Difference between revisions of "3 Phase IPR"
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==Math and Physics== | ==Math and Physics== | ||
The volume of 1 stb of liquid plus associated gas (volume factor) at any pressure and temperature is given by<ref name=KermitBrown1984/>: | The volume of 1 stb of liquid plus associated gas (volume factor) at any pressure and temperature is given by<ref name=KermitBrown1984/>: | ||
| + | :<math> VF=WCUT\ B_w + (1-WCUT)\ B_o + (GLR\ - (1-WCUT)R_s - WCUT\ R_{sw})B_g</math> <ref name=KermitBrown1984/> | ||
| − | :<math> | + | |
| + | The total volume of produced fluid rate (liquid plus gas) at any conditions of pressure and temperature: | ||
| + | :<math> V=q_t \times VF</math> <ref name=KermitBrown1984/> | ||
==[[3 Phase IPR]] calculation example== | ==[[3 Phase IPR]] calculation example== | ||
Revision as of 07:03, 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:
3 Phase IPR calculation example
Following the example problem #21, page 33 [1]:
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
