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202    Reservoir geomechanics


               virtual excess mud pressure is introduced that would tend to stabilize the wellbore
               whereas if A m > A p ,a virtual underbalance results which would be destablilizing
               (Mody and Hale 1993).
                 In Figure 6.18a, the portion of the wellbore wall that goes into failure is shown as a
               function of membrane efficiency and water activity of the mud. As discussed at some
               length in Chapter 10,a convenient rule-of-thumb is that if less than half the wellbore
               wall goes into failure, wellbore stability will not be particularly problematic. As can
               be seen, for very high A m (low mud salinity), the wellbore is very unstable, regardless
               of membrane efficiency. At intermediate values of A m , increasing membrane efficiency
               can dramatically improve wellbore stability. Another way of saying this is that where
               A m < A p , restricting ion transfer enhances wellbore stability. It should be pointed out
               that a possible consequence of excessive mud salinity is desiccation and fracturing of
               the shale in the borehole wall. This has the potential to mechanically weaken the shale
               although the importance of this effect is controversial.
                 Figure 6.18b illustrates the fact that because the effect of chemical interactions
               between drilling mud and shaley formations effectively weakens the rock, one can
               sometimes use mud weight to offset the effect of weakening (although this effect may
               diminish over time due to chemo-poroelastic processes). For example, for A m = 0.7, a
                                                             ◦
               mud weight of 11 ppg results in breakout widths of 100 .As this results in more than
               half the wellbore circumference failing, it would result in a relatively unstable wellbore.
               Raising the mud weight to 11.5 ppg reduces breakout widths to about 60 , thus resulting
                                                                         ◦
               in a much more stable wellbore. A similar result could have been achieved with 11 ppg
               mud by lowering A m to 0.67. Figure 6.18c shows what happens to the zone of wellbore
               failure when A m = 0.5 and A w = 0.88 for a membrane efficiency of 0.1. When the mud
               is much more saline than the formation fluid, the wellbore actually becomes more stable
               with time as indicated by the strength of the rock required to avoid failure as a function
               of distance from the wellbore wall and time. This is because the saline mud actually
               causes pore pressure to decrease in the wellbore wall as a consequence of induced fluid
               flow from the formation into the wellbore.
                 Comprehensive discussion of chemical effects on wellbore stability is beyond the
               scope of this book. However, it needs to be remembered that the time dependence
               of ion exchange is not considered in the calculations shown (i.e. ion exchange is only
               consideredinthecontextofmembraneefficiency).Anotherissueaffectingionexchange
               is the physical size of the ions involved such that the rate of ion exchange is slower for
               large ions (such as K and Ca ++ ) than small ions (such as Na and Mg ++ )(Van Oort,
                                +
                                                                  +
               Hale et al. 1995).


               Multiple modes of breakout formation
               In the discussion of breakouts so far in this chapter, I have focused on the case when
               σ 11 = σ θθ , σ zz = σ 22 and σ 33 = σ rr but this is not the only case of compressive
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