Skip to main content
Log in

Influence of Joint Conditions and Blast Design on Pre-split Blasting Using Response Surface Analysis

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

Abstract

Blasting is a major method of excavation in mining, civil construction and infrastructure projects. The integrity of the rockmass of the final wall after excavation is important for the stability and economics of the operation. Perimeter blasting achieves a planned surface of the rockmass. The pre-split is one such technique, deployed when there is no free face and, thus, involving several interactions of rockmass properties, including strength, joint spacing and joint orientation, with respect to blastholes, blast design, explosive configuration, blasthole deviations and other variables. The mechanism and models of the pre-split are perfunctory, particularly in defining interactions of pre-splitting variables. The basis of pre-splitting vis-à-vis dominant variables affecting performance is, accordingly, discussed here. Since the half cast factor, generally used for damage assessment, has its limitations, the index of blast damage has been compared while modelling performance. Models using response surface analysis for pre-splitting, for both blast damage index and half cast factor, were developed using historical data. The angle of the blasthole with respect to the major joint orientation, spacing of the joints, blasthole spacing, drill deviation, linear charge concentration and compressive strength has been used to compare the above-mentioned damage criteria. Blast damage index has been found to be a better predictor for determining rockmass damage due to blasting. The desirability of the variables deployed has been determined using optimization procedures. A fresh impetus to pre-split studies is expected to provide a ground for future research, particularly studies using advanced computational and numerical algorithms.

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
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22

Similar content being viewed by others

Abbreviations

S j/S b :

Ratio of joint spacing to pre-split hole spacing

f(S j/S b):

Resolved values of Sj/Sb

q lc :

Linear charge concentration (kg/m)

θ :

Angle of inclination of blasthole between blasthole and major joint orientation in radians

δ dd :

Drill deviation

σ c :

Unconfined uniaxial compressive strength (weighted average) also referred to as UCS or uniaxial compressive strength of the rock

σ t :

Tensile strength of intact rock

σ td :

Dynamic tensile strength estimated from compressive strength

d h :

Blasthole diameter

p b :

Estimated blasthole pressure

p n :

Normal component of blasthole pressure

p t :

Tangential component of blasthole pressure

v max :

Peak particle velocity

ρ r :

Density of rock

v p :

p-Wave velocity of rock

k :

Rock constant

I BD @1m:

Blast damage index calculated at 1 m from blasthole and HCF% is half cast factor percentage

References

  • Anderson TL (1995) Fracture mechanics, fundamentals and applications, 2nd edn. CRC Press, Boca Raton

    Google Scholar 

  • Blair DP (2003) A fast and efficient solution for wave radiation from a pressurized blasthole. Int J Blast Fragment 7:205–230

    Google Scholar 

  • Blair DP (2010) Seismic radiation from an explosive column. Geophysics 75(1):E55–E65

    Article  Google Scholar 

  • Blair DP (2015) Wall control blasting. In: Eleventh Int Symp Rock Fragmentation by Blasting, 24–26 Aug., Sydney, pp 13–26

  • Box GEP, Wilson KB (1951) On the experimental attainment of optimum conditions (with discussion). J Roy Stat Soc B 13(1):1–45

    Google Scholar 

  • Calder P (1977) Pit slope manual, Chapter 7, Perimeter blasting. CANMET, Energy, Mines and Resources Canada, Report 77–14, p 82

  • Chiappetta RF (1991) Pre-splitting and controlled blasting techniques including air decks and dimension stone criteria. In: Chiappetta RF (ed) Proc blast technology instrumentation and explosives applications seminar, San Diego

  • Dyskin AV, Galybin AN (2000) Crack interaction mechanism of pre-split rock blasting. In ECF13, San Sebastian 2000. http://www.gruppofrattura.it/ocs/index.php/esis/ECF13/paper/download/8426/4874. Accessed 17 Nov 2018

  • Hustrulid W (1999) Blasting principles for open pit mining. Vol. 1 general design concepts. AA Balkema, Rotterdam, pp 293–312

    Google Scholar 

  • Jimeno CL, Jimeno EL et al (1995) Drilling and blasting of rocks. AA Balkema, Rotterdam, pp 252–270

    Google Scholar 

  • Konya CJ (1980) Pre-split blasting, theory and practice. In: AIME Annual Meeting Las Vegas, Nevada, Feb 24–28, pp 80–97

  • Kutter HK, Fairhurst C (1971) On the fracture process in blasting. Int J Rock Mech Mining Sci Geomech Abst 8(3):181–202

    Article  Google Scholar 

  • Lewandowski T, Luan Mai VK, Danell RE (1996) Influence of discontinuities on presplitting effectiveness. In: Proceedings of the Fifth International Symposium on Rock Fragmentation by Blasting, 25–29 August, Montreal, pp 217–225

  • Minchinton A (2011) The importance of understanding detonics and rock response under explosive loading. In: First Int Blasting Geology Workshop, Melbourne, Australia

  • Minchinton A, Lynch P (1996) Fragmentation and heave modelling using a coupled discrete element gas flow code. In: Proceedings of the Fifth International Symposium on Rock Fragmentation by Blasting, 25–29 August, Montreal, pp 71–80

  • Mohanty B (1987) Strength of rock under high strain rate loading conditions applicable to blasting. In: Proceedings of the 2nd International Symposium on Rock Fragmentation by Blasting, FRAGBLAST-2, Keystone, Colorado, August 23–26, pp 72–79

  • Raina AK, Chakraborty AK et al (2000) Rock mass damage from underground blasting, a literature review, and lab-and full-scale tests to estimate crack depth by ultrasonic method. Fragblast 4(2):103–125

    Article  Google Scholar 

  • Sanden BH (1974) Pre-split blasting. M.Sc. Dissertation. Queen’s University

  • Singh SP (2001) The influence of geology on blast damage. CIM Bull 94(1048):121–127

    Google Scholar 

  • Sun C (2013) Damage zone prediction for rock blasting. Ph.D. Thesis University of Utah

  • Szuladzinski G, Saleh A (1996) Mechanism of smooth blasting and its modelling. In: Proceedings of the Fifth International Symposium on Rock Fragmentation by Blasting, 25-29 August, Montreal, pp 195–200  

  • Tariq SM, Worsey PN (1995) An investigation into the effect of varying joint aperture and nature of surface on pre-splitting. In: 22nd Ann Conf on Expl and Blasting Tech, Feb. 4–8, Orlando, pp 186–193

  • Verma HK, Samadhiya NK, Singh M et al (2018) Blast induced rockmass damage around tunnels. Tunn Undergr Space Technol 71:149–158

    Article  Google Scholar 

  • Worsey PN (1984) The effect of discontinuity orientation on the success of pre-split blasting. In: Proc 10th Ann Conf on Expl and Blasting Tech, Jan 29–Feb 2, Lake Buena, Vista, pp 197–213

  • Xiao XH, Xiao PW et al (2018) Large deformation characteristics and reinforcement measures for a rock pillar in the Houziyan underground powerhouse. Rock Mech Rock Eng 51(2):561–578

    Article  Google Scholar 

  • Yu TR, Vongpaisal S (1996) New blast damage criteria for underground blasting. CIM Bull 89(998):139–145

    Google Scholar 

Download references

Acknowledgements

The author is thankful to the Director CSIR-Central Institute of Mining and Fuel Research, India, for his permission to publish the paper. The sponsorship of APGENCO is gratefully acknowledged. Thanks to all my colleagues for their help and cooperation during data generation. My profound thanks to Sri Ramesh for his critical views all along the study. Thanks to Suraj for help with references and Geeta and KP Madhu for critically examining the text for errors. Thanks to anonymous reviewers whose initial criticism has helped in improving the paper significantly.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. K. Raina.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Raina, A.K. Influence of Joint Conditions and Blast Design on Pre-split Blasting Using Response Surface Analysis. Rock Mech Rock Eng 52, 4057–4070 (2019). https://doi.org/10.1007/s00603-019-01822-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00603-019-01822-8

Keywords

Navigation