Page 335 - Principles of Applied Reservoir Simulation 2E
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320  Principles  of Applied  Reservoir Simulation



                       r  =  0.28
                                       (K y/K xf<  +  (K xIK/<


        The remaining parameters  are defined  as:
              K   =  horizontal permeability of connection k (md)
              h   -  thickness of connection  k (ft)
                  =  wellbore  radius (ft)
              r w
              S   =  dimensionless  skin  factor
        In principle, the well flow index can be related to measured values. In practice,
        however,  the terms r e, S, and k ro /\1 0B 0 are seldom well known, especially for
        a multiphase flowing well. As a matter of expediency,  therefore, Eq. (31.2) is
        often  used  to  compute  an  initial  estimate  of  PID.  This  value  can  then  be
        improved by adjusting it until the well rates computed by the simulator match
        the initial observed well  rates.



                               31.3 Horizontal  Wells
             There  are  many  ways  to  estimate  connection  flow  index  PID  for  a
        horizontal well [Joshi, 1991 ]. A PID value can be estimated for horizontal wells
        in a manner similar to that for vertical wells by using the Joshi  formula


             pro,                    QMlOSKh

                                2 _  I  L  I
                          a+ .                          \            (31.3)
                             \     I  2 j
                      In                           (  h  J  +5
                                                             O
                                                           ^^
                         (      LI2      )           2r wj
        where


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