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204    Reservoir geomechanics


               Table 6.2. Multiple modes of compressive wellbore failure

               Mode  σ 1  σ 2  σ 3  Comment
               B     σ θθ  σ zz  σ rr  Conventional breakout
               X     σ zz  σ rr  σ θθ  Forms on opposite side of well as a conventional breakout but the
                                      failed rock will not fall into the wellbore as σ rr ≡ σ 2
               Z     σ zz  σ θθ  σ rr  Results in failure all the way around the wellbore
               X2    σ θθ  σ rr  σ zz  Requires high mud weights. Failed rock will not fall into the wellbore
                                      as σ rr ≡ σ 2
               R1    σ rr  σ zz  σ θθ  Requires unreasonably high mud weights
               R2    σ rr  σ θθ  σ zz  Requires unreasonably high mud weights



               wellbore failure. Guenot (1989) pointed out that there are a variety of types of breakouts
               depending on the relative magnitudes of the three principal stresses σ θθ , σ rr and σ v .
               This subject has also been discussed by Bratton, Bornemann et al. (1999) who illustrate
               the various modes of wellbore failure.
                 Table 6.2 summarizes six possible modes of compressive wellbore failure depending
               upon whether σ θθ , σ rr or σ zz corresponds to σ 1 , σ 2 or σ 3 . Conventional breakouts
               (referred to as mode B in the table), correspond to failure being driven by the magni-
               tudes of σ θθ , and σ rr , that correspond to σ 1 and σ 3 , respectively. As discussed above,
               because σ rr does not vary as you go around the wellbore, failure occurs in the region
               where it has its maximum value (in a vertical well, this is in the region of the borehole
               wall near the azimuth of the minimum horizontal principal stress, Figure 6.2). Because
               the intermediate principal stress, σ 2 (σ 2 = σ zz in this case), is in the shear failure plane
               when the stress concentration exceeds rock strength, the fractured rock spalls into the
               wellbore. With modes X and X2, σ 2 corresponds to σ rr such that when failure occurs,
               the fracture planes will form perpendicular to the wellbore wall with a slip direction
               parallel to the wellbore wall. Hence, significant zones of failure do not occur because
               the failed rock does not spall into the wellbore. Also, the modes of failure referred to
               as X2, R1 and R2 in Table 6.2 all require very high mud weights as σ rr (σ rr ≡ 
P ≡
               P m − P p ) corresponds to either σ 1 and σ 2 . Moreover, the very high mud weight associ-
               ated with these modes of failure are greater than those that would cause lost circulation
               due to inadvertent hydraulic fracturing of the formation. Finally, mode Z failures can
               occur, but would not be confused with breakouts because failure usually would be
               expected to occur all the way around the well because σ rr (that corresponds to σ 3 ) does
               not vary around the well and if σ zz (in this mode corresponding to σ 1 )is large enough
               to cause failure when it exceeds both σ θθ and σ rr (near the azimuth of S Hmax , Figure
               6.2), it will have even larger values at other azimuths (compare equations 6.4 and 6.6).
               Hence, such failures would result in washouts (failure all around the wellbore) but not
                                                   ◦
               breakouts occurring at an azimuth that is 90 from the direction of conventional break-
               outs. The consistency of hundreds to thousands of breakout orientations in thousands
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