Difference between revisions of "3 Phase IPR"
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:<math> WCUT</math> = water cut, fraction | :<math> WCUT</math> = water cut, fraction | ||
===Subscripts=== | ===Subscripts=== | ||
| + | :g = gas<BR/> | ||
:o = oil<BR/> | :o = oil<BR/> | ||
:sc = standard conditions<BR/> | :sc = standard conditions<BR/> | ||
Revision as of 07:42, 17 April 2019
Three-phase Inflow Performance Relationship
3 Phase IPR is an IPR curve calculated on the basis of total barrels of produced fluid, including gas.
3 Phase IPR curve is used in Pump Design software for pump sizing.
Math and Physics
The volume of 1 stb of liquid plus associated gas at any pressure and temperature is given by[1]:
The total volume of produced fluid rate (liquid plus gas) at any conditions of pressure and temperature:
is calculated as usual using:
- Vogel's IPR equation
- Composite IPR equation
3 Phase IPR calculation example
Following the well #1 example given by Brown[1]on Figure 5.8, page 191:
Given:
= 2550 psi
= 2100 psi
Test data:
= 2300 psi
= 500 b/d
Calculate:
Determine the 3 Phase IPR curves for Fw=0, 0.25, 0.5, 0.75, and 1.
Solution:
The problem was run through PQplot software for different values of watercut.
Result 3 Phase IPR curves are shown on Fig.1. Points indicate results obtained by Brown [1].
The PQplot model from this example is available online by the following link: 3 Phase IPR calculation example
Nomenclature
= volume factor, bbl/stb
= gas liquid ratio, scf / bbl
= flowing rate, stb/d 
= solution gas ration, scf / stb
= total volume of produced fluid rate (inducing gas), bbl/d
= volume factor, bbl/stb
= water cut, fraction
Subscripts
- g = gas
- o = oil
- sc = standard conditions
- t = total
- w = water
