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Rock strengths and rock failure criteria  99


                            90
                            80
                            70
                            60
                          UCS (MPa)  50      y = 14.035x 0.5734

                            40
                                              R² = 0.7869
                            30
                            20                     Data: Horsrud, 2001
                                                   GoM shale
                            10                     Power (GoM shale)
                             0
                              0        5        10       15       20
                                             E (GPa)
              Figure 3.10 Laboratory-measured uniaxial compressive strengths (symbols) versus
              Young’s moduli from the deep wells in the Gulf of Mexico (GoM) shales compared to
              the data in the North Sea.


                          200
                          180
                          160
                          140               y = 23.524x 0.4775
                                              R² = 0.7059
                         UCS (MPa)  100
                          120
                           80
                           60                     Haynesville shale
                           40                     Chang et al., 2006
                                                  GoM shale
                           20      y = 14.035x 0.5734  Power (Haynesville shale)
                                    R² = 0.7869   Power (GoM shale)
                            0
                              0     10    20    30     40    50    60
                                               E (GPa)
              Figure 3.11 Correlations of uniaxial compressive strength and Young’s modulus
              compared to laboratory measured results in the Haynesville shale gas formation and
              the Gulf of Mexico shales.


                 The above Young’s modulus-strength correlations and laboratory test
              data are plotted in Fig. 3.11. It shows that rock strengths are very different
              in different regions, and the Haynesville shale has very high UCS magni-
              tudes. Therefore, calibrations by local lab test data are needed for applying
              these correlations to a new region.
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