Determination of breakout failure zone around the borehole using the Mohr-Coulomb and Hoek-Brown failure criteria

Document Type : Research Article

Authors

1 Civil Engineering Department, Faculty of Engineering, University of Zanjan

2 Civil Engineering Department, University of Zanjan

Abstract

By drilling borehole in the ground, the distribution of stress around it changes, and stress concentration is created. If the shear stress induced by in- situ stresses is more than rock strength, it causes a kind of failure around the borehole, which is called breakout. It has been observed that breakout failure zones are initiated and propagated in the direction of the minimum in- situ stress. In this paper, by the assumption of elastic behavior of rock mass, the analytical 2D analysis of breakout failure using the Mohr-Coulomb and Hoek-Brown failure criteria is addressed and the failure zone is obtained by using these two criteria. According to the results of the mathematical model, the effective parameters in the depth and width of the breakout occurring around the borehole are depended on the mechanical properties of the materials in the medium as well as the amount and ratio of in- situ stresses. If the ratio of stresses is one, breakout failure will not occur. Also, with increasing the rock quality, the breakout depth decreases, and with decreasing rock strength and increasing the amount and ratio of stresses, the breakout area becomes larger

Keywords

Main Subjects


[1]  A. Zang, O. Stephansson, Rock fracture criteria, in:  Stress Field of the Earth’s Crust, Springer, 2010, pp. 37-62.
[2]  J. Bell, D. Gough, Northeast-southwest compressive stress in Alberta evidence from oil wells, Earth and planetary science letters (1979).
[3]  M.D. Zoback, D. Moos, L. Mastin, R.N. Anderson, Well bore breakouts and in situ stress, Journal of Geophysical Research: Solid Earth, 90(B7) (1985) 5523-5530
[4]  R.A. Plumb, S.H. Hickman, Stress‐induced borehole elongation: A comparison between the four‐arm dipmeter and the borehole televiewer in the Auburn geothermal well, Journal of Geophysical Research: Solid Earth, 90(B7) (1985) 5513-5521.
[5]  H. Haimson, C. Herrick, Borehole breakouts-a new tool for estimating in situ stress?, in:  ISRM International Symposium, International Society for Rock Mechanics and Rock Engineering, 1986.
[6]  J. Reinecker, M. Tingay, B. Müller, Borehole breakout analysis from four-arm caliper logs, World stress map project,  (2003) 1-5.
[7]  M.D. Zoback, Reservoir geomechanics, Cambridge University Press, 2010.
[8]  H. Kutter, Influence of drilling method on borehole breakouts and core disking, in:  7th ISRM Congress, International Society for Rock Mechanics and Rock Engineering, 1991.
[9]  L. Mastin, The development of borehole breakouts in sandstone, Master’s thesis, in, Stanford Univ., Stanford, Calif, 1984.
[10] R. Ewy, N. Cook, Deformation and fracture around cylindrical openings in rock—II. Initiation, growth and interaction of fractures, in:  International journal of rock mechanics and mining sciences & geomechanics abstracts, Elsevier, 1990, pp. 409-427.
[11] E. Papamichos, Sand production and well productivity in conventional reservoirs, Amadei, Kranz, Scott and Smeallie (eds) Rock mechanics for industry, Balkema Rotterdam,  (1999) 209-215.
[12] P. Van den Hoek, Prediction of different types of cavity failure using bifurcation theory, in:  DC Rocks 2001, The 38th US Symposium on Rock Mechanics (USRMS), American Rock Mechanics Association, 2001.
[13]  A. Klaetsch, B. Haimson, Porosity-dependent fracture-like breakouts in St. Peter sandstone, Mining and tunneling innovation and opportunity,  (2002) 1365-1371.
[14]  R. Cuss, E. Rutter, R. Holloway, Experimental observations of the mechanics of borehole failure in porous sandstone, International Journal of Rock Mechanics and Mining Sciences, 40(5) (2003) 747-761.
[15]  B. Haimson, Micromechanisms of borehole instability leading to breakouts in rocks, International Journal of Rock Mechanics and Mining Sciences, 44(2) (2007) 157173.
[16]  E. Papamichos, J. Tronvoll, A. Skjærstein, T.E. Unander, Hole stability of Red Wildmoor sandstone under anisotropic stresses and sand production criterion, Journal of Petroleum Science and Engineering, 72(12) (2010) 78-92.
[17]  H. Lee, T. Moon, B. Haimson, Borehole breakouts induced in Arkosic sandstones and a discrete element analysis, Rock Mechanics and Rock Engineering, 49(4) (2016) 1369-1388.
[18]I. Song, Borehole breakouts and core disking in westerly granite: mechanisms of formation and relationship in situ stress, University of Wisconsin--Madison, 1998.
[19] H. Lee, Borehole breakouts in arkosic sandstones and quartz-rich sandstones, The University of WisconsinMadison, 2005.
[20]  E. Leeman, The measurement of stress in rock: Part I: The principles of rock stress measurements, Journal of the Southern African Institute of Mining and Metallurgy, 65(2) (1964) 45-81.
[21]  D. Gough, J. Bell, Stress orientations from borehole wall fractures with examples from Colorado, east Texas, and northern Canada, Canadian Journal of Earth Sciences, 19(7) (1982) 1358-1370.
[22]  B.C. Haimson, J.N. Edl Jr, Hydraulic fracturing of deep wells, in:  Fall Meeting of the Society of Petroleum Engineers of AIME, Society of Petroleum Engineers, 1972.
[23]  M. Mansourizadeh, M. Jamshidian, P. Bazargan, O. Mohammadzadeh, Wellbore stability analysis and breakout pressure prediction in vertical and deviated boreholes using failure criteria–A case study, Journal of Petroleum Science and Engineering, 145 (2016) 482-492.
[24] H. Kim, L. Xie, K.-B. Min, S. Bae, O. Stephansson, Integrated in situ stress estimation by hydraulic fracturing, borehole observations and numerical analysis at the EXP1 borehole in Pohang, Korea, Rock Mechanics and Rock Engineering, 50(12) (2017) 3141-3155.
[25]  H. Zhang, S. Yin, B.S. Aadnoy, Poroelastic modeling of borehole breakouts for in-situ stress determination by finite element method, Journal of Petroleum Science and Engineering, 162 (2018) 674-684.
[26]  S. Khatibi, A. Aghajanpour, M. Ostadhassan, O. Farzay, Evaluating Single-Parameter parabolic failure criterion in wellbore stability analysis, Journal of Natural Gas Science and Engineering, 50 (2018) 166-180.
[27]  J.C. Jaeger, N.G. Cook, R. Zimmerman, Fundamentals of rock mechanics, John Wiley & Sons, 2009.
[28] E. Hoek, C. Carranza-Torres, B. Corkum, HoekBrown failure criterion-2002 edition, Proceedings of NARMS-Tac, 1(1) (2002) 267-273.