Skip to main content
Log in

Stochastic Modeling Approach for the Evaluation of Backbreak due to Blasting Operations in Open Pit Mines

  • Original Paper
  • Published:
Rock Mechanics and Rock Engineering Aims and scope Submit manuscript

Abstract

Backbreak is an undesirable side effect of bench blasting operations in open pit mines. A large number of parameters affect backbreak, including controllable parameters (such as blast design parameters and explosive characteristics) and uncontrollable parameters (such as rock and discontinuities properties). The complexity of the backbreak phenomenon and the uncertainty in terms of the impact of various parameters makes its prediction very difficult. The aim of this paper is to determine the suitability of the stochastic modeling approach for the prediction of backbreak and to assess the influence of controllable parameters on the phenomenon. To achieve this, a database containing actual measured backbreak occurrences and the major effective controllable parameters on backbreak (i.e., burden, spacing, stemming length, powder factor, and geometric stiffness ratio) was created from 175 blasting events in the Sungun copper mine, Iran. From this database, first, a new site-specific empirical equation for predicting backbreak was developed using multiple regression analysis. Then, the backbreak phenomenon was simulated by the Monte Carlo (MC) method. The results reveal that stochastic modeling is a good means of modeling and evaluating the effects of the variability of blasting parameters on backbreak. Thus, the developed model is suitable for practical use in the Sungun copper mine. Finally, a sensitivity analysis showed that stemming length is the most important parameter in controlling backbreak.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Aghajani Bazzazi A, Mansouri H, Ebrahimi Farsangi MA, Atashpanjeh A (2006) Application of controlled blasting (pre-splitting) using large diameter holes in Sarcheshmeh copper mine. In: Proceedings of the 8th International Symposium on Rock Fragmentation by Blasting, Santiago, Chile, May 2006, pp 388–392

  • Alejano LR, Pons B, Bastante FG, Alonso E, Stockhausen HW (2007) Slope geometry design as a means for controlling rockfalls in quarries. Int J Rock Mech Min Sci 44:903–921

    Article  Google Scholar 

  • Alvarez Grima M, Babuška R (1999) Fuzzy model for the prediction of unconfined compressive strength of rock samples. Int J Rock Mech Min Sci 36:339–349

    Article  Google Scholar 

  • Badal R (1994) Controlled blasting in jointed rocks. Int J Rock Mech Min Sci Geomech Abstr 31:79–84

    Article  Google Scholar 

  • Bauer A (1982) Wall control blasting in open pits. In: Proceedings of the 14th Canadian Rock Mechanics Symposium, Vancouver, British Columbia, Canada, May 1982. Canadian Institute of Mining and Metallurgy, CIM Special, vol 30, pp 3–10

  • Bhandari S (1997) Engineering rock blasting operations. Balkema, Rotterdam

    Google Scholar 

  • Bhandari S, Badal R (1990) Relationship of joint orientation with hole spacing parameter in multihole blasting. In: Proceedings of the 3rd International Symposium on Rock Fragmentation by Blasting, Brisbane, Australia, August 1990, pp 225–231

  • Blair DP (2011) A probabilistic analysis of vibration based on measured data and charge weight scaling. In: Proceedings of the Sixth EFEE World Conference on Explosives and Blasting Techniques, Lisbon, Portugal, September 2011, pp 319–337

  • Blair DP, Armstrong LW (2001) The influence of burden on blast vibration. Fragblast 5:108–129

    Article  Google Scholar 

  • Cai M (2011) Rock mass characterization and rock property variability considerations for tunnel and cavern design. Rock Mech Rock Eng 44:379–399

    Article  Google Scholar 

  • Draper NR, Smith H (1981) Applied regression analysis. Wiley, New York

    Google Scholar 

  • Enayatollahi I, Aghajani-Bazzazi A (2010) Evaluation of salt-ANFO mixture in back break reduction by data envelopment analysis. In: Proceedings of the 9th International Symposium on Rock Fragmentation by Blasting, Granada, Spain, September 2009, pp 127–133

  • Esmaeili M, Osanloo M, Rashidinejad F, Aghajani Bazzazi A, Taji M (2012) Multiple regression, ANN and ANFIS models for prediction of backbreak in the open pit blasting. Eng Comput. doi:10.1007/s00366-012-0298-2

    Google Scholar 

  • Faramarzi F, Ebrahimi Farsangi MA, Mansouri H (2012) An RES-based model for risk assessment and prediction of backbreak in bench blasting. Rock Mech Rock Eng. doi:10.1007/s00603-012-0298-y

    Google Scholar 

  • Firouzadj A, Ebrahimi Farsangi MA, Mansouri H, Esfahani SK (2006) Application of controlled blasting (pre-splitting) in Sarcheshmeh copper mine. In: Proceedings of the 8th International Symposium on Rock Fragmentation by Blasting, Santiago, Chile, May 2006, pp 383–387

  • Gate WC, Ortiz BLT, Florez RM (2005) Analysis of rockfall and blasting backbreak problems. In: Proceedings of the 40th U.S. Symposium on Rock Mechanics (USRMS), Anchorage, Alaska, June 2005, vol 5, pp 671–680

  • Ghasemi E, Shahriar K, Sharifzadeh M, Hashemolhosseini H (2010) Quantifying the uncertainty of pillar safety factor by Monte Carlo simulation—a case study. Arch Min Sci 55(3):623–635

    Google Scholar 

  • Ghasemi E, Sari M, Ataei M (2012) Development of an empirical model for predicting the effects of controllable blasting parameters on flyrock distance in surface mines. Int J Rock Mech Min Sci 52:163–170

    Article  Google Scholar 

  • Gokceoglu C (2002) A fuzzy triangular chart to predict the uniaxial compressive strength of the Ankara agglomerates from their petrographic composition. Eng Geol 66:39–51

    Article  Google Scholar 

  • Griffiths DV, Fenton GA (2007) Probabilistic methods in geotechnical engineering. Springer Wien, New York

    Book  Google Scholar 

  • Gustafsson R (1973) Swedish blasting technique. Swedish Petroleum Institute (SPI), Gothenburg

    Google Scholar 

  • Hagan TN, Bulow B (2000) Blast designs to protect pit walls. In: Hustrulid WA, McCarter MK, Van Zyl DJA (eds.) Slope stability in surface mining. Society of Mining, Metallurgy and Exploration, Denver, pp 125–130

    Google Scholar 

  • Husein Malkawi AI, Hassan WF, Abdulla FA (2000) Uncertainty and reliability analysis applied to slope stability. Struct Saf 22:161–187

    Article  Google Scholar 

  • Hustrulid WA (1999) Blasting principles for open pit mining: vol 1, general design concepts. Balkema, Rotterdam

    Google Scholar 

  • Hustrulid WA, Lu WB (2002) Some general design concepts regarding the control of blast-induced damage during rock slope excavation. In: Proceedings of the 7th International Symposium on Rock Fragmentation by Blasting, Beijing, China, August 2002, pp 595–604

  • Iverson SR, Hustrulid WA, Johnson JC, Tesarik D, Akbarzadeh Y (2010) The extent of blast damage from a fully coupled explosive charge. In: Proceedings of the 9th International Symposium on Rock Fragmentation by Blasting, Granada, Spain, September 2009, pp 459–468

  • Jhanwar JC, Jethwa JL (2000) The use of air decks in production blasting in an open pit coal mine. Geotech Geol Eng 18:269–287

    Article  Google Scholar 

  • Jia Z, Chen G, Huang S (1998) Computer simulation of open pit bench blasting in jointed rock mass. Int J Rock Mech Min Sci 35:476–486

    Article  Google Scholar 

  • Jimenez-Rodriguez R, Sitar N (2008) Influence of stochastic discontinuity network parameters on the formation of removable blocks in rock slopes. Rock Mech Rock Eng 41:563–585

    Article  Google Scholar 

  • Jimeno CL, Jimeno EL, Carcedo FJA (1995) Drilling and blasting of rocks. Balkema, Rotterdam

    Google Scholar 

  • Karacan CO, Luxbacher K (2010) Stochastic modeling of gob gas venthole production performances in active and completed longwall panels of coal mines. Int J Coal Geol 84:125–140

    Article  Google Scholar 

  • Karami AR, Mansouri H, Ebrahimi Farsangi MA, Nezamabadi H (2006) Backbreak prediction due to bench blasting: an artificial neural network approach. J Mine Met Fuel 54(12):418–420

    Google Scholar 

  • 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. doi:10.1007/s00603-012-0269-3

    Article  Google Scholar 

  • Konya CJ, Walter EJ (1991) Rock blasting and overbreak control. United States Department of Transportation, McLean

    Google Scholar 

  • Konya CJ, Walter EJ (2003) Rock blasting and overbreak control. National Highway Institute, Arlington

    Google Scholar 

  • Langefors U, Kihlstrom B (1978) The modern technique of rock blasting. Wiley, New York

    Google Scholar 

  • Maier HR, Dandy GC (2000) Neural networks for the prediction and forecasting of water resources variables: a review of modelling issues and applications. Environ Model Softw 15:101–124

    Article  Google Scholar 

  • Mohanty BB, Chung SH (1986) Production blasts in open pit mines and their effect on slope stability. In: Proceedings of the International Symposium on Geotechnical Stability in Surface Mining, Calgary, Alberta, Canada, November 1986. CANMET, pp 133–140

  • Monjezi M, Dehghani H (2008) Evaluation of effect of blasting pattern parameters on back break using neural networks. Int J Rock Mech Min Sci 45:1446–1453

    Article  Google Scholar 

  • Monjezi M, Rezaei M, Yazdian A (2010a) Prediction of backbreak in open-pit blasting using fuzzy set theory. Expert Syst Appl 37:2637–2643

    Article  Google Scholar 

  • Monjezi M, Sayadi A, Talebi N (2010b) Prediction of backbreak using blasting parameters. J Mine Met Fuel 58(8):223–226

    Google Scholar 

  • Monjezi M, Amini Khoshalan H, Yazdian Varjani A (2011) Optimization of open pit blast parameters using genetic algorithm. Int J Rock Mech Min Sci 48:864–869

    Article  Google Scholar 

  • Monjezi M, Ahmadi Z, Yazdian Varjani A, Khandelwal M (2012a) Backbreak prediction in the Chadormalu iron mine using artificial neural network. Neural Comput Appl. doi:10.1007/s00521-012-1038-7

    Google Scholar 

  • Monjezi M, Amini Khoshalan H, Yazdian Varjani A (2012b) Prediction of flyrock and backbreak in open pit blasting operation: a neuro-genetic approach. Arab J Geosci 5:441–448. doi:10.1007/s12517-010-0185-3

    Article  Google Scholar 

  • 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

    Article  Google Scholar 

  • Oracle (2007) Crystal Ball 7.3 User Manual. Oracle Inc., Oracle Parkway, Redwood City, CA, USA

  • Palei SK, Das SK (2008) Sensitivity analysis of support safety factor for predicting the effects of contributing parameters on roof falls in underground coal mines. Int J Coal Geol 75:241–247

    Article  Google Scholar 

  • Park HJ, West TR, Woo I (2005) Probabilistic analysis of rock slope stability and random properties of discontinuity parameters, Interstate Highway 40, Western North Carolina, USA. Eng Geol 79:230–250

    Article  Google Scholar 

  • Sari M (2009) The stochastic assessment of strength and deformability characteristics for a pyroclastic rock mass. Int J Rock Mech Min Sci 46:613–626

    Article  Google Scholar 

  • Sari M, Selcuk AS, Karpuz C, Duzgun HSB (2009) Stochastic modeling of accident risks associated with an underground coal mine in Turkey. Saf Sci 47:78–87

    Article  Google Scholar 

  • Sari M, Karpuz C, Ayday C (2010) Estimating rock mass properties using Monte Carlo simulation: Ankara andesites. Comput Geosci 36:959–969

    Article  Google Scholar 

  • Scoble MJ, Lizotte YC, Paventi M, Mohanty BB (1997) Measurement of blast damage. Min Eng 49:103–108

    Google Scholar 

  • Singh TN, Singh V (2005) An intelligent approach to prediction and control ground vibration in mines. Geotech Geol Eng 23:249–262

    Article  Google Scholar 

  • Singh PK, Roy MP, Joshi A, Joshi VP (2010) Controlled blasting (pre-splitting) at an open-pit mine in India. In: Proceedings of the 9th International Symposium on Rock Fragmentation by Blasting, Granada, Spain, September 2009, pp 481–489

  • SPSS (2007) Statistical Package for the Social Sciences 16.0 statistical analysis software (Standard Version). SPSS Inc., Chicago, Illinois, USA

  • SRK Consulting Engineers and Scientists (2008) Sungun copper project, mining geotechnics and slope design studies. Final report. Sungun Copper Company

  • Wilson JM, Moxon NT (1988) The development of low energy ammonium nitrate based explosives. In: Proceedings of the Australasian Institute of Mining and Metallurgy, Melbourne, Australia, pp 27–32

  • Wyllie DC, Mah CW (2004) Rock slope engineering: civil and mining, 4th edn. Spoon Press, New York

    Google Scholar 

  • Yilmaz I, Yuksek G (2009) Prediction of the strength and elasticity modulus of gypsum using multiple regression, ANN, and ANFIS models. Int J Rock Mech Min Sci 46:803–810

    Article  Google Scholar 

  • You K, Park Y, Lee JS (2005) Risk analysis for determination of a tunnel support pattern. Tunn Undergr Space Technol 20:479–486

    Article  Google Scholar 

Download references

Acknowledgments

The authors are grateful to Mrs. I. Mahboobi for her kind help during the preparation of the manuscript and the anonymous reviewers for their useful comments and constructive suggestions.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ebrahim Ghasemi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sari, M., Ghasemi, E. & Ataei, M. Stochastic Modeling Approach for the Evaluation of Backbreak due to Blasting Operations in Open Pit Mines. Rock Mech Rock Eng 47, 771–783 (2014). https://doi.org/10.1007/s00603-013-0438-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00603-013-0438-z

Keywords

Navigation