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284                                                          APPENDIX A





















           Fig. A.13. Movement of gas globule through a constriction (after Muravyov et al., 1958). r 1 and r 2 ¼
           R 1 and R 2 (radii of curvature).

           and water in a reservoir, however, results in the formation of water–oil and
           gas–water–oil mixtures (see Muravyov et al., 1958). The amount of gas coming
           out of solution during migration is greater with increasing amount of dissolved
           active substances, with increasing surface area of porous medium (i.e., with
           decreasing permeability), and with decreasing temperature. As the oil–water–gas
           mixture moves through pores, the gas bubbles and water droplets are deformed
           on passing through constrictions (see Fig. A.13; see Muravyov et al., 1958). In order
           to move, the gas globule as shown in Fig. A.13 must overcome the capillary pressure
           equal to

                                 1    1
               Dp ¼ p   p ¼ 2s                                               (A.31)
                     1
                          2
                                 R 2  R 1
             Although the Dp may be very small for a single globule, the cumulative resistance
           of many bubbles may be large (Jamin effect). Additional resistance to flow is created
           by the polymolecular layers of oriented molecules of surface-active components in
           the oil, which are adsorbed on the rock surface and may be quite thick
              3
           (10 –10  4  cm). At a constant pressure differential, the rate of oil filtration through
           porous media diminishes with time and is more pronounced in the case of higher
           content of polar compounds in the oil.
             In water-wet carbonate rocks, vugs are ‘‘bad news’’ because during the
           waterflooding operations oil is trapped in the vugs. On the other hand, in oil-wet
           rocks, vugs are ‘‘good news’’ because water (non-wetting phase) will displace oil
           from the vugs. It should be remembered that the non-wetting phase preferably flows
           through larger pores.


           A.3.1. Water block

             The minimum pressure, p cwb , required for oil to displace a globule of water stuck
           in a pore throat between the rock grains, providing the oil is the wetting phase, is
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