Water formation volume factor

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Water formation volume factor

The water formation volume factor represents the change in volume of the brine as it is transported from the reservoir conditions to surface conditions[1].

The units are reservoir barrels per surface barrel at standard conditions, res bbl/STB.

Water formation volume factor correlation in the PVT software at pengtools.com

Math and Physics

 B_w = (1+\Delta V_{wP})(1+\Delta V_{wT})[1]

where

 \Delta V_{wP} = -1.95301(10^{-9}) P T - 1.72834(10^{-13}) P^2 T - 3.58922(10^{-7}) P - 2.25341(10^{-10}) P^2
 \Delta V_{wT} = -1.0001(10^{-2}) + 1.33391(10^{-4}) T  + 5.50654(10^{-7}) T^2

Application range

The correlation is valid through the full range of solids concentrations, temperatures to 260F, and pressures to 5000psia[2].

Example. Calculating water formation volume factor

Example source [1]

Input data

Calculate water formation volume factor at 3176 psia and 165°F?

Solution

 \Delta V_{wP} = -0.0047241
 \Delta V_{wT} = 0.027
 B_w = 1.022

Nomenclature

 B_w = water formation volume factor, res bbl/STB
 P = pressure, psia
 T = Temperature, °F
 \Delta V_{wP} = pressure correction, res bbl/STB
 \Delta V_{wT} = temperature correction, res bbl/STB

See also

Water bubble point pressure
Water compressibility
Water density
Water formation volume factor
Water salinity from density equation
Water solids concentration
Water viscosity

References

  1. 1.0 1.1 1.2 McCain, W.D. Jr. (1990). Properties of Petroleum Fluids (2 ed.). Oklahoma: PennWell Corp. ISBN 978-0878143351. 
  2. McCain, W.D. Jr. (1991). "Reservoir-Fluid Property Correlations-State of the Art"Free registration required. Society of Petroleum Engineers (SPE-18571-PA).