Difference between revisions of "Relative Permeability"

Revision as of 16:25, 30 March 2022

Brief

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

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

k_{rw} = k_w/k_{oS_{wc}}

where

k_{ro}

Oil relative permeability, fraction

k_{rw}

Water relative permeability, fraction

k_o

Effective water permeability, mD

k_w

Effective water permeability, mD

k_{oS_{wc}}

Effective oil permeability at irreducible oil saturation, mD

S_{wc}

Connate water saturation, fraction

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.

References

↑ Wolcott, Don (2009). Applied Waterflood Field Development. Houston: Energy Tribune Publishing Inc.

[DW-1] Wolcott, Don (2009). Applied Waterflood Field Development. Houston: Energy Tribune Publishing Inc.

[1]

@@ Line 3: / Line 3: @@
 ==Brief==
-[[Relative Permeability]] is the ratio of the effective permeability to base oil permeability measured at irreducible oil saturation.
+[[Relative Permeability]] is the ratio of the effective permeability to base oil permeability measured at connate water saturation.
 :<math> k_{ro} = k_o/k_{oS_{wir}}</math>
-===Equation===
+:<math> k_{rw} = k_w/k_{oS_{wc}}</math>
-:<math> 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}</math>
 where
-:<math> B_o </math> = oil formation volume factor, m3/m3
+:<math> k_{ro}</math> Oil relative permeability, fraction
-:<math> B_w </math> = water formation volume factor, m3/m3
+:<math> k_{rw}</math> Water relative permeability, fraction
-:<math> k_{rw} </math> = relative water phase permeability, function of the phase saturation, fraction
+:<math> k_o</math> Effective water permeability, mD
-:<math> k_o </math> = oil phase permeability, function of the phase saturation, fraction
+:<math> k_w</math> Effective water permeability, mD
-:<math> k_o </math> = relative oil phase permeability, function of the phase saturation, mD
+:<math> k_{oS_{wc}} </math> Effective oil permeability at irreducible oil saturation, mD
-:<math> k_w </math> = water phase permeability, function of the phase saturation, mD
+:<math> S_{wc} </math> Connate water saturation, fraction
-:<math> M </math>= mobility ratio, fraction
-:<math> \mu_o </math> = oil viscosity, cP
-:<math> \mu_w </math> = water viscosity, cP
-:<math> q_o </math> = oil rate, cc/sec
-:<math> q_w </math> = water rate, cc/sec
 ==Example==

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Difference between revisions of "Relative Permeability"

Revision as of 16:25, 30 March 2022

Contents

Brief

Example

See Also

References