Water formation volume factor

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.

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

Water formation volume factor

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 3161 psia and 165F?

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