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In situ stress estimate  225


                             130            ε h = 100
                                       ε h = 0  ε h = 200  S
                             120
                             110              RF
                            (MPa)  100  SS

                            σ H  90                  ν = 0.25
                              80     NF   σ v
                                  S               Min. strain = 0 micro strains
                              70                  Min. strain = 100 micro strains
                                                  Min. strain = 200 micro strains
                              60
                                60  70   80  90   100  110  120  130
                                            σ (MPa)
                                              h
              Figure 6.22 Stress polygon for the cases of different minimum horizontal strains
              (dashed lines) calculated from Eq. (6.76).


              in the stress polygon: s V ¼ 81.5 MPa, p p ¼ 62.3 MPa, n ¼ 0.25, E ¼ 30
              GPa, and a ¼ 1. Eq. (6.76) is plotted in the stress polygon for three cases of
              ε h ¼ 0, ε h ¼ 100, ε h ¼ 200 microstrains, the dashed lines in Fig. 6.22. It can
              be seen that in situ stress state changes to the reverse faulting stress regime as
              the tectonic strain, ε h , increases. Combining this plot to wellbore breakouts
              and other data, the maximum stress can be obtained.

              6.4.7 Maximum horizontal stress estimate
              If no direct measurements are available for determining the magnitude
              of the maximum horizontal stress, the following relation can provide a
              rule-of-thumb estimation:

                                    s H ¼ s h þ mðs V   s h Þ            (6.78)
              where m is a constant. In the normal faulting stress regime, m can generally
              be taken as 0.5 for a rule-of-thumb estimate.
                 The maximum horizontal stress estimated from Eq. (6.78) needs
              calibrations to obtain a reasonable value. This can be done by, for example,
              using the estimated maximum horizontal stress to calculate wellbore shear
              and tensile failures in offset wells and then comparing the calculated results
              to the observed breakouts and drilling-induced tensile fractures.


              6.5 Maximum horizontal stress orientation
              The orientation of the maximum horizontal stress is a crucially important
              parameter for designing hydraulic fracturing and optimizing drilling direction.
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