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Effect of rock anisotropy on initiation and propagation of fractures due to fluid pressurization

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Abstract

The objective of this paper is to study the effect of rock anisotropy on the initiation and propagation of fracture driven by fluid. For this purpose, an improved hydromechanical model considering rock structural anisotropy is established in the framework of the particle flow simulation by assuming that the anisotropic rocks are characterized by a matrix phase with non-persistent weak layers embedded. In this model, the mechanical behavior of rock matrix is described by bond contact while that of weak layers by smooth joint contact, and the fluid flow is reproduced through a new aperture evolution model of pipes redefined according to contact types and orientations. After the calibration of model’s parameters, the effectiveness of proposed model is assessed with the help of a typical case of fluid driven fracture around a borehole. The proposed model can successfully describe the local stress anisotropy and fracture reoriented propagation around borehole due to fluid injection. Some additional numerical simulations with different confining stress are also conducted for the typical case. Moreover, a series of sensitive analysis is further realized to investigate effects of inherent rock anisotropy including elastic, strength and permeability on the initiation and propagation of fractures.

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References

  1. Al-Busaidi A, Hazzard J, Young R (2005) Distinct element modeling of hydraulically fractured lac du bonnet granite. J Geophys Res: Solid Earth 110:B06302

    Article  Google Scholar 

  2. Amadei B (1996) Importance of anisotropy when estimating and measuring in situ stresses in rock. Int J Rock Mech Min Sci 33:293–325

    Article  Google Scholar 

  3. Ambrose J, Zimmerman R, Suarez-Rivera R (2014) Failure of shales under triaxial compressive stress. In: The 48th U.S. rock mechanics/geomechanics symposium. American Rock Mechanics Association

  4. Biot MA (1941) General theory of three-dimensional consolidation. J Appl Phys 12:155–164

    Article  MATH  Google Scholar 

  5. Bybee K (2009) Proper evaluation of shale-gas reservoirs leads to more-effective hydraulic-fracture stimulation. J Pet Technol 61:59–61

    Article  Google Scholar 

  6. Chong Z, Karekal S, Li X, Hou P, Yang G, Liang S (2017) Numerical investigation of hydraulic fracturing in transversely isotropic shale reservoirs based on the discrete element method. J Nat Gas Sci Eng 46:398–420

    Article  Google Scholar 

  7. Cormery F, Welemane H (2007) A critical review of some damage models with unilateral effect. Mech Res Commun 29:391–395

    Article  MATH  Google Scholar 

  8. Cundall PA, Strack ODL (1979) A discrete numerical model for granual assemblies. Geotechnique 29:47–65

    Article  Google Scholar 

  9. Duan K, Kwok CY, Wu W, Jing L (2018) Dem modeling of hydraulic fracturing in permeable rock: influence of viscosity, injection rate and in situ states. Acta Geotech 13:1187–1202

    Article  Google Scholar 

  10. Fjær E, Nes OM (2014) The impact of heterogeneity on the anisotropic strength of an outcrop shale. Rock Mech Rock Eng 47:1603–1611

    Article  Google Scholar 

  11. Gan Q, Elsworth D, Alpern J, Marone C, Connolly P (2015) Breakdown pressures due to infiltration and exclusion in finite length boreholes. J Pet Sci Eng 127:329–337

    Article  Google Scholar 

  12. Guo T, Zhang S, Qu Z, Zhou T, Xiao Y, Gao J (2014) Experimental study of hydraulic fracturing for shale by stimulated reservoir volume. Fuel 128:373–380

    Article  Google Scholar 

  13. Haddag B, Abed-Meraim F, Balan T (2009) Strain localization analysis using a large deformation anisotropic elastic-plastic model coupled with damage. Int J Plast 25:1970–1996

    Article  Google Scholar 

  14. Haimson B (2007) Micromechanisms of borehole instability leading to breakouts in rocks. Int J Rock Mech Min Sci 44:157–173

    Article  Google Scholar 

  15. Haimson B, Fairhurst C, Fairhurst C (1967) Initiation and extension of hydraulic fractures in rocks. Soc Pet Eng J 7:310–318

    Article  Google Scholar 

  16. Kirsch C (1898) Die theorie der elastizitat und die bedurfnisse der festigkeitslehre. Ztschr Vernes Deutsch Ing 42:797–807

    Google Scholar 

  17. Krzaczek M, Nitka M, Kozicki J, Tejchman J (2020) Simulations of hydro-fracking in rock mass at meso-scale using fully coupled DEM/CFD approach. Acta Geotech 15:297–324

    Article  Google Scholar 

  18. Li Z, Li L, Li M, Zhang L, Tang C (2017) A numerical investigation on the effects of rock brittleness on the hydraulic fractures in the shale reservoir. J Nat Gas Sci Eng 50:22–32

    Article  Google Scholar 

  19. Liu Z, Chen M, Zhang G (2014) Analysis of the influence of a natural fracture network on hydraulic fracture propagation in carbonate formations. Rock Mech Rock Eng 47:575–587

    Article  Google Scholar 

  20. Meier T, Rybacki E, Reinicke A, Dresen G (2013) Influence of borehole diameter on the formation of borehole breakouts in black shale. Int J Rock Mech Min Sci 62:74–85

    Article  Google Scholar 

  21. Miehe C, Schaenzel LM, Ulmer H (2015) Phase field modeling of fracture in multi-physics problems. Part I. Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids. Comput Methods Appl Mech Eng 294:449–485

    Article  MathSciNet  MATH  Google Scholar 

  22. Moghaddam RN, Jamiolahmady M (2016) Fluid transport in shale gas reservoirs: simultaneous effects of stress and slippage on matrix permeability. Int J Coal Geol 163:87–99

    Article  Google Scholar 

  23. Niandou H, Shao J, Henry J, Fourmaintraux D (1997) Laboratory investigation of the mechanical behaviour of tournemire shale. Int J Rock Mech Min Sci 34:3–16

    Article  Google Scholar 

  24. Oliver J (1996) Modelling strong discontinuities in solid mechanics via strain softening constitutive equations, part 1: fundamentales. Int J Numer Methods Eng 39:3575–3600

    Article  MATH  Google Scholar 

  25. Park B, Min KB (2015) Bonded-particle discrete element modeling of mechanical behavior of transversely isotropic rock. Int J Rock Mech Min Sci 76:243–255

    Article  Google Scholar 

  26. Potyondy ADO, Cundall BPA (2004) A bonded-particle model for rock. Int J Rock Mech Min Sci 41:1329–1364

    Article  Google Scholar 

  27. Shimizu H, Murata S, Ishida T (2011) The distinct element analysis for hydraulic fracturing in hard rock considering fluid viscosity and particle size distribution. Int J Rock Mech Min Sci 48:712–727

    Article  Google Scholar 

  28. Tan P, Jin Y, Han K, Hou B, Chen M, Guo X, Gao J (2017) Analysis of hydraulic fracture initiation and vertical propagation behavior in laminated shale formation. Fuel 206:482–493

    Article  Google Scholar 

  29. Wang T, Zhou W, Chen J, Xiao X, Li Y, Zhao X (2014) Simulation of hydraulic fracturing using particle flow method and application in a coal mine. Int J Coal Geol 121:1–13

    Article  Google Scholar 

  30. Warpinski NR, Mayerhofer MJ, Vincent MC, Cipolla CL, Lolon EP (2009) Stimulating unconventional reservoirs: Maximizing network growth while optimizing fracture conductivity. J Can Pet Technol 48:39–51

    Article  Google Scholar 

  31. Zeng QD, Yao J, Shao JF (2018) Numerical study of hydraulic fracture propagation accounting for rock anisotropy. J Pet Sci Eng 160:422–432

    Article  Google Scholar 

  32. Zeng QD, Yao J, Shao JF (2019) Study of hydraulic fracturing in an anisotropic poroelastic medium via a hybrid EDFM-XFEM approach. Comput Geotech 105:51–68

    Article  Google Scholar 

  33. Zhang F, Damjanac B, Huang H (2013) Coupled discrete element modeling of fluid injection into dense granular media. J Geophys Res: Solid Earth 118:2703–2722

    Article  Google Scholar 

  34. Zhang F, Wang T, Liu F, Peng M, Bate B, Wang P (2022) Hydro-mechanical coupled analysis of near-wellbore fines migration from unconsolidated reservoirs. Acta Geotech 17:3535–3551

    Article  Google Scholar 

  35. Zhang Q, Zhang XP, Sun W (2020) Hydraulic fracturing in transversely isotropic tight sandstone reservoirs: a numerical study based on bonded-particle model approach. J Struct Geol 136:104068

    Article  Google Scholar 

  36. Zhang X, Wang JG, Gao F, Ju Y, Liu J (2017) Impact of water and nitrogen fracturing fluids on fracturing initiation pressure and flow pattern in anisotropic shale reservoirs. Comput Geotech 81:59–76

    Article  Google Scholar 

  37. Zhang Y, Liu Z, Han B, Zhu S, Zhang X (2022) Numerical study of hydraulic fracture propagation in inherently laminated rocks accounting for bedding plane properties. J Pet Sci Eng 210:109798

    Article  Google Scholar 

  38. Zhang Y, Shao J, Liu Z, Shi C (2021) An improved hydromechanical model for particle flow simulation of fractures in saturated rocks. Int J Rock Mech Min Sci 147:104870

    Article  Google Scholar 

  39. Zhang Y, Shao J, Liu Z, Shi C, De Saxcé G (2018) Effects of confining pressure and loading path on deformation and strength of cohesive granular materials: a three-dimensional dem analysis. Acta Geotech 14:443–460

    Article  Google Scholar 

  40. Zhang Y, Shao J, de Saxcé G, Shi C, Liu Z (2019) Study of deformation and failure in an anisotropic rock with a three-dimensional discrete element model. Int J Rock Mech Min Sci 120:17–28

    Article  Google Scholar 

  41. Zhao LY, Shao JF, Zhu QZ (2018) Analysis of localized cracking in quasi-brittle materials with a micro-mechanics based friction-damage approach. J Mech Phys Solids 119:163–187

    Article  MathSciNet  Google Scholar 

  42. Zhou J, Luqing Z, Zhejun P, Zhenhua H (2016) Numerical investigation of fluid-driven near-borehole fracture propagation in laminated reservoir rock using pfc2d. J Nat Gas Sci Eng 36:719–733

    Article  Google Scholar 

  43. Zhu QZ, Kondo D, Shao JF (2008) Micromechanical analysis of coupling between anisotropic damage and friction in quasi brittle materials: role of the homogenization scheme. Int J Solids Struct 45:1385–1405

    Article  MATH  Google Scholar 

  44. Zisser N, Nover G (2009) Anisotropy of permeability and complex resistivity of tight sandstones subjected to hydrostatic pressure. J Appl Geophys 68:356–370

    Article  Google Scholar 

  45. Zoback M, Rummel F, Jung R, Raleigh CB (1977) Laboratory hydraulic fracturing experiments in intact and pre-fractured rock. Int J Rock Mech Min Sci Geomech Abstr 14:49–58

    Article  Google Scholar 

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Acknowledgments

This study has been jointly supported by the State Key RD Program of China (Grant No. 2017YFC1501100), China Postdoctoral Science Foundation (Grant No. 2019TQ0080, Grant No. 2020M671320), and the Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines (Grant No. DM2019K02).

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Correspondence to Jianfu Shao.

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Zhang, Y., Shao, J., Zhu, S. et al. Effect of rock anisotropy on initiation and propagation of fractures due to fluid pressurization. Acta Geotech. 18, 2039–2058 (2023). https://doi.org/10.1007/s11440-022-01703-5

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  • DOI: https://doi.org/10.1007/s11440-022-01703-5

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