Blast wave interaction during explosive detonation in a variable cross-sectional charge
Oleksii Ishchenko1, Leonid Novikov2, Ivan Ponomarenko3, Volodymyr Konoval3, Roman Kinasz4, Kostiantyn Ishchenko2
1Dnipro University of Technology, Dnipro, Ukraine
2M.S. Poliakov Institute of Geotechnical Mechanics of the National Academy of Sciences of Ukraine, Dnipro, Ukraine
3Cherkasy State Technological University, Cherkasy, Ukraine
4AGH University of Science and Technology, Krakow, Poland
Min. miner. depos. 2024, 18(2):60-70
https://doi.org/10.33271/mining18.02.060
Full text (PDF)
      ABSTRACT
      Purpose. The research aims to assess the efficiency and performance of solid media destruction in directed blasting of a charge with variable cross-sectional shape.
      Methods. Numerical modelling of the blast wave interaction process is performed using the finite element method based on the Euler-Lagrange algorithm. The Johns-Wilkins-Lee equation of state is used to determine the pressure-volume dependences of medium destruction. Assessment of solid medium destruction mechanism during a directed blasting of a charge with variable cross-sectional shape is carried out based on polarization-optical method on models made of optically active material.
      Findings. Experimental studies of solid medium destruction by the action of directed blasting with a variable cross-section charge made it possible to determine the direction of blast wave propagation and its amplitude in stress wave, influencing the intensity of radial crack network formation in superposition areas, and directed perpendicularly to explosive cavity. At the same time, the average peak pressure in collision zone of two shock waves in centre of spherical cavity is approximately 1.48 and 1.84 times higher than that in weakly blast-loaded areas. It has been found that when two shock waves collide and superimpose on each other, the intensity of their impact increases. Moreover, the shock wave velocity in collision zone is higher than that of the radial shock wave.
      Originality. It has been determined that the maximum pressure values on the explosive cavity wall at the initiation points sharply increase and then gradually stabilize as the blast stress waves propagate and have an arbitrary distribution pattern. Three areas should be considered: not superimposed, weakly superimposed, and strongly superimposed. At each point of detonation, the pressure on explosive cavity wall will be minimal, while in the charge centre in the spherical insert zone, on the contrary, it will be maximal. In this case, the pressure in the central superposition area is about 2.84 times greater than at the initiation ends, and the nature of distribution changes according to a linear dependence.
      Practical implications. The performed research findings can serve as a basis for development of effective parameters of resource-saving methods for stripping hard rocks of complex structure in the conditions of ore mines.
      Keywords: explosive, explosive loading, solid medium, explosive charges, explosive destruction
      REFERENCES
- Frolov, O.O., Mal’tseva, Yu.S. (2018). Determination of effective diameter downhole charge taking into account the technical and economic assessment blasting works. Visnyk Kryvorizkoho Natsionalnoho Universytetu, 46, 9-14. https://doi.org/10.31721/2306-5451-2018-1-46-9-14
- Vovk, O.A. (2013). Parametry seysmicheskikh voln pri deystvii sosredotochennogo zaryada. Ugol Ukrainy, 7, 42-45.
- Ishchenko, О., & Ishchenko, B. (2016). Simulation modeling stress field in the vicinity of the stope of orebody. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 3, 126-130.
- Aleksandrova, N.I. (2016). Seismic waves in a three-dimensional block medium. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 472(2192), 20160111. https://doi.org/10.1098/rspa.2016.0111
- Ishchenko, О., Us, S., & Ishchenko, K. (2018). Substantiation of the place of laying of explosive charges in the massif of strong rocks. The Development of Technical Sciences: Problems and Solutions, 1, 13-17.
- Ishchenko, О., Us, S., Коbа, D., & Ishchenko, K. (2023). Selection and justification of drilling and blasting parameters using genetic algorithms. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 4, 40-48. https://doi.org/10.33271/nvngu/2023-4/040
- Khlevniuk, T.V. (2013). Seismic safety of buildings and structures during blasting operations in quarries. Visnyk Zhytomyrskoho Derzhavnoho Tekhnolohichnoho Universytetu, 1(64), 144-147.
- Segarra, P., Sanchidrián, J.A., Castedo, R., López, L.M., & del Castillo, I. (2015). Performance of some coupling methods for blast vibration monitoring. Journal of Applied Geophysics, 112, 129-135. https://doi.org/10.1016/j.jappgeo.2014.11.012
- Humenyk, I.L. Strilets, O.P., & Shvets, V.Iu. (2012). Determination of optimal parameters of seismically safe drilling operations at the Pishchansky deposit of migmatites and granites. Suchasni Resursoenerhosberihaiuchi Tekhnolohii Hirnychoho Vyrobnytstva, 2(10), 112-119.
- Kumar, R., Choudhury, D., & Bhargava, K. (2016). Determination of blast-induced ground vibration equations for rocks using mechanical and geological properties. Journal of Rock Mechanics and Geotechnical Engineering, 8(3), 341-349. https://doi.org/10.1016/j.jrmge.2015.10.009
- Gui, Y.L., Zhao, Z.Y., Jayasinghe, L.B., Zhou, H.Y., Goh, A.T.C., & Tao, M. (2018). Blast wave induced spatial variation of ground vibration considering field geological conditions. International Journal of Rock Mechanics and Mining Sciences, 101, 63-68. https://doi.org/10.1016/j.ijrmms.2017.11.016
- Kurinnoy, V.P. (2018). Theoretical bases of explosive rock destruction. Dnipro, Ukraine, 280 p.
- Li, J.C., Li, N.N., Chai, S.B., & Li, H.B. (2017). Analytical study of ground motion caused by seismic wave propagation across faulted rock masses. International Journal for Numerical and Analytical Methods in Geomechanics, 42(1), 95-109. https://doi.org/10.1002/nag.2716
- Zuyevska, N.V., Chala, O.M., Tarasyuk, O.S., & Pasko, M.V. (2018). Modeling of the process of explosive destruction of ferrous quartzites. Visti Donetskoho Hirnychoho Instytutu, 1, 39-45. https://doi.org/10.31474/1999-981X-2018-1-39-45
- Zhukova, N.I. (2014). Development of well charges based on the criterion of energy consumption of drilling rock massifs with voids. Visnyk NTUU “KPI”. Seriia “Hirnytstvo”, 23, 40-47.
- Leng, Z.D., Sun, J.S., Lu, W.B., Xie, X., Jia, Y., Zhou, G., & Chen, M. (2021). Mechanism of the in-hole detonation wave interactions in dual initiation with electronic detonators in bench blasting operation. Computers and Geotechnics, 129(6), 103873. https://doi.org/10.1016/j.compgeo.2020.103873
- Jayasinghe, L.B., Zhou, H.Y., Goh, A.T.C., Zhao, Z.Y., & Gui, Y.L. (2017). Pile response subjected to rock blasting induced ground vibration near soil-rock interface. Computers and Geotechnics, 82, 1-15. https://doi.org/10.1016/j.compgeo.2016.09.015
- Dhakal, R.P., & Pan, T.C. (2003). Response characteristics of structures subjected to blasting-induced ground motion. International Journal of Impact Engineering, 28(8), 813-828. https://doi.org/10.1016/S0734-743X(02)00157-4
- Babii, К.V., Kratkovsky, I.L., Ishchenko, K.S., & Konoval, V.N. (2019). Innovative resource-saving method of explosive destruction of complex-structural ferruginous quartzites. Traditions and Innovations of Resource-Saving Technologies in Mineral Mining and Processing, 44-62.
- Zhang, Z.X., Hou, D.F., & Aladejare, A. (2020). Empirical equations between characteristic impedance and mechanical properties of rocks. Journal of Rock Mechanics and Geotechnical Engineering, 12(5), 975. https://doi.org/10.1016/j.jrmge.2020.05.006
- Zhang, Z.X. (2014). Effect of double-primer placement on rock fracture and ore recovery. International Journal of Rock Mechanics and Mining Sciences, 71, 208-216. https://doi.org/10.1016/j.ijrmms.2014.03.020
- Zhang, Q.B., Zhang, Z.X., Wu, C.S., Yang, J., & Wang, Z. (2022). Characteristics of vibration waves measured in concrete lining of excavated tunnel during blasting in adjacent tunnel. Coatings, 12(7), 954. https://doi.org/10.3390/coatings12070954
- Gao, Q., Lu, W., Yan, P., Hu, H., Yang, Z., & Chen, M. (2019). Effect of initiation location on distribution and utilization of explosion energy during rock blasting. Bulletin of Engineering Geology and the Environment, 78(7), 3433-3447. https://doi.org/10.1007/s10064-018-1296-4
- Gao, Q., Lu, W., Leng, Z., Yang, Z., Zhang, Y., & Hu, H. (2019). Effect of initiation location within blasthole on blast vibration field and its mechanism. Shock and Vibration, 2019, 5386014. https://doi.org/10.1155/2019/5386014
- Miao, Y.S., Li, X.J., Yan, H.H., Wang, X., & Sun, J. (2017). Experimental study of bilinear initiating system based on hard rock pile blasting. Shock and Vibration, 2017, 3638150. https://doi.org/10.1155/2017/3638150
- Miao, Y.S., Li, X.J., & Yan, H.H. (2018). Research and application of a symmetric bilinear initiation system in rock blasting. International Journal of Rock Mechanics and Mining Sciences, 102, 52-56. https://doi.org/10.1016/j.ijrmms.2018.01.017
- Haeri, H. (2016). Experimental and numerical study on crack propagation in pre-cracked beam specimens under three-point bending. Journal of Central South University, 23(2), 430-439. https://doi.org/10.1007/s11771-016-3088-y
- Zhendong, L., Wenbo, L., Ming, C., Yong, F., Peng, Y., & Gaohui, W. (2016). Explosion energy transmission under side initiation and its effect on rock fragmentation. International Journal of Rock Mechanics and Mining Sciences, 86, 245-254. https://doi.org/10.1016/j.ijrmms.2016.04.016
- Zhendong, L., Wenbo, L., Ming, C., Fan, Y., Peng, Y., & Gaohui, W. (2019). Explosion energy transmission and rock-breaking effect of in-hole dual initiation. International Journal of Rock Mechanics and Engineering, 38(12), 245-254. https://doi.org/10.1016/j.ijrmms.2016.04.016
- Onederra, I.A., Furtney, J.K., Sellers, E., & Verson, S. (2013). Modelling blast induced damage from a fully coupled explosive charge. International Journal of Rock Mechanics and Mining Sciences, 58, 73-84. https://doi.org/10.1016/j.ijrmms.2012.10.004
- Liu, L., Chen, M., Lu, W.B., Hu, Y., & Leng, Z. (2015). Effect of the location of the detonation initiation point for bench blasting. Shock and Vibration, 2015, 907310. https://doi.org/10.1155/2015/907310
- Zuo, J.J., Yang, R.S., Ma, X.M., Yang, L., & Zhao, Y. (2020). Explosion wave and explosion fracture characteristics of cylindrical charges. International Journal of Rock Mechanics and Mining Sciences, 135(5), 104501. https://doi.org/10.1016/j.ijrmms.2020.104501
- Zuo, J.J., Yang, R.S., Gong, M., & Xu, P. (2021). Explosion wave and crack field of an eccentric decoupled charge. Applied Optics, 60(33), 10453-10461. https://doi.org/10.1364/AO.438530
- Yang, R.S., & Zuo, J.J. (2019). Experimental study on directional fracture blasting of cutting seam cartridge. Shock and Vibration, 2019, 1085921. https://doi.org/10.1155/2019/1085921
- Gerasimov, S.I., & Trepalov, N.A. (2017). Background oriented schlieren method as an optical method to study shock waves. Technical Physics, 62(12), 1799-1804. https://doi.org/10.1134/S1063784217120088
- Ding, J.J., Yang, J.H., Ye, Z.W., Leng, Z., Yao, C., & Zhou, C. (2023). Cut-blasting method selection and parameter optimization for rock masses under high in situ stress. International Journal of Geomechanics, 23(12), 04023211. https://doi.org/10.1061/IJGNAI.GMENG-8802
- Lin, S.C. (1954). Cylindrical shock waves produced by instantaneous energy release. Journal of Applied Physics, 25(1), 54-57. https://doi.org/10.1063/1.1721520
- Wang, Y.B., Wen, Z.J., Liu, G.Q., Wang, J., Bao, Z., Lu, K., Wang, D., & Wang, B. (2020). Explosion propagation and characteristics of rock damage in decoupled charge blasting based on computed tomography scanning. International Journal of Rock Mechanics and Mining Sciences, 136, 104540. https://doi.org/10.1016/j.ijrmms.2020.104540
- Dong, T.W., Liu, H.S., Jiang, S.L., Gu, L., Xiao, Q.W., Yu, Z., & Liu, X.F. (2013). Simulation of free surface flow with a revolving moving boundary for screw extrusion using smoothed particle hydrodynamics. Computer Modeling in Engineering & Sciences, 95(5), 369-390. https://doi.org/10.3970/cmes.2013.095.369
- Wang, Z.L., Wang, H.C., Wang, J.G., Tian, N.C. (2021). Finite element analyses of constitutive models performance in the simulation of blast-induced rock cracks. Computers and Geotechnics, 135, 104172. https://doi.org/10.1016/j.compgeo.2021.104172
- Ayatollahi, M.R., Torabi, A.R., & Firoozabadi, M. (2015). Theoretical and experimental investigation of brittle fracture in V-notched PMMA specimens undercompressive loading. Engineering Fracture Mechanics, 135(6), 187. https://doi.org/10.1016/j.engfracmech.2015.01.005
- Zhang, R., Guo, R., & Wang, S.Y. (2014). Mixed mode fracture study of PMMA using digital gradient sensing method. Engineering Fracture Mechanics, 119(2), 164-172. https://doi.org/10.1016/j.engfracmech.2014.02.020
- Xu, W., Yao, X.F., Yeh, H.Y., & Jin, G.C. (2005). Fracture investigation of PMMA specimen using coherent gradient sensing (CGS) technology. Polymer Testing, 24(7), 900-908. https://doi.org/10.1016/j.polymertesting.2005.06.005
- Efremov, E.I., Ishchenko, K.S., & Nikiforova, V.O. (2014). Explosive mixture. Patent No. 88299, Ukraine.
- Ishchenko, О.К., & Ishchenko, K.S. (2012). Condenser explosive device. Patent No. 98546, Ukraine.
- Kyrychenko, O.L., Kulivar, V.V., Skobenko, O.V., Khalymendyk, O.V. (2019). A technique to measure V.V. sensitivity of explosives to the effect of laser pulse radiation. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 4, 11-15. https://doi.org/10.29202/nvngu/2019-4/2
- Ishchenko, О.К. (2023). Study on explosion in different cross-sectional shape charge cavity in tensile stress field. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 3, 32-38. https://doi.org/10.33271/nvngu/2023-3/032
- Ishchenko, О.К., Ishchenko, В.S., & Ishchenko, К.S. (2019). The method of formation of a combined well charge of an explosive substance (ES) of cumulative action. Patent No. 118458, Ukraine.
- Ishchenko, О.К., & Ishchenko, В.S. (2017). The method of chipping rocks. Patent No. 118271, Ukraine.
- DSTU 4704:2008. (2009). Provedennia promyslovykh vybukhiv. Normy seismichnoi bezpeky. Кyiv, Ukraina: Derzhspozhyvstandart.
- DSTU 7116:2009. (2010). Vybukhy promyslovi. Metody vyznachennia faktychnoi seismichnoi stiikosti budynkiv i sporud. Кyiv, Ukraina: Derzhspozhyvstandart.