JOURNAL OF ROCK MECHANICS

JOURNAL OF ROCK MECHANICS

Prediction and Optimization of Rock Fragmentation Induced by Blasting Using Hybrid Soft Computing Methods in the Narbaghi Copper Mine

Document Type : Original Article

Authors
Exploitation Division, Faculty of Mining and Materials, Tarbiat Modares University
Abstract
Blasting operations in open-pit mines constitute a crucial and costly stage of the production cycle. Poorly designed blast patterns can result in undesirable outcomes such as improper fragmentation, fly rock, and ground vibrations, leading to increased mining costs. This study presents a predictive and optimization model for rock fragmentation using data from 60 blasting operations in the Narbaghi copper mine. The input parameters include burden, spacing, bench height, number of holes, and number of rows. An artificial neural network (ANN) was employed for fragmentation prediction, yielding superior accuracy. A three-layer backpropagation ANN with 15 neurons in a single hidden layer and exponential and logarithmic sigmoid activation functions demonstrated the best performance, achieving an R² value of 0.94. Sensitivity analysis revealed that burden and spacing had the most significant impact, whereas bench height had the least effect on fragmentation. Finally, the optimal blast pattern was determined using the firefly algorithm, leading to a reduction in burden from 2.5 m to 1.8 m, spacing from 3.0 m to 2.25 m, and bench height from 6.0 m to 5.4 m. Consequently, the D50 value was optimized with a reduction of 59% to 88%
Keywords

 
 
.[1]da Gama CD Microcomputer simulation of rock blasting to predict fragmentation. In: The 25th US Symposium on Rock Mechanics (USRMS), 1984. OnePetro,
 
 .[2]Kemeny JM, Devgan A, Hagaman RM, Wu X (1993) Analysis of rock fragmentation using digital image processing. Journal of Geotechnical Engineering 119 (7):1144-1160
 
 .[3]Cho SH, Kaneko K (2004) Rock fragmentation control in blasting. Materials transactions 45 (5):1722-1730
 
[4]. [1].Rezakhah, M., Khajevand, S., Monjezi, M., & Manríquez León, F. A. (2024). Enhancing transportation fleet   efficiency in open-pit mining via simulation: A case study. Journal of Mining and Environment.
 
[5]. Rezakhah, M. , khajevand, S. , Monjezi, M. and Manríquez León, F. A. (2024). Enhancing transportation fleet efficiency in open-pit mining via simulation: A case study. Journal of Mining and Environment, (), -. doi: 10.22044/jme.2024.15094.2889
 
[6]. Kazemi, M. M. K., Nabavi, Z., Rezakhah, M., & Masoudi, A. (2023). Application of XGB-based metaheuristic techniques for prediction time-to-failure of mining machinery. Systems and Soft Computing, 5, 200061.
 
[7]. Moreno, E., Ferreira, F., Goycoolea, M., Espinoza, D., Newman, A., & Rezakhah, M. (2015). Linear programming approximations for modeling instant-mixing stockpiles. In Application of computers and operations research in the mineral industry-proceedings of the 37th international symposium, APCOM (Vol. 2009, pp. 582-587).
 
[8]. Tajik, S. , Monjezi, M. , Rezakhah, M. and Amiri Hosseini, M. (2023). Development of a Mathematical Model for Predicting Blast-Induced Fragmentation Considering Elastic Wave Velocities. JOURNAL OF ROCK MECHANICS7(No. 2), 71-82.
 
.[9] Jalali, Z &Samimi Namin, F(2023), Development of a new system for improving balastability by using Fuzzy delphi AHP method, International journal of Mining and geo engineering, 57(1), 47-53
 
[10]. Gokhale BV (2010) Rotary drilling and blasting in large surface mines. CRC Press,
 
 .[11]Da Gama D Use of comminution theory to predict fragmentation of jointed rock masses subjected to blasting. In: Proceedings, First International Symposium on Rock Fragmentation by Blasting, Lulea, Sweden, 1983. pp 565-579
 
 .[12]Kemeny JM, Devgan A, Hagaman RM, Wu X (1993) Analysis of rock fragmentation using digital image processing. Journal of Geotechnical Engineering 119 (7):1144-1160
 
.[13]Oraee K, Asi B Prediction of rock fragmentation in open pit mines, using neural network analysis. In: Fifteenth international symposium on mine planning and equipment selection (MPES 2006), 2006.
 
 .[14]Monjezi M, Bahrami A, Varjani AY (2010) Simultaneous prediction of fragmentation and flyrock in blasting operation using artificial neural networks. International Journal of Rock Mechanics and Mining Sciences 47 (3):476-480
 
 .[15]Monjezi M, Mohamadi HA, Barati B, Khandelwal M (2014) Application of soft computing in predicting
rock fragmentation to reduce environmental blasting side effects. Arabian Journal of Geosciences 7 (2):505-511
 
.[16]Gao W, Karbasi M, Hasanipanah M, Zhang X, Guo J (2018) Developing GPR model for forecasting the rock fragmentation in surface mines. Engineering with Computers 34 (2):339-345
 
.[17]Fang Q, Nguyen H, Bui X-N, Nguyen-Thoi T, Zhou J (2021) Modeling of rock fragmentation by firefly optimization algorithm and boosted generalized additive model. Neural Computing and Applications 33 (8):3503-3519(USRMS), 1984. OnePetro,
 
 .[18] Alavi, M., 1991- Sedimentary and structural characteristics of the Paleo-Tethys remnants in northeastern Iran. Geological Society of America Bulletin 103: 983- 992.
 
[19]. Weisberg S (2005) Applied linear regression, vol 528. John Wiley & Sons,
 
 .[20] Kutner, M. H., Nachtsheim, C. J., Neter, J., & Li, W. (2005). Applied linear statistical models. McGraw-hill.
 
[21]. Johnson, R. A., & Wichern, D. W. (2002). Applied multivariate statistical analysis.
 
[22]. Mehrdanesh A, Monjezi M, Sayadi AR (2017) Evaluation of effect of rock mass properties on fragmentation using robust techniques. Engineering with Computers:1-8
 
[23]. Haykin, S. (1994). Neural networks: a comprehensive foundation. Prentice Hall PTR.
  .[24]Faradonbeh RS, Monjezi M (2017) Prediction and minimization of blast-induced ground vibration using two robust meta-heuristic algorithms. Engineering with Computers:1
 .[1]da Gama CD Microcomputer simulation of rock blasting to predict fragmentation. In: The 25th US Symposium on Rock Mechanics (USRMS), 1984. OnePetro,
  .[2]Kemeny JM, Devgan A, Hagaman RM, Wu X (1993) Analysis of rock fragmentation using digital image processing. Journal of Geotechnical Engineering 119 (7):1144-1160
  .[3]Cho SH, Kaneko K (2004) Rock fragmentation control in blasting. Materials transactions 45 (5):1722-1730
[4]. [1].Rezakhah, M., Khajevand, S., Monjezi, M., & Manríquez León, F. A. (2024). Enhancing transportation fleet   efficiency in open-pit mining via simulation: A case study. Journal of Mining and Environment.
[5]. Rezakhah, M. , khajevand, S. , Monjezi, M. and Manríquez León, F. A. (2024). Enhancing transportation fleet efficiency in open-pit mining via simulation: A case study. Journal of Mining and Environment, (), -. doi: 10.22044/jme.2024.15094.2889
[6]. Kazemi, M. M. K., Nabavi, Z., Rezakhah, M., & Masoudi, A. (2023). Application of XGB-based metaheuristic techniques for prediction time-to-failure of mining machinery. Systems and Soft Computing, 5, 200061.
[7]. Moreno, E., Ferreira, F., Goycoolea, M., Espinoza, D., Newman, A., & Rezakhah, M. (2015). Linear programming approximations for modeling instant-mixing stockpiles. In Application of computers and operations research in the mineral industry-proceedings of the 37th international symposium, APCOM (Vol. 2009, pp. 582-587).
[8]. Tajik, S. , Monjezi, M. , Rezakhah, M. and Amiri Hosseini, M. (2023). Development of a Mathematical Model for Predicting Blast-Induced Fragmentation Considering Elastic Wave Velocities. JOURNAL OF ROCK MECHANICS7(No. 2), 71-82.
.[9] Jalali, Z &Samimi Namin, F(2023), Development of a new system for improving balastability by using Fuzzy delphi AHP method, International journal of Mining and geo engineering, 57(1), 47-53
[10]. Gokhale BV (2010) Rotary drilling and blasting in large surface mines. CRC Press,
  .[11]Da Gama D Use of comminution theory to predict fragmentation of jointed rock masses subjected to blasting. In: Proceedings, First International Symposium on Rock Fragmentation by Blasting, Lulea, Sweden, 1983. pp 565-579
  .[12]Kemeny JM, Devgan A, Hagaman RM, Wu X (1993) Analysis of rock fragmentation using digital image processing. Journal of Geotechnical Engineering 119 (7):1144-1160
 .[13]Oraee K, Asi B Prediction of rock fragmentation in open pit mines, using neural network analysis. In: Fifteenth international symposium on mine planning and equipment selection (MPES 2006), 2006.
  .[14]Monjezi M, Bahrami A, Varjani AY (2010) Simultaneous prediction of fragmentation and flyrock in blasting operation using artificial neural networks. International Journal of Rock Mechanics and Mining Sciences 47 (3):476-480
  .[15]Monjezi M, Mohamadi HA, Barati B, Khandelwal M (2014) Application of soft computing in predicting
rock fragmentation to reduce environmental blasting side effects. Arabian Journal of Geosciences 7 (2):505-511
 .[16]Gao W, Karbasi M, Hasanipanah M, Zhang X, Guo J (2018) Developing GPR model for forecasting the rock fragmentation in surface mines. Engineering with Computers 34 (2):339-345
 .[17]Fang Q, Nguyen H, Bui X-N, Nguyen-Thoi T, Zhou J (2021) Modeling of rock fragmentation by firefly optimization algorithm and boosted generalized additive model. Neural Computing and Applications 33 (8):3503-3519(USRMS), 1984. OnePetro,
 
 .[18] Alavi, M., 1991- Sedimentary and structural characteristics of the Paleo-Tethys remnants in northeastern Iran. Geological Society of America Bulletin 103: 983- 992.
 [19]. Weisberg S (2005) Applied linear regression, vol 528. John Wiley & Sons,
  .[20] Kutner, M. H., Nachtsheim, C. J., Neter, J., & Li, W. (2005). Applied linear statistical models. McGraw-hill.
 [21]. Johnson, R. A., & Wichern, D. W. (2002). Applied multivariate statistical analysis.
 [22]. Mehrdanesh A, Monjezi M, Sayadi AR (2017) Evaluation of effect of rock mass properties on fragmentation using robust techniques. Engineering with Computers:1-8
[23]. Haykin, S. (1994). Neural networks: a comprehensive foundation. Prentice Hall PTR.
 [24]Faradonbeh RS, Monjezi M (2017) Prediction and minimization of blast-induced ground vibration using two robust meta-heuristic algorithms. Engineering with Computers:1