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288                            Enhanced Oil Recovery in Shale and Tight Reservoirs






































            Figure 10.4 Surfactant phase saturation for 300 nD and 0.1 porosity at 20 days.

          et al., 2001). This was confirmed by an experimental and theoretical study
          by Koo and Kleinstreuer (2003). Thus, the continuum theory is still appli-
          cable to fluid flow through nanopores in shale matrix in a practical sense.
             From the above discussion, the imbibition velocity in the low-
          permeability rock should be one-412nd of that in the high-permeability
          rock. In other words, the oil recovery factor (RF) in the low-permeability
          rock should be close to that (45.2%) in the high-permeability rock by
          412   138 ¼ 56,856 days, since the RF in the high-permeability rock is
          45.2% by 138 days of imbibition. However, the simulation data shows that
          the RF is only 26.8% by more than 2 million days. Why? There must exist
          other forces in addition to capillary force and viscous force, and/or other rea-
          sons. We now discuss the possible causes as follows.
             First, Eq. (10.1) describes the wetting phase (water) imbibition into an air
          capillary tube. The resistance of air is neglected; water “freely” imbibes into
          the capillary tube of air. In the water-oil system, the oil resistance must be
          considered. In addition, water and oil are slightly compressible. For water
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