基于加卸载响应比理论的矿柱动力稳定性分析
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摘要
利用有限差分程序FLAC建立连续和并排的两类非均质矿柱模型,对矿柱在动力载荷循环作用下的破坏过程进行全时程动力分析。将加卸载响应比(LURR)理论引入矿柱动力稳定性分析中,以施加的动力载荷对矿柱作用的周期性变化作为加载量,以矿柱特征点的位移变化和破坏单元的弹性应变能的演化规律作为响应参数,建立矿柱的加卸载响应比模型,确定矿柱在动力载荷作用期间的加卸载响应比时间序列。计算结果表明,矿柱整体上处于稳定状态和趋于失稳时,其加卸载响应比Y值表现出不同的特征,通过对Y值的分析对矿柱的稳定状态进行评价,预测是否临近峰值承载能力,表明在矿柱动力破裂过程数值模拟分析中引入加卸载响应比是矿柱破坏力学行为研究的一种方便而有效的方法。
By the finite difference software package fast lagrangian analysis of continua(FLAC),a time-relied analysis is carried out to study failure process of heterogeneous serial and parallel rock pillars under cyclic dynamic loading.The theory of loading-unloading response ratio(LURR) is introduced to analyze dynamic stability of pillar.A LURR model of pillar is established by studying the laws of loading-unloading response ratio of pillar under dynamic loading.Through analyzing on the failure process of pillar,the loading-unloading parameter is determined as the periodical variation of dynamic loading.The displacement of pillar key point and elastic strain energy evolution regularities of failure elements are selected as loading-unloading response parameters respectively.Thereafter,the LURR time series of pillar is determined during the period of dynamic loading.It is found that the parameter Y of LURR can measure unstable degree of pillar.It can be applied to evaluate the stable state or predict the peak strength of pillar effectively.The results show that the loading-unloading response ratio theory is a very effective nonlinear dynamic analysis method in the dynamic stability prediction of underground pillar.
By the finite difference software package fast lagrangian analysis of continua(FLAC),a time-relied analysis is carried out to study failure process of heterogeneous serial and parallel rock pillars under cyclic dynamic loading.The theory of loading-unloading response ratio(LURR) is introduced to analyze dynamic stability of pillar.A LURR model of pillar is established by studying the laws of loading-unloading response ratio of pillar under dynamic loading.Through analyzing on the failure process of pillar,the loading-unloading parameter is determined as the periodical variation of dynamic loading.The displacement of pillar key point and elastic strain energy evolution regularities of failure elements are selected as loading-unloading response parameters respectively.Thereafter,the LURR time series of pillar is determined during the period of dynamic loading.It is found that the parameter Y of LURR can measure unstable degree of pillar.It can be applied to evaluate the stable state or predict the peak strength of pillar effectively.The results show that the loading-unloading response ratio theory is a very effective nonlinear dynamic analysis method in the dynamic stability prediction of underground pillar.
引文
[1]WANG S Y,SLOAN S W,HUANG M L,et al.Numerical study of failure mechanism of serial and parallel rock pillars[J].Rock Mechanics and Rock Engineering,2011,44:179-198.
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[11]朱泽奇,肖培伟,盛谦,等.基于数字图像处理的非均质岩石材料破坏过程模拟[J].岩土力学,2011,22(12):3780-3786.ZHU Ze-qi,XIAO Pei-wei,SHENG Qian,et al.Numerical simulation of fracture propagation of heterogeneous rock material based on digital image processing[J].Rock and Soil Mechanics,2011,22(12):3780-3786.
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[2]王学滨.具有初始随机材料缺陷的矿柱渐进破坏模拟[J].中国矿业大学学报,2008,37(2):196-200.WANG Xu-hin.Numerical simulation of progressive failure in mine pillars having initially random material imperfections[J].Journal of China University of Mining&Technology,2008,37(2):196-200.
[3]尹祥础,陈学忠,宋治平,等.加卸载响应比:一种新的地震预报方法[J].地球物理学报,1994,37(6):767-775.YIN Xiang-chu,CHEN Xue-zhong,SONG Zhi-ping,et al.The load-unload response ratio theory:A new approach to earth quake prediction[J].Acta Geophysica Sinica,1994,37(6):767-775.
[4]YIN Xing-chu,YIN Can.The precursor of instability for nonlinear systems and its application to the earthquake predication[J].Science in China(B),1991,38(2):977986.
[5]施行觉,许和明,万永中,等.模拟引潮力作用下的岩石破裂特征——加卸载响应比理论的实验研究之一[J].地球物理学报,1994,37(5):633-637.SHI Xing-jue,XU He-ming,WAN Yong-zhong,et al.The characteristic of rock fracture under simulated tide force—Laboratory study on the theory of loading and unloading response ratio[J].Acta Geophysica Sinica,1994,37(5):633-637.
[6]贺可强,周敦云,王思敬.降雨型堆积层滑坡的加卸载响应比特征及其预测作用与意义[J].岩石力学与工程学报,2004,23(16):2665-2670.HE Ke-qiang,ZHOU Dun-yun,WANG Si-jing.Features of load-unload response ratio and its significance in predication of colluvial landslide induced by rainfall[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(16):2665-2670.
[7]姜彤,马莎,许兵,等.边坡在地震作用下的加卸载响应规律研究[J].岩石力学与工程学报,2004,23(22):3803-3807.JIANG Tong,MA Sha,XU Bing,et al.Study on laws of load-unload response of slope under seismic load[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(22):3803-3807.
[8]杨宇江,李艳,刘建坡,等.爆破作用下露天矿边坡动力稳定性[J].东北大学学报(自然科学版),2011,32(10):1472-1475.YANG Yu-jiang,LI Yan,LIU Jian-po,et al.Dynamic stability of open pit slope under blast loading[J].Journal of Northeastern University(Natural Science),2011,32(10):1472-1475.
[9]朱万成,左宇军,尚世明,等.动态扰动触发深部巷道发生失稳破裂的数值模拟[J].岩石力学与工程学报,2007,26(5):916-921.ZHU Wan-cheng,ZUO Yu-jun,SHANG Shi-ming,et al.Numerical simulation of instable failure of deep rock tunnel triggered by dynamic disturbance[J].Chinese Journal of Rock Mechanics and Engineering,2007,26(5):916-921.
[10]杨宇江,李元辉,尹国光,等.露天转地下开采境界矿柱安全厚度稳定性分析[J].东北大学学报(自然科学版),2011,32(7):1032-1040.YANG Yu-jiang,LI Yuan-hui,YIN Guo-guang,et al.Stability analysis of boundary pillars safety thickness for transition from open pit to underground mining[J].Journal of Northeastern University(Natural Science),2011,32(7):1032-1040.
[11]朱泽奇,肖培伟,盛谦,等.基于数字图像处理的非均质岩石材料破坏过程模拟[J].岩土力学,2011,22(12):3780-3786.ZHU Ze-qi,XIAO Pei-wei,SHENG Qian,et al.Numerical simulation of fracture propagation of heterogeneous rock material based on digital image processing[J].Rock and Soil Mechanics,2011,22(12):3780-3786.
[12]Itasca Consulting Group.FLAC3D(fast lagranginan analysis of continua in 3 dimensions)(version 3.0)[M].Minneapolis:Itasca Consulting Group,2005.
[13]王裕仓,尹样础,彭克银,等.加卸载响应比的数值模拟[J].地球物理学报,1999,42(5):669-675.WANG Yu-cang,YIN Xiang-chu,PENG Ke-yin,et al.Numerical simulation on load/unload response ratio theory[J].Chinese Journal of Geophysics,1999,42(5):669-675.
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