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253    Wellbore failure and stress determination in deviated wells



        a.                           b.                       c.
               N    E    S   W    N     N   E    S   W    N     N   E    S   W    N
           96.2
                                      55                      51

           96.4
                                      56                      52
                                                                               tensile
           96.6                                             o
                                                          290
                                                          80 o
         Depth (meters)  96.8         57                  302 o  o o  53
                                                          80
                                                          260
           97.0                      natural              75 o
                                      58                      54
                                                                              ambiguous
           97.2
                                      59
                                                              55
           97.4

         ambiguous          ambiguous
                       FMI data                        BHTV amplitude data


              Figure 8.12. Three wellbore images from the Soultz geothermal well in eastern France. (a) Features
              indicated as ambiguous might be en echelon drilling induced tensile fractures or partial sinusoids
              associated with natural that cannot be seen all around the well. (b) Partial sinusoids have the same
              orientation as natural fractures. (c) Axial drilling-induced tensile fractures and possible partial
              sinusoids or en echelon drilling-induced fractures at approximately the same position around the
              wellbore (courtesy J. Baumg¨artner).


                At first glance, this would seem to be a trivial problem. As introduced in Chapter 5,
              natural fractures appear as sinusoids on an image log whereas en echelon drilling-
              induced tensile fractures have a distinctly different appearance. However, two points
              must be kept in mind. First, the combination of poor data quality and small aperture
              features sometimes makes it difficult to trace the sinusoid associated with a natural
              fracture all the way around a well. An example of this is Figure 8.12b, an ultrasonic
              televiewerlogfromtheSoultzgeothermalwellineasternFrance.Second,theenechelon
              drilling-induced tensile fractures discussed above are not linear and can be curved a
              significant amount. This is illustrated in the modeling shown in Figure 8.13a. For the
              combination of stress magnitude and orientation (and wellbore orientation, of course)
              used in the calculation, ω varies rapidly in the region where the wellbore wall is in
              tension. Hence, the drilling-induced tensile fractures will have a curved appearance
              in wellbore image data. A pronounced example of this is shown in Figure 8.13b, an
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