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Multi-phase fluid model based on three pseudo-components  

LaTeX Math Inline
bodyC = \{ W, O, G \}
:

LaTeX Math Inline
bodyW

water pseudo-component, which may include minerals (assuming formation water and injection water composition is the same)

LaTeX Math Inline
bodyO

dead oil pseudo-component 

LaTeX Math Inline
bodyG

dry gas pseudo-component


existing in three possible phases 

LaTeX Math Inline
body\alpha = \{ w, o, g \}
:

LaTeX Math Inline
bodyw

water phase, consisting of water componentdead oil pseudo-component and dry gas pseudo-component

LaTeX Math Inline
bodyo

oil phase, consisting of dead oil pseudo-component and dissolved dry gas pseudo-component (called Solution Gas) and water

LaTeX Math Inline
bodyg

gas phase, consisting of dry gas pseudo-component and vaporized dead oil pseudo-component (called Volatile Oil)



The volumetric phase-balance equations is:

LaTeX Math Block
anchor1
alignmentleft
s_w + s_o+s_g =1

where

LaTeX Math Inline
bodys_w = \frac{V_w}{V}

share of total fluid volume

LaTeX Math Inline
bodyV
occupied by water phase
LaTeX Math Inline
bodyV_w

LaTeX Math Inline
bodys_o = \frac{V_o}{V}

share of total fluid volume

LaTeX Math Inline
bodyV
occupied by oil phase
LaTeX Math Inline
bodyV_o

LaTeX Math Inline
bodys_g = \frac{V_g}{V}

share of total fluid volume

LaTeX Math Inline
bodyV
occupied by gas phase
LaTeX Math Inline
bodyV_g


The accountable cross-phase exchanges are illustrated in the table below:


LaTeX Math Inline
bodyw

LaTeX Math Inline
bodyo

LaTeX Math Inline
bodyg

LaTeX Math Inline
bodyW

xxx

LaTeX Math Inline
bodyO

xxx

LaTeX Math Inline
bodyG

xxx


Injection water and production water are assumed to have the same dynamic fluid properties and not being discerned.


It's a typical case for 
saturated reservoir.

See Also

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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Fluid (PVT) Analysis / Fluid (PVT) modelling

...