Difference between revisions of "Relative Permeability"

From wiki.pengtools.com
Jump to: navigation, search
(Created page with "__TOC__ ==Brief== Relative Permeability is the ratio of the effective permeability to base oil permeability measured at irreducible oil saturation. :<math> k_{ro} = k_o...")
(No difference)

Revision as of 16:19, 30 March 2022

Brief

Relative Permeability is the ratio of the effective permeability to base oil permeability measured at irreducible oil saturation.

k_{ro} = k_o/k_{oS_{wir}}

Equation

M = \frac{k_w/ \mu_w}{k_o/ \mu_o}=\frac{k_{rw}/ \mu_w}{k_{ro}/ \mu_o}=\frac{q_w B_w}{q_o B_o}

where

B_o = oil formation volume factor, m3/m3
B_w = water formation volume factor, m3/m3
k_{rw} = relative water phase permeability, function of the phase saturation, fraction
k_o = oil phase permeability, function of the phase saturation, fraction
k_o = relative oil phase permeability, function of the phase saturation, mD
k_w = water phase permeability, function of the phase saturation, mD
M = mobility ratio, fraction
\mu_o = oil viscosity, cP
\mu_w = water viscosity, cP
q_o = oil rate, cc/sec
q_w = water rate, cc/sec

Example

Determine the Mobility Ratio using the following data[1]:
Core is at 70% water and 30% oil saturation. Water phase permeability is 248 mD, oil phase permeability is 50 mD. Water viscosity is 1 cP, oil viscosity is 3 cP.

M = \frac{248/1}{50/3} =15

In this case the mobility of water is 15 times higher than the mobility of water.

See Also

References

  1. ↑ Wolcott, Don (2009). Applied Waterflood Field DevelopmentPaid subscription required. Houston: Energy Tribune Publishing Inc. 


Retrieved from "https://wiki.pengtools.com/index.php?title=Relative_Permeability&oldid=7407"