Skip to main content
Log in

A Combination of Fuzzy Delphi Method and ANN-based Models to Investigate Factors of Flyrock Induced by Mine Blasting

  • Original Paper
  • Published:
Natural Resources Research Aims and scope Submit manuscript

Abstract

The identification of parameters that affect mining is one of the requirements in executive work in this field. Due to the dangers of flyrock, studying the role of the factors that affect it will be useful to control this serious environmental issue of blasting. In this research, using hybrid intelligence techniques, a new guide to investigate the parameters that affect the occurrence and characteristics of flyrock is presented. Hybrid models were improved based on five types of optimization algorithms, namely particle swarm optimization, artificial bee colony, the imperialist competitive algorithm, firefly algorithm (FA), and genetic algorithm. The process of designing the structure of the models was controlled under the fuzzy Delphi method. This filter helps to determine the most important factors that play a key role in the flyrock phenomenon and its accurate prediction. The best optimization technique was selected based on applying two popular performance indices, i.e., the root-mean-square error and coefficient of determination (R2). As a result, the best combination obtained was the FA-artificial neural network (ANN), which was able to provide the best optimization of the weights and biases of the ANN among all the proposed models. In addition, this system showed the lowest network error in the prediction of flyrock compared to other ANN-based models. The new combination (FA-ANN) can be used as a powerful and practical technique to predict the flyrock distance prior to blasting operations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Figure 1
Figure 2
Figure 3
Figure 4
Figure 5
Figure 6
Figure 7
Figure 8
Figure 9
Figure 10
Figure 11
Figure 12
Figure 13
Figure 14
Figure 15

Similar content being viewed by others

References

  • Apostolopoulour, M., Douvika, M. G., Kanellopoulos, I. N., Moropoulou, A., & Asteris, P. G. (2018). Prediction of compressive strength of mortars using artificial neural networks. In Proceedings of the 1st International Conference TMM_CH, Transdisciplinary Multispectral Modelling and Cooperation for the Preservation of Cultural Heritage, Athens, Greece, pp. 10–13.

  • Armaghani, D. J., Hajihassani, M., Mohamad, E. T., Marto, A., & Noorani, S. A. (2014). Blasting-induced flyrock and ground vibration prediction through an expert artificial neural network based on particle swarm optimization. Arabian Journal of Geosciences, 7(12), 5383–5396.

    Google Scholar 

  • Armaghani, D. J., Koopialipoor, M., Bahri, M., Hasanipanah, M., & Tahir, M. M. (2020). A SVR-GWO technique to minimize flyrock distance resulting from blasting. Bulletin of Engineering Geology and the Environment. https://doi.org/10.1007/s10064-020-01834-7.

    Article  Google Scholar 

  • Armaghani, D. J., Koopialipoor, M., Marto, A., & Yagiz, S. (2019). Application of several optimization techniques for estimating TBM advance rate in granitic rocks. Journal of Rock Mechanics and Geotechnical Engineering. https://doi.org/10.1016/j.jrmge.2019.01.002.

    Article  Google Scholar 

  • Armaghani, D. J., Mahdiyar, A., Hasanipanah, M., Faradonbeh, R. S., Khandelwal, M., & Amnieh, H. B. (2016a). Risk assessment and prediction of flyrock distance by combined multiple regression analysis and Monte Carlo simulation of quarry blasting. Rock Mechanics and Rock Engineering, 49(9), 1–11.

    Google Scholar 

  • Armaghani, D., Mohamad, E., & Hajihassani, M. (2016b). Evaluation and prediction of flyrock resulting from blasting operations using empirical and computational methods. Engineering with Computers, 32, 109–121.

    Google Scholar 

  • Armaghani, D. J., Mohamad, E. T., Momeni, E., & Narayanasamy, M. S. (2015). An adaptive neuro-fuzzy inference system for predicting unconfined compressive strength and Young’s modulus: A study on Main Range granite. Bulletin of Engineering Geology and the Environment, 74(4), 1301–1319.

    Google Scholar 

  • Armaghani, D. J., Mohamad, E. T., Narayanasamy, M. S., Narita, N., & Yagiz, S. (2017). Development of hybrid intelligent models for predicting TBM penetration rate in hard rock condition. Tunnelling and Underground Space Technology, 63, 29–43.

    Google Scholar 

  • Asl, P. F., Monjezi, M., Hamidi, J. K., & Armaghani, D. J. (2018). Optimization of flyrock and rock fragmentation in the Tajareh limestone mine using metaheuristics method of firefly algorithm. Engineering with Computers. https://doi.org/10.1007/s00366-017-0535-9.

    Article  Google Scholar 

  • Asteris, P. G., Douvika, M. G., Karamani, C. A., Skentou, A. D., Chlichlia, K., Cavaleri, L., et al. (2020). A novel heuristic algorithm for the modeling and risk assessment of the COVID-19 pandemic phenomenon. Computer Modeling in Engineering & Sciences. https://doi.org/10.32604/cmes.2020.013280.

    Article  Google Scholar 

  • Asteris, P. G., & Kolovos, K. G. (2019). Self-compacting concrete strength prediction using surrogate models. Neural Computing and Applications, 31(1), 409–424.

    Google Scholar 

  • Asteris, P. G., Kolovos, K. G., Douvika, M. G., & Roinos, K. (2016). Prediction of self-compacting concrete strength using artificial neural networks. European Journal of Environmental and Civil Engineering, 20(1), 102–122.

    Google Scholar 

  • Asteris, P. G., & Nikoo, M. (2019). Artificial bee colony-based neural network for the prediction of the fundamental period of infilled frame structures. Neural Computing and Applications. https://doi.org/10.1007/s00521-018-03965-1.

    Article  Google Scholar 

  • Atashpaz-Gargari, E., & Lucas, C. (2007). Imperialist competitive algorithm: an algorithm for optimization inspired by imperialistic competition. In Evolutionary Computation, 2007. CEC 2007. IEEE Congress On, pp. 4661–4667. IEEE.

  • Bashir, Z. A., & El-Hawary, M. E. (2009). Applying wavelets to short-term load forecasting using PSO-based neural networks. IEEE Transactions on Power Systems, 24(1), 20–27.

    Google Scholar 

  • Bounds, D. G., Lloyd, P. J., Mathew, B., & Waddell, G. (1988). A multilayer perceptron network for the diagnosis of low back pain. Proceedings of IEEE International Conference on Neural Networks, 2, 481–489.

    Google Scholar 

  • Chen, W., Hasanipanah, M., Rad, H. N., Armaghani, D. J., & Tahir, M. M. (2019). A new design of evolutionary hybrid optimization of SVR model in predicting the blast-induced ground vibration. Engineering with Computers. https://doi.org/10.1007/s00366-019-00895-x.

    Article  Google Scholar 

  • Dreyfus, G. (2005). Neural networks: Methodology and applications. Berlin: Springer.

    Google Scholar 

  • Ghaleini, E. N., Koopialipoor, M., Momenzadeh, M., Sarafraz, M. E., Mohamad, E. T., & Gordan, B. (2018). A combination of artificial bee colony and neural network for approximating the safety factor of retaining walls. Engineering with Computers, 35(2), 647–658.

    Google Scholar 

  • Gordan, B., Koopialipoor, M., Clementking, A., Tootoonchi, H., & Mohamad, E. T. (2018). Estimating and optimizing safety factors of retaining wall through neural network and bee colony techniques. Engineering with Computers. https://doi.org/10.1007/s00366-018-0642-2.

    Article  Google Scholar 

  • Guo, H., Zhou, J., Koopialipoor, M., Armaghani, D. J., & Tahir, M. M. (2019). Deep neural network and whale optimization algorithm to assess flyrock induced by blasting. Engineering with Computers. https://doi.org/10.1007/s00366-019-00816-y.

    Article  Google Scholar 

  • Gupta, R. N. (1980). Surface blasting and its impact on environment. Impact of Mining on Environment (pp. 23–24). New Delhi: Ashish Publishing House.

    Google Scholar 

  • Hallowell, M. R., & Gambatese, J. A. (2010). Qualitative research: Application of the delphi method to CEM research. Journal of Construction Engineering and Management, 136(January), 99–107.

    Google Scholar 

  • Hasanipanah, M., Faradonbeh, R. S., Armaghani, D. J., Amnieh, H. B., & Khandelwal, M. (2017). Development of a precise model for prediction of blast-induced flyrock using regression tree technique. Environmental Earth Sciences, 76(1), 27.

    Google Scholar 

  • Hasanipanah, M., Zhang, W., Armaghani, D. J., & Rad, H. N. (2020). The potential application of a new intelligent based approach in predicting the tensile strength of rock. IEEE Access, 8, 57148–57157.

    Google Scholar 

  • Huang, J., Duan, T., Zhang, Y., Liu, J., Zhang, J., Lei, Y., & Zhang, J. (2020). Predicting the permeability of pervious concrete based on the beetle antennae search algorithm and random forest model. Advances in Civil Engineering. https://doi.org/10.1155/2020/8863181.

    Article  Google Scholar 

  • Karaboga, D. (2005). An idea based on honey bee swarm for numerical optimization. Technical Report TR06. Computer Engineering Department, Engineering Faculty, Erciyes University, Turkey.

  • Kennedy, J., & Eberhart, R. C. (1995). A discrete binary version of the particle swarm algorithm. Systems, Man, and Cybernetics, 1997. In 1997 IEEE International Conference on Computational Cybernetics and Simulation, 5, pp. 4104–4108. IEEE.

  • Khandelwal, M., & Kankar, P. K. (2011). Prediction of blast-induced air overpressure using support vector machine. Arabian Journal of Geosciences, 4(3–4), 427–433.

    Google Scholar 

  • Khandelwal, M., & Monjezi, M. (2013). Prediction of flyrock in open pit blasting operation using machine learning method. International Journal of Mining Science and Technology, 23(3), 313–316.

    Google Scholar 

  • Khandelwal, M., & Singh, T. N. (2006). Prediction of blast induced ground vibrations and frequency in opencast mine: A neural network approach. Journal of Sound and Vibration, 289(4–5), 711–725.

    Google Scholar 

  • Khandelwal, M., & Singh, T. N. (2009). Prediction of blast-induced ground vibration using artificial neural network. International Journal of Rock Mechanics and Mining Sciences, 46(7), 1214–1222.

    Google Scholar 

  • Koopialipoor, M., Armaghani, D. J., Hedayat, A., Marto, A., & Gordan, B. (2018a). Applying various hybrid intelligent systems to evaluate and predict slope stability under static and dynamic conditions. Soft Computing. https://doi.org/10.1007/s00500-018-3253-3.

    Article  Google Scholar 

  • Koopialipoor, M., Fahimifar, A., Ghaleini, E. N., Momenzadeh, M., & Armaghani, D. J. (2019a). Development of a new hybrid ANN for solving a geotechnical problem related to tunnel boring machine performance. Engineering with Computers. https://doi.org/10.1007/s00366-019-00701-8.

    Article  Google Scholar 

  • Koopialipoor, M., Fallah, A., Armaghani, D. J., Azizi, A., & Mohamad, E. T. (2018b). Three hybrid intelligent models in estimating flyrock distance resulting from blasting. Engineering with Computers. https://doi.org/10.1007/s00366-018-0596-4.

    Article  Google Scholar 

  • Koopialipoor, M., Ghaleini, E. N., Tootoonchi, H., Jahed Armaghani, D., Haghighi, M., & Hedayat, A. (2019b). Developing a new intelligent technique to predict overbreak in tunnels using an artificial bee colony-based ANN. Environmental Earth Sciences, 78(5), 165. https://doi.org/10.1007/s12665-019-8163-x.

    Article  Google Scholar 

  • Koopialipoor, M., Jahed Armaghani, D., Haghighi, M., & Ghaleini, E. N. (2019c). A neuro-genetic predictive model to approximate overbreak induced by drilling and blasting operation in tunnels. Bulletin of Engineering Geology and the Environment, 78(2), 981–990.

    Google Scholar 

  • Lee, Y., Oh, S.-H., & Kim, M. W. (1991). The effect of initial weights on premature saturation in back-propagation learning. In Neural Networks, 1991, IJCNN-91-Seattle International Joint Conference On, 1, pp. 765–770. IEEE.

  • Liao, X., Khandelwal, M., Yang, H., Koopialipoor, M., & Murlidhar, B. R. (2019). Effects of a proper feature selection on prediction and optimization of drilling rate using intelligent techniques. Engineering with Computers. https://doi.org/10.1007/s00366-019-00711-6.

    Article  Google Scholar 

  • Liou, S.-W., Wang, C.-M., & Huang, Y.-F. (2009). Integrative discovery of multifaceted sequence patterns by frame-relayed search and hybrid PSO-ANN. Journals of UCS, 15(4), 742–764.

    Google Scholar 

  • Lu, S., Koopialipoor, M., Asteris, P. G., Bahri, M., & Armaghani, D. J. (2020). A novel feature selection approach based on tree models for evaluating the punching shear capacity of steel fiber-reinforced concrete flat slabs. Materials, 13(17), 3902.

    Google Scholar 

  • Lundborg, N., Persson, A., Ladegaard-Pedersen, A., & Holmberg, R. (1975). Keeping the lid on flyrock in open-pit blasting. Engineering and Mining Journal, 176, 95–100.

    Google Scholar 

  • Mahdiyar, A., Jahed Armaghani, D., Koopialipoor, M., Hedayat, A., Abdullah, A., & Yahya, K. (2020). Practical risk assessment of ground vibrations resulting from blasting, using gene expression programming and monte carlo simulation techniques. Applied Sciences, 10(2), 472.

    Google Scholar 

  • Mahdiyar, A., Tabatabaee, S., Abdullah, A., & Marto, A. (2018). Identifying and assessing the critical criteria affecting decision-making for green roof type selection. Sustainable Cities and Society, 39(March), 772–783.

    Google Scholar 

  • Marto, Aminaton, Hajihassani, M., Armaghani, D. J., Tonnizam Mohamad, E., & Makhtar, A. M. (2014a). A novel approach for blast-induced flyrock prediction based on imperialist competitive algorithm and artificial neural network. The Scientific World Journal. https://doi.org/10.1155/2014/643715.

    Article  Google Scholar 

  • Marto, A., Hajihassani, M., Jahed Armaghani, D., Tonnizam Mohamad, E., & Makhtar, A. M. (2014b). A novel approach for blast-induced flyrock prediction based on imperialist competitive algorithm and artificial neural network. Scientific World Journal. https://doi.org/10.1155/2014/643715.

    Article  Google Scholar 

  • Mohamad, E. T., Armaghani, D. J., & Motaghedi, H. (2013). The effect of geological structure and powder factor in flyrock accident, Masai, Johor, Malaysia. Electronic Journal of Geotechnical Engineering, 18, 5561–5572.

    Google Scholar 

  • Mohamad, E. T., Koopialipoor, M., Murlidhar, B. R., Rashiddel, A., Hedayat, A., & Armaghani, D. J. (2019). A new hybrid method for predicting ripping production in different weathering zones through in situ tests. Measurement. https://doi.org/10.1016/j.measurement.2019.07.054.

    Article  Google Scholar 

  • Monjezi, M., & Dehghani, H. (2008). Evaluation of effect of blasting pattern parameters on back break using neural networks. International Journal of Rock Mechanics and Mining Sciences, 45(8), 1446–1453.

    Google Scholar 

  • Monjezi, M., Ghafurikalajahi, M., & Bahrami, A. (2011). Prediction of blast-induced ground vibration using artificial neural networks. Tunnelling and Underground Space Technology, 26(1), 46–50.

    Google Scholar 

  • Murlidhar, B. R., Kumar, D., Armaghani, D. J., Mohamad, E. T., Roy, B., & Pham, B. T. (2020). A novel intelligent ELM-BBO technique for predicting distance of mine blasting-induced flyrock. Natural Resources Research. https://doi.org/10.1007/s11053-020-09676-6.

    Article  Google Scholar 

  • Qi, C. (2020). Big data management in the mining industry. International Journal of Minerals, Metallurgy and Materials, 27(2), 131–139.

    Google Scholar 

  • Rad, H. N., & Jalali, Z. (2019). Modification of rock mass rating system using soft computing techniques. Engineering with Computers, 35(4), 1333–1357.

    Google Scholar 

  • Rad, H. N., Jalali, Z., & Jalalifar, H. (2015). Prediction of rock mass rating system based on continuous functions using Chaos-ANFIS model. International Journal of Rock Mechanics and Mining Sciences, 73, 1–9.

    Google Scholar 

  • Raina, A. K., Murthy, V., & Soni, A. K. (2014). Flyrock in bench blasting: A comprehensive review. Bulletin of Engineering Geology and the Environment, 73(4), 1199–1209.

    Google Scholar 

  • Rezaei, M., Monjezi, M., & Varjani, A. (2011). Development of a fuzzy model to predict flyrock in surface mining. Safety Science, 49(2), 298–305.

    Google Scholar 

  • Shi, X., Jian, Z., Wu, B., Huang, D., & Wei, W. E. I. (2012). Support vector machines approach to mean particle size of rock fragmentation due to bench blasting prediction. Transactions of Nonferrous Metals Society of China, 22(2), 432–441.

    Google Scholar 

  • Simpson, P. K. (1990). Artificial neural systems: Foundations paradigms applications and implementations. Elmsford, NY: Pergamon Press.

    Google Scholar 

  • Sun, L., Koopialipoor, M., Armaghani, D. J., Tarinejad, R., & Tahir, M. M. (2019). Applying a meta-heuristic algorithm to predict and optimize compressive strength of concrete samples. Engineering with Computers. https://doi.org/10.1007/s00366-019-00875-1.

    Article  Google Scholar 

  • Tang, D., Gordan, B., Koopialipoor, M., Armaghani, D. J., Tarinejad, R., Thai Pham, B., et al. (2020). Seepage analysis in short embankments using developing a metaheuristic method based on governing equations. Applied Sciences, 10(5), 1761.

    Google Scholar 

  • Ulusay, R., & Hudson, J. A. (n.d.). ISRM (2007) The complete ISRM suggested methods for rock characterization, testing and monitoring: 1974–2006. Commission on Testing Methods. International Society of Rock Mechanics. Compilation Arranged by the ISRM Turkish National Group, Ankara, Turkey, 628

  • Yang, X.-S. (2009). Firefly algorithms for multimodal optimization. In International Symposium on Stochastic Algorithms, pp. 169–178. Springer.

  • Yang, X.-S. (2010). Firefly algorithm, stochastic test functions and design optimisation. International Journal of Bio-Inspired Computation, 2(2), 78–84.

    Google Scholar 

  • Yang, H., Koopialipoor, M., Armaghani, D. J., Gordan, B., Khorami, M., & Tahir, M. M. (2019). Intelligent design of retaining wall structures under dynamic conditions. Steel and Composite Structures, 31(6), 629–640.

    Google Scholar 

  • Yang, H. Q., Li, Z., Jie, T. Q., & Zhang, Z. Q. (2018a). Effects of joints on the cutting behavior of disc cutter running on the jointed rock mass. Tunnelling and Underground Space Technology, 81, 112–120.

    Google Scholar 

  • Yang, H. Q., Xing, S. G., Wang, Q., & Li, Z. (2018b). Model test on the entrainment phenomenon and energy conversion mechanism of flow-like landslides. Engineering Geology, 239, 119–125.

    Google Scholar 

  • Ye, J., Koopialipoor, M., Zhou, J., Armaghani, D. J., & He, X. (2020). A novel combination of tree-based modeling and Monte Carlo simulation for assessing risk levels of flyrock induced by mine blasting. Natural Resources Research. https://doi.org/10.1007/s11053-020-09730-3.

    Article  Google Scholar 

  • Zhao, X., Fourie, A., & Qi, C. (2019). An analytical solution for evaluating the safety of an exposed face in a paste backfill stope incorporating the arching phenomenon. International Journal of Minerals, Metallurgy, and Materials, 26(10), 1206–1216.

    Google Scholar 

  • Zhao, X., Fourie, A., & Qi, C. (2020a). Mechanics and safety issues in tailing-based backfill: A review. International Journal of Minerals, Metallurgy and Materials, 27(9), 1165–1178.

    Google Scholar 

  • Zhao, X., Fourie, A., Veenstra, R., & Qi, C. (2020b). Safety of barricades in cemented paste-backfilled stopes. International Journal of Minerals, Metallurgy and Materials, 27(8), 1054–1064.

    Google Scholar 

  • Zhou, J., Aghili, N., Ghaleini, E. N., Bui, D. T., Tahir, M. M., & Koopialipoor, M. (2019a). A Monte Carlo simulation approach for effective assessment of flyrock based on intelligent system of neural network. Engineering with Computers. https://doi.org/10.1007/s00366-019-00726-z.

    Article  Google Scholar 

  • Zhou, J., Koopialipoor, M., Li, E., & Armaghani, D. J. (2020). Prediction of rockburst risk in underground projects developing a neuro-bee intelligent system. Bulleting of Engineering Geology and the Environment, 79, 4265–4279.

    Google Scholar 

  • Zhou, J., Li, X., & Mitri, H. S. (2018). Evaluation method of rockburst: State-of-the-art literature review. Tunnelling and Underground Space Technology, 81, 632–659.

    Google Scholar 

  • Zhou, J., Li, E., Yang, S., Wang, M., Shi, X., Yao, S., et al. (2019b). Slope stability prediction for circular mode failure using gradient boosting machine approach based on an updated database of case histories. Safety Science, 118, 505–518.

    Google Scholar 

  • Zhou, J., Shi, X., & Li, X. (2016). Utilizing gradient boosted machine for the prediction of damage to residential structures owing to blasting vibrations of open pit mining. Journal of Vibration and Control, 22(19), 3986–3997.

    Google Scholar 

  • Zorlu, K., Gokceoglu, C., Ocakoglu, F., Nefeslioglu, H. A., & Acikalin, S. (2008). Prediction of uniaxial compressive strength of sandstones using petrography-based models. Engineering Geology, 96(3), 141–158.

    Google Scholar 

Download references

Acknowledgments

The first author would like to acknowledge the financial support from the National Natural Science Foundation of China (No. 52074349) and the Distinguished Youth Science Foundation of Hunan Province of China (No. 2019JJ20028).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Danial Jahed Armaghani.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Li, D., Koopialipoor, M. & Armaghani, D.J. A Combination of Fuzzy Delphi Method and ANN-based Models to Investigate Factors of Flyrock Induced by Mine Blasting. Nat Resour Res 30, 1905–1924 (2021). https://doi.org/10.1007/s11053-020-09794-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11053-020-09794-1

Keywords

Navigation