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Initiation Mechanism of Extension Strain of Rock Mine Slopes

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Latest Advancements in Underground Structures and Geological Engineering (GeoMEast 2019)

Abstract

Slopes in open pits exhibit fracturing around excavations, often initiated by extension strain which results from a combination of principal stresses adjacent to the slope boundaries. This extension strain is commonly described using minimum principal strain or minimum principal stress equations. These equations show that the extension strain can expand and fracturing occurs if the extension strain exceeds a critical value. Anisotropic rock masses with multiple and complex structures increase the potential of the development and coalesce of cracks with pre-existing discontinuities for further potential failure.

This paper presents finite element analysis to model the extensions strain implementing the criterion of Stacey (1981). The distributions of extension strain are predicted around slope of Handlebar Hill open pit mine at Mt Isa, Queensland, Australia. Around the pit wall, fracturing near the excavation boundary is often the result of extension strain of the rock. Through the mining activities, fractures in the slope face can manifest into slabbing and spalling. Extension strain may develop circumferential fractures close to the slope surface, the closer to the excavation perimeter, the more open the cracks. The result of the extension strain distribution simulated in this paper is in accord with failure events observed on site. The numerical modelling and the discussion of this study focused on the prediction of potential fracturing zones within the critical values of the extension strain around the slope.

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References

  • Brady, B.H.G., Brown, E.T.: Rock mechanics for Underground Mining, 3rd edn. Springer, Netherlands (2006)

    Google Scholar 

  • Brown, S.R., Scholz, C.H.: Closure of random elastic surfaces in contact. J. Geophys. Res. 90, 5531–5545 (1986)

    Article  Google Scholar 

  • Coulomb, C.A.: Essai sur une application des règles de maximis et minimis a quelques problemes de statique. relatifs al architecture, Memoires de mathematique et de physique, presentes al Academie Royale des Sciences par divers savans, vol. 7, pp. 343–382 (1779)

    Google Scholar 

  • Eberhardt, E., Stead, D., Coggan, J.: Numerical analysis of initiation and progressive failure in natural rock slopes – the 1991 Randa rockslide. Int. J. Rock Mech. Min. Sci. 41(1), 69–87 (2004)

    Article  Google Scholar 

  • England, W.A., MacKenzie, A.S., Mann, D.M., Quigley, T.M.: The movement and entrapment of petroleum fluids in the subsurface. J. Geol. Soc. Lond. 144, 327–347 (1987)

    Article  Google Scholar 

  • Hammah, R.E., Curran, J.H., Yacoub, T.E., Corkum, B.: Stability analysis of rock slopes using the finite element method. In: Proceedings of the ISRM Regional Symposium EUROCK 2004 and the 53rd Geomechanics Colloquy, Salzburg, Austria (2004)

    Google Scholar 

  • Hoek, E.: Brittle failure of rock-in rock mechanics in engineering practice. In: Stagg, K.G., Zienkiewicz, O.C. (eds.), pp. 99–124. Wiley, London (1968)

    Google Scholar 

  • Hoek, E., Carranza-Torres, C., Corkum, B.: Hoek-Brown failure criterion. Edition. In: Proceedings 5th North American Rock Mechanics Symposium, pp. 267–273. University of Toronto Press, Toronto (2002)

    Google Scholar 

  • KwaĹ›niewski, M., Takahashi, M.: Strain-based failure criteria for rocks: state of the art and recent advances. In: Zhao, J. et al. (ed.) Rock Mechanics in Civil and Environmental Engineering, pp. 45–56. CRC Press/Balkema, Leiden, Netherlands (2010)

    Google Scholar 

  • Liang, Z.Z.: Three-dimensional Numerical Modelling of Rock Failure Process, Doctoral Thesis, Dalian University of Technology (2003)

    Google Scholar 

  • Louchnikov, V.: Simple calibration of the extension strain criterion for its use in numerical modelling. In: Potvin, Y. (ed.) Strategic versus Tactical Approaches in Mining 2011. Australian Centre for Geomechanics, Perth, Australia (2011)

    Google Scholar 

  • Mahtab, M.A., Goodman, R.E.: Three-dimensional finite element analysis of jointed rock slopes. In: Proceedings of the Second Congress of the International Society of Rock Mechanics, Belgrade, vol. 3, pp. 353–360 (1970)

    Google Scholar 

  • Martin, C.D., Kaiser, P.K., McCreath, D.R.: Hoek–Brown parameters for predicting the depth of brittle failure around tunnels, Application of the in plane minimum principal strain criterion. Geotech. 36, 136–151 (1999). Canada

    Google Scholar 

  • Ndlovu, X., Stacey, T.R.: Observations of roof guttering in a coal mine. In: Proceedings of the 3rd Southern African Rock Engineering Symposium, Best Practices in Rock Engineering, Randburg, S. Afr. Inst. Min. Metall., Symposium Series S41, 2005. pp. 285–300 (2007)

    Google Scholar 

  • Nelson, A.S.: Deformation of Rock, Lecturer in Physical Geology EENS 111, Tulane University, Louisiana, U.S.A (2003)

    Google Scholar 

  • Pariseau, G.W., Purib, S., Schmelterc, C.S.: A new model for effects of impersistent joint sets on rock slope stability. Int. J. Rock Mech. Min. Sci. 45(2), 122–131 (2008)

    Article  Google Scholar 

  • Ramsey, M.J., Chester, M.F.: Hybrid fracture and the transition from extension fracture to shear fracture, Center for Tectonophysics, department of Geology and Geophysics, Texas A & M, University, College Station, Texas, USA (2004)

    Google Scholar 

  • Sakurai, S.: Direct strain evaluation technique in construction of underground opening. In: Preceding of the 22nd U.S. Symposium on Rock Mechanics, 29 June–2 July, Cambridge, MA, pp. 278–282 (1981)

    Google Scholar 

  • Sartori, M., Baillifard, F., Jaboyedoff, M., Rouiller, J.D.: Kinematics of the 1991 Randa rockslides. Nat. Hazards Earth Syst. Sci. V 3(5), 423–433 (2003)

    Article  Google Scholar 

  • Stacey, T.R.: A simple extension strain criterion for fracture of brittle rock. Int. J. Rock Mech. Min. Sci. 18, 469–474 (1981)

    Article  Google Scholar 

  • Stacey, T.R., De Jongh, C.L.: Stress fracturing around a deep level bored tunnel. J. S. Afr. Inst. Min. Metall. 78, 124–133 (1977)

    Google Scholar 

  • Stacey, T.R.: Personal communication (2014–2015)

    Google Scholar 

  • Stacey, T.R., Terbrugge, P.J., Keyter, G.J., Xianbin, Y.: A new concept in open pit slope stability and its use in the explanation of two slope failure. In: Fifth Larger Open Pit Mining Conference, 3–5 November, Kalgoorlie, WA, pp. 259–266 (2003)

    Google Scholar 

  • Stead, D., Coggan, J., Elmo, D., Van, M.: Modelling brittle fracture in rock slopes: experience gained and lessons learned. In: Australian Centre for Geomechanics’ International Symposium on Rock Slope Stability in Open Pit and Civil Engineering, Perth, Australia, pp. 239–252 (2007)

    Google Scholar 

  • Valenta, K.R.: Deformation, fluid flow and mineralization in the Hilton area, Mt. Isa, Australia, Doctoral Thesis of Philosophy in the department of earth science, Monash University, Victoria, Australia (1988)

    Google Scholar 

  • Wesseloo, J.: Predicting the extent of fracturing around underground excavations in brittle rock, Technical report, SRK Consulting, Johannesburg, South Africa (2000)

    Google Scholar 

  • Yanga, Q.S., Jianga, Z.Y., Xu, W.Y., Chen, X.Q.: Experimental investigation on strength and failure behavior of pre-cracked marble under conventional triaxial compression. Int. J. Solids Struct. 45(17), 4796–4819 (2008)

    Article  Google Scholar 

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Acknowledgements

Authors wish to thank Prof. T. Stacey for kindly providing his hypothetical observations on the rock failure mechanisms occurring at the pit slopes, and being available for helpful comments.

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Correspondence to Maged Al Mandalawi .

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Al Mandalawi, M., Sabry, M., Sabry, M. (2020). Initiation Mechanism of Extension Strain of Rock Mine Slopes. In: Bezvijen, A., Wittke, W., Poulos, H., Shehata, H. (eds) Latest Advancements in Underground Structures and Geological Engineering. GeoMEast 2019. Sustainable Civil Infrastructures. Springer, Cham. https://doi.org/10.1007/978-3-030-34178-7_5

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