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58  Principles of Applied  Reservoir Simulation


                              „  _ swept  thickness
                                                                     (7,4)
                                  total  thickness


        Reservoir flow models are useful tools for quantifying both swept area and swept
        thickness. The product of areal and vertical sweep efficiency  is the volumetric
        sweep efficiency  E vol:

                                 E
                                  vor^E F                          (7.5)
        where

                            E A  areal sweep  efficiency
                                vertical sweep  efficiency
                            E y
             Overall  recovery  efficiency  must  account  for  both  volumetric  and
        displacement  effects. It is therefore defined as the product of volumetric  sweep
        efficiency  and displacement  efficiency:

                           ^-E D^E vorE D^E AxE y                  (7,6)
        where
                              RE  recovery  efficiency

        Notice that each of the efficiency factors in recovery efficiency can be relatively
        large,, and yet recovery efficiency will be relatively small. For example,  suppose
        the areal and vertical efficiencies are each 70% and displacement  efficiency is
        80%, the product  of these efficiencies  is approximately  39%. This means  that
        even the reservoirs  with the best recovery  efficiency  often  have a substantial
        volume  of  unrecovered  hydrocarbon  remaining  in  the  ground.  The  most
        important goal of improved recovery techniques  is to recover  this remaining
        resource.



                             7.2 Patterns  and  Spacing
             The displacement  processes  discussed  in Chapters  5 and 6 study fluid
        displacement between one injection well and one production well. The alignment
        of the injector-producer  pair represents  a linear displacement process. It is the
        simplest  pattern  involving  injection  and production  wells. A variety  of  other
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