Difference between revisions of "Relative Permeability"
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:<math> k_w(S_w=0.7)= \frac{0.332*1*1*3}{2*2} = 0.249 D = 249 mD </math> | :<math> k_w(S_w=0.7)= \frac{0.332*1*1*3}{2*2} = 0.249 D = 249 mD </math> | ||
:<math> k_o(S_w=0.7)= \frac{0.0184*1.2*3*3}{2*2} = 0.049 D = 50 mD </math> | :<math> k_o(S_w=0.7)= \frac{0.0184*1.2*3*3}{2*2} = 0.049 D = 50 mD </math> | ||
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| + | Same core at 30% water and 70% oil and qw=0 cc/sec and qo=0.123 cc/sec: | ||
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| + | :<math> k_w(S_w=0.3)= \frac{0*1*1*3}{2*2} = 0 D = 0 mD </math> | ||
| + | :<math> k_o(S_w=0.3)= \frac{0.123*1.2*3*3}{2*2} = 0.332 D = 332 mD </math> | ||
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Revision as of 16:49, 30 March 2022
Brief
Relative Permeability is the ratio of the effective permeability to base oil permeability measured at connate water saturation[1].
where
Oil relative permeability, fraction
Water relative permeability, fraction 
Effective water permeability, mD 
Effective water permeability, mD
Effective oil permeability at irreducible oil saturation, mD
Connate water saturation, fraction
Related definitions
Effective permeability - oil, water, gas phase permeability when more than one phase is present. Depends on fluids saturations.
Absolute permeability - permeability of the core sample when saturated with one liquid. Independent of fluid. Dependent on pore throat sizes.
Example
Determine the Relative Permeability using the following data[1]:
Core dimensions: A=2 cm2, L=3 cm. PVT: water viscosity = 1 cP, oil viscosity = 3 cP, Bw=1 cc/cc, Bo=1.2 cc/cc.
Core is at 100% water and qw=0.553 cc/sec:
Using Darcy's law:
Same core at 100% oil and qo=0.154 cc/sec:
Same core at 70% water and 30% oil and qw=0.332 cc/sec and qo=0.0184 cc/sec:
Same core at 30% water and 70% oil and qw=0 cc/sec and qo=0.123 cc/sec:
In this case the mobility of water is 15 times higher than the mobility of water.
See Also
References
- ↑ 1.0 1.1
Wolcott, Don (2009). Applied Waterflood Field Development
. Houston: Energy Tribune Publishing Inc.
