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290                            Enhanced Oil Recovery in Shale and Tight Reservoirs


          their porosity and permeability, the lower their experimental velocity was
          compared with the theoretical velocity.
             Yang et al. (2016) studied water imbibition in pores of difference sizes by
          nuclear magnetic resonance (NMR). According to the NMR theory, the
          transverse relaxation (T 2 ) is inversely proportional to the surface-to-volume
          ratio (S/V) of a porous medium (core), because the bulk relaxation and diffu-
          sion relaxation can be negligible in porous media. As the pores become
          smaller, the S/V becomes larger, and then T 2 will be smaller. Yang et al.’s
          experimental data show that T 2 became smaller as more water imbibed, indi-
          cating that water imbibed into the core initially into larger pores and later into
          smaller pores. This is consistent with the Washburn (1921) equation, and it is
          also consistent with Mirzaei and DiCarlo’s (2013) work. Imbibition in larger
          pores is higher than that in smaller pores, because smaller pores have higher
          friction, although they have higher capillary force. However, an earlier paper
          (Meng et al., 2015) from the same research group showed that T 2 becomes
          larger as the water imbibition time became longer. The data, which were
          not consistent with the spontaneous imbibition theory by capillary pressure
          (Washburn, 1921), might be affected by other unexplained factors. Further-
          more, Wang et al. (2015b) observed in laboratory that as the core permeability
          was higher, or equivalently, as the oil viscosity was lower, the oil recovery
          from spontaneous imbibition was higher.


               10.4 Effect of initial wettability and wettability
               alteration

               In the base shale model discussed earlier, the rock is initially oil-wet. If
          no surfactant is added in the water solution, the rock remains oil-wet, and no
          oil can be recovered by the countercurrent oil-water flow. The preceding
          section shows that wettability alteration is a very slow process, especially
          in a shale or tight reservoir. Some reservoirs are initially water-wet. Then
          let us see how fast and how much oil can be produced from a shale reservoir.
          Table 10.1 shows that the oil recovery factor by spontaneous water imbibi-
          tion from the shale rock being initially water-wet is 38% for 138 days. For
          comparison, the oil recovery factor from the conventional rock is also shown
          in the table which is 42.6%. For both the conventional rock and the shale
          rock, the recovery factors are zero if they are initially oil-wet and no surfac-
          tant is added to alter the wettability. These results indicate that the initial
          wettability is very important, which is consistent with Bourbiaux and
          Kalaydjian’s (1990) experimental data; if the rock is initially water-wet,
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