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An Integrated Numerical Modelling–Discrete Fracture Network Approach Applied to the Characterisation of Rock Mass Strength of Naturally Fractured Pillars

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Abstract

Naturally fractured mine pillars provide an excellent example of the importance of accurately determining rock mass strength. Failure in slender pillars is predominantly controlled by naturally occurring discontinuities, their influence diminishing with increasing pillar width, with wider pillars failing through a combination of brittle and shearing processes. To accurately simulate this behaviour by numerical modelling, the current analysis incorporates a more realistic representation of the mechanical behaviour of discrete fracture systems. This involves realistic simulation and representation of fracture networks, either as individual entities or as a collective system of fracture sets, or a combination of both. By using an integrated finite element/discrete element–discrete fracture network approach it is possible to study the failure of rock masses in tension and compression, along both existing pre-existing fractures and through intact rock bridges, and incorporating complex kinematic mechanisms. The proposed modelling approach fully captures the anisotropic and inhomogeneous effects of natural jointing and is considered to be more realistic than methods relying solely on continuum or discontinuum representation. The paper concludes with a discussion on the development of synthetic rock mass properties, with the intention of providing a more robust link between rock mass strength and rock mass classification systems.

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References

  • Barton N, Lien R, Lunde J (1974) Engineering classification of rock masses for the design of rock support. Rock Mech 6:189–236

    Article  Google Scholar 

  • Bearman RA (1991) The application of rock-mechanics parameters to the prediction of crusher performance. Ph.D. thesis, Camborne School of Mines, Penryn, UK

  • Bieniawski ZT (1989) Engineering rock mass classification. Wiley, New York, p 251

  • Brady B, Brown ET (1993) Rock mechanics for underground mining, 2nd edn. Chapman and Hall, London, p 588

  • Cai M, Kaiser PK (2004) Numerical simulation of the Brazilian test and the tensile strength of anisotropic rocks and rocks with pre-existing cracks. In: Proceedings of the SINOROCK international symposium on rock mechanics: rock characterization, modelling and engineering design methods, 18–21 May, Three Gorges Project site, China. Paper 2B-03

  • Coggan JS, Stead D (2005) Numerical modelling of the effects of weak mudstone on tunnel roof behaviour. In: Proceedings of the 58th Canadian Geotechnical Conference. Saskatoon, Canada. Paper GS502, p 9

  • Dershowitz W, Lee G, Geier J, LaPointe PR (1998) FracMan: interactive discrete feature data analysis, geometric modelling and exploration simulation. User documentation. Golder Associates Inc., Seattle

    Google Scholar 

  • Diederichs MS (2003) Rock fracture and collapse under low confinement conditions. Rock Mech Rock Eng 36:339–381

    Article  Google Scholar 

  • Diederichs MS, Coulson A, Falmagne V, Rizkalla M, Simser B (2002) Applications of rock damage limits to pillar analysis at Brunswick Mine. In: Hammah R, Bawden W, Curran J, Telesnicki M (eds) Mining and tunnelling innovation and opportunity. Proceedings of the 5th North American rock mechanics symposium and 17th Tunnelling Association of Canada conference, Toronto, University of Toronto Press, Toronto

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

    Article  Google Scholar 

  • Elmo D (2006) Evaluation of a hybrid FEM/DEM approach for determination of rock mass strength using a combination of discontinuity mapping and fracture mechanics modelling, with particular emphasis on modelling of jointed pillars. Ph.D. thesis. Camborne School of Mines, University of Exeter, UK

  • Elmo D, Coggan JS, Pine RJ (2005) Characterisation of rock mass strength by combination of field mapping and numerical modelling. In: Proceedings of the 40th US rock mechanics symposium, Anchorage, Alaska

  • Elmo D, Vyazmensky A, Stead D, Rance J (2008) Numerical analysis of pit wall deformation induced by block-caving mining: a combined FEM/DEM-DFN synthetic rock mass approach. In: Proceedings of the 5th conference and exhibition on mass mining, Lulea, Sweden, June 2008, p 10

  • Esterhuizen GS (2006) An evaluation of the strength of slender pillars. SME annual meeting and exhibit, March 27–29, St. Louis, Missouri, preprint 06-003. Society for Mining, Metallurgy, and Exploration, Inc., Littleton

  • Fang Z, Harrison JP (2002) Numerical analysis of progressive fracture and associated behaviour of mine pillars by use of a local degradation model. Trans Inst Min Metall 111:A59–A72

    Google Scholar 

  • Golder Associates (2007) FracMan Technology Group, Golder Associates. http://www.fracman.golder.com

  • Hedley DGF, Grant F (1972) Stope-and-pillar design for the Elliot lake uranium mines. Bull Can Inst Min Metall 65:37–44

    Google Scholar 

  • Hoek E, Brown ET (1980) Underground excavations in rock. Institution of Mining and Metallurgy, London, p 527

  • Hoek ET, Kaiser PK, Bawden WF (1995) Support of underground excavations in hard rock. A.A. Balkena, Rotterdam, p 215

  • Hoek ET, Carranza Torres C, Corkum B (2002) Hoek–Brown failure criterion-2002 edition. In: RocLab user’s manual. Rocscience. http://www.rocscience.com

  • Karami A, Stead D (2008) Asperity degradation and damage in the direct shear test: a hybrid DEM/FEM approach. Rock Mech Rock Eng 41:229–266

    Article  Google Scholar 

  • Klerck PA (2000) The finite element modelling of discrete fracture in quasi-brittle materials. Ph.D. thesis, University of Wales, Swansea

  • Krauland N, Soder PE (1987) Determining pillar strength from pillar failure observations. Eng Min J 8:34–40

    Google Scholar 

  • Madden BJ (1991) A re-assessment of coal-pillar design. J S Afr Inst Min Metallurgy 90(1):27–37

    Google Scholar 

  • Martin CD, Maybee WG (2000) The strength of hard-rock pillars. Int J Rock Mech Min Sci 37:1239–1246

    Article  Google Scholar 

  • Munjiza A (2004) The combined finite-discrete element method. Wiley, Chichester, p 348

  • Nordlund E, Radberg G, Jing L (1995) Determination of failure modes in jointed pillars by numerical modelling. In: Fractured and jointed rock masses. Balkema, Rotterdam, pp 345–350

  • Owen DRJ, Feng YT, de Souza Neto EA, Cottrell MG, Wang F, Andrade Pires FM, Yu J (2004) The modelling of multi-fracturing solids and particulate media. Int J Numer Methods Eng 60(1):317–339

    Article  Google Scholar 

  • Pierce M, Cundall P, Potyondy D, Mas Ivars D (2007) A synthetic rock mass model for jointed rock. In: Proceedings of the 1st Canada–US rock mechanics symposium, vol 1. Vancouver, pp 341–349

  • Pine RJ, Harrison JP (2003) Rock mass properties for engineering design. Q J Eng Geol Hydrogeol 36:5–16

    Article  Google Scholar 

  • Pine RJ, Coggan JS, Flynn ZN, Elmo D (2006) The development of a new numerical modelling approach for naturally fractured rock masses. Rock Mech Rock Eng 39(5):395–419

    Article  Google Scholar 

  • Pine RJ, Owen DRJ, Coggan JS, Rance JM (2007) A new discrete modelling approach for rock masses. Geotechnique 57(9):757–766

    Article  Google Scholar 

  • Roberts DP, Lane WL, Yanske TR (1998) Pillar extraction at the Doe run Company, 1991–1998. AusIMM 1998-the mining cycle, pp 227–233

  • Roberts D, Tolfree D, McIntire H (2007) Using confinement as a means to estimate pillar strength in a room and pillar mine. In: Proceedings of the 1st Canada–US rock mechanics symposium, vol 2. Vancouver, pp 1455–1462

  • Rockfield (2007) Rockfield Software Ltd. Technium, Kings Road, Prince of Wales Dock, Swansea, SA1 8PH, UK. http://www.rockfield.co.uk

  • Rocscience (2007) RocLab user’s manual. http://www.rocscience.com

  • Singh M, Rao KS, Ramamurthy T (2002) Strength and deformational behaviour of a jointed rock mass. Rock Mech Rock Eng 35(1):45–64

    Article  Google Scholar 

  • Sjoberg J (1992) Failure modes and pillar behaviour in the Zinkgruvan mine. In: Proceedings of 33rd US rock mechanics symposium. Santa Fe. Balkema, Rotterdam, pp 491–500

  • Stead D, Coggan JS, Eberhardt E (2004) Realistic simulation of rock slope failure mechanisms: the need to incorporate principles of fracture mechanics. In: Proceedings of SINOROCK international symposium on rock mechanics: rock characterization, modelling and engineering design methods, 18–21 May, Three Gorges Project site, China. Paper 2B-17

  • Stead D, Coggan JS, Elmo D, Yan M (2007) Modelling brittle fracture in rock slopes: experience gained and lessons learned. In: Proceedings of international symposium. Rock slope stability in open pit mining and civil engineering. Perth, Australia

  • Stefanizzi S (2007) Numerical modelling of strain-driven fractures around tunnels in layered materials. Ph.D. thesis. University of Turin, Italy

  • Von Kimmelmann MR, Hyde B, Madgwick RJ (1984) The use of computer applications at BCL limited in planning pillar extraction and design of mining layouts. In: Proceedings of ISRM symposium design and performance of underground excavations. Geotechnical Society, London, pp 53–63

  • Vyazmensky A, Elmo D, Stead D, Rance J (2008) Numerical analysis of the influence of geological structures on development of surface subsidence associated with block caving mining. Proceedings of the 5th conference and exhibition on mass mining, Lulea, Sweden, June 2008, p 10

  • Wiles TD (2006) Reliability of numerical modelling predictions. J Rock Mech Min Sci 43:454–472

    Article  Google Scholar 

  • Yan M, Stead D, Sturzenegger M (2007) Step-path characterization in rock slopes: an integrated numerical modelling-digital imaging approach. In: Proceedings of 11th congress of the international society for rock mechanics. Lisbon, 9–13 July 2007, pp 693–696

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Acknowledgements

The authors would like to acknowledge financial support provided through NSERC Discovery and FRBC Endowment funds provided to the second author. Support and documentation relating to FracMan, provided by Golder Associates (Dr. Steve Rogers), are greatly appreciated. Support and material relating to ELFEN was provided by Rockfield Software. Mapping at Middleton mine was carried out as part of a project funded by the Engineering and Physical Sciences Research Council of the UK. The main component of the ELFEN modelling for Middleton mine was undertaken by the corresponding author as part of his Ph.D. thesis at the Camborne School of Mines (University of Exeter, UK) under the supervision of Prof. R.J. Pine and Dr. J.S. Coggan.

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Correspondence to Davide Elmo.

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Elmo, D., Stead, D. An Integrated Numerical Modelling–Discrete Fracture Network Approach Applied to the Characterisation of Rock Mass Strength of Naturally Fractured Pillars. Rock Mech Rock Eng 43, 3–19 (2010). https://doi.org/10.1007/s00603-009-0027-3

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