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326                            Enhanced Oil Recovery in Shale and Tight Reservoirs


             From the sand models, when the initially wettability is changed
          from mixed-wet to oil wet, the oil recovery factor is changed from 0.195
          (in Table 11.4) to 0.067 (in Table 11.6). This indicates that initial wettability
          is very important, which is consistent with Bourbiaux and Kalaydjian (1990)
          experimental data for spontaneous imbibition.
             These models assume the magnitudes of maximum positive and negative
          p c are increased at the same proportion. Now keep the initial oil-wet capil-
          lary pressure unchanged and the capillary pressure endpoint parameter
                               0.5
          is  1.452 psia (Darcy) . After wettability alteration, the parameter is
          changed to 0.1033, 1.033, and 10.33 psia (Darcy) 0.5  (the cases presented
          in bold in Table 11.6). For the sand models, the changes in oil recovery
          factors are not noticeable (close to 0.025). For the shale models, the oil
          recovery factors remain zero. These results confirm the conclusion that
          the oil recovery is insensitive to the absolute value of altered capillary pressure,
          if the rock is initially oil-wet. This is because when the rock is oil-wet, it is
          very slow for a chemical to diffuse into the rock to alter its wettability,
          then the subsequent high capillary pressure of water-wet nature cannot
          play its role. The p c value is proportional to IFT. If the p c value is not impor-
          tant, then the IFT is not important during wettability alteration from
          oil-wetness.


               11.6 Effect of pressure gradient (injection rate)
               The oil recovery factors during alkaline injection into the sand models
          and shale models at different injection rates (pressure gradients) are presented
          in Table 11.7. The pressure gradient is calculated using the injection well
          block (I ¼ 1) pressure minus the production well block (I ¼ 11) pressure
          divided by the distance between these blocks in the middle layer (K ¼ 2).
          In the models, because the injector and the producer are directly connected



          Table 11.7 Effect of pressure gradient in alkali injection.
                                      Sand                    Shale
                      3
          Injection rate, ft /day  (dp/dl) f , psi/ft  RF, fraction  (dp/dl) f , psi/ft  RF, fraction
          0.00011            0.117700     0.262      0.074297465  0.0145
          0.00033            0.266507     0.328      0.214008893  0.0300
          0.001              0.657965     0.424      0.624348985  0.0368
          0.0033             1.857369     0.521      2.004676737  0.0406
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