Page 342 - Principles of Applied Reservoir Simulation 2E
P. 342

Part  V: Technical Supplements  327


       Water
                  - A ^
               L  "



       Gas

           L.  =
                B_   dt     B.  a/>     R 2  a p.







                                                     dB^
                                                                    (32.26)
                                                     dP,   dt
                    o     o


                  B...  dt



                                B                            dt
                .          o      w     o
       The saturation constraint

                             S    S  +  S
                              o  + *    g  =  1                    (32.27)
       is now used to remove dS^/d/ from Eq. (32.26). Differentiation of Eq. (32.27)
       by t and rearranging  gives
                           as       as     as
                           —I   =  _—°-  -  —in.                    (32.28)
                            a?       a/     ar

       Substituting Eq. (32.28) into Eq. (32.26) and simplifying yields
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