Baghbanan, A. and Jing, L. (2007) ‘Hydraulic properties of fractured rock masses with correlated fracture length and aperture’, International Journal of Rock Mechanics and Mining Sciences. Elsevier, 44(5), pp. 704–719. doi: 10.1016/j.ijrmms.2006.11.001.
Basirat,R. Goshtasbi, K. and Ahmadi, M. (2019) ‘Discrete Element Simulation of Interaction between Hydraulic Fracturing and a Single Natural Fracture’, Fluids, 4, 76; doi:10.3390/fluids4020076
Bhide, R. J. et al. (2012) ‘Modeling hydraulic fracture propagation in low permeability reservoirs’, in 46th US Rock Mechanics/Geomechanics Symposium. American Rock Mechanics Association.
Chen, B. et al. (2021) A Review of Hydraulic Fracturing Simulation, Archives of Computational Methods in Engineering. .doi: 10.1007/s11831-021-09653-z
Clark, J. B. et al. (1949) ‘A hydraulic process for increasing the productivity of wells’, Journal of Petroleum Technology. Society of Petroleum Engineers, 1(01), pp. 1–8. doi: https://doi.org/10.2118/949001-G.
Donze, F. V. et al. (2016) ‘Discrete Element Modeling of the Role of In Situ Stress on the Interactions Between Hydraulic and Natural Fractures BT - New Frontiers in Oil and Gas Exploration’, in Jin, C. and Cusatis, G. (eds) New Frontiers in Oil and Gas Exploration. pp. 113–136. doi: 10.1007/978-3-319-40124-9_3.
Fjar, E. et al. (2021) Petroleum related rock mechanics. 3rd edition. Elsevier.
Gu, H. et al. (2011) ‘Hydraulic Fracture Crossing Natural Fracture at Non-Orthogonal Angles, a Criterion, Its Validation and Applications. SPE Hydraulic Fracturing Technology Conference, Texas, 24–26 January’, Soc. of Pet. Eng., doi: https://doi.org/10.2118/139984-PA.
Hu, Y. et al. (2021) ‘Numerical modeling of complex hydraulic fracture networks based on the discontinuous deformation analysis (DDA) method’, Energy Exploration & Exploitation, 39(5) 1640–1665. doi: 10.1177/0144598720981532
Hubbert, M. K. and Willis, D. G. (1954) ‘Mechanics Of Hydraulic Fracturing’, Transaction of the AIME. Society of Petroleum Engineers. doi:
https://doi.org/10.2118/686-G.
Jeffrey, R. G., Vandamme, L. and Roegiers, J.-C. (1987) ‘Mechanical Interactions in Branched or Subparallel Hydraulic Fractures’. Society of Petroleum Engineers, (1). doi: https://doi.org/10.2118/16422-MS.
Jing, L. and Stephansson, O. (2007) ‘Discrete Fracture Network (DFN) Method’, Developments in Geotechnical Engineering, 85, pp. 365–398. doi: http://dx.doi.org/10.1016/S0165-1250(07)85010-3.
Katsaga, T., Riahi, A. and Damjanac, B. (2015) ‘Three-Dimensional Investigation of Hydraulic Treatment in Naturally Fractured Reservoirs’, pp. 1–10.
Keshavarzi, R., Club, Y. R. and Mohammadi, S. (2012) ‘A new approach for numerical modeling of hydraulic fracture propagation in naturally fractured reservoirs’, in SPE/EAGE European Unconventional Resources Conference & Exhibition-From Potential to Production. doi: https://doi.org/10.2118/152509-MS.
Leung, C. T. O. and Zimmerman, R. W. (2012) ‘Estimating the hydraulic conductivity of two-dimensional fracture networks using network geometric properties’, Transport in porous media. Springer, 93(3), pp. 777–797. doi: 10.1007/s11242-012-9982-3.
Li, Y. (2020) ‘Simulation of the interactions between multiple hydraulic fractures and natural fracture network based on Discrete Element Method numerical modeling’, Energy Sci Eng. 8:2922–2937. doi: 10.1002/ese3.712
McClure, M. W. and Horne, R. N. (2013) Discrete fracture network modeling of hydraulic stimulation: Coupling flow and geomechanics. 1st edn. Springer International Publishing. doi: 10.1007/978-3-319-00383-2.
Montgomery, C. T. et al. (2010) ‘Hydraulic fracturing: history of an enduring technology’, Journal of Petroleum Technology. Society of Petroleum Engineers, 62(12), pp. 26–40. doi: https://doi.org/10.2118/1210-0026-JPT.
Nolen-hoeksema, R. (2013) ‘Defining Hydraulic Fracturing: Elements of Hydraulic Fracturing’, Oilfield Review Schlumberger, (2), pp. 51–52.
Pater, C. J. and Beugelsdijk, L. J. L. (2005) ‘Experiments and numerical simulation of hydraulic fracturing in naturally fractured rock’. American Rock Mechanics Association.
Pirhooshyaran, M, R. Nikkhah,. M (2021) ‘Hydraulic fracture patterns in fractured rock mass using coupled hydromechanical modeling in the bonded particle model’, Modeling Earth Systems and Environmen, 10.1007/s40808-021-01218-0
Riahi, A. and Damjanac, B. (2013) ‘Numerical study of hydro-shearing in geothermal reservoirs with a pre-existing discrete fracture network’, in Proceedings of the 38th Workshop on Geothermal Reservoir Engineering, Stanford, CA, pp. 11–13.
Taleghani, A. D. (2009) Analysis of hydraulic fracture propagation in fractured reservoirs: an improved model for the interaction between induced and natural fractures. The University of Texas at Austin.
Zhang, X., Jeffrey, R. G. and Thiercelin, M. (2007) ‘Deflection and propagation of fluid-driven fractures at frictional bedding interfaces: a numerical investigation’, Journal of Structural Geology. Elsevier, 29(3), pp. 396–410. doi: 10.1016/j.jsg.2006.09.013.
میرزایی نصیر آباد، حسین ( 1391 ) ‘تهیه برنامه کامپیوتری تولید شبکه شکستگی مجزای توده سنگ درزه دار ’,. کرمان: اولین همایش زمین شناسی فلات ایران.
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