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Water compressibility

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 compressibility

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 solids concentration

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). 
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