HELP - Derive 2-phase 3-dimesional PD flow equation

  1. 1. The problem statement, all variables and given/known data
    Hello All, I'd please like some help in deriving a 2-phase 3-dimensional partial differential flow equation from first principles.


    2. Relevant equations
    I know that the starting point is Darcy's flow equation.


    3. The attempt at a solution
    A key step is substituting the Darcy flow equation into the material balance equation, but I don't know how to get from there to the final equation for a 2-phase 3-dimensional flow.

    Many thanks for helping out.
     
  2. jcsd
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