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227    Determination of S 3 from mini-fracs




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                     150


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                   S Hmax  (MPa)  140





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                     120
                        0         20        40        60        80       100
                                                  w BO




                                     0          50        100        150 MPa

              Figure 7.11. The dependence of S Hmax on rock strength for given values of breakout width. The
              square indicates the analysis shown in Figure 7.10.


              vertical stress, the least principal stress as well as a reasonable estimate of rock strength
              are also needed. Figure 7.11 shows the sensitivity of S Hmax determined from breakout
              width as a function of rock strength. The square box shows the result from Figure 7.10;
              for a breakout width of 45 and a rock strength of about 138 MPa, S Hmax is estimated
                                    ◦
              to be about 130 MPa. Had the rock strength been mistakenly assumed to be about 150
              MPa, a value of S Hmax of about 140 MPa would have been indicated. Had the strength
              been mistakenly assumed to be as low as 100 MPa, a value of S Hmax of about 125 MPa
              would have been inferred.
                In the case studies presented in Chapters 9–12 (as well as many others), the tech-
              nique of estimating S Hmax from breakout width has proved to provide reasonably useful
              estimates of the value of S Hmax .Asa historical note, Hottman, Smith et al. (1979)
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