Water compressibility

Water compressibility

The formation water (brine) isothermal compressibility data is published in 1990 by McCain.

Water compressibility data

Math and Physics

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

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.

Example. Calculating water formation volume factor

Example source

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