Page 72 - Principles of Applied Reservoir Simulation 2E
P. 72

Part I: Reservoir Engineering Primer  57


                             S or  residual oil saturation
       Displacement efficiency  can approach  100% if residual  oil  saturation  can be
       driven  to  zero.  One  of the goals  of enhanced oil recovery  processes  such as
       micellar-polyrner flooding or miscible flooding is to reduce residual oil satura-
       tion and increase displacement  efficiency.
             The definition of displacement efficiency  can be modified to include the
       effects of swelling. Swelling is represented by using surface volume rather than
       reservoir  volume  in  the  definition  of  displacement  efficiency.  The volume
       conversion is achieved by dividing reservoir volume by formation volume factor.
       For example, the displacement efficiency  of a waterflood is
                             V  S  .  V  S     S.   S
                              p  oi   p  or     01   or
                       17
                      E   _     oi  __  oa  ._  oi   oa              <7 2)
                        °  ~ ~                                        '


       where

                     B oi  oil FVF at the beginning of waterflood
                     B oa  oil FVF at the waterflood pressure
       Notice  that  oil  formation volume  factor  is  a maximum at  the  bubble  point
       pressure of the oil. If the waterflood is conducted at or just above bubble point
       pressure,  the value of B^ will be maximized and the residual oil term will be
       minimized.  The  resulting  displacement  efficiency  for  a  waterflood  is  then
       maximized.
             Displacement efficiency is a measure of how effectively mobile hydrocar-
       bons  can  be  recovered.  Although  the  above  definitions  of  displacement
       efficiency  have been given for oil, similar definitions can be provided  for gas.
             In addition to displacement efficiency,  volumetric factors are needed to
       determine overall recovery efficiency. Areal and vertical sweep efficiencies are
       defined  by
                                „   swept  area
                               E  =
                                A  - , -                              (7.3)
                                    total  area
       and
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