Calculation of modified charge amount per delay in non-electric initiation network and its application in onsite PPV prediction

PDF(3063 KB)

Journal of Vibration and Shock ›› 2022, Vol. 41 ›› Issue (15) : 63-70.

HE Li1,2, YANG Renshu2, ZHONG Dongwang1, XIE Lianku3， ZHANG Kui4， YANG Lei5

Author information +

History +

Abstract

There are few studies on the dispersion of initiation time of blast-holes with simultaneous initiation and the blasting vibration superposition in adjacent delay time caused by the delay error of detonators, which brings great difficulties to determine the charge quantity per delay and accurately predict particle peak vibration velocity (PPV) in non-electric initiation network. Considering the normal distribution of detonator delay error for non-electric initiation network, the influence of Nonel detonator no. and delay error on the overlapping degree of initiation time interval was analyzed by probability theory, and the probability calculation model (PCM) of the number of blast-holes (rows) initiated at the same time was constructed. The discrete effect of the initiation time blast-holes with simultaneous initiation and the value method of equivalent charge weight were studied, and the concept and calculation method of modified charge weight per delay were proposed, which was applied to PPV prediction. The results show that, the accumulation of delay error in blasting network results in significant superposition phenomenon of blasting vibration, which leads to the actual charge weight per delay of non-electric initiation network larger than the design value. The expected values of rows of simultaneous initiation blast-holes is 2.35 for the non-electric initiation network using no.3 Nonel detonator to relay detonation outside the blast-hole and no. 11 Nonel detonator to detonate inside the blast-hole. The expected values of rows of simultaneous initiation blast-holes is 4.67 for the non-electric initiation network using no.2 Nonel detonator to relay detonation outside the blast-hole and no. 9 Nonel detonator to detonate inside the blast-hole. The PPV for multi-hole simultaneous blasting is smaller than single-hole blasting when the total charge weight is identical, in the hence the equivalent charge weight of simultaneous initiation blast-holes should be smaller than the total charge weight, which can be calculated by converting the number of holes with scale factor. The regression of blasting vibration velocity model with modified charge weight per delay based on PCM has good fitting effect. The ARE is 5.2% and 8.5%, and RMSE is 0.59 cm/s and 0.85 cm/s between PPV predicted value and monitoring value in the two engineering applications. The PPV of different blasting times can be predicted according to the same vibration velocity model using modified charge weight per delay, which can save the cost of vibration monitoring. The research results can provide reference for blasting network design and vibration control in engineering practice.
Key words: detonator delay error; non-electric initiation network; charge weight per delay; discrete effect; particle peak vibration velocity

Key words

detonator delay error / non-electric initiation network / charge weight per delay / discrete effect / particle peak vibration velocity

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

HE Li1,2, YANG Renshu2, ZHONG Dongwang1, XIE Lianku3， ZHANG Kui4， YANG Lei5. Calculation of modified charge amount per delay in non-electric initiation network and its application in onsite PPV prediction[J]. Journal of Vibration and Shock, 2022, 41(15): 63-70

References

[1] 李清,于强,张迪,等.地铁隧道精确控制爆破延期时间优选及应用[J].振动与冲击,2018,37(13):135-140,170.
LI Qing, YU Qiang, ZHANG Di, et al. Metro tunnel precisely controlled blasting’s delay time optimization and its application[J].Journal of Vibration and Shock, 2018, 37(13): 135-140,170.
[2] Mishra A K, Nigam Y K, Singh D R, et al. Controlled blasting in a limestone mine using electronic detonators: A case study[J]. Journal of the Geological Society of India, 2017, 89(1):87-90.
[3] 李祥龙,骆浩浩,胡辉,等.延期时间对高台阶抛掷爆破效果的影响[J].北京理工大学学报,2018, 38(06):579-584.
LI Xiang-long, LUO Hao-hao, HU Hui, et al. High bench cast-blasting effects influenced by delay time[J]. Transactions of Beijing Institute of Technology, 2018, 38(06):579-584.
[4] 钟冬望, 何理, 操鹏, 等.爆破振动持时分析及微差爆破延期时间优选[J].爆炸与冲击, 2016, 36(05):703-709.
ZHONG Dong-wang, HE Li, CAO Peng, et al. Analysis of blasting vibration duration and optimizing of delayed time interval for millisecond blasting[J].Explosion and Shock Waves, 2016, 36(05): 703-709.
[5] Armaghani D J, Hajihassani M, Mohamad E T, et al. Blasting-induced flyrock and ground vibration prediction through an expert artificial neural network based on particle swarm optimization[J]. Arabian Journal of Geoences, 2014, 7(12):5383-5396.
[6] Peng Y , Wu L , Chen C , et al. Study on the Robust Regression of the Prediction of Vibration Velocity in Underwater Drilling and Blasting[J]. Arabian Journal for Science & Engineering, 2018, 43(10):5541-5549.
[7] 李峰.台阶爆破逐孔起爆网路的设计与应用[J].爆破器材,2021,50(02):58-64.
LI Feng. Design and Application of Hole-by-Hole Initiation Network in Bench Blasting[J].Explosive Materials,2021, 50(02):58-64.
[8] 吴昊骏,龚敏.基于雷管实际延时范围的逐孔爆破振动合成计算与应用[J].爆炸与冲击,2019,39(02):151-161.
WU Hao-jun, GONG Min. Calculation and application of hole by hole blasting vibration superposition based on measured delay times of detonators[J]. Explosion and Shock waves,2019, 39(02):151-161.
[9] 顾毅成. 对毫秒延时爆破地震公式的讨论[J]. 铁道建筑, 2005, (Z1):73-75.
GU Yi-cheng. Discussion on seismic formula concerning multistage millisecond explosion[J]. Railway Engineering, 2005, (Z1): 73-75.
[10] 吴绵拔.土岩微差爆破的振动效应[J].土工基础, 2005 (06):75-76.
WU Mian-ba. The vibration effect of micro timelag in soil and rock[J].Soil Engineering and Foundation, 2005(06):75-76.
[11] 龙源,冯长根,徐全军,等.爆破地震波在岩石介质中传播特性与数值计算研究[J].工程爆破,2000(03):1-7. .
LONG Yuan, FEN Chang-gen, XU Quan-jun, et al. Study on propagation characteristics of blasting seismic waves in a rock medium and numerical calculation[J].Engineering Blasting, 2000(03):1-7.
[12] 杨年华.基于经验格林函数方法的爆破振动预测[J].工程爆破, 2016,22(05):32-36.
YANG Nian-hua. Prediction of blasting vibration based on empirical Green's function method[J].Engineering blasting, 2016, 22(05):32-36.
[13] Agrawal Hemant, Mishra A K. Modified scaled distance regression analysis approach for prediction of blast-induced ground vibration in multi-hole blasting[J]. 岩石力学与岩土工程学报:英文版, 2019(1):202-207.
[14] 何理,杨仁树,钟东望,等,陈江伟.毫秒延时爆破等效单响药量计算及振速预测[J/OL].爆炸与冲击:1-13[2020-12-12]. http://kns.cnki.net/kcms/detail/51.1148.O3.20201207.1058.014.html.
HE Li, YANG Ren-shu, ZHONG Dong-wang, et al. Calculation of equivalent charge weight per delay and vibration velocity prediction for millisecond delay blasting. [J/OL]. Explosion and Shock Waves:1-13[2020-12-12].
[15] 许红涛, 卢文波, 陈明,等. 雷管延期误差引起爆破震动叠加问题的遗传算法研究[J]. 岩土力学, 2008(07):181-185.
XU Hong-tao, LU Wen-bo, CHEN Min, et al. Study on superposition effect of blasting vibration induced by delay error of detonators using genetic algorithm[J]. Rock and Soil Mechanics , 2008(07):181-185.
[16] Hemant A , Mishra A K . Probabilistic analysis on scattering effect of initiation systems and concept of modified charge per delay for prediction of blast induced ground vibrations[J]. Measurement, 2018, 130:306-317.
[17] 韩亮,李红江,刘殿书,等.雷管延期误差对地震波叠加降振的概率分析[J].振动与冲击,2019,38(03):96-101,124.
HAN Liang, LI Hong-jiang, LIU Dian-shu, et al. Probability analysis for influence of time-delay error of detonators on superposed seismic wave vibration reduction[J].Journal of Vibration and Shock,2019,38(03):96-101,124.
[18] 杨年华. 爆破振动信号精细解读与振动控制[A]. 中国铁道学会工程分会.爆破工程技术交流论文集[C].中国铁道学会工程分会:中国铁道学会,2018:7.
YANG Nian-hua. Fine interpretation of blasting vibration signal and vibration control[A]. Engineering branch of China Railway Society. Proceedings of blasting engineering technology exchange[C]. Engineering branch of China Railway Society: China Railway Society, 2018:7
[19] 肖盛燮, 吕恩琳. 离散型区间概率随机变量和模糊概率随机变量的数学期望[J]. 应用数学和力学, 2005(10): 1253-1260.
XIAO Sheng-xie, LU En-lin. Mathematical expectation about discrete random variable with interval probability or fuzzy probability[J]. Applied Mathematics and Mechanics, 2005(10): 1253-1260.
[20] BLAIR D P. Non-linear superposition models of blast vibration[J]. International Journal of Rock Mechanics and Mining Sciences,2008, 45:235-247.
[21] 徐俊峰,马宏昊,沈兆武,等.近临界厚度乳化炸药在金属箔焊接中的应用[J].火炸药学报,2020,43(03):282-286, 292.
XU Jun-feng, MA Hong-hao, SHEN Zhao-wu, et al. Application of Near Critical Thickness Emulsion Explosive in Welding of Metal Foils[J].Chinese Journal of Explosives & Propellants, 2020, 43(03):282-286, 292.
[22] Singh P K, Sirveiya A K, Babu K N, et al. Evolution of effective charge weight per delay for prediction of ground vibrations generated from blasting in a limestone mine[J]. International Journal of Mining, Reclamation and Environment, 2006, 20(1):4-19.
[23] 唐海,李海波,蒋鹏灿,等.地形地貌对爆破振动波传播的影响实验研究[J].岩石力学与工程学报,2007(09):1817-1823.
TANG Hai, LI Hai-bo, JIANG Peng-can, et al. Experimental study on effect of topography on propagation of blasting waves[J]. Chinese Journal of Rock Mechanics and Engineering, 2007 (09):1817-1823.
[24] QIU Xian-yang, SHI Xiu-zhi, GOU Yong-gang, et al. Short-delay blasting with single free surface: Results of experimental tests[J].Tunnelling and Underground Space Technology, 2018, 74:119-130.
[25] Hasanipanah M , Naderi R , Kashir J , et al. Prediction of blast-produced ground vibration using particle swarm optimization[J]. Engineering with Computers, 2017, 33(2):173-179.
[26] Agrawal Hemant, Mishra A K. Evaluation of initiating system by measurement of seismic energy dissipation in surface blasting[J]. Arabian Journal of Geosciences. 2018, 11:345.
[27] 韩体飞. 影响延期药精度的实验研究[D].淮南:安徽理工大学,2015:13-16.
HAN Ti-fei. Experimental study on influencing the precision of the delay composition[D].Huainan:Anhui University of Science and Technology, 2015:13-16.