Abstract
Cut blasting is a key step in the drill and blast method. In underground engineering, confining pressure has a significant influence on the cut cavity formation process. In this study, the smoothed particle hydrodynamics-finite element method (SPH-FEM) considering confining pressure is used to describe the characteristics of the cut blasting process. The evolution mechanism of cut blasting and cavity formation under equibiaxial and anisotropic pressure is studied. The results show that the increase in confining pressure strengthens the rock clamping effect, and reduces the rock throwing, which is a nonlinear trend. The stress relief of the empty hole is obvious under high confining pressure, and the rock outside the empty hole is more likely to be thrown than that outside the cut hole. Under anisotropic pressure, the throwing pattern of rock fragments gradually shifts toward the direction of high confining pressure, while the rock accumulates in the direction of low confining pressure. The cut effect in a certain direction is dominated by the perpendicular confining pressure, but the increase in the horizontal confining pressure also has an inhibitory effect. Finally, suggestions for adjusting the hole distance, empty hole parameters, bottom cavity charge, and delay time are proposed and discussed.
Highlights
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3D process of cut blasting and cavity formation is simulated by SPH-FEM method.
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Confining pressure is successfully applied in the 3D model by stress initialization.
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Effect of equibiaxial and anisotropic pressures on cut cavity formation is clarified.
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Suggestions for improving cut effect under confining pressure are proposed and verified.
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Some or all data, models, or code that support the fndings of this study are available from the corresponding author upon reasonable request.
References
Bai Y, Zhu WC, Wei HC, Wei J (2013) Numerical simulation on two-hole blasting under different in-situ stress conditions. Rock Soil Mech 34(S1):466–471. https://doi.org/10.16285/j.rsm.2013.s1.021. (in Chinese)
Chen SY, Yang LY, Yang AY, Hang C, Xie HZ (2022) Damage evolution and fragmentation behavior of pyramid cut blasting under uniaxial compression. J Mt Sci 19(5):1475–1486. https://doi.org/10.1007/s11629-021-6809-0
Donze FV, Bouchez J, Magnier SA (1997) Modeling fractures in rock blasting. Int J Rock Mech Min Sci 34(8):1153–1163. https://doi.org/10.1016/S0148-9062(97)00300-8
Drover C, Villaescusa E, Onederra I (2018) Face destressing blast design for hard rock tunnelling at great depth. Tunn Undergr Space Technol 80:257–268. https://doi.org/10.1016/j.tust.2018.06.021
Esmaeili M, Tavakoli B (2019) Finite element method simulation of explosive compaction in saturated loose sandy soils. Soil Dyn Earthq Eng 116:446–459. https://doi.org/10.1016/j.soildyn.2018.09.048
Fakhimi A, Lanari M (2014) DEM-SPH simulation of rock blasting. Comput Geotech 55:158–164. https://doi.org/10.1016/j.compgeo.2013.08.008
Fang Q, Kong ZX, Wu H, Gong ZM (2014) Determination of Holmquist–Johnson–Cook constitutive model parameters of rock. Eng Mech 31(3):197–204. https://doi.org/10.6052/j.issn.1000-4750.2012.10.0780. (in Chinese)
Gharehdash S, Barzegar M, Palymskiy IB, Fomin PA (2020) Blast induced fracture modelling using smoothed particle hydrodynamics. Int J Impact Eng 135:103235. https://doi.org/10.1016/j.ijimpeng.2019.02.001
Jayasinghe LB, Shang JL, Zhao ZY, Goh ATC (2019) Numerical investigation into the blasting-induced damage characteristics of rocks considering the role of in-situ stresses and discontinuity persistence. Comput Geotech 116:103207. https://doi.org/10.1016/j.compgeo.2019.103207
Jeong H, Jeon B, Choi S, Jeon S (2020) Fracturing behavior around a blasthole in a brittle material under blasting loading. Int J Impact Eng 140:103562. https://doi.org/10.1016/j.ijimpeng.2020.103562
Johnson G, Holmquist T (2011) A computational constitutive model for brittle materials subjected to large strains, high strain rates and high pressures. J Appl Mech Trans ASME 78:051003. https://doi.org/10.1115/1.4004326
Karmakar S, Shaw A (2021) Response of R.C. plates under blast loading using FEM-SPH coupled method. Eng Failure Anal 125:105409. https://doi.org/10.1016/j.engfailanal.2021.105409
Kleine H, Hiraki K, Maruyama H, Hayashida T, Yonai J, Kitamura K, Kondo Y, Etoh TG (2005) High-speed time-resolved color schlieren visualization of shock wave phenomena. Shock Waves 14:333–341. https://doi.org/10.1007/s00193-005-0273-6
Koneshwaran S, Thambiratnam DP, Gallage C (2015) Blast response of segmented bored tunnel using coupled SPH-FE method. Structures 2:58–71. https://doi.org/10.1016/j.istruc.2015.02.001
Kucewicz M, Baranowski P, Mazurkiewicz L, Małachowski J (2023) Comparison of selected blasting constitutive models for reproducing the dynamic fragmentation of rock. Int J Impact Eng 173:104484. https://doi.org/10.1016/j.ijimpeng.2022.104484
Kury JW, Breithaupt RD, Tarver CM (1999) Detonation waves in trinitrotoluene. Shock Waves 9(4):227–237. https://doi.org/10.1007/s001930050160
Kutter HK, Fairhurst C (1971) On the fracture process in blasting. Int J Rock Mech Min Sci 8(3):181–202. https://doi.org/10.1016/0148-9062(71)90018-0
Lak M, Fatehi MM, Yarahmadi BA, Abdollahipour A (2019) A coupled finite difference-boundary element method for modeling the propagation of explosion-induced radial cracks around a wellbore. J Nat Gas Sci Eng 64:41–51. https://doi.org/10.1016/j.jngse.2019.01.019
Li XH, Zhu ZM, Wang M, Wan DY, Zhou L, Liu RF (2021) Numerical study on the behavior of blasting in deep rock masses. Tunn Undergr Space Technol 113:103968. https://doi.org/10.1016/j.tust.2021.103968
Li X, Pan C, Li XF, Shao CM, Li HB (2022a) Application of a synthetic rock mass approach to the simulation of blasting-induced crack propagation and coalescence in deep fractured rock. Geomech Geophys Geo-Energ Geo-Resour 8(2):57. https://doi.org/10.1007/s40948-022-00376-4
Li XD, Liu KW, Yang JC, Song RT (2022b) Numerical study on blast-induced fragmentation in deep rock mass. Int J Impact Eng 170:104367. https://doi.org/10.1016/j.ijimpeng.2022.104367
Lu WB, Yang JH, Yan P, Chen M, Zhou CB, Luo Y, Jin L (2012) Dynamic response of rock mass induced by the transient release of in-situ stress. Int J Rock Mech Min Sci 53:129–141. https://doi.org/10.1016/j.ijrmms.2012.05.001
Ocak I, Bilgin N (2010) Comparative studies on the performance of a roadheader, impact hammer and drilling and blasting method in the excavation of metro station tunnels in Istanbul. Tunn Undergr Space Technol 25(2):181–187. https://doi.org/10.1016/j.tust.2009.11.002
Park J, Kim K (2020) Use of drilling performance to improve rock-breakage efficiencies: a part of mine-to-mill optimization studies in a hard-rock mine. Int J Rock Mech Min Sci 30(2):179–188. https://doi.org/10.1016/j.ijmst.2019.12.021
Rahimi B, Sharifzadeh M, Feng XT (2020) Ground behaviour analysis, support system design and construction strategies in deep hard rock mining—justified in Western Australian’s mines. Int J Rock Mech Geotech Eng 12(1):1–20. https://doi.org/10.1016/j.jrmge.2019.01.006
Rossmanith HP, Knasmillner RE, Daehnke A, Mishnaevsky L (1996) Wave propagation, damage evolution, and dynamic fracture extension. Part II. Blasting. Mater Sci 32(4):403–410. https://doi.org/10.1007/BF02538964
Saiang D, Nordlund E (2009) Numerical analyses of the influence of blast-induced damaged rock around shallow tunnels in brittle rock. Rock Mech Rock Eng 42(3):421–448. https://doi.org/10.1007/s00603-008-0013-1
Tao J, Yang GX, Li HT, Zhou JW, Qi SC, Lu GD (2020) Numerical investigation of blast-induced rock fragmentation. Comput Geotech 128:103846. https://doi.org/10.1016/j.compgeo.2020.103846
Tarver CM, Breithaupt RD, Kury JW (1997) Detonation waves in pentaerythritol tetranitrate. J Appl Phys 81(11):7193–7202. https://doi.org/10.1063/1.365318
Wang ZL, Konietzky H (2009) Modelling of blast-induced fractures in jointed rock masses. Eng Fract Mech 76:1945–1955. https://doi.org/10.1016/j.engfracmech.2009.05.004
Wang ZL, Wang HC, Wang JC, Tian NC (2021) Finite element analyses of constitutive models performance in the simulation of blast-induced rock cracks. Comput Geotech 135:10172. https://doi.org/10.1016/j.compgeo.2021.104172
Wang X, Li JC, Zhao XB, Liang Y (2022) Propagation characteristics and prediction of blast-induced vibration on closely spaced rock tunnels. Tunn Undergr Space Technol 123:104416. https://doi.org/10.1016/j.tust.2022.104416
Wu GQ, Huang WY, Wang XG, Zheng HW (2008) Theoretical calculation of detonation parameters of emulsified explosive materials of class ii use permissibility in coal mine. J Anhui Univ Sci Technol Nat Sci 28(1):78–80. https://doi.org/10.3969/j.issn.1672-1098.2008.01.019. (in Chinese)
Xie LX, Lu WB, Zhang QB, Jiang QH, Wang GH, Zhao J (2016) Damage evolution mechanisms of rock in deep tunnels induced by cut blasting. Tunn Undergr Space Technol 58:257–270. https://doi.org/10.1016/j.tust.2016.06.004
Xie LX, Lu WB, Zhang QB, Jiang QH, Chen M, Zhao J (2017) Analysis of damage mechanisms and optimization of cut blasting design under high in-situ stresses. Tunn Undergr Space Technol 66:19–33. https://doi.org/10.1016/j.tust.2017.03.009
Xu X, He M, Zhu C, Lin Y, Cao C (2019) A new calculation model of blasting damage degree-Based on fractal and tie rod damage theory. Eng Fract Mech 220:106619. https://doi.org/10.1016/j.engfracmech.2019.106619
Yan GL, Zhang FP, Ku T, Hao QQ (2022) Experimental study on failure mechanism and geometric parameters of blasting crater under uniaxial static compressive stresses. Bull Eng Geol Environ 81:251. https://doi.org/10.1007/s10064-022-02714-y
Yang RS, Ding CX, Yang LY, Chen C (2018) Model experiment on dynamic behavior of jointed rock mass under blasting at high-stress conditions. Tunn Undergr Space Technol 74:145–152. https://doi.org/10.1016/j.tust.2018.01.017
Yang RS, Ding CX, Yang LY, Lei Z, Zheng CD (2019) Study of decoupled charge blasting based on high-speed digital image correlation method. Tunn Undergr Space Technol 83:51–59. https://doi.org/10.1016/j.tust.2018.09.031
Yang P, Lei QH, Xiang JS, Latham JP, Pain C (2020) Numerical simulation of blasting in confined fractured rocks using an immersed-body fluid–solid interaction model. Tunn Undergr Space Technol 98:103352. https://doi.org/10.1016/j.tust.2020.103352
Yi CP, Johansson D, Greberg J (2018) Effects of in-situ stresses on the fracturing of rock by blasting. Comput Geotech 104:321–330. https://doi.org/10.1016/j.compgeo.2017.12.004
Yilmaz O, Unlu T (2013) Three dimensional numerical rock damage analysis under blasting load. Tunn Undergr Space Technol 38:266–278. https://doi.org/10.1016/j.tust.2013.07.007
Yin Y, Sun Q, Zou BP, Mu QY (2021) Numerical study on an innovative shaped charge approach of rock blasting and the timing sequence effect in microsecond magnitude. Rock Mech Rock Eng 54(9):4523–4542. https://doi.org/10.1007/s00603-021-02516-w
Zare S, Bruland A, Rostami J (2016) Evaluating D&B and TBM tunnelling using NTNU prediction models. Tunn Undergr Space Technol 59:55–64. https://doi.org/10.1016/j.tust.2016.06.012
Zhang FP, Peng JY, Qiu ZG, Chen QK, Li YH, Liu JP (2017) Rock-like brittle material fragmentation under coupled static stress and spherical charge explosion. Eng Geol 220:266–273. https://doi.org/10.1016/j.enggeo.2017.02.016
Zhang FP, Yan GL, Peng JY, Qiu ZG, Dai XH (2020) Experimental study on crack formation in sandstone during crater blasting under high geological stress. Bull Eng Geol Environ 79:1323–1332. https://doi.org/10.1007/s10064-019-01665-1
Zhang H, Li TC, Du YT, Zhu QW, Zhang XT (2021) Theoretical and numerical investigation of deep-hole cut blasting based on cavity cutting and fragment throwing. Tunn Undergr Space Technol 111:103854. https://doi.org/10.1016/j.tust.2021.103854
Zhang H, Li TC, Wu S, Zhang XT, Gao WL, Shi QP (2022) A study of innovative cut blasting for rock roadway excavation based on numerical simulation and field tests. Tunn Undergr Space Technol 119:104233. https://doi.org/10.1016/j.tust.2021.104233
Zhang YF (2017) Model test study on confining pressure effect of cut blasting in high geo-stress rock lane. Ph.D. China University of Mining & Technology, Beijing (in Chinese)
Zhao JJ, Zhang Y, Ranjith PG (2020) Numerical modelling of blast-induced fractures in coal masses under high in-situ stresses. Eng Fract Mech 225:106749. https://doi.org/10.1016/j.engfracmech.2019.106749
Zong Q, Shao LJ (2015) Large diameter empty hole effect analysis and parameters calculation of parallel cut in rock shaft. Blasting 33(1):11–15. https://doi.org/10.3963/j.issn.1001487X.2015.01.003. (in Chinese)
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This study was funded by the National Natural Science Foundation of China (No. 41772299).
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Zhang, H., Li, T., Gao, X. et al. Numerical Study on Evolution Mechanism of Cut Blasting and Cavity Formation Under Confining Pressure. Rock Mech Rock Eng 56, 8571–8590 (2023). https://doi.org/10.1007/s00603-023-03520-y
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DOI: https://doi.org/10.1007/s00603-023-03520-y