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98    Applied Petroleum Geomechanics


                       250
                                           Haynesville shale
                                           Lashkaripour & Dusseault, 1993
                       200                 Horsrud, 2001
                                           Power (Haynesville shale)
                      UCS (MPa)  100      y = 233.22x -0.553
                       150



                        50

                         0
                           0    2    4    6     8   10   12    14
                                         Porosity (%)
          Figure 3.9 Laboratory-measured uniaxial compressive strengths versus porosities for
          the Haynesville shales compared to UCS-porosity correlations.

          gas and shale oil formations because they normally are geologically older
          formations than the rocks in conventional reservoirs.

          3.2.1.3 From Young’s modulus
          Rock UCS can also be related to Young’s modulus. Chang et al. (2006)
          proposed the following correlation between rock strength (in MPa) and
          Young’s modulus (in GPa) for shales:
                                   UCS ¼ 7:22E 0:712                  (3.14)

             For the data in the Tertiary shales in the deepwater ultradeep wells
          (7600e9000 m below the sea level) of the Gulf of Mexico (e.g., Zhang
          et al., 2008), the laboratory measured UCS (in MPa) and Young’s modulus
          E (in GPa) have the following relation (see Fig. 3.10 and 3.11):

                                 UCS ¼ 14:035E  0:5734                (3.15)

             Laboratory test data in the North Sea shale samples cored from deep
          boreholes (from the Tertiary to the Triassic) and three outcrop shales
          (Horsrud, 2001) are also plotted in Fig. 3.10 for comparison. It can be
          observed that the North Sea shales have a similar trend as the one in the
          Gulf of Mexico.
             For the same data in the Haynesville shale gas formations (f < 14%)
          shown previously, the laboratory-measured UCS (in MPa) and Young’s
          modulus E (in GPa) have the following relation (refer to Fig. 3.11):

                                 UCS ¼ 23:524E  0:4775                (3.16)
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