岩体爆破破坏效应颗粒流数值模拟验证研究
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摘要
采用颗粒流方法对岩体爆炸破岩过程进行数值模拟,将集中药包作用下的爆炸球面波等效为三角形波脉冲,根据颗粒离散元原理建立了点膨胀加载法和动边界处理法,结合动三轴试验标定的细观力学参数,建立了颗粒离散元爆炸应力波传播分析模型。利用数值模拟进行了爆破破岩机理分析,探讨了不同埋深、炸点膨胀比、炮孔压力对爆破效果的影响,给出了数值模拟时合适的炸点膨胀比与峰值压力取值范围,并根据爆破工程实践对爆破漏斗效应、微差爆破效应进行了验证。研究方法简单可靠,可反映岩体爆炸应力波传播规律,动态表征岩体的破坏过程,有助于进一步加深对工程爆破效应的认识。
The numerical simulation of the damage process in rock mass under blasting loading was carried out by the method of particle flow code.The explosion spherical wave was equivalent to the triangle wave pulse under the action of the concentrated charge.According to the particle discrete element principle,the point expansion loading method and the dynamic boundary treatment method were established.Based on the meso-mechanics parameters calibrated by the dynamic triaxial test,the particle discrete element numerical analysis model of explosive stress wave propagation was established.The effects of burial depth,blast point expansion ratio and blasting pressure on the blasting effect were discussed.Based on the practice of blasting engineering,the blasting funnel effect and millisecond blasting effect were verified.The research method can reflect the propagation law of explosive stress wave in rock mass and dynamically characterize the failure process of rock mass,which will further enhance the understanding of engineering blasting effect.
The numerical simulation of the damage process in rock mass under blasting loading was carried out by the method of particle flow code.The explosion spherical wave was equivalent to the triangle wave pulse under the action of the concentrated charge.According to the particle discrete element principle,the point expansion loading method and the dynamic boundary treatment method were established.Based on the meso-mechanics parameters calibrated by the dynamic triaxial test,the particle discrete element numerical analysis model of explosive stress wave propagation was established.The effects of burial depth,blast point expansion ratio and blasting pressure on the blasting effect were discussed.Based on the practice of blasting engineering,the blasting funnel effect and millisecond blasting effect were verified.The research method can reflect the propagation law of explosive stress wave in rock mass and dynamically characterize the failure process of rock mass,which will further enhance the understanding of engineering blasting effect.
引文
[1]严成增,孙冠华,郑宏,等.爆炸气体驱动下岩体破裂的有限元-离散元模拟[J].岩土力学,2015,36(8):2 419-2 425.Yan Ch Z,Sun G H,Zh H,et al.Finite element-discrete element simulation of rock mass fracture driven by explosive gas[J].Rock and Soil Mechanics,2015,36(8):2 419-2 425.(in Chinese)
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[3]王发青.爆炸荷载下岩体破裂影响因素研究[J].化工设计通讯,2017,43(3):218-221.Wang F Q.Study on influencing factors of rock mass rupture under explosive load[J].Chemical Engineering Design Communications,2017,43(3):218-221.(in Chinese)
[4]Fakhimi A,Lanari M.DEM-SPH simulation of rock blasting[J].Computers and Geotechnics,2014,55:158-164.
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[9]Liu K W,Hao H,Li X B.Numerical analysis of the stability of abandoned cavities in bench blasting[J].International Journal of Rock Mechanics&Mining Sciences,2017,92:32-39.
[10]李超,刘红岩,阎锡东.动载下节理岩体破坏过程的数值试验研究[J].岩土力学,2015,36(增2):655-664.Li Ch,Liu H Y,Yan X D.Numerical experimental study on failure process of jointed rock mass under dynamic loading[J].Rock and Soil Mechanics,2015,36(Sup 2):655-664.(in Chinese)
[11]Zhu Z M.Numerical predictions of crater blasting and bench blasting[J].International Journal of Rock Mechanics and Mining Sciences,2009,46(6):1 088-1 096.
[12]张凤鹏,彭建宇,范光华,等.不同静应力和节理条件下岩体爆破破岩机制研究[J].岩土力学,2016,37(7):1 839-1 846.Zhang F P,Peng J Y,Fan G H,et al.Mechanisms of blasting-induced rock fractures under different static stress and joint properties conditions[J].Rock and Soil Mechanics,2016,37(7):1 839-1 846.(in Chinese)
[13]Hu Y G,Lu W B,Chen M,et al.Numerical simulation of the complete rock blasting response by SPH-DAM-FEM approach[J].Simulation Modelling Practice and Theory,2015,56:55-68.
[14]Jayasinghe L B,Zhou H Y,Goh A T C,et al.Pile response subjected to rock blasting induced ground vibration near soil-rock interface[J].Computers and Geotechnics,2017,82:1-15.
[15]崔铁军,马云东,王来贵.基于PFC3D的露天矿边坡爆破过程模拟及稳定性研究[J].应用数学和力学,2014,35(7):759-767.Cui T J,Ma Y D,Wang L G.Simulation and stability study on blasting process of open-pit mine slope based on PFC3D[J].Applied Mathematics and Mechanics,2014,35(7):759-767.(in Chinese)
[16]曹攀,颜事龙,倪磊,等.基于UDEC岩体爆炸应力波衰减规律的研究术[J].爆破,2014,31(1):42-46.Cao P,Yan Sh L,Ni L,et al.Research on attenuation law of explosion stress wave in rock by UDECmodeling[J].Blasting,2014,31(1):42-46.(in Chinese)
[17]夏祥,李俊如,李海波,等.爆破荷载作用下岩体振动特征的数值模拟[J].岩土力学,2005,26(1):50-56.Xia X,Li J R,Li H B,et al.Numerical simulation of vibration characteristics of rock mass under blasting loading[J].Rock and Soil Mechanics,2005,26(1):50-56.(in Chinese)
[18]刘艳,许金余.地应力场下岩体爆体的数值模拟[J].岩土力学,2007,28(11):2 485-2 488.Liu Y,Xu J Y.Numerical simulation of explosion in rock mass under ground stress field[J].Rock and Soil Mechanies,2007,28(11):2 485-2 488.(in Chinese)
[19]程康.工程爆破理论基础[M].武汉:武汉理工大学出版社,2014:63-64.Cheng K.Theoretical foundation of engineering blasting[M].Wuhan:Wuhan University of Technology Press,2014:63-64.(in Chinese)
[20]张晋红.柱状药包在岩石中爆炸应力波衰减规律的研究[D].太原:中北大学,2005.Zhang J H.Study on the attenuation law of explosion stress wave in rock of cylinder charge[D].Taiyuan:North University of China,2005.(in Chinese)
[21]戴俊.爆破工程[M].北京:机械工业出版社,2015:123-125.Dai J.Blasting engineering[M].Beijing:China Machine Press,2015:123-125.(in Chinese)
[22]杜修力,廖维张,田志敏,等.炸药爆炸作用下地下结构的动力响应分析[J].爆炸与冲击,2006,26(5):474-480.Du X L,Liao W Zh,Tian Zh M,et al.Dynamic response analysis of underground structure under explosive[J].Explosion and Shock Waves,2006,26(5):474-480.(in Chinese)
[23]石崇,王盛年,刘琳.地震作用下陡岩崩塌颗粒离散元数值模拟研究[J].岩石力学与工程学报,2013,32(增1):2 798-2 805.Shi Ch,Wang Sh N,Liu L.Research of avalanche disaster numerical simulation based on granular discrete element method of high-steep slope under seismic loads[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(Sup 1):2 798-2 805.(in Chinese)
[24]Cundall P A,Strack O D L.A discrete numerical model for granular assemblies[J].Géotechnique,1979,29(1):47-65.
[25]戴俊.爆破工程[M].北京:机械工业出版社.2015:103-119.Dai J.Blasting engineering[M].Beijing:China Machine Press,2015:103-119.(in Chinese)
[2]Trivino L F,Mohanty B.Assessment of crack initiation and propagation in rock from explosion-induced stress waves and gas expansion by cross-hole seismometry and FEM-DEM method[J].International Journal of Rock Mechanics&Mining Sciences,2015,77:287-299.
[3]王发青.爆炸荷载下岩体破裂影响因素研究[J].化工设计通讯,2017,43(3):218-221.Wang F Q.Study on influencing factors of rock mass rupture under explosive load[J].Chemical Engineering Design Communications,2017,43(3):218-221.(in Chinese)
[4]Fakhimi A,Lanari M.DEM-SPH simulation of rock blasting[J].Computers and Geotechnics,2014,55:158-164.
[5]Li X,Zhang Q B,He L,et al.Particle-based numerical manifold method to model dynamic fracture process in rock blasting[J].International Journal of Geomechanics,2015,17(5):1-20.
[6]An H M,Liu H Y,Han H Y,et al.Hybrid finitediscrete element modelling of dynamic fracture and resultant fragment casting and muck-piling by rock blast[J].Computers and Geotechnics,2017,81:322-345.
[7]张永彬,廖志毅,王永辉,等.爆炸应力波作用下的孔壁岩石开裂数值模拟[J].东北大学学报(自然科学版),2015,36(增1):259-262.Zhang Y B,Liao Zh Y,Wang Y H,et al.Numerical simulation of rock borehole fracturing under stress wave[J].Journal of Northeastern University(Natural Science),2015,36(Sup 1):259-262.(in Chinese)
[8]Chen S H,Wu J,Zhang Z H.Blasting source equivalent load on elastic-plastic boundary for rock blasting[J].Journal of Engineering Mechanics,2017,143(7):1-7.
[9]Liu K W,Hao H,Li X B.Numerical analysis of the stability of abandoned cavities in bench blasting[J].International Journal of Rock Mechanics&Mining Sciences,2017,92:32-39.
[10]李超,刘红岩,阎锡东.动载下节理岩体破坏过程的数值试验研究[J].岩土力学,2015,36(增2):655-664.Li Ch,Liu H Y,Yan X D.Numerical experimental study on failure process of jointed rock mass under dynamic loading[J].Rock and Soil Mechanics,2015,36(Sup 2):655-664.(in Chinese)
[11]Zhu Z M.Numerical predictions of crater blasting and bench blasting[J].International Journal of Rock Mechanics and Mining Sciences,2009,46(6):1 088-1 096.
[12]张凤鹏,彭建宇,范光华,等.不同静应力和节理条件下岩体爆破破岩机制研究[J].岩土力学,2016,37(7):1 839-1 846.Zhang F P,Peng J Y,Fan G H,et al.Mechanisms of blasting-induced rock fractures under different static stress and joint properties conditions[J].Rock and Soil Mechanics,2016,37(7):1 839-1 846.(in Chinese)
[13]Hu Y G,Lu W B,Chen M,et al.Numerical simulation of the complete rock blasting response by SPH-DAM-FEM approach[J].Simulation Modelling Practice and Theory,2015,56:55-68.
[14]Jayasinghe L B,Zhou H Y,Goh A T C,et al.Pile response subjected to rock blasting induced ground vibration near soil-rock interface[J].Computers and Geotechnics,2017,82:1-15.
[15]崔铁军,马云东,王来贵.基于PFC3D的露天矿边坡爆破过程模拟及稳定性研究[J].应用数学和力学,2014,35(7):759-767.Cui T J,Ma Y D,Wang L G.Simulation and stability study on blasting process of open-pit mine slope based on PFC3D[J].Applied Mathematics and Mechanics,2014,35(7):759-767.(in Chinese)
[16]曹攀,颜事龙,倪磊,等.基于UDEC岩体爆炸应力波衰减规律的研究术[J].爆破,2014,31(1):42-46.Cao P,Yan Sh L,Ni L,et al.Research on attenuation law of explosion stress wave in rock by UDECmodeling[J].Blasting,2014,31(1):42-46.(in Chinese)
[17]夏祥,李俊如,李海波,等.爆破荷载作用下岩体振动特征的数值模拟[J].岩土力学,2005,26(1):50-56.Xia X,Li J R,Li H B,et al.Numerical simulation of vibration characteristics of rock mass under blasting loading[J].Rock and Soil Mechanics,2005,26(1):50-56.(in Chinese)
[18]刘艳,许金余.地应力场下岩体爆体的数值模拟[J].岩土力学,2007,28(11):2 485-2 488.Liu Y,Xu J Y.Numerical simulation of explosion in rock mass under ground stress field[J].Rock and Soil Mechanies,2007,28(11):2 485-2 488.(in Chinese)
[19]程康.工程爆破理论基础[M].武汉:武汉理工大学出版社,2014:63-64.Cheng K.Theoretical foundation of engineering blasting[M].Wuhan:Wuhan University of Technology Press,2014:63-64.(in Chinese)
[20]张晋红.柱状药包在岩石中爆炸应力波衰减规律的研究[D].太原:中北大学,2005.Zhang J H.Study on the attenuation law of explosion stress wave in rock of cylinder charge[D].Taiyuan:North University of China,2005.(in Chinese)
[21]戴俊.爆破工程[M].北京:机械工业出版社,2015:123-125.Dai J.Blasting engineering[M].Beijing:China Machine Press,2015:123-125.(in Chinese)
[22]杜修力,廖维张,田志敏,等.炸药爆炸作用下地下结构的动力响应分析[J].爆炸与冲击,2006,26(5):474-480.Du X L,Liao W Zh,Tian Zh M,et al.Dynamic response analysis of underground structure under explosive[J].Explosion and Shock Waves,2006,26(5):474-480.(in Chinese)
[23]石崇,王盛年,刘琳.地震作用下陡岩崩塌颗粒离散元数值模拟研究[J].岩石力学与工程学报,2013,32(增1):2 798-2 805.Shi Ch,Wang Sh N,Liu L.Research of avalanche disaster numerical simulation based on granular discrete element method of high-steep slope under seismic loads[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(Sup 1):2 798-2 805.(in Chinese)
[24]Cundall P A,Strack O D L.A discrete numerical model for granular assemblies[J].Géotechnique,1979,29(1):47-65.
[25]戴俊.爆破工程[M].北京:机械工业出版社.2015:103-119.Dai J.Blasting engineering[M].Beijing:China Machine Press,2015:103-119.(in Chinese)
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