岩体中软弱夹层影响爆炸波传播规律的数值分析
|
摘要
为了模拟岩体中软弱夹层对爆炸波传播衰减的影响,在块体离散元的基础上改进了数值计算方法(包括基本方程、求解步骤、能量耗散等效模式),使其适合模拟爆源的特点、岩体中软弱夹层的性质以及应力波的传播衰减规律.用该方法建立了含软弱夹层岩体和爆源的数值模型,对岩体中软弱夹层影响爆炸波的传播衰减规律进行了数值试验.结果表明:软弱夹层前后爆炸波的振动速度峰值差别很大,存在量级上的差别;软弱夹层与爆源的距离对应力波衰减的影响很大,而夹层厚度影响较小;在两组软弱夹层之间的质点振动持续时间明显延长.数值模拟不仅给出了爆炸波经过软弱夹层的透反射关系,而且描述了不同情况下质点振动的基本形式,可为实际工程提供参考.
In order to simulate the influence of the weak interlayer in rock mass on the propagation attenuation of blast wave,the numerical calculating method including the basic equations, solution procedures and equivalent modes of energy dissipation was improved on the basis of block discrete element. The improved method will fit to simulate the characteristics of explosion source,properties of weak interlayer in rock mass and propagation attenuation rule of stress wave. The numerical models of both rock mass containing weak interlayer and explosion source were established with the improved method. And the numerical tests were carried out for the influence of the weak interlayer in rock mass on the propagation attenuation of blast wave. The results show that the difference in vibration velocity peak on both sides of weak interlayer is considerably great. The distance between the weak interlayer and explosion source has the large influence on the attenuation of stress wave,while the thickness of weak interlayer has a little influence on it. In addition,the duration of particle vibration between two group of weak interlayers becomes longer significantly. The numerical simulation not only gives the transmission and reflection relationship of blast wave passing through weak interlayer,but also represents the basic forms of particle vibration in different cases,which may provide a reference for practical engineering.
In order to simulate the influence of the weak interlayer in rock mass on the propagation attenuation of blast wave,the numerical calculating method including the basic equations, solution procedures and equivalent modes of energy dissipation was improved on the basis of block discrete element. The improved method will fit to simulate the characteristics of explosion source,properties of weak interlayer in rock mass and propagation attenuation rule of stress wave. The numerical models of both rock mass containing weak interlayer and explosion source were established with the improved method. And the numerical tests were carried out for the influence of the weak interlayer in rock mass on the propagation attenuation of blast wave. The results show that the difference in vibration velocity peak on both sides of weak interlayer is considerably great. The distance between the weak interlayer and explosion source has the large influence on the attenuation of stress wave,while the thickness of weak interlayer has a little influence on it. In addition,the duration of particle vibration between two group of weak interlayers becomes longer significantly. The numerical simulation not only gives the transmission and reflection relationship of blast wave passing through weak interlayer,but also represents the basic forms of particle vibration in different cases,which may provide a reference for practical engineering.
引文
[1]孙广忠.岩体结构力学[M].北京:科学出版社,1988:80-120.(SUN Guang-zhong.Structural mechanics of rock mass[M].Beijing:Science Press,1988:80-120.)
[2]Persson P A,Holmberg R,Lee J.Rock blasting and explosives engineering[M].London:CRC Press,1992:256-259.
[3]许宝田,阎长虹,陈汉永,等.边坡岩体软弱夹层力学特性试验研究[J].岩土力学,2008,29(11):3077-3081.(XU Bao-tian,YAN Chang-hong,CHEN Han-yong,et al.Experimental study of mechanical property of weak intercalated layers in slope rock mass[J].Rock and Soil Mechanics,2008,29(11):3077-3081.)
[4]张志强,李宁,陈方方,等.不同分布距离的软弱夹层对洞室稳定性的影响研究[J].岩土力学,2007,28(7):1364-1368.(ZHANG Zhi-qiang,LI Ning,CHEN Fang-fang,et al.A study of influence of weak interlayers distribu-ted at different intervals on opening stability[J].Rock and Soil Mechanics,2007,28(7):1364-1368.)
[5]范留明,李宁.软弱夹层的透射模型及其隔震特性研究[J].岩石力学与工程学报,2005,24(14):2456-2462.(FAN Liu-ming,LI Ning.Transmission modle of weak intercalation and its vibration isolation properties[J].Chinese Journal of Rock Mechanics and Engi-neering,2005,24(14):2456-2462.)
[6]Erlingsson S,Bodare A.Vertical S waves in soil stra-tum over halfspace[J].Soil Dynamics and Earth-quake Engineering,1992,11(7):427-434.
[7]黄润秋,余嘉顺.软弱夹层特性对地震波强度影响的模拟研究[J].工程地质学报,2003,11(3):313-317.(HUANG Run-qiu,YU Jia-shun.Modelling of the effects of properites of a buried weaklayer on seismic waves[J].Journal of Engineering Geology,2003,11(3):313-317.)
[8]田振农,李世海.三维块体离散元可变形计算方法研究[J].岩石力学与工程学报,2008,27(增刊1):2832-2840.(TIAN Zhen-nong,LI Shi-hai.The study of deform-able calculation method on base of the three-dimen-sional block discrete element method[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(Sup1):2832-2840.)
[9]田振农,李世海.三维离散元不同尺度结构面计算方法及其在岩土爆破中的应用[J].岩石力学与工程学报,2007,26(增刊1):3009-3016.(TIAN Zhen-nong,LI Shi-hai.Numerical method of different scale constructional surface DEM and appli-carion of blasting in rock and soil[J].Chinese Jour-nal of Rock Mechanics and Engineering,2007,26(Sup1):3009-3016.)
[10]王自强,陈少华.高等断裂力学[M].北京:科学出版社,2009:26-30.(WANG Zhi-qiang,CHEN Shao-hua.Advanced frac-ture mechanics[M].Beijing:Science Press,2009:26-30.)
[11]张学言,闫澍旺.岩土塑性力学基础[M].天津:天津大学出版社,2003:216-221.(ZHANG Xue-yan,YAN Shu-wang.Fundamentals of geotechnics plasticity mechanics[M].Tianjin:Tianjin University Press,2003:216-221.)
[12]Yang R L,Rocque P.Blast damage study by measure-ment of blast vibration and damage in the area adja-cent to a blast hole[C]//Proceedings of4th Interna-tional Symposium on Rock Fragmentation by Blas-ting.Vienna,Austria,1993.
[13]田振农,李世海,肖南,等.应力波在一维节理岩体中传播规律的试验研究与数值模拟[J].岩石力学与工程学报,2008,27(增刊1):2687-2693.(TIAN Zhen-nong,LI Shi-hai,XIAO Nan,et al.Ex-perimental studies and numerical simulation of stress wave propagation in the one-dimensional rockmass[J].Chinese Journal of Rock Mechanics and Engi-neering,2008,27(Sup1):2687-2693.)
[2]Persson P A,Holmberg R,Lee J.Rock blasting and explosives engineering[M].London:CRC Press,1992:256-259.
[3]许宝田,阎长虹,陈汉永,等.边坡岩体软弱夹层力学特性试验研究[J].岩土力学,2008,29(11):3077-3081.(XU Bao-tian,YAN Chang-hong,CHEN Han-yong,et al.Experimental study of mechanical property of weak intercalated layers in slope rock mass[J].Rock and Soil Mechanics,2008,29(11):3077-3081.)
[4]张志强,李宁,陈方方,等.不同分布距离的软弱夹层对洞室稳定性的影响研究[J].岩土力学,2007,28(7):1364-1368.(ZHANG Zhi-qiang,LI Ning,CHEN Fang-fang,et al.A study of influence of weak interlayers distribu-ted at different intervals on opening stability[J].Rock and Soil Mechanics,2007,28(7):1364-1368.)
[5]范留明,李宁.软弱夹层的透射模型及其隔震特性研究[J].岩石力学与工程学报,2005,24(14):2456-2462.(FAN Liu-ming,LI Ning.Transmission modle of weak intercalation and its vibration isolation properties[J].Chinese Journal of Rock Mechanics and Engi-neering,2005,24(14):2456-2462.)
[6]Erlingsson S,Bodare A.Vertical S waves in soil stra-tum over halfspace[J].Soil Dynamics and Earth-quake Engineering,1992,11(7):427-434.
[7]黄润秋,余嘉顺.软弱夹层特性对地震波强度影响的模拟研究[J].工程地质学报,2003,11(3):313-317.(HUANG Run-qiu,YU Jia-shun.Modelling of the effects of properites of a buried weaklayer on seismic waves[J].Journal of Engineering Geology,2003,11(3):313-317.)
[8]田振农,李世海.三维块体离散元可变形计算方法研究[J].岩石力学与工程学报,2008,27(增刊1):2832-2840.(TIAN Zhen-nong,LI Shi-hai.The study of deform-able calculation method on base of the three-dimen-sional block discrete element method[J].Chinese Journal of Rock Mechanics and Engineering,2008,27(Sup1):2832-2840.)
[9]田振农,李世海.三维离散元不同尺度结构面计算方法及其在岩土爆破中的应用[J].岩石力学与工程学报,2007,26(增刊1):3009-3016.(TIAN Zhen-nong,LI Shi-hai.Numerical method of different scale constructional surface DEM and appli-carion of blasting in rock and soil[J].Chinese Jour-nal of Rock Mechanics and Engineering,2007,26(Sup1):3009-3016.)
[10]王自强,陈少华.高等断裂力学[M].北京:科学出版社,2009:26-30.(WANG Zhi-qiang,CHEN Shao-hua.Advanced frac-ture mechanics[M].Beijing:Science Press,2009:26-30.)
[11]张学言,闫澍旺.岩土塑性力学基础[M].天津:天津大学出版社,2003:216-221.(ZHANG Xue-yan,YAN Shu-wang.Fundamentals of geotechnics plasticity mechanics[M].Tianjin:Tianjin University Press,2003:216-221.)
[12]Yang R L,Rocque P.Blast damage study by measure-ment of blast vibration and damage in the area adja-cent to a blast hole[C]//Proceedings of4th Interna-tional Symposium on Rock Fragmentation by Blas-ting.Vienna,Austria,1993.
[13]田振农,李世海,肖南,等.应力波在一维节理岩体中传播规律的试验研究与数值模拟[J].岩石力学与工程学报,2008,27(增刊1):2687-2693.(TIAN Zhen-nong,LI Shi-hai,XIAO Nan,et al.Ex-perimental studies and numerical simulation of stress wave propagation in the one-dimensional rockmass[J].Chinese Journal of Rock Mechanics and Engi-neering,2008,27(Sup1):2687-2693.)
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心