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Formation Volume Factor (FVF) for gas:

(1) B_g(p,T) = \frac{\rho_g^{\circ}}{\rho_g} = \frac{V_g}{V_{Gg}^{\circ}} = \frac{q_g}{q_{Gg}}

where

\rho_g^{\circ}

fluid density at reference conditions

V_m^{\circ}

molar volume at reference conditions

\rho_g

fluid density at reservoir conditions

V_m

molar volume at reservoir conditions


The reference conditions may vary from case to case but most popular choice are: Separator, Stock Tank and SPE STP.

It can be expressed through the Z-factor as:

(2) B_g(p,T) = \frac{Z(p, T)}{Z^{\circ}} \cdot \frac{T/T^{\circ}}{p/p^{\circ}}

where

p

reservoir pressure

p^{\circ}

reference pressure

T

reservoir temperature

T^{\circ}

reference temperature


Z^{\circ} = Z(T^{\circ}, \, p^{\circ})

Z-factor at reference conditions


If reference conditions are set at SPE STP then equation  (2) takes explicit from as:

(3) B_g(p,T) = 0.3470 \cdot Z(p, T) \cdot \frac{T}{p}

where

B_g

Gas formation volume factor in frac = m3/m3

p

reservoir pressure in [kPa ]

T

reservoir temperature in [K]


See Also


Petroleum Industry / Upstream / Subsurface E&P Disciplines / Fluid (PVT) Analysis / Dynamic fluid properties

Formation Volume Factor (FVF) ]Oil formation volume factor (Bo) ][ Water formation volume factor (Bw) ]



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