Comparison of Rock Failure Criteria in Predicting Borehole Shear Failure

Abstract Selection of the appropriate rock failure criteria is one of the key steps in determining minimum required mud weight in wellbore stability analysis. Numerous failure criteria have been used for rock failure analysis, but there is no common agreement of which failure criterion to select. In this paper, thirteen failure criteria used in predicting borehole shear failure were evaluated for four field cases. In a comparison of the results with actual field failure cases, Tresca, Von Mises, and Inscribed Drucker–Prager overestimated the rock breakout and predicted the highest required minimum required mud weight for all cases. Also the results of these criteria are significantly higher than the actual borehole shear failure. Circumscribed Drucker–Prager underestimated the rock breakout and predicted the lowest bound of the minimum required mud weight in most cases which is mainly less than actual onset of borehole breakout. The minimum required mud weights determined by Modified Lade, Modified Wiebols–Cook and Mogi–Coulomb is above, but close to, the onset of breakout based on the field reported failure cases. This means that using of any of these three criteria in wellbore stability analysis could be a safe approach. Furthermore, Modified Lade, Modified Wiebols–Cook and Mogi–Coulomb provided similar results for all studied cases, so these failure criteria may be used interchangeably.

[1]  Ferdinando Stassi-D'Alia,et al.  Flow and fracture of materials according to a new limiting condition of yelding , 1967 .

[2]  W. F. Brace,et al.  An extension of the Griffith theory of fracture to rocks , 1960 .

[3]  Kiyoo Mogi,et al.  Fracture and flow of rocks under high triaxial compression , 1971 .

[4]  Robert W. Zimmerman,et al.  Relation between the Mogi and the Coulomb failure criteria , 2005 .

[5]  Poul V. Lade,et al.  Elasto-plastic stress-strain theory for cohesionless soil with curved yield surfaces , 1977 .

[6]  A. Al-Ajmi,et al.  Stability Analysis of Deviated Boreholes using the Mogi-Coulomb Failure Criterion, with Applications to some North Sea and Indonesian Reservoirs , 2006 .

[7]  C. P. Tan,et al.  A Pragmatic Approach to Managing Wellbore Instability in Extended Reach Wells in the Goodwyn Field , 1999 .

[8]  D. C. Drucker,et al.  Soil mechanics and plastic analysis or limit design , 1952 .

[9]  J. Cook,et al.  Bedding-Related Borehole Instability in High-Angle Wells , 1998 .

[10]  Ping Cao,et al.  Evaluation of rock strength criteria for wellbore stability analysis , 2010 .

[11]  Russell T. Ewy,et al.  WELLBORE-STABILITY PREDICTIONS BY USE OF A MODIFIED LADE CRITERION , 1999 .

[12]  Bernt S. Aadnøy,et al.  STABILITY OF HIGHLY INCLINED BOREHOLES. , 1987 .

[13]  A. A. Griffith The Phenomena of Rupture and Flow in Solids , 1921 .

[14]  J. K. Davidson,et al.  Predicting and Preventing Wellbore Instability: Tullich Field Development, North Sea , 2006 .

[15]  Shaohua Zhou,et al.  A program to model the initial shape and extent of borehole breakout , 1994 .

[16]  Thomas Benz,et al.  A quantitative comparison of six rock failure criteria , 2008 .

[17]  G. A. Wiebols,et al.  An energy criterion for the strength of rock in polyaxial compression , 1968 .

[18]  D. R. Davies,et al.  Use of Plasticity Models For Predicting Borehole Stability , 1989 .

[19]  Mark D. Zoback,et al.  A statistical evaluation of intact rock failure criteria constrained by polyaxial test data for five different rocks , 2002 .

[20]  E. T. Brown,et al.  EMPIRICAL STRENGTH CRITERION FOR ROCK MASSES , 1980 .

[21]  E. Fjaer,et al.  Petroleum Related Rock Mechanics , 1992 .

[22]  Jack Hipple The Ideal Result , 2012 .

[23]  J. C. Jaeger,et al.  Fundamentals of rock mechanics , 1969 .

[24]  M. A. Addis,et al.  Wellbore Stability Analysis: A Review of Current Methods of Analysis and Their Field Application , 1990 .

[25]  W. B. Bradley Failure of Inclined Boreholes , 1979 .