Difference between revisions of "Water compressibility"

Revision as of 05:43, 2 October 2020

The formation water (brine) isothermal compressibility data is published in 1990 by McCain^[1].

Water compressibility data ^[1]

At pressures above bubble point:

c_w = 1 / (7.033 P + 0.5415 C_{mg/l} - 537 T + 403300)

^[2]

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

Example source ^[1]

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

\Delta V_{wP} = -0.0047241

\Delta V_{wT} = 0.027

B_w = 1.022

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

↑ ^1.0 ^1.1 ^1.2 McCain, W.D. Jr. (1990). Properties of Petroleum Fluids (2 ed.). Oklahoma: PennWell Corp. ISBN 978-0878143351.
↑ ^2.0 ^2.1 McCain, W.D. Jr. (1991). "Reservoir-Fluid Property Correlations-State of the Art". Society of Petroleum Engineers (SPE-18571-PA).

@@ Line 7: / Line 7: @@
 ==Math and Physics==
-:<math> B_w = (1+\Delta V_{wP})(1+\Delta V_{wT})</math><ref name= M1990/>
+At pressures above bubble point:
-where
+:<math> c_w = 1 / (7.033 P + 0.5415 C_{mg/l} - 537 T + 403300) </math><ref name= M1991/>
-:<math> \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</math>
-:<math> \Delta V_{wT} = -1.0001(10^{-2}) + 1.33391(10^{-4}) T  + 5.50654(10^{-7}) T^2</math>
 == Application range ==