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Getting the Oil/Gas Mixture Out from the Ground

First we make a few mass balances:

Total Hydrocarbon Balance:

Species Hydrocarbon Balance:

Water Balance:


Then we handle the restrictions on system:

Saturations add up to 1

Saturation is the fraction of the V/L space that is a particular phase

Using:

    Sl=liquid saturated

    Sw=water saturated

    Sv=vapor saturated

Sl+Sw+Sv=1

And:

    L=Total moles of liquid/pore volume

    V=Total moles of vapor/pore volume

V=Sv*rhov

L=Sw*rhow

The restriction is:


Use the perfect gas law and the compressiblity factor.

In equilibrium, each phase has the same temperature and pressure