysis reveals that the sooner the secondary support is set up, the greater time-varying self-bearing coefficient is.It is not reasonable to carry out the secondary supporting structure when the time-varying self-bearing coefficient drops dramatically over time, because the self-bearing capability of surrounding rock cannot perform well then.
引文
[1]陈宗基.地下巷道长期稳定性的力学问题[J].岩石力学与工程学报,1982,1(1):1-20.TAN Tjongkie.The mechanical problems for the longterm stability of underground galleries[J].Chinese Journal of Rock Mechanics and Engineering,1982,1(1):1-20.(in Chinese)
[2]钱鸣高,石平五.矿山压力与岩层控制[M].徐州:中国矿业大学出版社,2003.QIAN Minggao,SHI Pingwu.Ground pressure and strata control[M].Xuzhou:China University of Mining and Technology Press,2003.(in Chinese)
[3]张常光,赵均海,朱倩,等.理想弹-塑性岩体的自承载系数[J].岩土工程学报,2015,37(2):250-256.ZHANG Changguang,ZHAO Junhai,ZHU Qian,et al.Self-bearing capacity coefficient of ideal elasticplastic rock mass[J].Chinese Journal of Geotechnical Engineering,2015,37(2):250-256.(in Chinese)
[4]PANET M.Understanding deformations in tunnels[J].Comprehensive Rock Engineering,1993,1:663-690.
[5]UNLU T,GERCEK H.Effect of Possion's ratio on the normalized radial displacements occurring around the face of a circular tunnel[J].Tunneling and Underground Space Technology,2003,18(5):547-553.
[6]BASARIR H,GENIS M,OZARSLAN A.The analysis of radial displacements occurring near the face of a circular opening in weak rock mass[J].International Journal of Rock Mechanics and Mining Sciences,2010,47:771-783.
[7]VLACHOPOULOS N,DIEDERICHS M S.Improved longitudinal displacement profiles for convergence confinement analysis of deep tunnels[J].Rock Mechanics and Rock Engineering,2009,42:131-146.
[8]CHERN J C,SHIAO F Y,YU C W.An empirical safetycriterion for tunnel construction[C]//Proceedings of the Regional Symposium on Sedimentary Rock Engineering.Taipei,1998:222-227.
[9]CARRANZA-TORRES C,FAIRHURST C.Application of the convergence-confinement method of tunnel design to rock masses that satisfy the Hoek-Brown failure criterion[J].Tunnelling and Underground Space Technology Incorporating Trenchless Technology Research,2000,15(2):187-213.
[10]BROWN E T,BRAY J W,LADANYI B,et al.Ground response curves for rock tunnels[J].Journal of Geotechnical Engineering,1984,110(1):140-141.
[11]CARRANZA-TORRES C,FAIRHURST C,The elastoplastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion[J].International Journal of Rock Mechanics and Mining Sciences,1999,36(6):777-809.
[12]PARK K H,KIM Y J.Analytical solution for a circular opening in an elastic-brittle-plastic rock[J].International Journal of Rock Mechanics and Mining Sciences,2006,43(4):616-622.
[13]CHEN R,TONON F.Closed-form solutions for a circular tunnel in elastic-brittle-plastic ground with the original and generalized Hoek-Brown failure criteria[J].Rock Mechanics&Rock Engineering,2011,44(2):169-178.
[14]ZHANG C,ZHAO J,ZHANG Q,et al.A new closedform solution for circular openings modeled by the unified strength theory and radius-dependent Young's modulus[J].Computers&Geotechnics,2012,42:118-128.
[15]LEE Y K,PIETRUSZCZAK S.A new numerical procedure for elasto-plastic analysis of a circular opening excavated in a strain-softening rock mass[J].Tunneling and Underground Space Technology,2008,23(5):588-599.
[16]HAN J X,LI S C,LI S C,et al.A procedure of strainsoftening model for elasto-plastic analysis of a circular opening considering elasto-plastic coupling[J].Tunnelling&Underground Space Technology Incorporating Trenchless Technology Research,2013,37(6):128-134.
[17]崔岚,郑俊杰,章荣军,等.弹塑性软化模型下隧洞围变岩变形与支护压力分析[J].岩土力学,2014,35(3):717-722.CUI Lan,ZHENG Junjie,ZHANG Rongjun,et al.Study of support pressure and surrounding rock deformation of a circular tunel with an elastoplastic softening mode[J].Rock and Soil Mechanics,2014,35(J):717-722.(in Chinese)
[18]张常光,赵均海,张庆贺.基于统一强度理论的深埋圆形岩石隧道收敛限制分析[J].岩土工程学报,2012,34(1):110-114.ZHANG Changguang,ZHAO Junhai,ZHANG Qinghe.Convergence-confinement analysis of deep circular rock tunnels based on unified strength theory[J].Chinese Journal of Geotechnical Engineering,2012,34(1):110-114.(in Chinese)
[19]孙钧.岩石流变力学及其工程应用研究的若干进展[J].岩石力学与工程学报,2007,26(6):1081-1106.SUN Jun.Rock rheological mechanics and its advance in engineering applications[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(6):1081-1106.(in Chinese)
[20]王思敬.论岩石的地质本质性及其岩石力学演绎[J].岩石力学与工程学报,2009,28(3):433-450.WANG Sijing.Geological nature of rock and its deduction for rock mechanics[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(3):433-450.(in Chinese)
[21]王斌,李夕兵,马海鹏,等.基于自稳时变结构的岩爆动力源分析[J].岩土工程学报,2010,32(1):12-17.WANG Bin,LI Xibing,MA Haipeng,et al.Energy source of rockburst based on self-sustaining time-varying structures[J].Chinese Journal of Geotechnical Engineering,2010,32(1):12-17.(in Chinese)
[22]王斌,李夕兵,马海鹏,等.岩爆灾害控制的动静组合支护原理及初步应用[J].岩石力学与工程学报,2014,33(6):1169-1178.WANG Bin,LI Xibing,MA Haipeng,et al.Principle and preliminary application of combined staticdynamic support to rockburst disaster controlling[J].Chinese Journal of Rock Mechanics and Engineering,2014,33(6):1169-1178.(in Chinese)
[23]张建智,俞缙,蔡燕燕,等.渗水膨胀岩隧洞黏弹塑性蠕变解及变形特性分析[J].岩土工程学报,2014(12):2195-2202.ZHANG Jianzhi,YU Jin,CAI Yanyan,et al.Viscoelastic-plastic creep solutions and deformation properties of tunnels in swelling socks under seepage[J].Chinese Journal of Geotechnical Engineering,2014(12):2195-2202.(in Chinese)
[24]XU S Q,YU M H.The Effect of the intermediate principal stress on the ground response of circular openings in rock mass[J].Rock Mechanics&Rock Engineering,2006,39(2):169-181.
[25]WANG H N,UTILI S,JIANG M J.An analytical approach for the sequential excavation of axisymmetric lined tunnels in viscoelastic rock[J].International Journal of Rock Mechanics&Mining Sciences,2014,68:85-106.
[26]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&Rock Engineering,2013,46(6):1481-1498.
[27]BONINI M,DEBERNARDI D,BARLA M,et al.Themechanical behaviour of clay shales and implications on the design of tunnels[J].Rock Mechanics&Rock Engineering,2009,42(2):361.
[28]ZHANG J Z,ZHOU X P.Time-dependent jamming mechanism for single-shield TBM tunneling in squeezing rock[J].Tunnelling and Underground Space Technology,2017,69:209-222.
[29]YANG W,ZHANG Q,LI S,et al.Time-dependent behavior of diabase and a nonlinear creep model[J].Rock Mechanics&Rock Engineering,2014,47(4):1211-1224.
[30]俞凯木,俞缙,周雨晴.考虑孔隙水压劣化作用的围岩黏弹性变形解[J].铁道科学与工程学报,2016,13(6):1046-1052.YU Kaimu,YU Jin,ZHOU Yuqing.Viscoelastic deformaton solution of surrounding rock within deteriorated effect of pore water pressure[J].Jourmal of Railway Science and Engineering,2016,13(6):1046-1052.(in Chinese)
[31]SINGH A,RAO K S,AYOTHIRAMAN R.Effect of intermediate principal stress on cylindrical tunnel in an elasto-plastic rock mass[J].Procedia Engineering,2017,173:1056-1063.
[32]沈明荣,陈建峰.岩体力学[M].上海:同济大学出版社,2006.SHEN Mingrong,CHEN Jianfeng.Rockmass mechanics[M].Shanghai:Tongji University Press,2006.(in Chinese)
[2]钱鸣高,石平五.矿山压力与岩层控制[M].徐州:中国矿业大学出版社,2003.QIAN Minggao,SHI Pingwu.Ground pressure and strata control[M].Xuzhou:China University of Mining and Technology Press,2003.(in Chinese)
[3]张常光,赵均海,朱倩,等.理想弹-塑性岩体的自承载系数[J].岩土工程学报,2015,37(2):250-256.ZHANG Changguang,ZHAO Junhai,ZHU Qian,et al.Self-bearing capacity coefficient of ideal elasticplastic rock mass[J].Chinese Journal of Geotechnical Engineering,2015,37(2):250-256.(in Chinese)
[4]PANET M.Understanding deformations in tunnels[J].Comprehensive Rock Engineering,1993,1:663-690.
[5]UNLU T,GERCEK H.Effect of Possion's ratio on the normalized radial displacements occurring around the face of a circular tunnel[J].Tunneling and Underground Space Technology,2003,18(5):547-553.
[6]BASARIR H,GENIS M,OZARSLAN A.The analysis of radial displacements occurring near the face of a circular opening in weak rock mass[J].International Journal of Rock Mechanics and Mining Sciences,2010,47:771-783.
[7]VLACHOPOULOS N,DIEDERICHS M S.Improved longitudinal displacement profiles for convergence confinement analysis of deep tunnels[J].Rock Mechanics and Rock Engineering,2009,42:131-146.
[8]CHERN J C,SHIAO F Y,YU C W.An empirical safetycriterion for tunnel construction[C]//Proceedings of the Regional Symposium on Sedimentary Rock Engineering.Taipei,1998:222-227.
[9]CARRANZA-TORRES C,FAIRHURST C.Application of the convergence-confinement method of tunnel design to rock masses that satisfy the Hoek-Brown failure criterion[J].Tunnelling and Underground Space Technology Incorporating Trenchless Technology Research,2000,15(2):187-213.
[10]BROWN E T,BRAY J W,LADANYI B,et al.Ground response curves for rock tunnels[J].Journal of Geotechnical Engineering,1984,110(1):140-141.
[11]CARRANZA-TORRES C,FAIRHURST C,The elastoplastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion[J].International Journal of Rock Mechanics and Mining Sciences,1999,36(6):777-809.
[12]PARK K H,KIM Y J.Analytical solution for a circular opening in an elastic-brittle-plastic rock[J].International Journal of Rock Mechanics and Mining Sciences,2006,43(4):616-622.
[13]CHEN R,TONON F.Closed-form solutions for a circular tunnel in elastic-brittle-plastic ground with the original and generalized Hoek-Brown failure criteria[J].Rock Mechanics&Rock Engineering,2011,44(2):169-178.
[14]ZHANG C,ZHAO J,ZHANG Q,et al.A new closedform solution for circular openings modeled by the unified strength theory and radius-dependent Young's modulus[J].Computers&Geotechnics,2012,42:118-128.
[15]LEE Y K,PIETRUSZCZAK S.A new numerical procedure for elasto-plastic analysis of a circular opening excavated in a strain-softening rock mass[J].Tunneling and Underground Space Technology,2008,23(5):588-599.
[16]HAN J X,LI S C,LI S C,et al.A procedure of strainsoftening model for elasto-plastic analysis of a circular opening considering elasto-plastic coupling[J].Tunnelling&Underground Space Technology Incorporating Trenchless Technology Research,2013,37(6):128-134.
[17]崔岚,郑俊杰,章荣军,等.弹塑性软化模型下隧洞围变岩变形与支护压力分析[J].岩土力学,2014,35(3):717-722.CUI Lan,ZHENG Junjie,ZHANG Rongjun,et al.Study of support pressure and surrounding rock deformation of a circular tunel with an elastoplastic softening mode[J].Rock and Soil Mechanics,2014,35(J):717-722.(in Chinese)
[18]张常光,赵均海,张庆贺.基于统一强度理论的深埋圆形岩石隧道收敛限制分析[J].岩土工程学报,2012,34(1):110-114.ZHANG Changguang,ZHAO Junhai,ZHANG Qinghe.Convergence-confinement analysis of deep circular rock tunnels based on unified strength theory[J].Chinese Journal of Geotechnical Engineering,2012,34(1):110-114.(in Chinese)
[19]孙钧.岩石流变力学及其工程应用研究的若干进展[J].岩石力学与工程学报,2007,26(6):1081-1106.SUN Jun.Rock rheological mechanics and its advance in engineering applications[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(6):1081-1106.(in Chinese)
[20]王思敬.论岩石的地质本质性及其岩石力学演绎[J].岩石力学与工程学报,2009,28(3):433-450.WANG Sijing.Geological nature of rock and its deduction for rock mechanics[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(3):433-450.(in Chinese)
[21]王斌,李夕兵,马海鹏,等.基于自稳时变结构的岩爆动力源分析[J].岩土工程学报,2010,32(1):12-17.WANG Bin,LI Xibing,MA Haipeng,et al.Energy source of rockburst based on self-sustaining time-varying structures[J].Chinese Journal of Geotechnical Engineering,2010,32(1):12-17.(in Chinese)
[22]王斌,李夕兵,马海鹏,等.岩爆灾害控制的动静组合支护原理及初步应用[J].岩石力学与工程学报,2014,33(6):1169-1178.WANG Bin,LI Xibing,MA Haipeng,et al.Principle and preliminary application of combined staticdynamic support to rockburst disaster controlling[J].Chinese Journal of Rock Mechanics and Engineering,2014,33(6):1169-1178.(in Chinese)
[23]张建智,俞缙,蔡燕燕,等.渗水膨胀岩隧洞黏弹塑性蠕变解及变形特性分析[J].岩土工程学报,2014(12):2195-2202.ZHANG Jianzhi,YU Jin,CAI Yanyan,et al.Viscoelastic-plastic creep solutions and deformation properties of tunnels in swelling socks under seepage[J].Chinese Journal of Geotechnical Engineering,2014(12):2195-2202.(in Chinese)
[24]XU S Q,YU M H.The Effect of the intermediate principal stress on the ground response of circular openings in rock mass[J].Rock Mechanics&Rock Engineering,2006,39(2):169-181.
[25]WANG H N,UTILI S,JIANG M J.An analytical approach for the sequential excavation of axisymmetric lined tunnels in viscoelastic rock[J].International Journal of Rock Mechanics&Mining Sciences,2014,68:85-106.
[26]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&Rock Engineering,2013,46(6):1481-1498.
[27]BONINI M,DEBERNARDI D,BARLA M,et al.Themechanical behaviour of clay shales and implications on the design of tunnels[J].Rock Mechanics&Rock Engineering,2009,42(2):361.
[28]ZHANG J Z,ZHOU X P.Time-dependent jamming mechanism for single-shield TBM tunneling in squeezing rock[J].Tunnelling and Underground Space Technology,2017,69:209-222.
[29]YANG W,ZHANG Q,LI S,et al.Time-dependent behavior of diabase and a nonlinear creep model[J].Rock Mechanics&Rock Engineering,2014,47(4):1211-1224.
[30]俞凯木,俞缙,周雨晴.考虑孔隙水压劣化作用的围岩黏弹性变形解[J].铁道科学与工程学报,2016,13(6):1046-1052.YU Kaimu,YU Jin,ZHOU Yuqing.Viscoelastic deformaton solution of surrounding rock within deteriorated effect of pore water pressure[J].Jourmal of Railway Science and Engineering,2016,13(6):1046-1052.(in Chinese)
[31]SINGH A,RAO K S,AYOTHIRAMAN R.Effect of intermediate principal stress on cylindrical tunnel in an elasto-plastic rock mass[J].Procedia Engineering,2017,173:1056-1063.
[32]沈明荣,陈建峰.岩体力学[M].上海:同济大学出版社,2006.SHEN Mingrong,CHEN Jianfeng.Rockmass mechanics[M].Shanghai:Tongji University Press,2006.(in Chinese)