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Geofluids
Volume 2018, Article ID 4252904, 20 pages
https://doi.org/10.1155/2018/4252904
Research Article

Modeling Simultaneous Multiple Fracturing Using the Combined Finite-Discrete Element Method

1School of Civil Engineering, Wuhan University, Wuhan 430072, China
2State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, China
3Department of Mechanical Engineering, Mississippi State University, Mississippi State, MS 39762, USA

Correspondence should be addressed to Pingli Liu; nc.ude.upws@ilgnipuil

Received 23 August 2017; Accepted 8 January 2018; Published 18 February 2018

Academic Editor: Wei Wu

Copyright © 2018 Quansheng Liu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. United States Department of Energy, Modern shale gas development in the United States: A Primer, 2009. View at Publisher · View at Google Scholar
  2. K. Sato, C. A. Wright, and M. Ichikawa, “Post-frac analyses indicating multiple fractures created in a volcanic formation,” SPE Production and Facilities, vol. 14, no. 4, pp. 277–283, 1999. View at Publisher · View at Google Scholar · View at Scopus
  3. J. E. Olson, “Multi-fracture propagation modeling: Applications to hydraulic fracturing in shales and tight gas sands,” in Proceedings of the 42nd U.S. Rock Mechanics - 2nd U.S.-Canada Rock Mechanics Symposium 2008, July 2008. View at Scopus
  4. H. Wang, “Numerical investigation of fracture spacing and sequencing effects on multiple hydraulic fracture interference and coalescence in brittle and ductile reservoir rocks,” Engineering Fracture Mechanics, vol. 157, pp. 107–124, 2016. View at Publisher · View at Google Scholar · View at Scopus
  5. P. N. Mutalik and B. Gibson, “Case history of sequential and simultaneous fracturing of the Barnett Shale in Parker County,” in Proceedings of the SPE Annual Technical Conference and Exhibition, ATCE 2008, pp. 3203–3209, September 2008. View at Scopus
  6. G. Waters, B. Dean, R. Downie, K. Kerrihard, L. Austbo, and B. McPherson, “Simultaneous hydraulic fracturing of adjacent horizontal wells in the woodford shale,” in Proceedings of the SPE Hydraulic Fracturing Technology Conference 2009, pp. 694–715, January 2009. View at Scopus
  7. Y. Yongtao, T. Xuhai, Z. Hong, L. Quansheng, and L. Zhijun, “Hydraulic fracturing modeling using the enriched numerical manifold method,” Applied Mathematical Modelling, vol. 53, pp. 462–486, 2018. View at Google Scholar
  8. A. Dahi-Taleghani and J. E. Olson, “Numerical modeling of multistranded-hydraulic-fracture propagation: accounting for the interaction between induced and natural fractures,” SPE Journal, vol. 16, no. 3, pp. 575–581, 2011. View at Publisher · View at Google Scholar · View at Scopus
  9. X. Weng, O. Kresse, C. Cohen, R. Wu, and H. Gu, “Modeling of hydraulic-fracture-network propagation in a naturally fractured formation,” SPE Production and Operations, vol. 26, no. 4, pp. 368–380, 2011. View at Publisher · View at Google Scholar · View at Scopus
  10. R. Wu, O. Kresse, X. Weng, C. Cohen, and H. Gu, “Modeling of Interaction of Hydraulic Fractures in Complex Fracture Networks,” in Proceedings of the SPE Hydraulic Fracturing Technology Conference, The Woodlands, Tex, USA, 2012. View at Publisher · View at Google Scholar
  11. Y. Yongtao, T. Xuhai, Z. Hong, L. Quansheng, and H. Lei, “Three-dimensional fracture propagation with numerical manifold method,” Engineering Analysis with Boundary Elements, vol. 72, pp. 65–77, 2016. View at Google Scholar
  12. N. B. Nagel and M. Sanchez-Nagel, “Stress shadowing and microseismic events: a numerical evaluation,” Society of Petroleum Engineers, 2011. View at Google Scholar
  13. J. Adachi, E. Siebrits, A. Peirce, and J. Desroches, “Computer simulation of hydraulic fractures,” International Journal of Rock Mechanics and Mining Sciences, vol. 44, no. 5, pp. 739–757, 2007. View at Publisher · View at Google Scholar · View at Scopus
  14. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, McGraw-Hill, 2008.
  15. K. Sato, M. Itaoka, and T. Hashida, “FEM simulation of mixed mode crack propagation induced by hydraulic fracturing,” Processing and Properties of Porous Nickel Titanium, 2013. View at Google Scholar
  16. A. Paluszny and R. W. Zimmerman, “Numerical simulation of multiple 3D fracture propagation using arbitrary meshes,” Computer Methods Applied Mechanics and Engineering, vol. 200, no. 9, pp. 953–966, 2011. View at Publisher · View at Google Scholar · View at MathSciNet
  17. A. Paluszny, X. Tang, M. Nejati, and R. W. Zimmerman, “A direct fragmentation method with Weibull function distribution of sizes based on finite- and discrete element simulations,” International Journal of Solids and Structures, vol. 80, pp. 38–51, 2016. View at Publisher · View at Google Scholar · View at Scopus
  18. N. Moës, J. Dolbow, and T. Belytschko, “A finite element method for crack growth without remeshing,” International Journal for Numerical Methods in Engineering, vol. 46, no. 1, pp. 131–150, 1999. View at Publisher · View at Google Scholar · View at Scopus
  19. E. Gordeliy and A. Peirce, “Coupling schemes for modeling hydraulic fracture propagation using the XFEM,” Computer Methods Applied Mechanics and Engineering, vol. 253, no. 1, pp. 305–322, 2013. View at Publisher · View at Google Scholar · View at MathSciNet
  20. B. Lecampion, “An extended finite element method for hydraulic fracture problems,” Communications in Numerical Methods in Engineering, vol. 25, no. 2, pp. 121–133, 2009. View at Publisher · View at Google Scholar · View at Scopus
  21. K. Su, X. Zhou, X. Tang, X. Xu, and Q. Liu, “Mechanism of cracking in dams using a hybrid FE-meshfree method,” International Journal of Geomechanics, vol. 17, no. 9, Article ID 04017071, 2017. View at Publisher · View at Google Scholar · View at Scopus
  22. P. Gupta and C. A. Duarte, “Simulation of non-planar three-dimensional hydraulic fracture propagation,” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 38, no. 13, pp. 1397–1430, 2014. View at Publisher · View at Google Scholar · View at Scopus
  23. T. A. Cruse, “Numerical solutions in three dimensional elastostatics,” International Journal of Solids and Structures, vol. 5, no. 12, pp. 1259–1274, 1969. View at Publisher · View at Google Scholar · View at Scopus
  24. D. Zhou, P. Zheng, P. He, and J. Peng, “Hydraulic fracture propagation direction during volume fracturing in unconventional reservoirs,” Journal of Petroleum Science and Engineering, vol. 141, pp. 82–89, 2016. View at Publisher · View at Google Scholar · View at Scopus
  25. M. Behnia, K. Goshtasbi, G. Zhang, and S. H. M. Yazdi, “Numerical modeling of hydraulic fracture propagation and reorientation,” European Journal of Environmental and Civil Engineering, vol. 19, no. 2, pp. 152–167, 2015. View at Publisher · View at Google Scholar · View at Scopus
  26. N. K. Mukhopadhyay, S. K. Maiti, and A. Kakodkar, “A review of SIF evaluation and modelling of singularities in BEM,” Computational Mechanics, vol. 25, no. 4, pp. 358–375, 2000. View at Publisher · View at Google Scholar · View at Scopus
  27. F. K. Wittel, H. A. Carmona, F. Kun, and H. J. Herrmann, “Mechanisms in impact fragmentation,” International Journal of Fracture, vol. 154, no. 1-2, pp. 105–117, 2008. View at Publisher · View at Google Scholar · View at Scopus
  28. B. Damjanac, I. Gil, M. Pierce, M. Sanchez, As. AV, and J. Mclennan, “A new approach to hydraulic fracturing modeling in naturally fractured reservoirs,” Technology & Health Care, vol. 18, no. 4-5, pp. 325–334, 2010. View at Google Scholar
  29. S. Marina, I. Derek, P. Mohamed, S. Yong, and EK. Imo-Imo, “Simulation of the hydraulic fracturing process of fractured rocks by the discrete element method,” Environmental Earth Sciences, vol. 73, no. 12, pp. 8451–8469, 2015. View at Google Scholar
  30. A. Munjiza, The Combined Finite-Discrete Element Method, John Wiley & Sons, 2004. View at Publisher · View at Google Scholar
  31. O. K. Mahabadi, N. X. Randall, Z. Zong, and G. Grasselli, “A novel approach for micro-scale characterization and modeling of geomaterials incorporating actual material heterogeneity,” Research Letters, vol. 39, no. 1, p. 1303, 2012. View at Google Scholar
  32. Q. Lei, J.-P. Latham, and J. Xiang, “Implementation of an Empirical Joint Constitutive Model into Finite-Discrete Element Analysis of the Geomechanical Behaviour of Fractured Rocks,” Rock Mechanics and Rock Engineering, vol. 49, no. 12, pp. 4799–4816, 2016. View at Publisher · View at Google Scholar · View at Scopus
  33. J. P. Latham, J. Xiang, M. Belayneh, H. M. Nick, C. F. Tsang, and M. J. Blunt, “Modelling stress-dependent permeability in fractured rock including effects of propagating and bending fractures,” International Journal of Rock Mechanics and Mining Sciences, vol. 57, pp. 100–112, 2013. View at Google Scholar
  34. Q. Lei, JP. Latham, J. Xiang, and P. Lang, “Coupled FEMDEM-DFN model for characterising the stress-dependent permeability of an anisotropic fracture system,” International Conference on Discrete Fracture Network Engineering, 2014. View at Google Scholar
  35. A. Obeysekara, Q. Lei, P. Salinas et al., “A fluid-solid coupled approach for numerical modeling of near-wellbore hydraulic fracturing and flow dynamics with adaptive mesh refinement,” in Proceedings of the 50th US Rock Mechanics/Geomechanics Symposium 2016, pp. 1688–1699, June 2016. View at Scopus
  36. C. Yan, H. Zheng, G. Sun, and X. Ge, “Combined finite-discrete element method for simulation of hydraulic fracturing,” Rock Mechanics and Rock Engineering, vol. 49, no. 4, pp. 1389–1410, 2016. View at Publisher · View at Google Scholar
  37. Y.-Y. Jiao, H.-Q. Zhang, X.-L. Zhang, H.-B. Li, and Q.-H. Jiang, “A two-dimensional coupled hydromechanical discontinuum model for simulating rock hydraulic fracturing,” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 39, no. 5, pp. 457–481, 2015. View at Publisher · View at Google Scholar
  38. M. Chen, H. Jiang, G. Q. Zhang, and Y. Jin, “The experimental investigation of fracture propagation behavior and fracture geometry in hydraulic fracturing through oriented perforations,” Petroleum Science and Technology, vol. 28, no. 13, pp. 1297–1306, 2010. View at Publisher · View at Google Scholar · View at Scopus
  39. A. Munjiza, K. R. F. Andrews, and J. K. White, “Combined single and smeared crack model in combined finite-discrete element analysis,” International Journal for Numerical Methods in Engineering, vol. 44, no. 1, pp. 41–57, 1999. View at Publisher · View at Google Scholar · View at Scopus
  40. A. Munjiza and K. R. F. Andrews, “NBS contact detection algorithm for bodies of similar size,” International Journal for Numerical Methods in Engineering, vol. 43, no. 1, pp. 131–149, 1998. View at Publisher · View at Google Scholar · View at Scopus
  41. D. S. Dugdale, “Yielding of steel sheets containing slits,” Journal of the Mechanics and Physics of Solids, vol. 8, no. 2, pp. 100–104, 1960. View at Publisher · View at Google Scholar · View at Scopus
  42. G. I. Barenblatt, “The mathematical theory of equilibrium cracks in brittle fracture,” Advances in Applied Mechanics, vol. 7, no. C, pp. 55–129, 1962. View at Publisher · View at Google Scholar · View at Scopus
  43. P. A. Witherspoon, J. S. Y. Wang, K. Iwai, and J. E. Gale, “Validity of cubic law for fluid flow in a deformable rock fracture,” Water Resources Research, vol. 16, no. 6, pp. 1016–1024, 2010. View at Publisher · View at Google Scholar · View at Scopus
  44. Itasca, UDEC version 4.0 users manuals, Itasca Consulting Group Inc, 2005.
  45. K. Iwai, Fundamental studies of the fluid flow through a single fracture, 1976.
  46. H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, Oxford Science Publications, 2nd edition, 1995. View at MathSciNet
  47. J. Almaguer, J. Manrique, S. Wickramasuriya et al., “Oriented perforating minimizes flow restrictions and friction pressures during fracturing,” Oilfield Rev, vol. 14, no. 1, pp. 16–31, 2002. View at Google Scholar
  48. H. Wang, “Numerical modeling of non-planar hydraulic fracture propagation in brittle and ductile rocks using XFEM with cohesive zone method,” Journal of Petroleum Science and Engineering, vol. 135, pp. 127–140, 2015. View at Publisher · View at Google Scholar · View at Scopus
  49. J. Olson and D. D. Pollard, “Inferring paleostresses from natural fracture patterns: a new method,” Geology, vol. 17, no. 4, pp. 345–348, 1989. View at Publisher · View at Google Scholar · View at Scopus
  50. D. Kumar and A. Ghassemi, “A three-dimensional analysis of simultaneous and sequential fracturing of horizontal wells,” Journal of Petroleum Science and Engineering, vol. 146, pp. 1006–1025, 2016. View at Publisher · View at Google Scholar · View at Scopus
  51. K. Wu, “Simultaneous multifracture treatments: fully coupled fluid flow and fracture mechanics for horizontal Wells,” SPE Journal, vol. 20, no. 2, 2015. View at Publisher · View at Google Scholar