Authors: Ghazvinian, E; Kalenchuk, KS

Open access courtesy of:

DOI https://doi.org/10.36487/ACG_rep/1704_21_Ghazvinian

Cite As:
Ghazvinian, E & Kalenchuk, KS 2017, 'Three-dimensional Voronoi-based distinct element model for simulation of hydraulic fracture propagation', 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. 299-309, https://doi.org/10.36487/ACG_rep/1704_21_Ghazvinian

Download citation as:   ris   bibtex   endnote   text   Zotero


Abstract:
Hydraulic fracturing is a complex physical process which involves the coupling of hydraulic and mechanical behaviours as well as, in some cases, temperature effects. The interdependence of these various factors is complex, and cannot be fully captured by the relatively simple state-of-practice tools employed in investigations of hydraulic fracturing. In this paper, a new approach is presented for fully coupled hydromechanical simulation of hydraulic fracture propagation by using three-dimensional Voronoi geometries within the context of distinct element formulation. The block boundaries formed by the Voronoi tessellation, providing a random flow pathway for the fluid and the contact breakage due to the increase of the fluid pressure acting on them, replicate the hydraulic fracture propagation. While the Voronoi approach for hydraulic fracturing simulation has been implemented previously in 2D models, this work puts forward a technique for extension of its application to 3D models. A series of verification tests are performed to investigate the suitability of the proposed approach. Finally, example applications are presented for simulation of single-stage and multi-stage hydraulic fracturing of intact rock by using the 3D Voronoi models at large scale.

Keywords: numerical modelling, 3D Voronoi tessellation, hydraulic fracturing

References:
Batchelor, GK 1967, An introduction to fluid dynamics, Cambridge University Press, Cambridge.
Board, M, Rorke, T, William, G & Gay, N 1992, ‘Fluid injection for rockburst control in deep mining’, in JR Tillerson & WR Wawersik (eds), Proceedings of the 33rd U.S. Symposium on Rock Mechanics, pp. 111–120.
Brzovic, A, Rogers, S, Webb, G, Hurtado, JP, Marin, N, Schachter, P, Alvarez, J & Baraona, K 2015, ‘Discrete fracture network modelling to quantify rock mass pre-conditioning at the El Teniente Mine, Chile’, Mining Technology, vol. 124, no. 3, pp. 163–177.
Damjanac, B & Cundall, P 2016, ‘Application of distinct element methods to simulation of hydraulic fracturing in naturally fractured reservoirs’, Computers and Geotechnics, vol. 71, pp. 283–294.
Damjanac, B, Detournay, C & Cundall, PA 2015, ‘Application of particle and lattice codes to simulation of hydraulic fracturing’, Computational Particle Mechanics, pp. 1–13.
Gale, JF, Reed, RM & Holder, J 2007, ‘Natural fractures in the Barnett Shale and their importance for hydraulic fracture treatments’, AAPG Bulletin, vol. 91, no. 4, pp. 603–622.
Geertsma, J & de Klerk, F 1969, ‘A rapid method of predicting width and extent of hydraulic induced fractures’, Journal of Petroleum Technology, vol. 21, pp. 1571–1581.
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, issue 6, pp. 506–521.
Grasselli, G, Lisjak, A, Mahabadi, OK & Tatone, BS 2015, ‘Influence of pre-existing discontinuities and bedding planes on hydraulic fracturing initiation’, European Journal of Environmental and Civil Engineering, vol. 19, no. 5, pp. 580–597.
Itasca 2011, Long-term geomechanical stability analysis: OPG’s deep geological repository for low & intermediate level waste, technical report, NWMO DGR-TR-2011-17.
Itasca 2013, 3DEC (3 Dimensional Distinct Element Code), software, version 5.0, Itasca Consulting Group Inc., Minneapolis, viewed 24 January 2017, www.itascacg.com/software/3dec
Jeffrey, RG, Bunger, AP, Lecampion, B, Zhang, X, Chen, ZR, van As, A, Allison, DP, De Beer, W, Dudley, JW, Siebrits, E & Thiercelin, MJ 2009, ‘Measuring hydraulic fracture growth in naturally fractured rock’, 2009 SPE Annual Technical Conference and Exhibition, 4–7 October 2009, New Orleans, Society of Petroleum Engineers, Richardson.
Kaiser, P, Valley, B, Dusseault, M & Duff, D 2013, ‘Hydraulic fracturing mine back trials – design rationale and project status’, in A Bunger & J McLennan (eds), Effective and Sustainable Hydraulic Fracturing, pp. 877–891.
Katsaga, T, Riahi, A & Damjanac, B 2015, ‘Three-dimensional investigation of hydraulic treatment in naturally fractured reservoirs’, Proceedings of the 40th Workshop on Geothermal Reservoir Engineering, 26-28 January 2015, Stanford.
Khristianovich, SA & Zheltov, YP 1955, ‘Formation of vertical fractures by means of highly viscous liquid’, in A Barbier (ed.), Proceedings of the Fourth World Petroleum Congress, vol. 2, Carlo Colombo, pp. 579–586.
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.
Lee, B, Mack, M & Maxwell, S 2016, ‘Completion optimization using a microseismically calibrated geomechanical hydraulic fracturing simulation in a naturally fractured formation’, Proceedings of the 50th US Rock Mechanics/Geomechanics Symposium, American Rock Mechanics Association, Alexandria, pp. 2877–2882.
Maxwell, SC, Lee, BT & Mack, M 2016, ‘Calibrated microseismic geomechanical modeling of a Horn River Basin hydraulic fracture’, Proceedings of the 50th US Rock Mechanics/Geomechanics Symposium, American Rock Mechanics Association, Alexandria, pp. 2053–2056.
Mills, KW, Jeffrey, RG & Hayes, P 2001, ‘Applications of hydraulic fracturing to control caving events in coal mines – the moonee experience’, in BK Hebblewhite, JM Galvin & T O'Beirne (eds), Proceedings of the Third International Underground Coal Conference: Managing Production Continuity, vol. 1, University of New South Wales, Kensington, Australian Coal Industry Research Laboratories, Rockhampton, pp. 15.
Nagel, NB, Sanchez-Nagel, MA, Zhang, F, Garcia, X & Lee, B 2013a, ‘Coupled numerical evaluations of the geomechanical interactions between a hydraulic fracture stimulation and a natural fracture system in shale formations’, Rock Mechanics and Rock Engineering, vol. 46, no. 3, pp. 581–609.
Nagel, NB, Zhang, F, Sanchez-Nagel, M & Lee, B 2013b, ‘Evaluation of stress changes due to multi-stage hydraulic fracturing consideration of field results’, in D Łydżba & M Kwaśniewski (eds), Proceedings of Eurock 2013: The 2013 ISRM International Symposium: Rock Mechanics for Resources, Energy and Environment , CRC Press, Boca Raton, pp. 941–946.
Nordgren, RP 1972, ‘Propagation of a vertical hydraulic fracture’, SPE Journal, vol. 12, no. 8, pp. 306–314.
Perkins, TK & Kern, LR 1961, ‘Widths of hydraulic fractures’, Journal of Petroleum Technology, vol. 13, no. 9, pp. 937–949.
Pierce, M, Cundall, P, Potyondy, D & Mas Ivars, D 2007, ‘A synthetic rock mass model for jointed rock’, in E Eberhardt, D Stead & T Morrison (eds), Proceedings of Rock Mechanics: Meeting Society's Challenges and Demands, 1st Canada-US Rock Mechanics Symposium, vol. 1, Taylor & Francis Group, London, pp. 341–349.
Pirayehgar, A & Dusseault, MB 2014, ‘The stress ratio effect on hydraulic fracturing in the presence of natural fractures’, in Proceedings of the 48th US Rock Mechanics/Geomechanics Symposium, 1–4 June 2014, Minneapolis, American Rock Mechanics Association, Alexandria, paper ARMA 14-137.
Preisig, G, Eberhardt, E, Gischig, V, Roche, V, Baan, M, Valley, B, Kaiser, PK, Duff, D & Lowther, R 2015, ‘Development of connected permeability in massive crystalline rocks through hydraulic fracture propagation and shearing accompanying fluid injection’, Geofluids, vol. 15, no. 1–2, pp. 321–337.
Riahi, A & Damjanac, B 2013, ‘Numerical study of hydro-shearing in geothermal reservoirs with a pre-existing discrete fracture network’, Proceedings of the 38th Workshop on Geothermal Reservoir Engineering, 11–13 February 2013, Stanford, Stanford Geotheermal Program, Stanford, pp. 13.
Savitski, AA & Detournay, E 2002, ‘Propagation of a penny-shaped fluid-driven fracture in an impermeable rock: asymptotic solutions’, International Journal of Solids and Structures, vol. 39, no. 26, pp. 6311–6337.
Sneddon, IN 1946, ‘The distribution of stress in the neighbourhood of a crack in an elastic solid’, Proceedings of the Royal Society of London, ser. A, vol. 187, The Royal Society Publishing, London, pp. 229–260.
Sneddon, IN & Elliot, AA 1946, ‘The opening of a Griffith crack under internal pressure’, Quarterly of Applied Mathematics, vol. 4, pp. 262–267.
van As, A & Jeffrey, RG 2000, ‘Caving induced by hydraulic fracturing at Northparkes Mines’, in J Girard, M Liebman, C Breeds & T Doe (eds), Pacific Rocks 2000: Proceedings of the 4th North American Rock Mechanics Symposium, Seattle, A.A. Balkema, Rotterdam, pp. 353–360.
van As, A, Jeffrey, R, Chacon, E & Barrera, V 2004, ‘Preconditioning by hydraulic fracturing for block caving in a moderately stressed naturally fractured orebody’, Proceedings of MassMin 2004, Instituto de Ingenieros de Chile, Santiago, pp. 535–541.
Zangeneh, N, Eberhardt, E & Bustin, RM 2014, ‘Investigation of the influence of natural fractures and in situ stress on hydraulic fracture propagation using a distinct-element approach’, Canadian Geotechnical Journal, vol. 52, no. 7, pp. 926–946.




© 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