Mechanical Stability of Horizontal Wellbore Implementing Mogi-Coulomb Law
Abstract
In this paper, a linear elastic constitutive model is described. The model consists of a three dimensional analyses of stress concentration around an arbitrarily oriented borehole, due to anisotropic in situ stress combined with internal wellbore pressure. Studying the principal stresses around a borehole require the consideration of three possible permutations for the principal stresses: (1) σz ≥ σq ≥ σr, (2) σq ≥ σz ≥ sr, and (3) σq ≥ σr ≥ σz. Considering the practical field conditions, in normal faulting stress regime and reverse faulting stress regime, wellbore stability analysis can be simplified by only assuming case 2 (σθ ≥ σz ≥ σr) for the principal stresses around horizontal borehole. In strike-slip stress regime, however, all the three possible permutations for the principal stresses should be considered in wellbore stability analysis. The constitutive model in conjunction with Mogi-Coulomb law has been used to introduce a new wellbore stability model for horizontal boreholes. The developed model has improved wellbore stability analysis compared to adopting the classical Mohr-Coulomb criterion that is commonly applied. This has been verified by several typical field case studies.
Key words: Wellbore stability; Borehole failure; Collapse pressure; Mogi-coulomb criterion; Horizontal drilling
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[1] Jaeger, J. C., & Cook, N. G. W. (1979). Fundamentals of Rock Mechanics. London: Chapman and Hall.
[2] Pan, X. D., & Hudson, J. A. (1988). A Simplified Three Dimensional Hoek-Brown Yield Criterion. In M. Romana (Ed.), Rock Mechanics and Power Plants (pp. 95-103). Balkema: Rotterdam.
[3] Aubertin, M., Li, L., & Simon, R. (2000). A Multiaxial Stress Criterion for Short- and Long-Term Strength of Isotropic Rock Media. Int. J. Rock Mech. Min. Sci., 37(8), 1169-1193.
[4] Yu, M. H., Zan, Y. W., Zhao, J., & Yoshimine, M. (2002). A Unified Strength Criterion for Rock Material. Int. J. Rock Mech. Min. Sci., 39(8), 975-989.
[5] Mogi, K. (1971). Fracture and Flow of Rocks Under High Triaxial Compression. J. Geophys. Res., 76(5), 1255-1269.
[6] Reik, G., & Zacas, M. (1978). Strength and Deformation Characteristics of Jointed Media in True Triaxial Compression. Int. J. Rock Mech. Min. Sci. Geomech. Abst., 15(6), 295-303.
[7] Michelis, P. (1985). Polyaxial Yielding of Granular Rock. Journal of Engineering Mechanics-Asce, 111(8), 1049-1066.
[8] Michelis, P. (1987). True Triaxial Cyclic Behavior of Concrete and Rock in Compression. International Journal of Plasticity, 3(3), 249-270.
[9] Wawersik, W. R., Carlson, L. W., Holcomb, D. J., & Williams, R. J. (1997). New Method for True-Triaxial Rock Testing. Int. J. Rock Mech. Min. Sci. Geomech. Abst., 34(3-4), 365.
[10] Tiwari, R. P., & Rao, K. S. (2004). Physical Modeling of a Rock Mass Under a True Triaxial Stress State. Int. J. Rock Mech. Min. Sci., 41(Supplement 1), 396-401.
[11] Haimson, B. C., & Chang, C. (2000). 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., 37, 285-296.
[12] Haimson, B. C., & Chang, C. (2002). True Triaxial Strength of the KTB Amphibolite Under Borehole Wall Conditions and Its Use to Estimate the Maximum Horizontal in Situ Stress-Art. J. Geophys. Res-Sol. Earth, 107(B10).
[13] Haimson, B. C., & Chang, C. (2005). Brittle Fracture in Two Crystalline Rocks Under True Triaxial Compressive Stresses. Geological Society Special Publication, 240, 47-59.
[14] Marsden, J. R., Wu, B., Hudson, J. A., & Archer, J. S. (1989). Investigation of Peak Rock Strength Behavior for Wellbore Stability Application. Rock at Great Depth, Vol 2 - Rock Mechanics and Rock Physics at Great Depth, 753-760.
[15] McLean, M., & Addis, M. (1990a). Wellbore Stability Analysis: A Review of Current Methods of Analysis and Their Field Application. In Proceedings of the IADC/SPE Drilling Conference held in Houston, Texas, February 27-March 2. SPE 19941.
[16] McLean, M., & Addis, M. (1990b). Wellbore Stability: The Effect of Strength Criteria on Mud Weight Recommendations. In Proceedings of the 65th Annual Technical Conference and Exhibition of the Society of Petroleum Engineers held in New Orleans, LA, September 23-26. SPE 20405.
[17] Ewy, R. T. (1999). Wellbore-Stability Predictions by Use of a Modified Lade Criterion. Spe Drilling & Completion, 14(2), 85-91.
[18] Al-Ajmi, A. M. (2006). Wellbore Stability Analysis Based on a New True-Triaxial Failure Criterion (Doctoral dissertation). Royal Institute of Technology, Stockholm.
[19] Colmenares, L. B., & Zoback, M. D. (2002). A Statistical Evaluation of Intact Rock Failure Criteria Constrained by Polyaxial Test Data for Five Different Rocks. Int. J. Rock Mech. Min. Sci., 39(6), 695-729.
DOI: http://dx.doi.org/10.3968/j.aped.1925543820120402.843
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