Equivalent modeling of energy dissipation in impact and rock blasting fragmentation of frozen sandstone
ZHANG Shuoyan1,2,3,JIANG Nan2,3,YAO Yingkang2,3,ZHOU Chuanbo1,#br#
LUO Xuedong1,CAO Huazhang1
(1. Faculty of Engineering,China University of Geosciences(Wuhan),Wuhan,Hubei 430074,China;2. State Key Laboratory of Precision Blasting,Jianghan University,Wuhan,Hubei 430056,China;3. Hubei Key
Laboratory of Blasting Engineering,Jianghan University,Wuhan,Hubei 430056,China)
Abstract:In order to investigate the blastability of frozen rock in the cold region blasting project,SHPB impact tests were conducted on frozen sandstone with different moisture contents. In addition,combined with the energy distribution of columnar explosives,the characteristics of frozen sandstone impact and blasting rock -breaking energy dissipation characteristics were studied. Based on this,the unit consumption model of explosive in frozen sandstone blasting was proposed,and the numerical simulation method was used to further modify the model. The results show that:(1) as the moisture content increases,the degree of damage to the sandstone specimens gradually increases;at the same moisture content,the degree of damage to the frozen sandstone specimens is weaker than that of the normal temperature sandstone specimens. (2) As the moisture content increases,the dissipated energy of normal temperature and frozen sandstone specimens gradually decreases;at the same moisture content,the impact dissipated energy of the frozen sandstone is higher than that of the normal temperature. When the moisture content is 0w,0.25w,0.50w,0.75w and 1.00w,the increase of dissipated energy is about 21.6%,64.9%,80.3%,78.2%,and 83.3% respectively. (3) The fitting equation of unit explosive consumption and moisture content of sandstone is obtained by equivalent calculation of the impact rock breaking energy of sandstone and the blasting rock breaking energy of columnar emulsion explosive. (4) Based on the simulation results of blasting crater test,the cubic root similarity law was used to correct the unit explosive consumption and a modified unit explosive consumption model of sandstone blasting is obtained.
张硕彦1,2,3,蒋 楠2,3,姚颖康2,3,周传波1,罗学东1,曹华彰1. 冻结砂岩冲击及爆破破岩能量耗散等效模型研究[J]. 岩石力学与工程学报, 2024, 43(5): 1255-1269.
ZHANG Shuoyan1,2,3,JIANG Nan2,3,YAO Yingkang2,3,ZHOU Chuanbo1,. Equivalent modeling of energy dissipation in impact and rock blasting fragmentation of frozen sandstone. , 2024, 43(5): 1255-1269.
[1] 杨更社,吕晓涛. 富水基岩井筒冻结壁砂质泥岩力学特性试验研究[J]. 采矿与安全工程学报,2012,29(4):492–496.(YANG Gengshe,LV Xiaotao. Experimental study on the sandy mudstone mechanical properties of shaft sidewalls under the frozen conditions[J]. Journal of Mining and Safety Engineering,2012,29(4):492–496. (in Chinese))
[2] 李云鹏,王芝银. 岩石低温单轴压缩力学特性[J]. 北京科技大学学报,2011,33(6):671–675.(LI Yunpeng,WANG Zhiyin. Uniaxial compressive mechanical properties of rock at low temperature[J]. Journal of University of Science and Technology Beijing,2011,33(6):671–675.(in Chinese))
[3] 唐明明,王芝银,孙毅力,等. 低温条件下花岗岩力学特性试验研究[J]. 岩石力学与工程学报,2010,29(4):787–794.(TANG Mingming,WANG Zhiyin,SUN Yili,et al. Experimental study of mechanical properties of granite under low temperature[J]. Chinese Journal of Rock Mechanics and Engineering,2010,29(4):787–794. (in Chinese))
[4] PARK C,SYNN J,SHIN H,et al. Experimental study on the thermal characteristics of rock at low temperatures[J]. International Journal of Rock Mechanics and Mining Sciences,2004,41:81–86.
[5] INADA Y,YOKATA K. Some studies of low temperature rock strength[J]. International Journal of Rock Mechanics and Mining Sciences,1984,21(3):145–153.
[6] AOKI K,HIBIYA K,YOSHIDA T. Storage of refrigerated liquefied gases in rock caverns:characteristics of rock under very low temperatures[J]. Tunnelling and Underground Space Technology,1990,5(4):319–325.
[7] BAI Y,SHAN R,JU Y,et al. Study on the mechanical properties and damage constitutive model of frozen weakly cemented red sandstone[J]. Cold Regions Science and Technology,2020,171:102980.
[8] WANG T,SUN Q,JIA H,et al. Fracture mechanical properties of frozen sandstone at different initial saturation degrees[J]. Rock Mechanics and Rock Engineering,2022,55(6):3 235–3 252.
[9] LI X,WU Q,TAO M,et al. Dynamic brazilian splitting test of ring-shaped specimens with different hole diameters[J]. Rock Mechanics and Rock Engineering,2016,49(10):4 143–4 151.
[10] WEN S,ZHANG C,CHANG Y,et al. Dynamic compression characteristics of layered rock mass of significant strength changes in adjacent layers[J]. Journal of Rock Mechanics and Geotechnical Engineering,2020,12(2):353–365.
[11] XU Y,FU Y,YANG Y,et al. Dynamic compression properties of a saturated white sandstone under ambient sub-zero temperatures[J]. Acta Geotechnica,2023,18(8):4 245–4 260.
[12] 陈彦龙,崔慧栋,李 明,等. 实时低温条件下露天矿饱和损伤煤系砂岩动态力学特性及其破坏机制[J]. 煤炭学报,2022,47(3): 1 168–1 179.(CHEN Yanlong,CUI Huidong,LI Ming,et al. Dynamic mechanical properties and failure mechanism of saturated coal-measure sandstone in open pit mine with damage under real-time low-temperature conditions[J]. Journal of China Coal Society,2022, 47(3):1 168–1 179.(in Chinese))
[13] 李海波,赵 坚,李俊如,等. 三轴情况下花岗岩动态力学特性的试验研究[J]. 爆炸与冲击,2004,24(5):470–474.(LI Haibo,ZHAO Jian,LI Junru,et al. Triaxial compression tests of a granite[J]. Explosion and Shock Waves,2004,24(5):470–474.(in Chinese))
[14] 王建国,杨 阳,郭延辉,等. 高应变率下饱水花岗岩动力学特性的低温效应[J]. 岩土力学,2017,38(增2):163–169.(WANG Jianguo,YANG Yang,GUO Yanhui,et al. Low temperature effect of saturated granite on dynamic characteristics at high strain rates[J]. Rock and Soil Mechanics,2017,38(Supp.2):163–169.(in Chinese))
[15] 张蓉蓉. 不同温度处理后深部砂岩动态力学及损伤特性试验与分析[J]. 岩石力学与工程学报,2018,37(增2):3 879–3 890.(ZHANG Rongrong. Test and analysis of dynamic mechanics and damage characteristics of deep sandstone after different temperatures[J]. Chinese Journal of Rock Mechanics and Engineering,2018,37(Supp.2):3 879–3 890.(in Chinese))
[16] MELNIKOV N. Influence of explosive charge design on results of blasting[J]. Mining Research,1962,(1):147–155.
[17] WENG L,WU Z,LIU Q,et al. Energy dissipation and dynamic fragmentation of dry and water-saturated siltstones under sub-zero temperatures[J]. Engineering Fracture Mechanics,2019,220:106659.
[18] 李兵磊,远彦威,曹洋兵,等. 冲击载荷下灰岩的动力学特性及能量耗散规律[J]. 金属矿山,2021,50(8):61–66.(LI Binglei,YUAN Yanwei,CAO Yangbing,et al. Dynamic characteristics and energy dissipation law of limestone under impact loading[J]. Metal Mine,2021,50(8):61–66.(in Chinese))
[19] 张广辉,欧阳振华,邓志刚,等. 循环加载下冲击倾向性煤能量耗散与损伤演化研究[J]. 煤炭科学技术,2017,45(2):59–64. (ZHANG Guanghui,OUYANG Zhenhua,DENG Zhigang,et al. Study on energy dissipation and damage evolution of bump proneness coal under cyclic loadings[J]. Coal Science and Technology,2017,45(2):59–64.(in Chinese))
[20] 贾 蓬,卢佳亮,毛松泽,等. 不同饱和度冻结红砂岩动态压缩性能及能量特性试验研究[J]. 中南大学学报:自然科学版,2023,54(3):1 131–1 140.(JIA Peng,LU Jialiang,MAO Songze,et al. Experimental study on dynamic compression performance and energy characteristics of frozen red sandstone with different saturations[J]. Journal of Central South University:Science and Technology,2023,54(3):1 131–1 140.(in Chinese))
[21] 中华人民共和国国家标准编写组. GB/T 50266—2013工程岩体试验方法标准[S]. 北京:中国计划出版社,2013.(The National Standards Compilation Group of People?s Republic of China. GB/T 50266—2013 Standard for test methods of engineering rock mass[S]. Beijing:China Planning Press,2013.(in Chinese))
[22] 苗胜军,刘泽京,赵星光,等. 循环荷载下北山花岗岩能量耗散与损伤特征[J]. 岩石力学与工程学报,2021,40(5):928–938.(MIAO Shengjun,LIU Zejing,ZHAO Xingguang,et al. Energy dissipation and damage characteristics of Beishan granite under cyclic loading and unloading[J]. Chinese Journal of Rock Mechanics and Engineering,2021,40(5):928–938.(in Chinese))
[23] 张慧梅,陈世官,王 磊,等. 扰动冲击下弱胶结红砂岩的能量耗散与分形特征[J]. 岩土工程学报,2022,44(4):622–631.(ZHANG Huimei,CHEN Shiguan,WANG Lei,et al. Energy dissipation and fractal characteristics of weakly cemented red sandstone under disturbance impact[J]. Chinese Journal of Geotechnical Engineering,2022,44(4):622–631.(in Chinese))
[24] 吴 亮,卢文波,宗 琦. 岩石中柱状装药爆炸能量分布[J]. 岩土力学,2006,27(5):735–739.(WU Liang,LU Wenbo,ZONG Qi. Distribution of explosive energy consumed by column charge in rock[J]. Rock and Soil Mechanics,2006,27(5):735–739.(in Chinese))
[25] 申艳军,杨更社,荣腾龙,等. 岩石冻融循环试验建议性方案探讨[J]. 岩土工程学报,2016,38(10):1 775–1 782.(SHEN Yanjun,YANG Gengshe,RONG Tenglong,et al. Proposed scheme for freeze-thaw cycle tests on rock[J]. Chinese Journal of Geotechnical Engineering,2016,38(10):1 775–1 782.(in Chinese))
[26] 王礼立. 应力波基础[M]. 北京:国防工业出版社,2005:29–32.(WANG Lili. Foundation of stress waves[M]. Beijing:National Defense Industry Press,2005:29–32.(in Chinese))
[27] 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))
[28] 平 琦,马芹永,张经双,等. 高应变率下砂岩动态拉伸性能SHPB试验与分析[J]. 岩石力学与工程学报,2012,31(增1):3 363–3 369. (PING Qi,MA Qinyong,ZHANG Jingshuang,et al. SHPB test and analysis of dynamic tensile performance of sandstone under high strain rate[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(Supp.1):3 363–3 369.(in Chinese))
[29] 朱晶晶,李夕兵,宫凤强,等. 冲击载荷作用下砂岩的动力学特性及损伤规律[J]. 中南大学学报:自然科学版,2012,43(7):2 701–2 707.(ZHU Jingjing,LI Xibing,GONG Fengqiang,et al. Experimental test and damage characteristics of sandstone under uniaxial impact compressive loads[J]. Journal of Central South University:Science and Technology,2012,43(7):2 701–2 707.(in Chinese))
[30] 杨善元. 岩石爆破动力学基础[M]. 北京:煤炭工业出版社,1993:150–154.(YANG Shanyuan. Foundation of rock blasting dynamics[M]. Beijing:China Coal Industry Publishing House,1993:150–154.(in Chinese))
[31] 李夕兵. 岩石动力学基础与应用[M]. 北京:科学出版社,2014:176–192.(LI Xibing. Rock dynamics fundamentals and applications[M]. Beijing:Science Press,2014:176–192.(in Chinese))
[32] ZHAO B,JIANG N,ZHOU C,et al. Safety assessment for a ballast railway induced by underground subway tunnel blasting:A case study[J]. International Journal of Protective Structures,2023,(1):1–26.
[33] ESEN S,ONEDERRA I,BILGIN H. Modelling the size of the crushed zone around a blasthole[J]. International Journal of Rock Mechanics and Mining Sciences,2003,40(4):485–495.
[34] 曹 祺. 岩石爆破中炸药爆炸能量分布的测试和研究[硕士学位论文][D]. 淮南:安徽理工大学,2008.(CAO Qi. Tests and research on explosive energy distribution in rock blasting[M. S. Thesis][D]. Huainan:Anhui University of Science and Technology,2008.(in Chinese))
[35] 毕程程. 华山花岗岩HJC本构参数标定及爆破损伤数值模拟[硕士学位论文][D]. 合肥:合肥工业大学,2018.(BI Chencheng. Calibration of HJC constitutive parameters of Huashan granite and its blasting damage numerical simulation[M. S. Thesis][D]. Hefei:Hefei University of Technology,2018.(in Chinese))
[36] CAO H,JIANG N,YAO Y,et al. Safety assessment of concrete pipeline considering the effect of pipe diameter subjected to blasting vibration[J]. International Journal of Protective Structures,2022,8(3):1–17.
[37] SUN W,JIANG N,ZHOU C,et al. Safety assessment for buried drainage box culvert under influence of underground connected aisle blasting:A case study[J]. Frontiers of Structural and Civil Engineering,2023,1:1–14.
[38] XIE L,LU W,ZHANG Q,et al. Damage evolution mechanisms of rock in deep tunnels induced by cut blasting[J]. Tunnelling and Underground Space Technology,2016,58:257–270.
[39] 方 秦,阮 征,翟超辰,等. 围压与温度共同作用下盐岩的SHPB试验及数值分析[J]. 岩石力学与工程学报,2012,31(9):1 756– 1 765.(FANG Qin,RUAN Zheng,ZHAI Chaochen,et al. Split Hopkinson pressure bar test and numerical analysis of salt rock under confining pressure and temperature[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(9):1 756–1 765.(in Chinese))