Page 87 - Reservoir Geomechanics
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71     Basic constitutive laws




                a.
                  20       STATIC
                           DYNAMIC
                  18
                  16
                  14
                  Pressure (MPa)  10
                  12


                   8
                   6

                   4
                   2
                   0
                       0        0.02     0.04      0.06      0.08      0.1
                                        Volumetric strain

                b.
                            STATIC
                   10
                            DYNAMIC

                    8


                  Pressure (MPa)  6



                    4


                    2



                    0
                         0.035  0.04  0.045  0.05  0.055  0.06  0.065  0.07
                                        Volumetric strain

               Figure 3.7. (a) Hydrostatic loading and unloading cycles of a saturated, uncemented Gulf of
               Mexico sand that shows the clear difference between static and dynamic stiffness, especially for
               loading cycles where both elastic and inelastic deformation is occurring (after Zimmer 2004).
               (b) An expanded view of several of the cycles shown in (a).
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