[1] Rutledge J, Phillips W, Mayerhofer M. Faulting induced by forced fluid injection and fluid flow forced by faulting: An interpretation of hydraulic-fracture microseismicity, Carthage Cotton Valley gas field, Texas. Bulletin of the Seismological Society of America. 2004;94(5):1817-30.
[2] نادری م, وجدی م, صادق مغانلو ف. آنالیز حساسیت پارامترهای موثر بر عملکرد چرخه رانکین آلی با منبع انرژی خورشیدی و زمین گرمایی به روش تاگوچی. مهندسی مکانیک دانشگاه تبریز. 1403، د. 54، ش. 2، ص. 31-40.
[3] Economides MJ, Nolte KG, Ahmed U. Reservoir stimulation: Wiley Chichester; 2000.
[4] Lecampion B, Desroches J. Simultaneous initiation and growth of multiple radial hydraulic fractures from a horizontal wellbore. Journal of the Mechanics and Physics of Solids. 2015.
[5] Asgari A. Extended power series solution for Perkins-Kern-Nordgren model of hydraulic fracture. AUT Journal of Civil Engineering. 2022;6(4):461-8.
[6] عسگری ع, گلشنی ع. مقایسهی انتشار ترکهای هیدرولیکی دوبعدی کرنش صفحهای و شعاعی در مقیاس گرانروی با رویکرد تحلیلی. هیدروژئولوژی. 1402، د. 8، ش. 2، ص. 94-114.
[7] Bunger A. Analysis of the power input needed to propagate multiple hydraulic fractures. International Journal of Solids and Structures. 2013;50(10):1538-49.
[8] Peirce A, Bunger A. Interference Fracturing: Nonuniform Distributions of Perforation Clusters That Promote Simultaneous Growth of Multiple Hydraulic Fractures. SPE Journal. 2015;20(02):384-95.
[9] Sneddon I, editor The distribution of stress in the neighbourhood of a crack in an elastic solid. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences; 1946: The Royal Society.
[10] Bunger A, Jeffrey RG, Zhang X. Constraints on simultaneous growth of hydraulic fractures from multiple perforation clusters in horizontal wells. SPE Journal. 2014, a;19(04):608-20.
[11] Bunger AP, Menand T, Cruden A, Zhang X, Halls H. Analytical predictions for a natural spacing within dyke swarms. Earth and Planetary Science Letters. 2013;375:270-9.
[12] Desroches J, Lecampion B, Ramakrishnan H, Prioul R, Brown E, editors. Benefits of controlled hydraulic fracture placement: theory and field experiment. SPE Canada Unconventional Resources Conference?; 2014: SPE.
[13] Barenblatt GI. The mathematical theory of equilibrium cracks in brittle fracture. Advances in applied mechanics. 1962;7:55-129.
[14] Nordgren R. Propagation of a vertical hydraulic fracture. Society of Petroleum Engineers Journal. 1972;12(04):306-14.
[15] Keating R, Sinclair G. On the fundamental energy argument of elastic fracture mechanics. International journal of fracture. 1986;74(1):43-61.
[16] اسفندیاری خسروشاهی ع, دادوند ع, مانمی ک. شبیهسازی عددی پمپاژ مایعات لزج با استفاده از نوسان یک حباب کاویتاسیون. مهندسی مکانیک دانشگاه تبریز. 1403، د. 54، ش. 3، ص. 1-10.
[17] Irwin G. Relation of stresses near a crack to the crack extension force. 9th Cong App Mech, Brussels. 1957.
[18] Detournay E, editor Fluid and solid singularities at the tip of a fluid-driven fracture. IUTAM Symposium on Non-Linear Singularities in Deformation and Flow; 1999: Springer.
[19] Landau L, Lifshitz E. Fluid mechanics, volume 6,: second ed. Butterworth-Heinemann, Oxford, UK; 1987. 227-9 p.
[20] Batchelor G. An Introduction to Fluid Dynamics Cambridge Univ. Press, Bentley House, London. 1967.
[21] Romero J, Mack M, Elbel J, editors. Theoretical model and numerical investigation of near-wellbore effects in hydraulic fracturing. SPE annual technical conference and exhibition; 1995: Society of Petroleum Engineers.
[22] Crump J, Conway M. Effects of perforation-entry friction on bottomhole treating analysis. Journal of Petroleum Technology. 1988;40(08):1,041-1,8.
[23] Economides MJ, Nolte KG, Ahmed U, Schlumberger D. Reservoir stimulation: Wiley Chichester; 2000.
[24] Aud W, Wright T, Cipolla C, Harkrider J, editors. The effect of viscosity on near-wellbore tortuosity and premature screenouts. SPE annual technical conference and exhibition; 1994: Society of Petroleum Engineers.
[25] Abass HH, Brumley JL, Venditto JJ, editors. Oriented perforations-a rock mechanics view. SPE annual technical conference and exhibition; 1994: Society of Petroleum Engineers.
[26] Detournay E. Propagation regimes of fluid-driven fractures in impermeable rocks. International Journal of Geomechanics. 2004;4:35.
[27] Williams M. On the stress distribution at the base of a stationary crack. Journal of Applied Mechanics. 1957;24(1):109-14.
[28] Smith D, Ayatollahi M, Pavier M, editors. On the consequences of T-stress in elastic brittle fracture. Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences; 2006: The Royal Society.
[29] Viola E, Piva A. Crack paths in sheets of brittle material. Engineering fracture mechanics. 1984;19(6):1069-84.