[1] A. Singh, K. S. Rao, and R. Ayothiraman, “An analytical solution to wellbore stability using Mogi-Coulomb failure criterion,” J. Rock Mech. Geotech. Eng., vol. 11, no. 6, 2019, doi: 10.1016/j.jrmge.2019.03.004.
[2] P. A. Charlez and P. Breant, “Multiple role of unconventional drilling technologies. From well design to well productivity,” SPE - Eur. Form. Damage Control Conf. Proc., 1999, doi: 10.2523/56405-ms.
[3] I. Tantawi, R. Taylor, and R. Russell, “The successful redevelopment of existing wells using multilateral drilling techniques,” in Society of Petroleum Engineers - Abu Dhabi International Petroleum Exhibition and Conference 1998, ADIPEC 1998, 1998. doi: 10.2118/49477-ms.
[4] M. Salarian, A. Mirzaghorbanali, H. Ghasemzadeh, and S. Sadeghian, “Well Bore Stability Using a New Dynamic Model,” Pet. Sci. Technol., vol. 30, no. 19, pp. 2066–2075, Jul. 2012, doi: 10.1080/10916466.2010.512891.
[5] A. Mirzaghorbanali, N. Fathianpour, H. Ghasemzadeh, and M. Salarian, “A New Approach in Casing Collapse Design Using the Geomechanical Model and Heaviest Drilling Fluid,” Pet. Sci. Technol., vol. 29, no. 18, pp. 1948–1962, Jul. 2011, doi: 10.1080/10916461003663024.
[6] M. Frydman and S. A. B. da Fontoura, “Applications of a coupled chemical-hydro-mechanical model to wellbore stability in shales,” 2000.
[7] E. Kaarstad and B. Aadnoy, “Optimization of Borehole Stability Using 3D Stress Optimization,” in Proceedings of SPE Annual Technical Conference and Exhibition, Society of Petroleum Engineers, Oct. 2005. doi: 10.2523/97149-MS.
[8] C. D. Hawkes, “Assessing the mechanical stability of horizontal boreholes in coal,” Can. Geotech. J., vol. 44, no. 7, pp. 797–813, Jul. 2007, doi: 10.1139/t07-021.
[9] B. Pašić, N. Gaurina-Medimurec, and D. Matanović, “Wellbore instability: Causes and consequences,” Rud. Geol. Naft. Zb., vol. 19, 2007.
[10] K. Ahmed, K. Khan, and M. A. Mohamad-Hussein, “Prediction of Wellbore Stability Using 3D Finite Element Model in a Shallow Unconsolidated Heavy-Oil Sand in a Kuwait Field,” in All Days, SPE, Mar. 2009. doi: 10.2118/120219-MS.
[11] Y. Zhang, A. Long, Y. Zhao, A. Zang, and C. Wang, “Mutual impact of true triaxial stress, borehole orientation and bedding inclination on laboratory hydraulic fracturing of Lushan shale,” J. Rock Mech. Geotech. Eng., vol. 15, no. 12, 2023, doi: 10.1016/j.jrmge.2023.02.015.
[12] B. S. Aadnoy and C. Edland, “Borehole stability of multilateral junctions,” J. Pet. Sci. Eng., vol. 30, no. 3–4, 2001, doi: 10.1016/S0920-4105(01)00137-1.
[13] R. Brister, “Screening Variables for Multilateral Technology,” in Proceedings of the International Oil and Gas Conference and Exhibition in China, IOGCEC, 2000. doi: 10.2118/64698-ms.
[14] H. Xu, J. Cao, L. Dong, and C. Yan, “Study on Wellbore Stability of Multilateral Wells under Seepage-Stress Coupling Condition Based on Finite Element Simulation,” 2023. doi: 10.3390/pr11061651.
[15] H. Bargui and Y. Abousleiman, “2D and 3D elastic and poroelastic stress analyses for multilateral wellbore junctions,” in 4th North American Rock Mechanics Symposium, NARMS 2000, 2000.
[16] A. L. Manríquez, A. L. Podio, and K. Sepehrnoori, “Modeling of stability of junctions in multilateral wells using finite element,” in 42nd U.S. Rock Mechanics - 2nd U.S.-Canada Rock Mechanics Symposium, 2008.
[17] B. Plischke, N. Kågeson-Loe, O. Havmøller, H. F. Christensen, and M. G. Stage, “Analysis of MLW open hole junction stability,” in Gulf Rocks 2004 - 6th North America Rock Mechanics Symposium, NARMS 2004, 2004.
[18] E. Detournay and A. H. D. Cheng, “Poroelastic response of a borehole in a non-hydrostatic stress field,” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., vol. 25, no. 3, pp. 171–182, Jun. 1988, doi: 10.1016/0148-9062(88)92299-1.
[19] L. Cui, A. H. D. Cheng, and Y. Abousleiman, “Poroelastic solution for an inclined borehole,” J. Appl. Mech. Trans. ASME, vol. 64, no. 1, 1997, doi: 10.1115/1.2787291.
[20] Y. Abousleiman and L. Cui, “Poroelastic solutions in transversely isotropic media for wellbore and cylinder,” Int. J. Solids Struct., vol. 35, no. 34–35, pp. 4905–4929, Dec. 1998, doi: 10.1016/S0020-7683(98)00101-2.
[21] A. M. Al-Ajmi and R. W. Zimmerman, “Stability analysis of vertical boreholes using the Mogi–Coulomb failure criterion,” Int. J. Rock Mech. Min. Sci., vol. 43, no. 8, pp. 1200–1211, Dec. 2006, doi: 10.1016/J.IJRMMS.2006.04.001.
[22] N. Tang-Tat, “Particle shape effect on macro- and micro-behaviors of monodisperse ellipsoids,” Int. J. Numer. Anal. Methods Geomech., vol. 33, no. 4, 2009, doi: 10.1002/nag.732.
[23] M. R. Zare-Reisabadi, A. Kaffash, and S. R. Shadizadeh, “Determination of optimal well trajectory during drilling and production based on borehole stability,” Int. J. Rock Mech. Min. Sci., vol. 56, pp. 77–87, Dec. 2012, doi: 10.1016/J.IJRMMS.2012.07.018.
[24] W. Zhang, J. Gao, K. Lan, X. Liu, G. Feng, and Q. Ma, “Analysis of borehole collapse and fracture initiation positions and drilling trajectory optimization,” J. Pet. Sci. Eng., vol. 129, pp. 29–39, May 2015, doi: 10.1016/J.PETROL.2014.08.021.
[25] B. Das and R. Chatterjee, “Wellbore stability analysis and prediction of minimum mud weight for few wells in Krishna-Godavari Basin, India,” Int. J. Rock Mech. Min. Sci., vol. 93, pp. 30–37, Mar. 2017, doi: 10.1016/J.IJRMMS.2016.12.018.
[26] E. Detournay, “Elastoplastic model of a deep tunnel for a rock with variable dilatancy,” Rock Mech. Rock Eng., vol. 19, no. 2, 1986, doi: 10.1007/BF01042527.
[27] M. E. D. Fama, “Numerical Modeling of Yield Zones in Weak Rock,” Compr. rock Eng. Vol. 2, pp. 49–75, Jan. 1993, doi: 10.1016/B978-0-08-040615-2.50009-5.
[28] X.-D. Pan and E. T. Brown, “Influence of Axial Stress and Dilatancy on Rock Tunnel Stability,” J. Geotech. Eng., vol. 122, no. 2, 1996, doi: 10.1061/(asce)0733-9410(1996)122:2(139).
[29] C. Carranza-Torres, “Dimensionless graphical representation of the exact elastoplastic solution of a circular tunnel in a Mohr-Coulomb material subject to uniform far-field stresses,” Rock Mech. Rock Eng., vol. 36, no. 3, 2003, doi: 10.1007/s00603-002-0048-7.
[30] K. Mogi, “Effect of the triaxial stress system on the failure of dolomite and limestone,” Tectonophysics, vol. 11, no. 2, pp. 111–127, Feb. 1971, doi: 10.1016/0040-1951(71)90059-X.
[31] C. Chang and B. Haimson, “True triaxial strength and deformability of the German Continental Deep Drilling Program (KTB) deep hole amphibolite,” J. Geophys. Res. Solid Earth, vol. 105, no. B8, 2000, doi: 10.1029/2000jb900184.
[32] B. Haimson and C. Chang, “A new true triaxial cell for testing mechanical properties of rock, and its use to determine rock strength and deformability of Westerly granite,” Int. J. Rock Mech. Min. Sci., vol. 37, no. 1–2, pp. 285–296, Jan. 2000, doi: 10.1016/S1365-1609(99)00106-9.
[33] R. P. Tiwari and K. S. Rao, “Post failure behaviour of a rock mass under the influence of triaxial and true triaxial confinement,” Eng. Geol., vol. 84, no. 3–4, pp. 112–129, May 2006, doi: 10.1016/J.ENGGEO.2006.01.001.
[34] R. P. Tiwari and K. S. Rao, “Response of an Anisotropic Rock Mass under Polyaxial Stress State,” J. Mater. Civ. Eng., vol. 19, no. 5, 2007, doi: 10.1061/(asce)0899-1561(2007)19:5(393).
[35] H. Oku, B. Haimson, and S. R. Song, “True triaxial strength and deformability of the siltstone overlying the Chelungpu fault (Chi-Chi earthquake), Taiwan,” Geophys. Res. Lett., vol. 34, no. 9, 2007, doi: 10.1029/2007GL029601.
[36] H. Lee and B. C. Haimson, “True triaxial strength, deformability, and brittle failure of granodiorite from the San Andreas Fault Observatory at Depth,” Int. J. Rock Mech. Min. Sci., vol. 48, no. 7, pp. 1199–1207, Oct. 2011, doi: 10.1016/J.IJRMMS.2011.08.003.
[37] T. Sriapai, C. Walsri, and K. Fuenkajorn, “True-triaxial compressive strength of Maha Sarakham salt,” Int. J. Rock Mech. Min. Sci., vol. 61, pp. 256–265, Jul. 2013, doi: 10.1016/J.IJRMMS.2013.03.010.
[38] X. Ma and B. C. Haimson, “Failure characteristics of two porous sandstones subjected to true triaxial stresses,” J. Geophys. Res. Solid Earth, vol. 121, no. 9, 2016, doi: 10.1002/2016JB012979.
[39] J. F. Labuz and A. Zang, “Mohr-Coulomb failure criterion,” Rock Mech. Rock Eng., vol. 45, no. 6, 2012, doi: 10.1007/s00603-012-0281-7.
[40] Yudhbir, W. Lemanza, and F. Prinzl, “An empirical failure criterion for rock masses.,” Proc. 5th Congr. Int. Soc. Rock Mech. Melbourne, 1983. Vol.1, 1983.
[41] M. H. Yu, Y. W. Zan, J. Zhao, and M. Yoshimine, “A Unified Strength criterion for rock material,” Int. J. Rock Mech. Min. Sci., vol. 39, no. 8, pp. 975–989, Dec. 2002, doi: 10.1016/S1365-1609(02)00097-7.
[42] B. C. Haimson, “The hydrofracturing stress measuring method and recent field results,” Int. J. Rock Mech. Min. Sci. Geomech. Abstr., vol. 15, no. 4, pp. 167–178, Aug. 1978, doi: 10.1016/0148-9062(78)91223-8.
[43] E. Kabwe, “Confining stress effect on the elastoplastic ground reaction considering the Lode angle dependence,” Int. J. Min. Sci. Technol., vol. 30, no. 3, pp. 431–440, May 2020, doi: 10.1016/J.IJMST.2020.04.002.
[44] X. T. Feng, X. Zhang, R. Kong, and G. Wang, “A Novel Mogi Type True Triaxial Testing Apparatus and Its Use to Obtain Complete Stress–Strain Curves of Hard Rocks,” Rock Mech. Rock Eng., vol. 49, no. 5, 2016, doi: 10.1007/s00603-015-0875-y.
[45] K. Mogi, “Fracture and flow of rocks under high triaxial compression,” J. Geophys. Res., vol. 76, no. 5, pp. 1255–1269, Feb. 1971, doi: 10.1029/JB076i005p01255.
[46] K. Mogi, Experimental Rock Mechanics. 2006. doi: 10.1201/9780203964446.
[47] C. Chang and B. Haimson, “A failure criterion for rocks based on true triaxial testing,” Rock Mech. Rock Eng., vol. 45, no. 6, 2012, doi: 10.1007/s00603-012-0280-8.
[48] R. K. Verma and S. Chandra, “Polyaxial strength criterion and closed-form solution for squeezing rock conditions,” J. Rock Mech. Geotech. Eng., vol. 12, no. 3, pp. 507–515, Jun. 2020, doi: 10.1016/J.JRMGE.2019.06.011.
[49] D. Scussel and S. Chandra, “A new approach to obtain tunnel support pressure for polyaxial state of stress,” Tunn. Undergr. Sp. Technol., vol. 36, pp. 80–88, Jun. 2013, doi: 10.1016/J.TUST.2013.01.006.
[50] S. Priest, “Three-dimensional failure criteria based on the hoek-brown criterion,” Rock Mech. Rock Eng., vol. 45, no. 6, 2012, doi: 10.1007/s00603-012-0277-3.
[51] M. Singh and B. Singh, “Modified Mohr–Coulomb criterion for non-linear triaxial and polyaxial strength of jointed rocks,” Int. J. Rock Mech. Min. Sci., vol. 51, pp. 43–52, Apr. 2012, doi: 10.1016/J.IJRMMS.2011.12.007.
[52] M. Singh, A. Raj, and B. Singh, “Modified Mohr–Coulomb criterion for non-linear triaxial and polyaxial strength of intact rocks,” Int. J. Rock Mech. Min. Sci., vol. 48, no. 4, pp. 546–555, Jun. 2011, doi: 10.1016/J.IJRMMS.2011.02.004.
[53] H. Jiang, X. Wang, and Y. Xie, “New strength criteria for rocks under polyaxial compression,” Can. Geotech. J., vol. 48, no. 8, 2011, doi: 10.1139/t11-034.
[54] H. Rafiai, “New empirical polyaxial criterion for rock strength,” Int. J. Rock Mech. Min. Sci., vol. 48, no. 6, pp. 922–931, Sep. 2011, doi: 10.1016/J.IJRMMS.2011.06.014.
[55] Q. Zhang, H. Zhu, and L. Zhang, “Modification of a generalized three-dimensional Hoek–Brown strength criterion,” Int. J. Rock Mech. Min. Sci., vol. 59, pp. 80–96, Apr. 2013, doi: 10.1016/j.ijrmms.2012.12.009.
[56] A. M. Al-Ajmi and R. W. Zimmerman, “Relation between the Mogi and the Coulomb failure criteria,” Int. J. Rock Mech. Min. Sci., vol. 42, no. 3, pp. 431–439, Apr. 2005, doi: 10.1016/j.ijrmms.2004.11.004.
[57] L. B. Colmenares and M. D. Zoback, “A statistical evaluation of intact rock failure criteria constrained by polyaxial test data for five different rocks,” Int. J. Rock Mech. Min. Sci., vol. 39, no. 6, pp. 695–729, Sep. 2002, doi: 10.1016/S1365-1609(02)00048-5.
[58] T. Benz and R. Schwab, “A quantitative comparison of six rock failure criteria,” Int. J. Rock Mech. Min. Sci., vol. 45, no. 7, pp. 1176–1186, Oct. 2008, doi: 10.1016/J.IJRMMS.2008.01.007.
[59] S. Rukhaiyar and N. K. Samadhiya, “Strength behaviour of sandstone subjected to polyaxial state of stress,” Int. J. Min. Sci. Technol., vol. 27, no. 6, pp. 889–897, Nov. 2017, doi: 10.1016/J.IJMST.2017.06.022.
[60] L. e S. M Kanji, M He, Soft Rock Mechanics and Engineering. Springer, 2020. doi: 10.1007/978-3-030-29477-9.
[61] D. M. Potts and L. Zdravković, Finite Element Analysis in Geotechnical Engineering: Volume two - Application. 2001. doi: 10.1680/feaigea.27831.
[62] A. L. Muller, E. do Amaral Vargas, L. E. Vaz, and C. J. Gonçalves, “Borehole stability analysis considering spatial variability and poroelastoplasticity,” Int. J. Rock Mech. Min. Sci., vol. 46, no. 1, pp. 90–96, Jan. 2009, doi: 10.1016/J.IJRMMS.2008.05.001.
[63] M. Kwaśniewski, “Recent advances in studies of the strength of rocks under true triaxial compression conditions,” Arch. Min. Sci., vol. 58, no. 4, 2013, doi: 10.2478/amsc-2013-0080.
[64] S.A. Ghoreishian Amiri, S.A. Sadrnejad, H. Ghasemzadeh, " A hybrid numerical model for multiphase fluid flow in a deformable porous medium," Applied Mathematical Modelling, Volume 45, Pages 881-899, ISSN 0307-904X, https://doi.org/10.1016/j.apm.2017.01.042.
[65] H. Ghasemzadeh, "Heat and contaminant transport in unsaturated soil," International Journal of Civil Engineering. Vol. 6, No. 2, June 2008.
[66] H. Ghasemzadeh, S.A. Ghoreishian Amiri, "A hydro-mechanical elastoplastic model for unsaturated soils under isotropic loading conditions," Computers and Geotechnics, Volume 51, 2013, Pages 91-100, ISSN 0266-352X, https://doi.org/10.1016/j.compgeo.2013.02.006.