Abstract
Desired rock fragmentation is the main goal of the blasting operation in surface mines, civil and tunneling works. Therefore, precise prediction of rock fragmentation is very important to achieve an economically successful outcome. The primary objective of this article is to propose a new model for forecasting the rock fragmentation using adaptive neuro-fuzzy inference system (ANFIS) in combination with particle swarm optimization (PSO). The proposed PSO–ANFIS model has been compared with support vector machines (SVM), ANFIS and nonlinear multiple regression (MR) models. To construct the predictive models, 72 blasting events were investigated, and the values of rock fragmentation as well as five effective parameters on rock fragmentation, i.e., specific charge, stemming, spacing, burden and maximum charge used per delay were measured. Based on several statistical functions [e.g., coefficient of correlation (R 2) and root-mean-square error (RMSE)], it was found that the PSO–ANFIS (with R 2 = 0.89 and RMSE = 1.31) performs better than the SVM (with R 2 = 0.83 and RMSE = 1.66), ANFIS (with R 2 = 0.81 and RMSE = 1.78) and nonlinear MR (with R 2 = 0.57 and RMSE = 3.93) models. Finally, the sensitivity analysis shows that the burden and maximum charge used per delay have the least and the most effects on the rock fragmentation, respectively.
Similar content being viewed by others
References
Singh TN, Singh V (2005) An intelligent approach to prediction and control ground vibration in mines. Geotech Geolog Eng 23:249–262
Singh TN, Verma AK (2010) Sensitivity of total charge and maximum charge per delay on ground vibration. Geomat Nat Hazards Risk 1(3):259–272
Faradonbeh RS, Armaghani DJ, Majid MA, Tahir MM, Murlidhar BR, Monjezi M, Wong HM (2016) 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. doi:10.1007/s13762-016-0979-2
Khandelwal M, Singh TN (2013) Application of an expert system to predict maximum explosive charge used per delay in surface mining. Rock Mech Rock Eng 46(6):1551–1558
Trivedi R, Singh TN, Raina AK (2014) Prediction of blast-induced flyrock in Indian limestone mines using neural networks. J Rock Mech Geotech Eng 6:447–454
Trivedi R, Singh TN, Gupta NI (2015) Prediction of blast induced flyrock in opencast mines using ANN and ANFIS. Geotech Geol Eng 33:875–891
Trivedi R, Singh TN, Raina AK (2016) Simultaneous prediction of blast-induced flyrock and fragmentation in opencast limestone mines using back propagation neural network. Int J Min Miner Eng 7(3):237–252
Amiri M, Bakhshandeh Amnieh H, Hasanipanah M, Mohammad Khanli L (2016) A new combination of artificial neural network and K-nearest neighbors models to predict blast-induced ground vibration and air-overpressure. Eng Comput. doi:10.1007/s00366-016-0442-5
Dindarloo SR (2015) Prediction of blast-induced ground vibrations via genetic programming. Int J Min Sci Technol 25:1011–1015
Dindarloo SR (2015) Peak particle velocity prediction using support vector machines: a surface blasting case study. J South Afr Inst Min Metall 115:637–643
Monjezi M, Rezaei M, Yazdian Varjani A (2009) Prediction of rock fragmentation due to blasting in Gol-E-Gohar iron mine using fuzzy logic. Int J Rock Mech Min Sci 46:1273–1280
Bahrami A, Monjezi M, Goshtasbi K, Ghazvinian A (2011) Prediction of rock fragmentation due to blasting using artificial neural network. Eng Comput 27:177–181
Karami A, Afiuni-Zadeh S (2013) Sizing of rock fragmentation modeling due to bench blasting using adaptive neuro fuzzy inference system (ANFIS). Int J Min Sci Technol 23(6):809–813
Esmaeili M, Salimi A, Drebenstedt C, Abbaszadeh M, Aghajani Bazzazi A (2014) Application of PCA, SVR, and ANFIS for modeling of rock fragmentation. Arab J Geosci. doi:10.1007/s12517-014-1677-3
Shams S, Monjezi M, Johari Majd V, Jahed Armaghani D (2015) Application of fuzzy inference system for prediction of rock fragmentation induced by blasting. Arab J Geosci. doi:10.1007/s12517-015-1952-y
Hasanipanah M, Jahed Armaghani D, Monjezi M, Shams S (2016) Risk assessment and prediction of rock fragmentation produced by blasting operation: a rock engineering system. Environ Earth Sci 75(9):1–12
Mishnaevsky JR, Schmauder S (1996) Analysis of rock fragmentation with the use of the theory of fuzzy sets. In: Barla (ed) Proceedings of the Eurock 96:735–740
Roy PP, Dhar BB (1996) Fragmentation analyzing scale—a new tool for breakage assessment. Proceedings 5th International Symposium on Rock Fragmentation by blasting-FRAGBLAST 5, Balkema, Rotterdam
Morin AM, Ficarazzo F (2006) Monte Carlo simulation as a tool to predict blasting fragmentation based on the Kuz–Ram model. Comput Geosci 32:352–359
Verma AK, Singh TN (2011) Intelligent systems for ground vibration measurement: a comparative study. Eng Comput 27(3):225–233
Singh R, Kainthola A, Singh TN (2012) Estimation of elastic constant of rocks using an ANFIS approach. Appl Soft Comput 12(1):40–45
Verma AK, Singh TN (2013) A neuro-fuzzy approach for prediction of longitudinal wave velocity. Neural Comput Appl 22(7–8):1685–1693
Verma AK, Singh TN (2013) Comparative study of cognitive systems for ground vibration measurements. Neural Comput Appl 22(1):341–350
Singh J, Verma AK, Banka H, Singh TN, Maheshwar S (2016) A study of soft computing models for prediction of longitudinal wave velocity. Arab J Geosci 9(3):1–11
Monjezi M, Bahrami A, Yazdian Varjani A (2010) Simultaneous prediction of fragmentation and flyrock in blasting operation using artificial neural networks. Int J Rock Mech Min Sci 47(3):476–480
Shi XZ, Zhou J, Wu B, Huang D, Wei W (2012) Support vector machines approach to mean particle size of rock fragmentation due to bench blasting prediction. Trans Nonferrous Met Soc China 22:432–441
Bakhtavar E, Khoshrou H, Badroddin M (2015) Using dimensional-regression analysis to predict the mean particle size of fragmentation by blasting at the Sungun copper mine. Arab J Geosci 8:2111–2120
Hajihassani M, Jahed Armaghani D, Marto A, Tonnizam Mohamad E (2014) Ground vibration prediction in quarry blasting through an artificial neural network optimized by imperialist competitive algorithm. Bull Eng Geol Environ. doi:10.1007/s10064-014-0657-x
Fouladgar N, Hasanipanah M, Bakhshandeh Amnieh H (2016) Application of cuckoo search algorithm to estimate peak particle velocity in mine blasting. Eng Comput. doi:10.1007/s00366-016-0463-0
Hasanipanah M, Shahnazar A, Bakhshandeh Amnieh H, Jahed Armaghani D (2016) Prediction of air-overpressure caused by mine blasting using a new hybrid PSO–SVR model. Eng Comput. doi:10.1007/s00366-016-0453-2
Jahed Armaghani D, Hasanipanah M, Tonnizam Mohamad E (2016) A combination of the ICA-ANN model to predict air-overpressure resulting from blasting. Eng Comput 32(1):155–171
Swingler K (1996) Applying neural networks: a practical guide. Academic Press, New York
Kennedy J, Eberhart RC (1995) Particle swarm optimization, In: Proceedings of IEEE international conference on neural networks, Perth, Australia, pp 1942–1948
Eberhart RC, Shi Y (2001) Particle swarm optimization: developments, applications and resources. In: Proceedings of IEEE international conference on evolutionary computation, pp 81–86
Mendes R, Cortes P, Rocha M, Neves J (2002) Particle swarms for feed forward neural net training. In: Proceedings of IEEE international joint conference on neural networks, Honolulu, HI, USA, 12–17 May 2002, pp 1895–1899
Zhang JR, Zhang J, Lok TM, Lyu MR (2007) A hybrid particle swarm optimization–back-propagation algorithm for feedforward neural network training. Appl Math Comput 185(2):1026–1037
Hajihassani M, JahedArmaghani D, Sohaei H, Tonnizam Mohamad E, Marto A (2014) prediction of airblast-overpressure induced by blasting using a hybrid artificial neural network and particle swarm optimization. Appl Acoust 80:57–67
Jahed Armaghani D, Hajihassani M, Yazdani Bejarbaneh B, Marto A, Tonnizam Mohamad E (2014) Indirect measure of shale shear strength parameters by means of rock index tests through an optimized artificial neural network. Measurement 55:487–498
Momeni E, Jahed Armaghani D, Hajihassani M, Amin MFM (2015) Prediction of uniaxial compressive strength of rock samples using hybrid particle swarm optimization-based artificial neural networks. Measurement 60:50–63
Yagiz S, Gokceoglu C, Sezer E, Iplikci S (2009) Application of two non-linear prediction tools to the estimation of tunnel boring machine performance. Eng Appl Artif Intell 22:808–814
Kalatehjari R, Ali N, Kholghifard M, Hajihassani M (2014) The effects of method of generating circular slip surfaces on determining the critical slip surface by particle swarm optimization. Arab J Geosci 7(4):1529–1539
Feng XT, Chen BR, Yang C, Zhou H, Ding X (2006) Identification of visco-elastic models for rocks using genetic programming coupled with the modified particle swarm optimization algorithm. Int J Rock Mech Min Sci 43:789–801
Yagiz S, Karahan H (2011) Prediction of hard rock TBM penetration rate using particle swarm optimization. Int J Rock Mech Min Sci 48(3):427–433
Babanouri N, Karimi Nasab S, Sarafrazi S (2013) A hybrid particle swarm optimization and multi-layer perceptron algorithm for bivariate fractal analysis of rock fractures roughness. Int J Rock Mech Min Sci 60:66–74
Li L, Zhong D, Zhang C (2013) Determination of blasting vibration parameters using particle swarm optimization. In: Proceedings of the 3rd international conference on information science and technology (ICIST 2013), Yangzhou, China, pp 326–329
Khan A, Niemann-Delius C (2014) Application of particle swarm optimization to the open pit mine scheduling problem. In: Proceedings of the 12th international symposium continuous surface mining (ISCSM 2014), Aachen, Germany, pp 195–212
Gordan B, Jahed Armaghani D, Hajihassani M, Monjezi M (2015) Prediction of seismic slope stability through combination of particle swarm optimization and neural network. Eng Comput. doi:10.1007/s00366-015-0400-7
Hasanipanah M, Noorian-Bidgoli M, Jahed Armaghani D, Khamesi H (2016) Feasibility of PSO-ANN model for predicting surface settlement caused by tunneling. Eng Comput. doi:10.1007/s00366-016-0447-0
Jang JSR (1993) ANFIS: adaptive-network-based fuzzy inference system. IEEE Trans Syst Man Cybern 23:665–685
Mahapatra S, Daniel R, Narayan Dey D, Kumar Nayak S (2015) Induction motor control using PSO–ANFIS. Proc Comput Sci 48:754–769
Jang RJS, Sun CT, Mizutani E (1997) Neuro-fuzzy and soft computing. Prentice-Hall, Upper Saddle River, p 614
Iphar M, Yavuz M, Ak H (2008) Prediction of ground vibrations resulting from the blasting operations in an open-pit mine by adaptive neuro fuzzy inference system. Environ Geol 56:97–107
Jahed Armaghani D, Momeni E, Abad SVANK, Khandelwal M (2015) Feasibility of ANFIS model for prediction of ground vibrations resulting from quarry blasting. Environ Earth Sci 74(4):2845–2860
Vapnik VN (1998) Statistical learning theory. Wiley, New York
Khandelwal M, Kankar PK (2011) Prediction of blast-induced air overpressure using support vector machine. Arab J Geosci 4:427–433
Amini H, Gholami R, Monjezi M, Torabi SR, Zadhesh J (2012) Evaluation of flyrock phenomenon due to blasting operation by support vector machine. Neural Comput Appl 21:2077–2085
Khandelwal M, Monjezi M (2013) Prediction of backbreak in open-pit blasting operations using the machine learning method. Rock Mech Rock Eng 46:389–396
SPSS Inc (2007) SPSS for windows (version 16.0). SPSS Inc, Chicago
Yang Y, Zang O (1997) A hierarchical analysis for rock engineering using artificial neural networks. Rock Mech Rock Eng 30:207–222
Acknowledgements
The authors would like to extend their appreciation to manager, engineers and personnel of Shur river dam, especially Mr. Alireza Farazmand, for providing the needed information and facilities that made this research possible.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
The authors declare that they have no conflict of interest.
Rights and permissions
About this article
Cite this article
Hasanipanah, M., Amnieh, H.B., Arab, H. et al. Feasibility of PSO–ANFIS model to estimate rock fragmentation produced by mine blasting. Neural Comput & Applic 30, 1015–1024 (2018). https://doi.org/10.1007/s00521-016-2746-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00521-016-2746-1