Difference between revisions of "Mobility Ratio"
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:<math> M > 1</math> water preferentially flows in the reservoir, unstable flow, fingering. | :<math> M > 1</math> water preferentially flows in the reservoir, unstable flow, fingering. | ||
− | + | ==Equation== | |
:<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> | :<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> | ||
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:<math> k_o </math> = relative oil phase permeability, function of the phase saturation, mD | :<math> k_o </math> = relative oil phase permeability, function of the phase saturation, mD | ||
:<math> k_w </math> = water phase permeability, function of the phase saturation, mD | :<math> k_w </math> = water phase permeability, function of the phase saturation, mD | ||
− | :<math> M = mobility ratio, fraction | + | :<math> M </math>= mobility ratio, fraction |
:<math> \mu_o </math> = oil viscosity, cP | :<math> \mu_o </math> = oil viscosity, cP | ||
:<math> \mu_w </math> = water viscosity, cP | :<math> \mu_w </math> = water viscosity, cP | ||
:<math> q_o </math> = oil rate, cc/sec | :<math> q_o </math> = oil rate, cc/sec | ||
:<math> q_w </math> = water rate, cc/sec | :<math> q_w </math> = water rate, cc/sec | ||
+ | |||
+ | Rule of thumb: | ||
+ | :<math> M = 0.333 \mu_o</math> | ||
==Example== | ==Example== | ||
− | Determine [[Mobility Ratio]] using the following data<ref name=DW/>: | + | Determine the [[Mobility Ratio]] using the following data<ref name=DW/>:<BR> |
− | Core is 70% water and 30% oil saturation. Water phase permeability is 248 mD, oil phase permeability is 50 mD. Water viscosity is | + | 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. |
:<math> M = \frac{248/1}{50/3} =15 </math> | :<math> M = \frac{248/1}{50/3} =15 </math> | ||
− | + | In this case the mobility of water is 15 times higher than the mobility of water. | |
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==See Also== | ==See Also== |
Latest revision as of 09:02, 4 April 2022
Contents
Brief
Mobility Ratio determines the relative rate of one fluid to another (etc. water to oil).
- oil is dominant flowing phase, stable flow.
- water preferentially flows in the reservoir, unstable flow, fingering.
Equation
where
- = oil formation volume factor, m3/m3
- = water formation volume factor, m3/m3
- = relative water phase permeability, function of the phase saturation, fraction
- = oil phase permeability, function of the phase saturation, fraction
- = relative oil phase permeability, function of the phase saturation, mD
- = water phase permeability, function of the phase saturation, mD
- = mobility ratio, fraction
- = oil viscosity, cP
- = water viscosity, cP
- = oil rate, cc/sec
- = water rate, cc/sec
Rule of thumb:
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.
In this case the mobility of water is 15 times higher than the mobility of water.
See Also
References
- ↑ Wolcott, Don (2009). Applied Waterflood Field Development. Houston: Energy Tribune Publishing Inc.