Refrences:
1.Kang, Y., Yu, M., Miska, S.S.Z., Takach, N., et al. Wellbore stability: A critical review and introduction to DEM", SPE Annu. Tech. Conf. Exhib., no. October, pp. 4-7 (2009).
2. Acock, A., ORuarke, T., Shirmboh, D., et al. Practical approaches to sand management", Oil F. Rev., 16(1), pp. 10-27 (2004).
3. Fjaer, E., Holt, R.M., Raaen, A.M., Risnes, R., and Horsrud, P., Petroleum Related Rock Mechanics, 53, Elsevier (2008). 4. Risnes, R., Bratli, R.K., Horsrud, P., et al. Sand stresses around a wellbore", Soc. Pet. Eng. J., 22(6), pp. 883-898 (1982). 5. Agheshlui, H. and Matthai, S.K. The impact of layering and heterogeneity on stresses around boreholes", in ECMOR XIV-15th European Conference on the Mathematics of Oil Recovery (2016). 6. Ong, S., Atlas, B., Ramos, R., Exploration, A., Technology, P., and Zheng, Z. Sand production prediction in high rate, perforated and open-hole gas wells", Production (2000). 7. Han, G. and Dusseault, M.B. Description of uid ow around a wellbore with stress-dependent porosity and permeability", J. Pet. Sci. Eng., 40(1-2), pp. 1-16 (2003). 8. Chen, G., Jin, Y., Li, L., and Zhou, B. Analysis of vertical well collapse volume in radial porous media ows of a high pressure gas", In 50th US Rock Mechanics/ Geomechanics Symposium (2016). 9. Hassani, A.H., Veyskarami, M., Al-ajmi, A.M., and Masihi, M. Rock mechanics & mining sciences. A modi_ed method for predicting the stresses around producing boreholes in an isotropic in-situ stress _eld", Int. J. Rock Mech. Min. Sci., 96, October 2016, pp. 85-93 (2017). 10. Li, D. and Engler, T.W. Literature review on correlations of the non-Darcy coe_cient", SPE Permian Basin Oil Gas Recover. Conf., no. 2, pp. 1-8 (2013). http://www.onepetro.org/doi/10.2118/70015-MS. 11. Al-Hussainy, R., Ramey Jr, H.J., Crawford, P.B., et al. The ow of real gases through porous media", J. Pet. Technol., 18(5), pp. 624-636 (1966). 12. Wang, J.G., Kabir, A., Liu, J., and Chen, Z. E_ects of non-Darcy ow on the performance of coal seam gas wells", Int. J. Coal Geol., 93, pp. 62-74 (2012). 13. Miskimins, J.L., Lopez, H.D.J., Barree, R.D., et al. Non-Darcy ow in hydraulic fractures: does it really matter?", in SPE Annual Technical Conference and Exhibition (2005). 14. Detournay, E. and Cheng, A.D. Poroelastic response of a borehole in a non-hydrostatic stress _eld", Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 25(3), pp. 171-182 (1988). 15. Amao, A.M. Mathematical model for Darcy Forchheimer ow with applications to well performance analysis", PhD Thesis, Texas Tech University (2007). A. Tohidi et al./Scientia Iranica, Transactions A: Civil Engineering 26 (2019) 1182{1193 1191 16. Kundu, P., Kumar, V., and Mishra, I.M. Experimental and numerical investigation of uid ow hydrodynamics in porous media: Characterization of Darcy and non-Darcy ow regimes", Powder Technol, 303, pp. 278-291 (2016). 17. Cheng, A.H.-D., Detournay, E., and Abousleiman, Y., Poroelasticity, 27, Springer (2016). 18. Timoshenko, S.P. and Gere, J.M. Theory of elastic stability", Courier Corporation (2009). 19. Bradley, W.B. Failure of inclined boreholes", J. Energy Resour. Technol., 101(4), p. 232 (1979). 20. Fairhurst, C. Methods of determining in-situ rock stresses at great depths: Tech", Rep. TRI-68, Mo. River Div. Corps Eng., Omaha, Nebr (1968). 21. Santarelli, F.J., Brown, E.T., and Maury, V. Analysis of borehole stresses using pressure-dependent, linear elasticity", in International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, 23(6), pp. 445-449 (1986). 22. Li, P., Wang, K., and Lu, D. Analytical solution of plane-strain poroelasticity due to surface loading within a _nite rectangular domain", Int. J. Geomech., 17(4), p. 4016089 (2016). 23. Olson, J.E. and Srinivasan, S. The impact of shale properties on wellbore stability", PhD Thesis (2005). 24. Wang, Z., Peden, J.M., and Damasena, E.S.H., et al. The prediction of operating conditions to constrain sand production from a gas well", in SPE Production Operations Symposium (1991). 25. Ong, S.H., Ramos, G.G., and Zheng, Z. Method of predicting the on-set of formation solid production in high-rate perforated and open hole gas wells", Google Patents (2007). 26. Irmay, S. On the theoretical derivation of Darcy and Forchheimer formulas", Eos, Trans. Am. Geophys. Union, 39(4), pp. 702-707 (1958). 27. Al-Attar, H. and Al-Zuhair, S. A general approach for deliverability calculations of gas wells", J. Pet. Sci. Eng., 67(3-4), pp. 97-104 (2009). 28. Syst_emes, D. Abaqus analysis users manual", Simulia Corp. Provid. RI, USA (2007). 29. Zamanipour, Z., Miska, S.Z., Hariharan, P.R., et al. E_ect of transient surge pressure on stress distribution around directional wellbores", in IADC/SPE Drilling Conference and Exhibition (2016). 30. Heidarian, M., Jalalifar, H., Scha_e, M., Jafari, S., et al. New analytical model for predicting the unstable zone around the borehole", SPE J., 19(6), pp. 1-177 (2014). 31. Al-Shaaibi, S.K., Al-Ajmi, A.M., and Al-Wahaibi, Y. Three dimensional modeling for predicting sand production", J. Pet. Sci. Eng., 109, pp. 348-363 (2013).
)