Page 159 - Principles of Applied Reservoir Simulation 2E
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144  Principles of Applied  Reservoir Simulation


                                    Table 15-1
                   Molar Conservation  Equation for Component k
                   Physical  Source             Term

                                           n
                                           p
                 Dispersion           V  •  S  4> S t D.  p {  • V*^

                                             n
                 Convection           -V  •  E  p ( * t| F f


                 Source/Sink          +  fi*

                                               n
                 Accumulation         = _   (h S  p  ^  5 1
                                         5/  [  i»i  f  * {  j

                                               *rl
                 Darcy's Law          F,  =  -K—   -  (VP f  -  Y{ Vz



                                   Table  15-2
                   Terminology of Molar Conservation  Equation
               Variable                  Meaning

                  £*/    Dispersion tensor of component k in phase  0
                  A'     Permeability tensor
                  r=rs
                         Relative permeability  of phase  0
                  ^/
                         Number of components
                  «c
                  « /;   Number of  phases
                  ^»     Pressure of phase  0
                  5,     Saturation  of  phase  Q.
                  ^1     Darcy's  velocity for phase  0
                         Mole fraction  of component k  in phase  0
                  *kl
                  Y»     Pressure  gradient  of phase  0
                  ^^     Viscosity of phase  £
                  P«     Density of phase  £
                         Porosity
                  *
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