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247    Wellbore failure and stress determination in deviated wells


              of anomalous stress where principal stresses deviate from their average orientation
                     ◦
              by ±10 .
                As a brief historical note, it is worth pointing out that at the time when the integrated
              stress maps presented in Chapter 1 were initially compiled by Zoback and Zoback
              (1980; 1989) and Zoback (1992)itwas assumed that one principal stress was vertical.
              The rationale for this assumption was that at relatively shallow depth in the crust,
              the presence of a sub-horizontal free surface would require one principal stress to
              be approximately vertical. At greater depth, it was argued that for nearly all intraplate
              crustal earthquakes for which there are reliable focal mechanisms, either the P-, B-or T-
              axis was sub-horizontal. While this is a relatively weak constraint on stress orientation,
              the consistency of the apparent horizontal principal stresses in the compiled maps
              indicated that the assumption appeared to generally correct. To date, drilling-induced
              tensile fractures have been identified in scores of near-vertical wells around the world.
              As such fractures are nearly always axial, it provides strong confirmation that the
              assumption that principal stresses in situ are vertical and horizontal is generally valid.




              Estimating S Hmax  from breakouts and tensile fractures
              in deviated wells


              Several authors have addressed the subject of the relationship between the failure of
              inclined holes and the tectonic stress field. Mastin (1988) demonstrated that breakouts
              in inclined holes drilled at different azimuths were expected to form at various angles
              around a well bore. Qian and Pedersen (1991) proposed a non-linear inversion method
              to attempt to extract information about the in situ stress tensor from breakouts in an
              inclined deep borehole in the Siljan impact structure in Sweden. Qian, Crossing et al.
              (1994) later presented a correction of their results because of errors in the published
              equations of Mastin (1988) (although the figures in Mastin’s paper are correct). Zajac
              and Stock (1992) suggested that it is possible to constrain stress magnitudes from
              breakout azimuths if there are observations from a number of inclined holes drilled
              at various azimuths in a uniform stress field. This technique is conceptually similar
              to a technique reported by Aadnoy (1990a,b) to estimate in situ stress from leak-off
              test data in a number of inclined boreholes that assumes that peak pressures from
              leak-off tests are hydrofrac fracture initiation pressures. For the reasons outlined in
              Chapter 7, this is likely a questionable assumption. Using formal geophysical inversion
              theory with observations of breakouts or tensile failures presumes that there will be
              data available from multiple wells of varied orientation that are sampling a uniform
              stress field. Whether such data are likely to be available is a questionable assumption.
                There are several straightforward ways to use observations of tensile fractures and
              breakouts in deviated wells for determination of the magnitude and orientation of
              S Hmax at depth assuming that the vertical principal stress, S v , and minimum horizontal
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