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286                            Enhanced Oil Recovery in Shale and Tight Reservoirs


          ultralow permeability and porosity, the base sand model is converted to a
                                                                     19  2
          base shale model which has 0.1 porosity and 300 nD (w3   10  m )
          horizontal permeability. The maximum pressure increases 412 times
          from seven psi for 122 mD permeability and 0.24 porosity to 2887 psi
          for 300 nD permeability and 0.1 porosity, scaled according to permeability
                           0                      1
                             p ffiffiffiffiffiffiffiffiffiffiffiffiffi  p ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi
                              ðk=fÞ      122e 3=0:24
                                  high
          and porosity using  @ ffiffiffiffiffiffiffiffiffiffiffiffiffi ¼ p ffiffiffiffiffiffiffiffiffiffiffiffiffiffi A  ¼ 412, according to Eq.
                             p
                               ðk=fÞ       3e 7=0:1
                                  low
          9.11. The imbibition recovery factors (RF) for the base sand model and
          the base shale model are shown in Fig. 10.2. One may think the high capil-
          lary pressure in the base shale model will quickly drive water in the core to
          displace oil out. However, the imbibition oil recovery factor is only 26.8%
          by more than 2 million days, indicating a very slow imbibition process. To
          find the cause(s), the surfactant phase saturation profile shown in Fig. 10.3
          for the 122 mD model is compared with that shown in Fig. 10.4 for the 300
          nD model. The saturation profiles are in the middle layer of the models by
          20 days of imbibition of a surfactant solution. The surfactant phase satura-
          tions in the middle blocks are 0.47 and 0.32 for the 122 mD and 300 nD
          models, respectively. That means when the permeability is low, the































              Figure 10.2 Effect of permeability and porosity on imbibition oil recovery.
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