Vance Press
Register Login

Rock Mechanics Letters

Open Access Research Article

Coupling Bayesian Neural Network and Linear Regression Approach for High-Strength Rock Fragmentation Energy Optimization

by Blessing Olamide Taiwo 1 Yewuhalashet Fissha 2, 3,* Esma Kahraman 4 Hawraa H. Abbas 5,6 Victor Afolabi Jebutu 7 Adams Abiodun Akinlabi 1 Shahab Hosseini 8  and  Ahsan Rabbani 9,*
1
Department of Mining Engineering, Federal University of Technology, Akure Nigeria
2
Department of Geosciences, Geotechnology and Materials Engineering for Resources, Graduate School of International Resource Sciences, Akita University, Japan
3
Department of Mining Engineering, Aksum University, 7080, Aksum, Tigray, Ethiopia
4
Department of Mining Engineering, Cukurova University, Adana 01250, Turkey
5
College of Information Technology Engineering, Al-Zahraa University for Women 56001 Karbala, Iraq
6
Department of Electrical and Electronics Engineering, University of Kerbala, Karbala 56001, Iraq
7
Department of Engineering Management, University of Bolton, England
8
Faculty of Engineering, Tarbiat Modares University, Tehran
9
Department of Civil Engineering, Sai Nath University, Ranchi (Jharkhand), India
*
Author to whom correspondence should be addressed.
Received: 28 September 2024 / Accepted: 5 May 2025 / Published Online: 17 June 2025

Abstract

The utilization of blasting has been prevalent in mining and civil engineering domains due to its cost-effectiveness and affordability as a method for fracturing rock. The achievement of an ideal blast results in the most effective fragmentation while ensuring safety, cost-effectiveness, and environmental sustainability. In developing blast efficiency model, this study considered uniaxial compressive strength (UCS), spacing, hole depth, stemming length, point load index, powder factor, charge weight and burden. The model was trained by artificial neural network (ANN) and linear multivariate regression (LMVR) using 85 production datasets. After training four-layer ANN architecture 8-4-1 was found to be optimum. The prediction accurateness of two developed models was analysed using mean square error (MSE), performance index (PI), variance accounted for (VAF), root mean square error (RMSE), and co-efficient of determination (R2). The obtained values of performance parameters reveals ANN model to be more accurate as compared to the LMVR model. The ANN and LMVR model have R2 value of 90.9% and 56.3%. The optimized model was employed to achieve the optimal blast design for high strength granite to enhance blast efficiency. The test data result was utilized to optimize the blast parameters, including spacing, stemming length, burden, charge length, and charge. The values chosen for these parameters were 1.8 m, 1.8 m, 1.5 m, 157.17 kg, and 1.35 kg/m3, respectively, based on the optimum model.


Copyright: © 2025 by Taiwo, Fissha, Kahraman, Abbas, Jebutu, Akinlabi, Hosseini and Rabbani. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY) (Creative Commons Attribution 4.0 International License). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
Show Figures

Share and Cite

ACS Style
Taiwo, B. O.; Fissha, Y.; Kahraman, E.; Abbas, H. H.; Jebutu, V. A.; Akinlabi, A. A.; Hosseini, S.; Rabbani, A. Coupling Bayesian Neural Network and Linear Regression Approach for High-Strength Rock Fragmentation Energy Optimization. Rock Mechanics Letters, 2025, 2, 14. doi:10.70425/rml.202502.14
AMA Style
Taiwo B O, Fissha Y, Kahraman E et al.. Coupling Bayesian Neural Network and Linear Regression Approach for High-Strength Rock Fragmentation Energy Optimization. Rock Mechanics Letters; 2025, 2(2):14. doi:10.70425/rml.202502.14
Chicago/Turabian Style
Taiwo, Blessing O.; Fissha, Yewuhalashet; Kahraman, Esma; Abbas, Hawraa H.; Jebutu, Victor A.; Akinlabi, Adams A.; Hosseini, Shahab, and et al. 2025. "Coupling Bayesian Neural Network and Linear Regression Approach for High-Strength Rock Fragmentation Energy Optimization" Rock Mechanics Letters 2, no.2:14. doi:10.70425/rml.202502.14
APA Style
Taiwo, B. O., Fissha, Y., Kahraman, E., Abbas, H. H., Jebutu, V. A., Akinlabi, A. A., Hosseini, S., & Rabbani, A. (2025). Coupling Bayesian Neural Network and Linear Regression Approach for High-Strength Rock Fragmentation Energy Optimization. Rock Mechanics Letters, 2(2), 14. doi:10.70425/rml.202502.14

Article Metrics

Article Access Statistics

References

  1. Kahraman S, Bilgin N, Feridunoglu C. Dominant rock properties affecting the penetration rate of percussive drills. Int J Rock Mech Min. 2003; 40(5):711-723. https://doi.org/10.1016/S1365-1609(03)00063-7
  2. Yu Z, Shi X, Miao X, et al. Intelligent modeling of blast-induced rock movement prediction using dimensional analysis and optimized ar-tificial neural network technique. Int J Rock Mech Min Sci. 2021; 143:104794. https://doi.org/10.1016/j.ijrmms.2021.104794
  3. Kahraman E, Kilic AM. Evaluation of empirical approaches in estimating mean particle size after blasting by using nondestructive methods. Arab J Geosci. 2020; 13(14):613. https://doi.org/10.1007/s12517-020-05636-9
  4. Choudhary BS. () Effect of blast induced rock fragmentation and muckpile angle on excavator performance in surface mines. Min. Miner. Depos. 2019; 13(3):119-126. https://doi.org/10.33271/mining13.03.119
  5. Taiwo BO, Angesom G, Fissha Y, et al. Artificial neural network modeling as an approach to Limestone blast production rate predic-tion: A comparison of PI-BANN, and MVR models. Journal of Mining and Environment. 2023a; 14(2): 355-373. https://doi.org/10.22044/jme.2023.12489.2266
  6. Shehu SA, Hashim MHM. Evaluation of blast efficiency in aggregate quarries: facts and fictions. Arab J Geosci. 2021; 14:1-18. https://doi.org/10.1007/s12517-021-06526-4
  7. Afrasiabian B, Ahangari K, Noorzad A. Evaluation of effects of the parameters blast damage factor, sub-drilling, decoupling, and in-ter-hole delay time on the peak particle velocity using the numerical modeling. J Min Environ. 2023; 14(2):545-563. https://doi.org/10.22044/jme.2023.12265.2225
  8. Nguyen H, Bui XN, Topal E. Reliability and availability artificial intelligence models for predicting blast-induced ground vibration intensity in open-pit mines to ensure the safety of the surroundings. Reliab Eng Syst Saf 2023; vol. 231, p. 109032. https://doi.org/10.1016/j.ress.2022.109032
  9. Zhang H, Zhou J, Armaghani DJ. A combination of feature selection and random forest techniques to solve a problem related to blast-induced ground vibration. Appl Sci-Basel. 2020; 10:869. https://doi: 10.3390/app10030869
  10. Zhou J, Asteris PG, Armaghani DJ, et al. Prediction of ground vi-bration induced by blasting operations through the use of the Bayesian Network and random forest models. Soil Dyn Earthq Eng. 2020; 139: 106390.https://doi: 10.1016/j.soildyn.2020.106390
  11. Huang J, Koopialipoor M, Armaghani DJ, et al. A combination of fuzzy Delphi method and hybrid ANN-based systems to forecast ground vibration resulting from blasting. Sci Rep. 2020; 10(1): 19397. https://doi.org/10.1038/s41598-020-76569-2
  12. Zhou J, Li C, Koopialipoor M, et al. Development of a new meth-odology for estimating the amount of PPV in surface mines based on prediction and probabilistic models ( GEP- MC ). Int. J. Min. Reclam. Environ. 2021; 35(1): 48–68. https://doi.org/10.1080/17480930.2020.1734151
  13. Nguyen H, Bui XN, Tran QH, et al. A new soft computing model for estimating and controlling blast-produced ground vibration based on hierarchical K-means clustering and cubist algorithms. Appl Soft Comput. 2019; 77:376-386. https://doi.org/10.1016/j.asoc.2019.01.042
  14. Nguyen H, Choi Y, Bui XN, et al. Predicting blast-induced ground vibration in open-pit mines using vibration sensors and support vector regression-based optimization algorithms. Sensors. 2020; 20(1):132. https://doi.org/10.3390/s20010132
  15. Armaghani DJ, Hasanipanah M, Amnieh HB, et al. Feasibility of ICA in approximating ground vibration resulting from mine blasting. Neural Comput Appl. 2018; 29(9):457-465. https://doi.org/10.1007/s00521-016-2577-0.
  16. Hasanipanah M, Faradonbeh RS, Amnieh HB, et al. Forecasting blast-induced ground vibration developing a CART model. Eng Comput. 2017; 33(2):307-316. https://doi.org/10.1007/s00366-016-0475-9.
  17. Ghoraba S, Monjezi M, Talebi N, et al. Estimation of ground vibration produced by blasting operations through intelligent and empirical models. Environ Earth Sci. 2016; 75(15):1137. https://doi.org/10.1007/s12665-016-5961-2
  18. Faradonbeh RS, Armaghani DJ, Majid MZA, et al. Prediction of ground vibration due to quarry blasting based on gene expression programming: a new model for peak particle velocity prediction. Int J Environ Sci Technol. 2016; 13(6):1453-1464. https://doi.org/10.1007/s13762-016-0979-2
  19. Hajihassani M, Armaghani DJ, Marto A, et al. Ground vibration prediction in quarry blasting through an artificial neural network optimized by imperialist competitive algorithm. Bull Eng Geol En-viron. 2015; 74(3):873-886. https://doi.org/10.1007/s10064-014-0657-x
  20. Hajihassani M, Armaghani DJ, Monjezi M, et al. Blast-induced air and ground vibration prediction: a particle swarm optimization-based artificial neural network approach. Environ Earth Sci. 2015; 74(4):2799-2817. https://doi.org/10.1007/s12665-015-4274-1
  21. Hasanipanah M, Monjezi M, Shahnazar A, et al. Feasibility of indirect determination of blast induced ground vibration based on support vector machine. Measurement. 2015; 75:289-295. https://doi.org/10.1016/j.measurement.2015.07.019
  22. Armaghani DJ, Momeni E, Khandelwal M, et al. Feasibility of ANFIS model for prediction of ground vibrations resulting from quarry blasting. Environ. Earth Sci. 2015; 74(4): 2845-2860. https://doi.org/10.1007/s12665-015-4305-y
  23. Armaghani DJ, Hajihassani M, Mohamad ET, et al. Blasting-induced flyrock and ground vibration prediction through an expert artificial neural network based on particle swarm optimization. Arab J Geosci. 2014; 7(12):5383-5396. https://doi.org/10.1007/s12517-013-1174-0
  24. Mohamadnejad M, Gholami R, Ataei M. Comparison of intelligence science techniques and empirical methods for prediction of blasting vibrations. Tunn Undergr Sp Technol. 2012; 28: 238–244
  25. Monjezi M, Hasanipanah M, Khandelwal M. Evaluation and pre-diction of blast-induced ground vibration at Shur River Dam, Iran, by artificial neural network. Neural Comput Appl. 2013; 22(7-8):1637-1643. https://doi.org/10.1007/s00521-012-0856-y
  26. Mohamed MT. Performance of fuzzy logic and artificial neural network in prediction of ground and air vibrations. Int J Rock Mech Min Sci. 2011; 48(5): 845-851. https://doi.org/10.1016/j.ijrmms.2011.04.016
  27. Fisne A, Kuzu C, Hudaverdi T. Prediction of environmental impacts of quarry blasting operation using fuzzy logic. Environ Monit Assess. 2011; 174(1-4): 461-470. https://doi.org/10.1007/s10661-010-1470-z
  28. Iphar M, Yavuz M, Ak H. Prediction of ground vibrations resulting from the blasting operations in an open-pit mine by adaptive neu-ro-fuzzy inference system. Environ Geol. 2008; 56(1): 97-107. https://doi.org/10.1007/s00254-007-1143-6
  29. Siddiqui FI. Measurement of size distribution of blasted rock using digital image processing. Eng Sci. 2009; 20(2): 81-93. https://doi.org/10.4197/Eng.20-2.4
  30. Bamford T, Esmaeili K, Schoellig AP. A deep learning approach for rock fragmentation analysis. Int J Rock Mech Min. 2021; 145: 104839. https://doi.org/10.1016/j.ijrmms.2021.104839
  31. Bharath M, Karthik G, Ravi Kiran C. (2020). Fragmentation Analysis by Wip-Frag Software. Journal of Mines, Metals and Fuels. 2020; 68(1): 33–36. https://doi.org/10.18311/jmmf/2020/26928
  32. Matsimbe J, Shaba M, Musonda I, et al. Comparative application of digital image processing and Kuz-Ram model in blast fragmentation analysis: case of Shayona cement quarry. In International Conference on Computing in Civil and Building Engineering Cham: Springer Nature Switzerland. 2022; 173-194. https://doi.org/10.1007/978-3-031-32515-113
  33. Taiwo BO, Fissha Y, Palangio T, et al. Assessment of Charge Initia-tion Techniques Effect on Blast Fragmentation and Environmental Safety: An Application of WipFrag Software. Mining. 2023b; 3(3): 532-551.
  34. Kahraman E, Kilic AM. Determination of the effective blasting region by using fragmentation analysis: a field study. Iran J Sci. 2023; 47(3): 791-799. https://doi.org/10.1007/s40995-023-01473-z
  35. Jamshidi A, Sedaghatnia M. The Slake Durability of Argillaceous and Non-argillaceous Rocks: Insights From Effects of the Wetting–Drying and Rock Lumps Abrasion. Rock Mech Rock Eng. 2023; 56: 5115–5131. https://doi.org/10.1007/s00603-023-03318-y
  36. Bakri AY, Sazid M. Application of Artificial Neural Network (ANN) for Prediction and Optimization of Blast-Induced Impacts. Mining. 2021, 1: 315-334. https://doi.org/10.3390/mining1030020
  37. Shakeri S, Koochi MHR, Ansari H, et al. Optimal power quality monitor placement to ensure reliable monitoring of sensitive loads in the presence of voltage sags and harmonic resonances conditions. Electr Power Syst Res. 2022; 212: 108623. https://doi.org/10.1016/j.epsr.2022.108623
  38. Hosseini S, Khatti J, Taiwo BO, et al. Assessment of the ground vibration during blasting in mining projects using different compu-tational approaches. Sci Rep. 2023; 13(1): 18582. https://doi.org/10.1038/s41598-023-46064-5
  39. Taiwo BO. Effect of charge load proportion and blast controllable factor design on blast fragment size distribution. Journal of Brilliant Engineering. 2022; 3(4658):1.
  40. Schober P, Boer C, Schwarte LA. Correlation coefficients: appro-priate use and interpretation. Anesth Analg. 2018; 126(5): 1763-1768. https://doi.org/10.1213/ANE.0000000000002864
  41. Omowa JB, Owolabi BO, Anthony AP, et al. Effects of population growth on housing demands In Ondo State, Nigeria. Net J Soc Sci. 2023; 11(1): 34-48. https://doi.org/10.30918/NJSS.111.22.005