Modified model for ejection velocity of rock burst fragments based on binocular stereovision technology
HE Manchao1，2，REN Fuqiang1，2，GONG Weili1，2，HE Qinqin1
(1. State Key Laboratory for Geomechanics and Deep Underground Engineering，China University of Mining and Technology(Beijing)，Beijing 100083，China；2. School of Mechanics and Civil Engineering，China University of Mining and Technology(Beijing)，Beijing 100083，China)
Abstract：The aim of this paper is to provide a theoretical basis for rock burst failure prediction. The digital images of fragments ejection were captured by two high-speed cameras during the tests on granite rock burst. The binocular stereovision technology was used to obtain three-dimensional(3D) coordinates and volumes of fragments. Two key parameters were utilized to calculate the ejection velocities of fragments. The theoretical model calculating the ejection velocity was modified according to the measured values. It was found that the stress attenuation constant b obeyed the normal distribution，with the mean and variance 1.53×104 and 4.83×107 respectively. The modified formula have one unknown variable less than the unmodified model. That is to say，if the mass of fragments and static stress state at burst point are known，the statistical distribution of ejection velocity can be obtained. The mass of most of the ejected fragments is less than 0.25 gram. The statistical result shows that the kinetic energy of fragments，with length l＜20 mm，is dominant(more than 86%).
何满潮1，2，任富强1，2，宫伟力1，2，何琴琴1. 基于双目立体视觉技术的岩爆碎屑弹射速度理论修正模型[J]. 岩石力学与工程学报, 2017, 36(10): 2341-2349.
HE Manchao1，2，REN Fuqiang1，2，GONG Weili1，2，HE Qinqin1. Modified model for ejection velocity of rock burst fragments based on binocular stereovision technology. , 2017, 36(10): 2341-2349.
[1] HOEK E，KAISER P K，BAWDEB W F. Support of underground excavations in hard rock[M]. Netherlands：CRC Press，2000：9–19.
[2] MANOUCHEHRIAN A，CAI M. Simulation of unstable rock failure under unloading conditions[J]. Canadian Geotechnical Journal，2015，53(1)：22–34.
[3] HE M C，MIAO J L，FENG J L. Rock burst process of limestone and its acoustic emission characteristics under true-triaxial unloading conditions[J]. International Journal of Rock Mechanics and Mining Sciences，2010，47(2)：286–298.
[4] HUANG R Q，WANG X N，CHAN L S. Triaxial unloading test of rocks and its implication for rock burst[J]. Bulletin of Engineering Geology and the Environment，2001，60(1)：37–41.
[5] WANG J A，PARK H D. Comprehensive prediction of rockburst based on analysis of strain energy in rocks[J]. Tunnelling and Underground Space Technology Incorporating Trenchless Technology Research，2001，16(1)：49–57.
[6] 谭以安. 岩爆岩石断口扫描电镜分析及岩爆渐进破坏过程[J]. 电机显微镜学报，1989，(2)：41–48.(TAN Yi?an. Analysis of fractured face of rockburst with scanning electron microscope and its progressive failure process[J]. Journal of Chinese Electron Microscopy Society，1989，(2)：41–48.(in Chinese))
[7] HE M C，XIA H M，JIA X N，et al. Studies on classification，criteria and control of rockbursts[J]. Journal of Rock Mechanics and Geotechnical Engineering，2012，4(2)：97–114.
[8] HE M C，ZHAO F，DU S，et al. Rockburst characteristics based on experimental tests under different unloading rates[J]. Rock and Soil Mechanics，2014，35(10)：2 737–2 747.
[9] HE M C，NIE W，GUO W. Experimental investigation of bedding plane orientation on the rockburst behavior of sandstone[J]. Rock Mechanics and Rock Engineering，2012，45(3)：311–326.
[10] GONG Y X，SONG Z J，HE M C，et al. Precursory waves and eigenfrequencies identified from acoustic emission data based on Singular Spectrum Analysis and laboratory rock-burst experiments[J]. International Journal of Rock Mechanics and Mining Sciences，2017，91(2)：155–169.
[11] GONG W L，PENG Y Y，WANG H，et al. Fracture angle analysis of rock burst faulting planes based on true-triaxial experiment[J]. Rock Mechanics and Rock Engineering，2014，48(3)：1 017–1 039.
[12] ZUO Y J，LI X B，ZHOU Z L. Determination of ejection velocity of rock fragments during rock burst in consideration of damage[J]. Journal of Central South University of Technology，2005，12(5)：618–622.
[13] 谭以安. 岩爆烈度分级问题[J]. 地址论评，1992，38(5)：439–443.(TAN Yi?an. A new classification of rockburst intensity[J]. Geological Review，1992，38(5)：439–443.(in Chinese))
[14] 宫伟力，汪 虎，何满潮，等. 深部开采中岩爆岩块弹射速度的理论与试验[J]. 煤炭学报，2015，40(10)：2 269–2 278.(GONG Weili，WANG Hu，HE Manchao，et al. Theoretical and experimental study on rock block ejection velocity for rock burst found in deep mining[J]. Journal of China Coal Society，2015，40(10)：2 269–2 278.(in Chinese))
[15] 隋 婧，金伟其. 双目立体视觉技术的实现及其进展[J]. 电子技术应用，2004，30(10)：4–6.(SUI Jing，JIN Weiqi. The realization of binocular stereo-vision technology and its progress[J]. Electronic Technique Application，2004，30(10)：4–6.(in Chinese))
[16] 闵新力，万德安，张 剑. CCD双目视觉测量系统结构参数设置的理论研究[J]. 机械设计与制造，2001，(3)：54–56.(MING Xinli，WANG De?an，ZHANG Jian. Theoretical study on structure parameters setup of CCD binocular vision measurement system[J]. Machinery Design and Manufacture，2001，(3)：54–56.(in Chinese))
[17] 王建华，韩红艳，王春平，等. CCD双目立体视觉测量系统的理论研究[J]. 电光与控制，2007，14(4)：94–96.(WANG Jianhua，HAN Hongyan，WANG Chunping，et al. Theoretic research on double-CCD stereoscopic measurement system[J]. Electronics Optics and Control，2007，14(4)：94–96.(in Chinese))
[18] 张 辉，张丽艳，陈 江，等. 基于平面模板自由拍摄的双目立体测量系统的现场标定[J]. 航空学报，2007，28(3)：695–701.(ZHANG Hui，ZHANG Liyan，CHEN Jiang，et al. Field calibration of binocular stereo system based on planar template and free snapping[J]. Acta Aeronautica ET Astronautica Ainica，2007，28(3)：695–701.(in Chinese))
[19] 祝 琨，杨唐文，阮秋琦，等. 基于双目视觉的运动物体实时跟踪与测距[J]. 机器人，2009，31(4)：327–334.(ZHU Kun，YANG Tangwen，RUAN Qiuqi，et al. Real-time tracking and measuring of moving objects based on binocular vision[J]. Robot，2009，31(4)：327–334.(in Chinese))
[20] 王新然. 基于计算机视觉的物体体积测量系统[硕士学位论文][D]. 大连：大连理工大学，2012.(WANG Xinran. Object volume measurement system based on computer vision[M. S. Thesis][D]. Dalian：Dalian University of Technology，2012.(in Chinese))
[21] 何满潮，苗金丽，李德建，等. 深部花岗岩试样岩爆过程试验研究[J]. 岩石力学与工程学报，2007，26(5)：865–876.(HE Manchao，MIAO Jinli，LI Dejian，et al. Experimental study on rockburst processes of granite specimen at great depth[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(5)：865–876.(in Chinese))
[22] 邱道尹，张文静，顾 波，等. 帧差法在运动目标实时跟踪中的应用[J]. 华北水利水电大学学报：自然科学版，2009，30(3)：45–46.(QIU Daoyin，ZHANG Wenjiang，GU Bo，et al. Appllication of frame difference methods in real-time moving target tracking[J]. Journal of North China Institute of Water Conservancy and Hydroelectric Power：Natural Science，2009，30(3)：45–46.(in Chinese))
[23] 杨 敏，沈春林. 基于对极几何约束的景象匹配研究[J]. 南京航空航天大学学报，2004，36(2)：235–239.(YANG Min，SHEN Chunlin. A view matching study based on polar geometry constraints[J]. Journal of Nanjing University of Aeronautics and Astronautics，2004，36(2)：235–239.(in Chinese))
2017, Vol. 36 
