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Formation Volume Factor (FVF) for gas:

LaTeX Math Block
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B_g(p,T) =  \frac{\rho_g^mathring{\circrho}_g}{\rho_g} = \frac{V_g}{\mathring{V}_g^{\circGg}} = \frac{q_g}{q_{Gg}}

where

LaTeX Math Inline
body--uriencoded--\rho_g%5e%7B\circ%7D

fluid density at surface reference conditions

LaTeX Math Inline
body--uriencoded--V_m%5e%7B\circ%7D

molar volume at surface at reference conditions

LaTeX Math Inline
body\rho_g

fluid density at reservoir conditions

LaTeX Math Inline
bodyV_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:

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B_g(p,T) = \frac{Z(p, T)}{Z^{\circ}} \cdot \frac{T/T_T^{\rm refcirc}}{p/p_p^{\rm refcirc}}

where

LaTeX Math Inline
bodyp

reservoir pressure

LaTeX Math Inline
body--uriencoded--

p_%7B\rm ref%7D

p%5e%7B\circ%7D

reference pressure

LaTeX Math Inline
bodyT

reservoir temperature

LaTeX Math Inline
body--uriencoded--T%5e%7B\circ%7D

reference temperature


LaTeX Math Inline
body--uriencoded--Z%5e%7B\circ%7D = Z(T%5e%7B\circ%7D, \, p%5e%7B\circ%7D)

Z-factor at reference conditions


If reference conditions are set at SPE STP then reference Z-factor

LaTeX Math Inline
body--uriencoded--Z%5e%7B\circ%7D = 1
is close to 1 for all natural gases and equation
LaTeX Math Block Reference
anchorBgRef
takes explicit form as:

LaTeX Math Block
anchor3JKIA
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B_g(p,T) = 0.3470 \cdot Z(p, T) \cdot \frac{T}{p}

where

LaTeX Math Inline
bodyB_g

Gas formation volume factor in frac = m3/m3

LaTeX Math Inline
bodyp

reservoir pressure in [kPa ]

LaTeX Math Inline
bodyT

reservoir temperature in [K]
_%7B\rm ref%7Dreference temperature


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) ]