(1. State Key Laboratory of Hydraulics and Mountain River Engineering，Sichuan University，Chengdu，Sichuan 610065，China；
2. College of Water Resource and Hydropower，Sichuan University，Chengdu，Sichuan 610065，China；3. Zhejiang Guangchuan Engineering Consulting Co.，Ltd.，Hangzhou，Zhejiang 310020，China)
Abstract：The strict grading requirements of rockfill materials in hydropower engineering cause the difficulty to predict the fragmentation distribution. The statistical results of primary joints and the simulation on blasting cracks were employed together with the field investigation，indoor experiment，numerical simulation and engineering test to investigate preliminarily the blasting fragmentation distribution of rockfill materials. A set of fragment-size prediction methods were established. Firstly，the distribution network of natural joints of the study area was drawn through field investigation，and a three-dimensional jointed rock mass model based on the statistical results of primary joints was established. Then，the dynamic parameters of the rocks under the impact load were obtained with SHPB test device，and the extension ranges of blasting cracks were simulated with Ansys/Ls-Dyna. A three-dimensional jointed rock mass model after blasting in the investigation area was established considering comprehensively the information of primary joints and simulation results of blasting cracks. The output data of line-area-volume from the three-dimensional jointed rock model were used for block calculation with Matlab. The fifth longest side of rock blocks was taken as a fragmentation prediction index，and finally the predicted grading curve was obtained. Engineering application shows that the gradation prediction method is in line with the engineering practice. The overall prediction error is 5.5% in Jiang Tsui quarry which is much better than that of index based on diameters of equal volume sphere.
吴发名1，2，刘勇林3，李洪涛1，2，姚 强1，2. 基于原生节理统计和爆破裂纹模拟的堆石料块度分布预测[J]. 岩石力学与工程学报, 2017, 36(6): 1341-1352.
WU Faming1，2，LIU Yonglin3，LI Hongtao1，2，YAO Qiang1，2. Fragmentation distribution prediction of rockfill materials based on statistical results of primary joints and simulation of blasting cracks. , 2017, 36(6): 1341-1352.
[1] 雷光伟，杨春和，王贵宾，等. 北山预选区新场地段岩体节理几何特征及评价[J]. 岩石力学与工程学报，2016，35(5)：896–905.(LEI Guangwei，YANG Chunhe，WANG Guibin，et al. Geometric features of joints and quality evaluation of rock mass in Xinchang section，Beishan[J]. Chinese Journal of Rock Mechanics and Engineering，2016，35(5)：896–905.(in Chinese))
[2] 张继春，钮 强，徐小荷. 岩体爆破块度预测模型研究综述[J]. 爆破，1992，(4)：63–69.(ZHANG Jichun，NIU Qiang，XU Xiaohe. Summary of fragment-size predicting model in rock mass blasting[J]. Blasting，1992，(4)：63–69.(in Chinese))
[3] 肖富国，李启月，李夕兵，等. 节理岩体爆破块度预测模型综述[J]. 矿业研究与开发，2001，21(2)：42–44.(XIAO Fuguo，LI Qiyue，LI Xibing，et al. A review of prediction models for blasting fragmentation of jointed rockmass[J]. Mining Research and Development，2001，21(2)：42–44.(in Chinese))
[4] CUNNINGHAM C V B. Fragmentation estimations and the Kuz-Ram model-Four years on[C]// Proceedings of the 2nd International Symposium on Rock Fragmentation by Blasting. Keystone：[s.n.]，1987：475–487.
[5] 王民寿，蒋晓明，隆文非. 修正KUZ-RAM数模预报爆破堆石料块度[J]. 四川水力发电，1999，18(4)：77–80.(WANG Minshou，JIANG Xiaoming，LONG Wenfei. Predication of rockfill material size after blasting by revised KUZ-RAM mathematical model[J]. Sichuan Water Power，1999，18(4)：77–80.(in Chinese))
[6] 刘家平，刘定华，石 伟. Kuz-Ram模型在面板坝堆石料爆破开采中的应用[J]. 湖北水力发电，2006，(2)：40–43.(LIU Jiaping，LIU Dinghua，SHI Wei. Application of model Kuz-Ram to blast exploiting rock materials for CFRD[J]. Hubei Water Power，2006，(2)：40–43.(in Chinese))
[7] 祝文化，朱瑞赓，夏元友. 爆破块度预测的神经网络方法研究[J]. 武汉理工大学学报，2001，23(1)：60–62.(ZHU Wenhua，ZHU Ruigen，XIA Yuanyou. Researches on the neural network method of rock fragmentation prediction by blasting[J]. Journal of Wuhan University of Technology，2001，23(1)：60–62.(in Chinese))
[8] 汪学清，单仁亮. 人工神经网络在爆破块度预测中的应用研究[J]. 岩土力学，2008，29(增)：529–532.(WANG Xueqing，SHAN Renliang. Application of on artificial neural networks to blasting fragment prediction[J]. Rock and Soil Mechanics，2008，29(Supp.)：529–532.(in Chinese))
[9] 王 利，高 谦. 基于损伤能量耗散的岩体块度分布预测[J]. 岩石力学与工程学报，2007，26(6)：1 202–1 211.(WANG Li，GAO Qian. Fragmentation distribution prediction of rock based on damage energy dissipation[J]. Chinese Journal of Rock Mechanics and Engineering，2007，26(6)：1 202–1 211.(in Chinese))
[10] 蔡建德，郑炳旭，汪旭光，等. 多种规格石料开采块度预测与爆破控制技术研究[J]. 岩石力学与工程学报，2012，31(7)：1 462–1 468. (CAI Jiande，ZHENG Bingxu，WANG Xuguang，et al. Research on blasting control technique and block size prediction of different dimensions stones[J]. Chinese Journal of Rock Mechanics and Engineering，2012，31(7)：1 462–1 468.(in Chinese))
[11] 冯兴隆，王李管，毕 林，等. 矿石崩落块度的三维建模技术及块度预测[J]. 岩土力学，2009，30(6)：1 826–1 830.(FENG Xinglong，WANG Liguan，BI Lin，et al. Three-dimensional modeling technology and fragmentation prediction for ore-caved fragmentation[J]. Rock and Soil Mechanics，2009，30(6)：1 826–1 830.(in Chinese))
[12] FENG X L，WANG L G，JING Y B，et al. A new method of block shape classification[J]. Science China Technological Sciences，2011，54(1)：110–115.
[13] 李 莉，王洪江，王贻明. 岩体裂隙结构表征方法的探讨[J]. 金属矿山，2011，(6)：1–5.(LI Li，WANG Hongjiang，WANG Yiming. Discussion on description methods of rock fracture structure[J]. Metal Mine，2011，(6)：1–5.(in Chinese))
[14] 赵兴东，刘 杰，张洪训，等. 基于摄影测量的岩体结构面数字识别及采场稳定性分析[J]. 采矿与安全工程学报，2014，31(1)：127–133.(ZHAO Xingdong，LIU Jie，ZHANG Hongxun，et al. Rockmass structural plane digital recognition and stope stability classification based on the photographic surveying method[J]. Journal of Mining and Safety Engineering，2014，31(1)：127–133.(in Chinese))
[15] 蔡美峰. 岩石力学与工程[M]. 北京：科学出版社，2002：12–13.(CAI Meifeng. Rock mechanics and engineering[M]. Beijing：Science Press，2002：12–13.(in Chinese))
[16] 黄理兴，陈奕柏. 我国岩石动力学研究状况与发展[J]. 岩石力学与工程学报，2003，22(11)：1 881–1 886.(HUANG Lixing，CHEN Yibai. Rock dynamics in china：past，present and future[J]. Chinese Journal of Rock Mechanics and Engineering，2003，22(11)：1 881–1 886. (in Chinese))
[17] 郭连军，杨跃辉，华悦含，等. 冲击荷载作用下花岗岩动力特性试验分析[J]. 工程爆破，2014，20(1)：1–4.(GUO Lianjun，YANG Yuehui，HUA Yuehan，et al. Experimental study of dynamic characteristics of granite under impact loading[J]. Engineering Blasting，2014，20(1)：1–4.(in Chinese))
[18] 王 斌，李夕兵，尹土兵，等. 饱水砂岩动态强度的SHPB试验研究[J]. 岩石力学与工程学报，2010，29(5)：1 003–1 009.(WANG Bin，LI Xibing，YIN Tubing，et al. Split Hopkinson pressure bar(SHPB) experiments on dynamic strength of water-saturated sandstone[J]. Chinese Journal of Rock Mechanics and Engineering，2010，29(5)：1 003–1 009.(in Chinese))
[19] 李洪涛，王志强，姚 强，等. 石英云母片岩动力学特性实验及爆破裂纹扩展研究[J]. 岩石力学与工程学报，2015，34(10)：2 125–2 141. (LI Hongtao，WANG Zhiqiang，YAO Qiang，et al. Study of dynamic characteristics and blasting crack propagation of quartz mica schist[J]. Chinese Journal of Rock Mechanics and Engineering，2015，34(10)：2 125–2 141.(in Chinese))
[20] 宫凤强，李夕兵，饶秋华，等. 岩石SHPB 试验中确定试样尺寸的参考方法[J]. 振动与冲击，2013，32(17)：24–28.(GONG Fengqiang，LI Xibing，RAO Qiuhua，et al. Reference method for determining sample size in SHPB tests of rock materials[J]. Journal of Vibration and Shock，2013，32(17)：24–28.(in Chinese))
[21] 姜鹏飞，唐德高，龙 源. 不耦合装药爆破对硬岩应力场影响的数值分析[J]. 岩土力学，2009，30(1)：275–279.(JIANG Pengfei，TANG Degao，LONG Yuan. Numerical analysis of influence of uncoupled explosive-charge structure on stress field in hard rocks[J]. Rock and Soil Mechanics，2009，30(1)：275–279.(in Chinese))
[22] 刘优平，龚 敏，黄刚海. 深孔爆破装药结构优选数值分析方法及其应用[J]. 岩土力学，2012，33(6)：1 883–1 888.(LIU Youping，GONG Min，HUANG Ganghai. Numerical analysis method for optimizing charging structure of deep-hole blasting and its application[J]. Rock and Soil Mechanics，2012，33(6)：1 883–1 888.(in Chinese))
[23] 申祖武，龚 敏，王天运，等. 爆炸冲击波作用下建筑结构动力特性的数值模拟与试验[J]. 武汉理工大学学报，2009，31(2)：104–106.(SHEN Zuwu，GONG Min，WANG Tianyun，et al. Numerical simulation and experimental study on dynamic response of the buildings structure under blast shock wave[J]. Journal of Wuhan University of Technology，2009，31(2)：104–106.(in Chinese))
[24] HAGAN T N. Rock breakage by explosives[J]. Acta Astronautica，1979，6(3–4)：329–340.
[25] 夏 祥. 爆炸荷载作用下岩体损伤特征及安全阈值研究[博士学位论文][D]. 武汉：中国科学院武汉岩土力学研究所，2006.(XIA Xiang. Study on damage characteristics and safety threshold of rock vibration by blast[Ph. D. Thesis][D]. Wuhan：Institute of Rock and Soil Mechanics，Chinese Academy of Sciences，2006.(in Chinese))
[26] 戴 俊. 岩石动力学特性与爆破理论[M]. 北京：冶金工业出版社， 2002：123–126.(DAI Jun. Dynamic behaviors and blasting theory of rock[M]. Beijing：Metallurgical Industry Press，2002：123–126.(in Chinese))
[27] 李夕兵，古德生. 岩石冲击动力学[M]. 长沙：中南工业大学出版社，1994：44–50.(LI Xibing，GU Desheng. Rock impact dynamics[M]. Changsha：Central South University of Technology Press，1994：44–50.(in Chinese))
[28] TORBICA S，LAPCEVIC V. Rock breakage by explosives[J]. European International Journal of Science and Technology，2014，6(3–4)：96–104.
[29] 冷振东，卢文波，陈 明，等. 岩石钻孔爆破粉碎区计算模型的改进[J]. 爆炸与冲击，2015，35(1)：101–107.(LENG Zhendong，LU Wenbo，CHEN Ming，et al. Improved calculation model for the size of crushed zone around blasthole[J]. Explosion and Shock Waves，2015，35(1)：101–107.(in Chinese))
[30] 陈鹏辉，雷 涛. 基于ALE算法的单孔台阶爆破数值模拟研究[J]. 有色金属：矿山部分，2016，68(1)：72–76.(CHEN Penghui，LEI Tao. Numerical simulation of single hole bench blasting based on ALE method[J]. Nonferrous Metals：Mining Section，2016，68(1)：72–76.(in Chinese))
[31] 张继春. 岩体爆破的块度理论及其应用[M]. 成都：西南交通大学出版社，2001：86–94.(ZHANG Jichun. Fragment-size theory of blasting in rock mass and its application[M]. Chengdu：Southwest Jiaotong University Press，2001：86–94.(in Chinese))
[32] 齐金铎. 岩石破碎块度特性及计算方法[J]. 中国矿业，1995，4(1)：34–37.(QI Jinduo. Characteristics of rock fragment size and routine calculation[J]. China Mining Magazine，1995，4(1)：34–37.(in Chinese))
2017, Vol. 36 
