[1]. Adachi J, Siebrits E, Peirce A, Desroches J. (2007). Computer simulation of hydraulic fractures. Int J Rock Mech Min Sci. 44(5): 739–757.
[2]. He Q, Suorineni FT, Oh J. (2016). Review of hydraulic fracturing for preconditioning in cave mining. Rock Mech Rock Eng. 49(12):4893–4910.
[3]. Nadimi S, Miscovic I, McLennan J. (2016). A 3D peridynamic simulation of hydraulic fracture process in a heterogeneous medium. J Petrol Sci Eng. 145:444–452.
[4]. Carter BJ, Desroches J, Ingrafea AR, Wawrzynek P. (2000). Simulating fully 3D hydraulic fracturing. John Wiley and Sons, New York, pp. 525–557.
[5]. Davies RJ, Mathias SA, Moss J, and Hustoft S, Newport L. (2012). Hydraulic fractures: How far can they go? Marine Petroleum Geol. 37(1): 1–6.
[6]. Kim K, Rutqvist J, Nakagawa S, Birkholzer J. (2017). TOUGH-RBSN simulator for hydraulic fracture propagation within fractured media: Model validations against laboratory experiments. Compute Geosci. 108:72–85.
[7]. Bakhshi E, Golsanami N, Chen L. (2020). Numerical modeling and lattice method for characterizing hydraulic fracture propagation: A review of the numerical, experimental, and field studies. Archives Compute Methods Eng.
[8]. Hattori G, Trevelyan J, Augarde CE, Coombs WM, Aplin AC. (2016). Numerical simulation of fracking in shale rocks: current state and future approaches. Archives Comput Methods Eng. 24(2):281–317.
[9]. Li Q, Xing H, Liu J, Liu X. (2015). A review on hydraulic fracturing of unconventional reservoir. Petroleum. 1(1):8–15.
[10]. Zeng Q, Liu Z, Wang T, Gao Y, Zhuang Z. (2018). Fully coupled simulation of multiple hydraulic fractures to propagate simultaneously from a perforated horizontal wellbore. Comput Mech. 61(1):137–155.
[11]. Zhao HJ, Ma FS, Guo J. (2020). Investigation of hydraulic fracturing mechanism by using a coupled continuous-discontinuous hydromechanical model. IOP Conf Series Earth Environ Sci. 570:042042.
[12]. Eshiet KI, Sheng Y, Ye J. (2013). Microscopic modelling of the hydraulic fracturing process. Environ Earth Sci. 68(4):1169–1186.
[13]. 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.
[14]. Hofmann H, Babadagli T, Yoon JS, Blöcher G, Zimmermann G. (2016). A hybrid discrete/finite element modeling study of complex hydraulic fracture development for enhanced geothermal systems (EGS) in granitic basements. Geothermics. 64:362–381.
[15]. 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(5):712–727.
[18]. Abdollahipour A, Fatehi Marji M, Yarahmadi Bafghi A ,Gholamnejad J. (2016). Numerical investigation of effect of crack geometrical parameters on hydraulic fracturing process of hydrocarbon reservoirs. Journal of Mining and Environment.7 (2): 205-214
[19]. Mohammad Fatehi Marji, Lak M, Sanei M. (2023). The explosive fracturing technique analysis for highly low permeable reservoirs using analytical, displacement discontinuity and finite difference coupled method.
[20]. Dusseault MB, Santarelli FJ A. (1989). Conceptual model for massive solids production in poorly-consolidated sandstones. Rock at great depth. 2(1): 789–797.
[21]. Fjaer E, Holt RM, Horsrud P, Raaen AM, Risnes R. (1992). Petroleum related rock mechanics. Amsterdam.
[22]. A. Hauwa Christiana, A. (2015). Sand control using geomechanical techniques: A case study of Niger delta, Nigeria, Journal of science inventions today. 5(1)439-450.
[23]. Bianco LC. (1999). Phenomena of sand production in non-consolidated sandstones, PhD thesis. Penn State University, University Park Penn.
[24]. Sanei M, Durán O, Devloo PRB, Santos ESR. (2021). Analysis of pore collapse and shear-enhanced compaction in hydrocarbon reservoirs using coupled poro elastoplasticity and permeability. Arab J Geosci. 14(7).
[25]. Abdollahipour A, Kargar A, Fatehi Marji M. (2023). Numerical modeling of the effect of Anderson's stress regimes on the volume of sand production in oil wellbores. Journal of Analytical and Numerical Methods in Mining Engineering. 13(35): 31-38.
[27]. Yazdani M, Fatehi Marji M, Najafi M, Sanei M. (2023). Discrete elements analysis of sand production mechanism in oil well considering effects of in situ stress and fluid pressure. Journal of Mining and Environment.
[28]. Lecampion B, Bunger A, Zhang X. (2018). Numerical methods for hydraulic fracture propagation: a review of recent trends. J Nat Gas Sci Eng. 49:66–83.
[29]. Chen B, Barron AR, Owen D, Li C. (2018). Propagation of a plane strain hydraulic fracture with a fluid lag in permeable rock. J Appl Mech. 85(9):091003–091010.
[30]. Garagash DI, Detournay E. (2005). Plane-strain propagation of a fluid-driven fracture: small toughness solution. J Appl Mech. 72(6):916–928.
[31]. Lecampion B. (2009). An extended finite element method for hydraulic fracture problems. Commun Numer Methods Eng. 25(2):121–133.
[32]. Biot MA. (1941). General theory of three-dimensional consolidation. J Appl Phys.12 (2):155–164.
[33]. Gupta P, Duarte CA. (2014). Simulation of non-planar three-dimensional hydraulic fracture propagation. Int J Numer Anal Methods Geomech. 38(13):1397–1430.
[34]. Deb P, Salimzadeh S, Vogler D, Dueber S, Clauser C, Settgast RR. (2021). Verifcation of coupled hydraulic fracturing simulators using laboratory-scale experiments. Rock Mech Rock Eng.
[35]. Zhang X, Jefrey RG, Thiercelin M. (2009). Mechanics of fluid-driven fracture growth in naturally fractured reservoirs with simple network geometries. Journal of Geophysical Research. 114(B12).
[36]. Paluszny A, Thomas RN, Saceanu MC, Zimmerman RW. (2020). Hydro-mechanical interaction effects and channeling in three dimensional fracture networks undergoing growth and nucleation. J Rock Mech Geomech Eng. 12(4):707719.
[37]. Secchi S, Schrefer BA. (2012). A method for 3-d hydraulic fracturing simulation. Int J Fracture. 178(1–2): 245–258.
[38]. Lecampion B, Bunger A, Zhang X. (2018). Numerical methods for hydraulic fracture propagation: a review of recent trends. J Nat Gas Sci Eng. 49:66–83.
[39]. Zia H, Lecampion B. (2020). Pyfrac: A planar 3D hydraulic fracture simulator. Comput Phys Commun. 255:107368.
[40]. Sarris E, Papanastasiou P. (2011). The influence of the cohesive process zone in hydraulic fracturing modelling. Int J Fracture. 167(1):33–45.
[41]. Rahman MK, Hossain MM, Rahman SS. (2000). An analytical method for mixed-mode propagation of pressurized fractures in remotely compressed rocks. Int J Fracture. 103(3):243–258.
[42]. Dugdale DS. (1960). Yielding of steel sheets containing slits. J Mech Phys Solids. 8(2):100–104.
[43]. Barenblatt GI. (1962). the mathematical theory of equilibrium cracks in brittle fracture. 7:55–129.
[44]. Li LC, Tang CA, Li G, Wang SY, Liang ZZ, Zhang YB. (2012). Numerical simulation of 3D hydraulic fracturing based on an improved flow-stress-damage model and a parallel fem technique. Rock Mech Rock Eng.
[45]. Yuonessi A, V. B. (2013). Sand production simulation under true-triaxial stress conditions. International Journal of Rock Mechanics and mining Science.61: 130-140.
[46]. Fjaer .E, Holt RM, Horsrud P, Raaen AM, Risnes R. (1992). Petroleum related rock mechanics. Amsterdam.
[47]. Cundall P. (1971). A computer model for simulating progressive large scale movements in blocky rock systems. In: Symposium of International Society of Rock Mechanics, II-8
[48]. 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.
[49]. Al-Busaidi A, Hazzard JF, Young RP. (2005). Distinct element modeling of hydraulically fractured lac du bonnet granite. J Geophysics Res.
[50]. Wang T, Liu Z, GAO Y, Zeng Q, Zhuang Z. (2017). Theoretical and numerical models to predict fracking debonding zone and optimize perforation cluster spacing in layered shale. J Appl Mech .85(1):011001.
[51]. Qu T, Feng Y, Wang M, Jiang S. (2020). Calibration of parallel bond parameters in bonded particle models via physics-informed adaptive moment optimisation. Powder Techno. 366: 527–536.
[52]. Rahmati H, A. N. (2011). Validation of predicted cumulative sand and sand rate against physical-model test. Journal of Canadian Petroleum Technology. 51(5): 403–410.
[53]. C. yufi, A. E. (2016). A new approach to dem simulation of sand production. Journal of Petroleum Science and Engineering. 147: 56-67.
[54]. Natalia Climent Pera. (2016). A Coupled CFD-DEM Model for Sand Production in Oil Wells. Ph.D. thesis, Barcelona, September 2016.