Difference between revisions of "Water viscosity"

Revision as of 06:45, 2 October 2020

The formation water (brine) isothermal viscosity correlation is published by McCain in 1991^[1].

Water viscosity ^[2]

\mu_{w1} = AT^{-B}

^[1]

where

A = 109.574 - 8.40564 C_W + 0.313314 C_W^2 + 0.00872213 C_W^3

^[1]

B = -1.12166 + 2.63951(10^{-2}) C_W - 6.79461(10^{-4}) C_W^2 - 5.47119(10^{-5}) C_W^3 + 1.55586(10^{-6}) C_W^4

^[1]

\mu_{w} = \mu_{w1} (0.9994 + 4.0295(10^{-5})\ P + 3.1062(10^{-9})\ P^2)

^[1]

C_{mg/l} = 74289.3

SG_w = 1.0476

Calculate water viscosity at 3176 psia and 165°F?

C_W = 74289.3 / 1.0476 / 10000 = 7.1%

A=68.83262779

B=0.984227021

\mu_{w1} = 0.45

\mu_w = \mu_{w1} 1.1587 = 0.52 cP

C_{mg/l}

= pressure correction, res bbl/STB

C_W

= water salinity or weight percent solids, %

P

= pressure, psia

T

= Temperature, °F

\mu_w

= water viscosity, cP

↑ ^1.0 ^1.1 ^1.2 ^1.3 ^1.4 McCain, W.D. Jr. (1991). "Reservoir-Fluid Property Correlations-State of the Art". Society of Petroleum Engineers (SPE-18571-PA).
↑ McCain, W.D. Jr. (1990). Properties of Petroleum Fluids (2 ed.). Oklahoma: PennWell Corp. ISBN 978-0878143351.

@@ Line 16: / Line 16: @@
 :<math> \mu_{w} = \mu_{w1} (0.9994 + 4.0295(10^{-5})\ P + 3.1062(10^{-9})\ P^2)</math><ref name= M1991/>
-== Application range ==
+==Example. Calculating water viscosity ==
-The correlation is valid only for temperatures between 200 and 270F, pressures of 1000 to 20000 psia, and salinities up to  200000 mg/l<ref name= M1991/>.
-== Discussion ==
-We, at pengtools.com, are calculating water compressibility below the bubble point with the same equation at the moment.
-==Example. Calculating water isothermal compressibility==
-Example source <ref name= M1990/>
 ===Input data===
 :<math> C_{mg/l} =  74289.3</math>
+:<math> SG_w =  1.0476</math>
-Calculate water  isothermal compressibility at 3500 psia and 165°F?
+Calculate water viscosity at 3176 psia and 165°F?
 ===Solution===
-:<math> c_w = 2.6348E-6\ psia^{-1}</math>
+:<math> C_W = 74289.3 / 1.0476 / 10000 = 7.1%</math>
+:<math> A=68.83262779</math>
+:<math> B=0.984227021</math>
+:<math> \mu_{w1} = 0.45</math>
+:<math> \mu_w = \mu_{w1} 1.1587 = 0.52 cP</math>
 == Nomenclature  ==
 :<math> C_{mg/l} </math> = pressure correction, res bbl/STB
-:<math> C_{mg/l} </math> = water salinity or solids concentration, mg/l
+:<math> C_W </math> = water salinity or weight percent solids, %
 :<math> P </math> = pressure, psia
 :<math> T </math> = Temperature, °F
+:<math> \mu_w </math> = water viscosity, cP
 ==See also==