Page 344 - Principles of Applied Reservoir Simulation 2E
P. 344

Part  V: Technical Supplements  329







                                                      B   dt



                      ?           dt
                       0     *J


                                     BP
                                  n o  o                dt

                                                                    (32.30)
                       -
                                             E          dt

                            s    a      J  S J?  a     8P
                     !4.     »* ^     , « ° "' *     I °
                                  dP,                  j  dt
                     8P 0    B g            B 0   dP 0

                                                       dP
                                                       dt


                                                          a*,
               *„     a/>.      B,    dp 0        B *    d

        where  some  simplification  has  been  performed.  This  mess  can  be  greatly
        simplified by multiplying the bracketed terms and then combining with appro-
        priate  terms  in the  curly  brackets.  We  also  notice  the  terms  involving time
        derivatives of S 0 and S w vanish identically.  The result is



                                    d
                         + s     S\ ^    -
                                  o)  dp              dt            (32.31)
                                              g    °.
               £,
               B
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