Page 241 - Reservoir Geomechanics
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222    Reservoir geomechanics


              the hydrofrac) would be proportional to the change in system volume. However, when
              a tensile fracture opens at the wellbore wall, the change of V s is negligible because V s
              is so large. Thus, P b represents unstable fracture propagation into the far-field (fluid
              is flowing into the fracture faster than the pump is supplying it) but fracture initiation
              could have occurred at any pressure. Because equation (7.4) assumes that hydrofracs
              initiate at the breakdown pressure, if the actual initiation pressure cannot be observed
              due to the large system volume, it is obvious that hydraulic fracturing pressure data
              cannot be used to determine S Hmax in most circumstances.



              Wellbore failure and the determination of S  Hmax


              As mentioned above the type of integrated stress measurement strategy utilized here
              and summarized by Zoback, Barton et al. (2003)was first employed to estimate the
              magnitude of the three principal stresses in the Cajon Pass (Zoback and Healy 1992) and
              KTB scientific drilling projects (Zoback, Apel et al. 1993; Brudy, Zoback et al. 1997).
              Figure 7.7 presents a summary of the stress results for the KTB Project. Hydraulic
              fracturing was used to estimate the least principal stress, S hmin ,to6km depth, as well
              as the magnitude of S Hmax to a depth of ∼3km using a modification of the conventional
              hydraulic fracturing method described above (Baumg¨artner, Rummel et al. 1990). The
              magnitude of S hmin determined from hydraulic fracturing and estimates of rock strength
              from laboratory measurements along with observations of wellbore breakouts were
              used to constrain the magnitude of S Hmax between depths of 1.7 and 4 km (the open
              and filled triangles indicate lower and upper bound estimates). Observations of drilling-
              induced tensile fractures between 3 and 4 km allowed us to independently estimate the
              lower and upper bound of S Hmax (+’s and ×’s, respectively), again using the magnitude
              of S hmin determined from hydraulic fracturing. Note how well the estimates of S Hmax
              from the three techniques compare between ∼1.7 and 4 km. At greater depth, it was
              necessary to combine the observations of tensile fractures and breakouts (the wellbore
              wasfailing simultaneously in compression and tension in the manner illustrated in the
              left panel of Figure 6.4)to constrain the magnitude of S Hmax . Because of the large uncer-
              tainty in temperature at which the tensile fractures formed, there is a correspondingly
              large uncertainty in the magnitude of S Hmax at great depth (see Brudy, Zoback et al.
              1997). Modeling of a breakout rotation at 5.4 km depth using the technique described
              at the end of this chapter provided an independent estimate of the magnitude of S Hmax
              consistent with the combined analysis (Barton and Zoback 1994).
                As discussed in Chapter 6, breakouts form in the area around a wellbore where
              the stress concentration exceeds the rock strength and once a breakout forms, the
              stress concentration around the wellbore is such that breakouts will tend to deepen.
              Because breakout width is expected to remain stable even as breakout growth occurs
              after initiation, Barton, Zoback et al. (1988) proposed a methodology for determination
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