Difference between revisions of "3 Phase IPR"
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==[[3 Phase IPR]] calculation example== | ==[[3 Phase IPR]] calculation example== | ||
[[File:3 Phase IPR calculation example.png|thumb|right|400px| Figure.1 [https://www.pengtools.com/pqPlot?paramsToken=73eca3000d5f28d661700c874ebcf1f1 3 Phase IPR calculation example]]] | [[File:3 Phase IPR calculation example.png|thumb|right|400px| Figure.1 [https://www.pengtools.com/pqPlot?paramsToken=73eca3000d5f28d661700c874ebcf1f1 3 Phase IPR calculation example]]] | ||
| − | Following | + | Following Brown<ref name=KermitBrown1984 /> well #1 example on Figure 5.8, page 191: |
===Given:=== | ===Given:=== | ||
:<math>P_r</math> = 2550 psi | :<math>P_r</math> = 2550 psi | ||
Revision as of 07:15, 17 April 2019
Contents
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 (volume factor) 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 Brown[1] well #1 example 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
= calculation variables
= oil fraction, fraction
= water fraction, fraction
= productivity index, stb/d/psia
= pressure, psia
= flowing rate, stb/d
Subscripts
- b = at bubble point
- max = maximum
- o = oil
- r = reservoir
- t = total
- wf = well flowing bottomhole pressure
- wfG = well flowing bottomhole pressure at point G
