Three-dimensional random Voronoi models for simulation of brittle rock damage around underground excavations in laminated ground

Authors: Ghazvinian, E; Kalenchuk, KS; Diederichs, MS

Open access courtesy of:

DOI https://doi.org/10.36487/ACG_rep/1704_19_Ghazvinian

Cite As:
Ghazvinian, E, Kalenchuk, KS & Diederichs, MS 2017, 'Three-dimensional random Voronoi models for simulation of brittle rock damage around underground excavations in laminated ground', in J Wesseloo (ed.), Deep Mining 2017: Proceedings of the Eighth International Conference on Deep and High Stress Mining, Australian Centre for Geomechanics, Perth, pp. 277-288, https://doi.org/10.36487/ACG_rep/1704_19_Ghazvinian

Download citation as:   ris   bibtex   endnote   text   Zotero


Abstract:
Three-dimensional Voronoi tessellations are utilised to demonstrate the simulation of brittle damage around underground mine excavations. Synthetic rock mass models are developed based on calibrated simulations that have been up-scaled to represent excavation-scale rock mass conditions. Rock mass anisotropy plays a significant role in the stability of underground excavations, and so anisotropic conditions are replicated by implementing the up-scaled laminated grain-based model composed of elongated three-dimensional Voronoi blocks. Models explore the influence of the orientation of anisotropic fabric with respect to the in situ stress tensor to demonstrate the Voronoi-based discrete element method modelling technique for simulation of brittle failure. The numerical results verified the success of this approach in capturing the correct failure mode controlled by fabric-guided fracturing in the walls of deep undergrounds openings.

Keywords: numerical modelling, 3D Voronoi tessellation, excavation stability

References:
Cho, N, Martin, CD & Sego, DC 2007, ‘A clumped particle model for rock’, International Journal of Rock Mechanics and Mining Sciences, vol. 44, no. 7, pp. 997–1010.
Cundall, PA 1988, ‘Formulation of a three-dimensional distinct element model — Part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks’, International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, vol. 25, no. 3, pp. 107–116.
Cundall, PA & Hart, RD 1985, Development of generalized 2-D and 3-D distinct element programs for modeling jointed rock, Itasca Consulting Group Inc., Minneapolis.
Damjanac, B, Board, M, Lin, M, Kicker, D & Leem, J 2007, ‘Mechanical degradation of emplacement drifts at Yucca Mountain — A modeling case study: Part II: Lithophysal rock’, International Journal of Rock Mechanics and Mining Sciences, vol. 44, no. 3, pp. 368–399.
Diederichs, MS 2003, ‘Rock fracture and collapse under low confinement conditions’, Rock Mechanics and Rock Engineering, vol. 36, no. 5, pp. 339–381.
Diederichs, MS 2007, ‘The 2003 Canadian geotechnical colloquium: Mechanistic interpretation and practical application of damage and spalling prediction criteria for deep tunnelling’, Canadian Geotechnical Journal, vol. 44, no. 9, pp. 1082–1116.
Diederichs, MS, Kaiser, PK & Eberhardt, E 2004, ‘Damage initiation and propagation in hard rock during tunnelling and the influence of near-face stress rotation’, International Journal of Rock Mechanics and Mining Sciences, vol. 41, no. 5, pp. 785–812.
Gao, FQ & Stead, D 2014, The application of a modified Voronoi logic to brittle fracture modelling at the laboratory and field scale’, International Journal of Rock Mechanics and Mining Sciences, vol. 68, pp. 1–14.
Garza-Cruz, TV, Pierce, M & Kaiser, PK 2014 ‘Use of 3DEC to study spalling and deformation associated with tunnelling at depth’, in M Hudyma & Y Potvin (eds), Proceedings of the Seventh International Seminar on Deep and High Stress Mining, Australian Centre for Geomechanics, Perth, pp. 421–434.
Ghazvinian, E 2010, ‘Modelling and testing strategies for brittle fracture simulation in crystalline rock samples’, MSc thesis, Queen’s University, Kingston.
Ghazvinian, E, Diederichs, MS & Quey, R 2014, ‘3D random Voronoi grain-based models for simulation of brittle rock damage and fabric-guided micro-fracturing’, Journal of Rock Mechanics and Geotechnical Engineering, vol. 6, no. 6, pp. 506–521.
Itasca 2008a, PFC2D (Particle Flow Code 2D), software, version 4.0, Itasca Consulting Group Inc., Minneapolis.
Itasca 2008b, PFC3D (Particle Flow Code 3D), software, version 4.0, Itasca Consulting Group Inc., Minneapolis.
Itasca 2012, FLAC (Fast Lagrangian Analysis of Continua), software, version 7.0, Itasca Consulting Group Inc., Minneapolis.
Itasca 2013, 3DEC (3 Dimensional Distinct Element Code), software, version 5.0, Itasca Consulting Group Inc., Minneapolis.
Jaeger, JC & Cook, NG 1969, Fundamentals of Rock Mechanics, Methuen & Co Ltd, London.
Karampinos, E, Hadjigeorgiou, J, Hazzard, J & Turcotte, P 2015, ‘Discrete element modelling of the buckling phenomenon in deep hard rock mines’, International Journal of Rock Mechanics and Mining Sciences, vol. 80, pp. 346–356.
Kazerani, T 2013, ‘A discontinuum-based model to simulate compressive and tensile failure in sedimentary rock’, Journal of Rock Mechanics and Geotechnical Engineering, vol. 5, no. 5, pp. 378–388.
Kazerani, T & Zhao, J 2010, ‘Micromechanical parameters in bonded particle method for modeling of brittle material failure’, International Journal for Numerical and Analytical Methods in Geomechanics, vol. 34, no. 18, pp. 1877–1895.
Lan, H, Martin, CD & Hu, B 2010, ‘Effect of heterogeneity of brittle rock on micromechanical extensile behavior during compression loading’, Journal of Geophysical Research, vol. 115, pp. 1–14.
Lisjak, A, Grasselli, G & Vietor T 2014b, ‘Continuum-discontinuum analysis of failure mechanisms around unsupported circular excavations in anisotropic clay shales’, International Journal of Rock Mechanics and Mining Sciences, vol. 65, pp. 96–115.
Lisjak, A, Tatone, BS, Grasselli, G & Vietor, T 2014a, ‘Numerical modelling of the anisotropic mechanical behaviour of Opalinus Clay at the laboratory-scale using FEM/DEM’, Rock Mechanics and Rock Engineering, vol. 47, no. 1, pp. 187–206.
Mahabadi, OK, Lisjak, A, Grasselli, G & Munjiza, A 2012a, ‘Y-Geo: a new combined finite-discrete element numerical code for geomechanical applications’, International Journal of Geomechanics, vol. 12, no. 6, pp. 676–688.
Mahabadi, OK, Randall, NX, Zong, Z & Grasselli, G 2012b, ‘A novel approach for micro‐scale characterization and modeling of geomaterials incorporating actual material heterogeneity’, Geophysical Research Letters, vol. 39.
Potyondy, DO 2012, ‘A flat-jointed bonded-particle material for hard rock’, in Proceedings of the 46th U.S. Rock Mechanics/Geomechanics Symposium, American Rock Mechanics Association, Chicago, USA.
Potyondy, DO & Cundall, PA 2004, ‘A bonded-particle model for rock’, International Journal of Rock Mechanics and Mining Sciences, vol. 41, no. 8, pp. 1329–1364.
Quey, R, Dawson, PR & Barbe, F 2011, ‘Large-scale 3D random polycrystals for the finite element method: generation, meshing and remeshing’, Computer Methods in Applied Mechanics and Engineering, vol. 200, no. 17, pp. 1729–1745.
Scholtès, L & Donzé, FV 2013, ‘A DEM model for soft and hard rocks: role of grain interlocking on strength’, Journal of the Mechanics and Physics of Solids, vol. 61, no. 2, pp. 352–369.
Sharrock, GB & Cuello, DA, 2016, ‘Geotechnical milestones at Mount Lyell Mine’, Proceedings of the Seventh International Conference and Exhibition on Mass Mining (MassMin 2016), pp. 427–438.
Sweby, G, Dight, P & Potvin, Y 2016, ‘A numerical modelling case study - correlation of ground support instrumentation data with a three dimensional inelastic model’, in E Nordlund, TH Jones & A Eitzenberger (eds), Proceedings of the Eighth International Symposium on Ground Support in Mining and Underground Construction, 12–14 September 2016, Luleå University of Technology, Luleå.
Turichshev, A & Hadjigeorgiou, J 2016, ‘Simulating intact rock behaviour using bonded particle and bonded block models’, Proceedings of the Seventh International Conference and Exhibition on Mass Mining (MassMin 2016), pp. 453–460.
Vakili, A, Albrecht, J & Sandy, M 2014, ‘Rock strength anisotropy and its importance in underground geotechnical design’, Proceedings of AusRock 2014: Third Australasian Ground Control in Mining Conference, pp. 167–180.
Yoon, JS, Jeon, S, Stephansson, O, Zang, A & Dresen, G 2008, ‘A new method of microparameter determination for PFC2D synthetic rock model generation’, Proceedings of the 1st International FLAC/DEM Symposium on Numerical Modeling, Itasca Consulting Group Inc., Minneapolis.
You, S, Zhao, GF & Ji, HG 2011, ‘Model for transversely isotropic materials based on distinct lattice spring model (DLSM)’, Journal of Computers, vol. 6, no. 6, pp. 1139–1144.




© Copyright 2024, Australian Centre for Geomechanics (ACG), The University of Western Australia. All rights reserved.
View copyright/legal information
Please direct any queries or error reports to repository-acg@uwa.edu.au