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Synonym: Formation Volume Factor = Formation Fluid Shrinkage


Ratio of fluid volume at subsurface conditions  V_{\rm sub} to fluid volume at reference conditions V_{\rm ref}:

B = \frac{V_{\rm sub}}{V_{\rm ref}} = \frac{\rho_{\rm ref}}{\rho_{\rm sub}}

where  \rho_{\rm ref} is density at reference conditions and  \rho_{\rm sub} is density at subsurface conditions.


The reference conditions usually refer to 
SPE Standard Conditions (STP) but in some cases nay refer to separator conditions.


It can be calculated via Z-factor as:

(1) B = \frac{Z}{Z_{ref}} \cdot \frac{p_{ref}}{p} \cdot \frac{T}{T_{ref}}


It is related to  fluid compressibility  c as:

(2) c = - \frac{1}{B} \cdot \frac{dB}{dp}


For the slightly compressible fluid the fluid compressibility is not dependent on pressure   c(p) = c = \rm const and Formation Volume Factor has a linear dependence on pressure p with usually a very small gradient c \sim 0 \Leftrightarrow c \cdot (p-p_i) \ll 1:

(3) B(p) = B_i \cdot [1 - c \cdot (p - p_i) ]

where

p_i

some pressure point around which the dynamic process is happening

B_i

 Formation Volume Factor at this pressure point



The 
FVF values are usually used to recalculate the fluid volumes measured at surface to the fluid volumes which are produced from or injected to subsurface reservoir.


The most popular
FVF are:

See Also


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

Oil formation volume factor (Bo) ][ Gas formation volume factor (Bg) ][ Water formation volume factor (Bw) ]



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