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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Brady, B.H.G., Brown, E.T.: Rock mechanics for Underground Mining, 3rd edn. Springer, Netherlands (2006)
Brown, S.R., Scholz, C.H.: Closure of random elastic surfaces in contact. J. Geophys. Res. 90, 5531–5545 (1986)
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)
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)
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)
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)
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)
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)
Kwaśniewski, 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)
Liang, Z.Z.: Three-dimensional Numerical Modelling of Rock Failure Process, Doctoral Thesis, Dalian University of Technology (2003)
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)
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)
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
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)
Nelson, A.S.: Deformation of Rock, Lecturer in Physical Geology EENS 111, Tulane University, Louisiana, U.S.A (2003)
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)
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)
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)
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)
Stacey, T.R.: A simple extension strain criterion for fracture of brittle rock. Int. J. Rock Mech. Min. Sci. 18, 469–474 (1981)
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)
Stacey, T.R.: Personal communication (2014–2015)
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)
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)
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)
Wesseloo, J.: Predicting the extent of fracturing around underground excavations in brittle rock, Technical report, SRK Consulting, Johannesburg, South Africa (2000)
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)
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.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/978-3-030-34178-7_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-34177-0
Online ISBN: 978-3-030-34178-7
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)