Difference between revisions of "3 Phase IPR"

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==[[3 Phase IPR]] calculation example==
 
==[[3 Phase IPR]] calculation example==
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[[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 the well #1 example given by Brown<ref name=KermitBrown1984 />on Figure 5.8, page 191:
 
Following the well #1 example given by Brown<ref name=KermitBrown1984 />on Figure 5.8, page 191:
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===Given:===
 
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:<math>P_r</math> = 2550 psi
 
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:<math>P_b</math> = 2100 psi
 
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Test data:
 
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:<math>P_{wf}</math> = 2300 psi
 
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:<math>q_t</math> = 500 b/d
 
  
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===Calculate:===
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''In progress ...''
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Determine the [[3 Phase IPR]] curves for F<sub>w</sub>=0, 0.25, 0.5, 0.75, and 1.
 
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===Solution:===
 
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The problem was run through [[:Category:PQplot | PQplot]] software for different values of watercut.
 
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Result [[3 Phase IPR]] curves are shown on '''Fig.1'''. Points indicate results obtained by Brown <ref name=KermitBrown1984 />.
 
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The  [[:Category:PQplot|PQplot]] model from this example is available online by the following link: [https://www.pengtools.com/pqPlot?paramsToken=73eca3000d5f28d661700c874ebcf1f1 3 Phase IPR calculation example]
 
  
 
== Nomenclature  ==
 
== Nomenclature  ==
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:<math> B</math> = volume factor, dimensionless
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:<math> B</math> = volume factor, bbl/stb oil; bbl/scf gas
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:<math> GLR</math> = gas liquid ratio, ? scf / stb
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:<math> GLR</math> = gas liquid ratio, scf / bbl
 
:<math> q </math> = flowing rate, stb/d  
 
:<math> q </math> = flowing rate, stb/d  
 
:<math> R</math> = solution gas ration, scf / stb
 
:<math> R</math> = solution gas ration, scf / stb
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:<math> VF </math> = volume factor, bbl/stb
 
:<math> VF </math> = volume factor, bbl/stb
 
:<math> WCUT</math> = water cut, fraction
 
:<math> WCUT</math> = water cut, fraction
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===Subscripts===
 
===Subscripts===
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:g = gas<BR/>
 
:o = oil<BR/>
 
:o = oil<BR/>
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:sc = standard conditions
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:sc = standard conditions<BR/>
 
:t = total<BR/>
 
:t = total<BR/>
 
:w = water<BR/>
 
:w = water<BR/>

Latest revision as of 07:51, 17 April 2019

Three-phase Inflow Performance Relationship

3 Phase IPR Curve [1]

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]:

VF=WCUT\ B_w + (1-WCUT)\ B_o + (GLR\ - (1-WCUT)R_s - WCUT\ R_{sw})B_g [1]


The total volume of produced fluid rate (liquid plus gas) at any conditions of pressure and temperature:

V=q_{t_{sc}} \times VF [1]

q_{t_{sc}} is calculated as usual using:

3 Phase IPR calculation example

Following the well #1 example given by Brown[1]on Figure 5.8, page 191:

In progress ...

Nomenclature

B = volume factor, bbl/stb oil; bbl/scf gas
GLR = gas liquid ratio, scf / bbl
q = flowing rate, stb/d
R = solution gas ration, scf / stb
V = total volume of produced fluid rate (inducing gas), bbl/d
VF = volume factor, bbl/stb
WCUT = water cut, fraction

Subscripts

g = gas
o = oil
sc = standard conditions
t = total
w = water

References

  1. ↑ 1.0 1.1 1.2 1.3 1.4 Brown, Kermit (1984). The Technology of Artificial Lift Methods. Volume 4. Production Optimization of Oil and Gas Wells by Nodal System Analysis. Tulsa, Oklahoma: PennWellBookss. 

See also

IPR
Vogel's IPR
Composite IPR
Darcy's law
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