Page 321 - Principles of Applied Reservoir Simulation 2E
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306  Principles of Applied  Reservoir Simulation


                   Block TOP       =     BOT - THICK
        Water zone thickness
                   WTHICK          =     BOT - WOC
        Gas zone thickness
                   GTHICK          =     GOC - TOP
        The user must specify the initial oil saturation (SOI) for an oil-water system and
        the  initial  gas  saturation  (SGI)  for  a  water-gas  system.  Given  the  initial
        saturations SOI and SGI, the following algorithm is applied  [Fanchi,  1986].


         Case GOC                S, = 0
           1    TOP              S 0 = SOI
                BOT              S w=l-SOI
                WOC

         Case   TOP      ,        f    GTHICK         If ^^^^ then
                GOC      }ft       g
           2                            THICK         5 0-°0
                                                            fg SGI
                WOC      ,             WTHICK         s  = *
                BOT      } A      f                    g
                                        THICK




                                 o w -  1 - 5 0 - bg
                                       O
                                         C
                                 C*
                                     I
                                            *
         Case TOP                 ,  l    GTHICK      US 0  < S or, then
           3    GOC                        THICK      S  — 0
                BOT       J-'    S 0=\-  SOI*f
                WOC                                   5 W =  1 - 5G/
                                 S g  =  (l-f)*SGI
                                                      S g - SGI
                                 C  =  1  C  C
                                 ^w  L  -  *->o " ^g
         Case   GOC              f_  l   WTHICK       lfS 0  < S or, then
           4    TOP                        THICK      S 0  = 0

                         [/      5 = 0                5 W  =  1
                WOC     ;         g
                BOT              S w =  1 -  SOI*f
                                 S 0 = SOI*f
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