Abstract
An important step in borehole stability analysis is to estimate a safe and stable mud weight window. A rock failure criterion is required for this purpose. Mud weight windows define the mud program and the number of casing set points thus improving well control and the economy of the drilling project. The aim of this paper is to derive analytical equations for estimating the values of mud pressure corresponding to low and high mud weight shear failures for various modes of stress state using a modified polyaxial Mohr–Coulomb failure criterion. The results are then compared with those of the Mohr–Coulomb and Mogi–Coulomb failure criteria as well as modified 3D Mohr–Coulomb B failure criterion. Also through some case studies, this paper investigates the applicability and efficiency of this failure criterion in predicting values of mud pressure corresponding to shear failure at the borehole walls.
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References
Aadnoy BS (1989) Stresses around horizontal boreholes drilled in sedimentary rocks. J Pet Sci Eng 2:349–360
Aadnoy BS, Ong S (2003) Introduction to special issue on borehole stability. J Pet Sci Eng 38:79–82
Abbasi S, Singh RK, Singh KH, Singh T (2018) Selection of failure criteria for estimation of safe mud weights in a tight gas sand reservoir. Int J Rock Mech Min Sci 107:261–270
Addis T, Last N, Boulter D, Roca-Ramisa L, Plumb (1993) The quest for borehole stability in the Cusiana Field, Colombia. Oilfield Rev 5:33–43
Al-Ajmi A (2006) Wellbore stability analysis based on a new true-triaxial failure criterion. Dissertation, University of KTH
Al-Ajmi A, Zimmerman RW (2006) Stability analysis of vertical boreholes using the Mogi–Coulomb failure criterion. Int J Rock Mech Min Sci 43:1200–1211
Al-Wardy WM, Portillo OE (2010) Geomechanical modelling for wellbore stability during drilling Nahr Umr shales in a field in Petroleum Development Oman. SPE 138214
Bradley W (1979) Mathematical concept-Stress Cloud-can predict borehole failure. Oil Gas J (United States):77
Brady BHG, Brown ET (2007) Rock mechanics: for underground mining. Kluwer Academic Publishers
Ewy R (1999) Wellbore-stability predictions by use of a modified Lade Criterion. SPE Drill & Completion 1064-6671
Fjaer E, Holt RM, Horsrud P, Raeen AM, Risnes R (2008) Petroleum related rock mechanics. Elsevier
Gholami R, Moradzadeh A, Rasouli V, Hanachi J (2014) Practical application of failure criteria in determining safe mud weight windows in drilling operations. J Rock Mech Geotech Eng 6:13–25
Gnirk P (1972) The mechanical behavior of uncased wellbores situated in elastic/plastic media under hydrostatic stress. Old SPE J 12:49–59
Jaeger JC, Cook NGW, Zimmerman R (2007) Fundamentals of rock mechanics. Wiley
Javani D, Aadnoy B, Rastegarnia M, Nadimi S, Aghighi MA, Maleki B (2017) Failure criterion effect on solid production prediction and selection of completion solution. J Rock Mech Geotech Eng 9:1123–1130
Jiang H (2018) Simple three-dimensional Mohr-Coulomb criteria for intact rocks. Int J Rock Mech Min Sci 105:145–159
Kirsch G (1898) Die Theorie der Elastizität und die Bedürfnisse der Festigkeitslehre. Zeit Ver dt Ingenieure 42:797–807
Mclean M, Addis M (1990a) Wellbore stability analysis: a review of current methods of analysis and their field application. SPE/IADC Drill Conf:19941
Mclean M, Addis M (1990b) Wellbore stability: the effect of strength criteria on mud weight recommendations. SPE Ann Tech Conf Exhibition:20405
McLellan P, Hawkes C (1999) Borehole stability analysis for underbalanced drilling. Annual Technical Meeting, The Pet Society
Mitchell R, Goodman M, Wood E (1987) Borehole stresses: plasticity and the drilled hole effect. SPE/IADC Drilling Conference 16053
Mohammed HQ, Abbas AK, Dahm HH (2018) Wellbore instability analysis for Nahr Umr Formation in Southern Iraq. ARMA:916
Nwonodi RI, Ayuba S, Yusuf TJ, Eromosele AF, Chukwu G, Tswenma T (2018) Suitability of 3D rock failure criteria for wellbore stability in the Niger Delta. Am J Earth Sci Eng 1:174–180
Risnes R, Bratli RK, Horsrud P (1982) Sand stresses around a wellbore. Soc Pet Eng 22:883–898
Singh M, Raj A, Singh B (2011) Modified Mohr–Coulomb criterion for non-linear triaxial and polyaxial strength of intact rocks. Int J Rock Mech Min Sci 48:546–555
Singh A, Rao KS, Ayothiraman R (2019) Study on Mohr–Coulomb-based three-dimensional strength criteria and its application in the stability analysis of vertical borehole. Arab J Geosci 12:578
Single B, Goel R, Mehrotra V, Garg S, Allu M (1998) Effect of intermediate principal stress on strength of anisotropic rock mass. Tunn Undergr Space Technol 13:71–79
Song I, Haimson BC (1997) Polyaxial strength criteria and their use in estimating in situ stress magnitudes from borehole breakout dimensions. Int J Rock Mech Min Sci 34:116. e1–116. e16
Vernik L, Zoback MD (1992) Estimation of maximum horizontal principal stress magnitude from stress-induced well bore breakouts in the Cajon Pass Scientific Research borehole. J Geophys Res B: Solid Earth 97:5109–5119
Zhang L, Radha K (2010) Stability analysis of vertical boreholes using a three-dimensional Hoek-Brown strength criterion. ASCE. In: Proceedings of the GeoFlorida 283-292
Zoback MD (2007) Reservoir Geomechanics. Cambridge University Press
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Aghighi, M.A., Asgari, R. Determination of low and high mud weight shear failures at borehole walls using the modified 3-D Mohr–Coulomb failure criterion. Arab J Geosci 13, 884 (2020). https://doi.org/10.1007/s12517-020-05876-9
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DOI: https://doi.org/10.1007/s12517-020-05876-9