Difference between revisions of "IPR"

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==Inflow Performance Relationship==
 
==Inflow Performance Relationship==
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[[IPR]] is relationship between well bottomhole pressure and well production rate, usually in a form of a curve.
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[[File:Inflow Performance Relationship.png|thumb|right|400px|link=https://www.pengtools.com/pqPlot|Inflow Performance Relationship Curve]]
  
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[[IPR]] curve shows productive capacity and performance of a well.
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[[IPR | Inflow Performance Relationship]] is a curve of producing rates plotted against well bottomhole pressures for oil, water and gas wells<ref name= Vogel/>.
  
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[[IPR]] curve is used in Nodal Analysis for production systems design, analysis and optimization.
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[[IPR]] curve shows productive capacity and well performance.
  
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===Oil Well IPR===
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[[IPR]] curve is used in [[Well Nodal Analysis]] for production systems design, analysis and optimization.
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*[[Darcy's law]] inflow equation for the single phase liquid:
 
  
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:<math> q = \frac{kh}{141.2 B \mu} \frac{\bar{P} - P_{wf}}{J_D} </math>
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==Math and Physics==
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===Oil well IPR equation===
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*[[Darcy's law]] equation for the single-phase flow of incompressible liquid:
  
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*[[Vogel IPR]]
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:<math> q = \frac{kh}{141.2 B \mu}\ (\bar{P} - P_{wf}) J_D</math>
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*[[Composite IPR]]
 
  
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===Gas Well IPR===
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*[[Vogel's IPR]] two-phase flow equation (oil + gas) and it's combination with single phase liquid.
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*[[Darcy's law]]
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*[[Composite IPR]] curve for oil wells producing water.
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*[[3 Phase IPR]] three-phase flow equation (oil + gas + water).
  
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:<math>J_D=\frac{1422 \times 10^3\ T_R}{kh} \frac{q_g}{P_{\bar{P}}-P_{P_{wf}}}</math>
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===Gas well IPR equation ===
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*[[Darcy's law]] gas inflow equation:
  
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*Pseudopressure
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:<math>q_g=\frac{kh}{1422 \times 10^3\ T_R}\ (P_{\bar{P}} - P_{P_{wf}})\ J_D </math>
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*C and n
 
  
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===IPR calculator software===
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*C and n equation
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==IPR calculator software==
 
*[[:Category:PQplot | PQplot]] nodal analysis software is used to calculate the [[IPR]] curves. [[:Category:PQplot | PQplot]]  is available online at [https://www.pengtools.com www.pengtools.com].
 
*[[:Category:PQplot | PQplot]] nodal analysis software is used to calculate the [[IPR]] curves. [[:Category:PQplot | PQplot]]  is available online at [https://www.pengtools.com www.pengtools.com].
 
*Excel
 
*Excel
 
*other
 
*other
  
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===See also===
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== Nomenclature  ==
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*[[Darcy's law]]
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:<math> B </math> = formation volume factor, bbl/stb
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*[[141.2 derivation]]
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:<math> J_D </math> = dimensionless productivity index, dimensionless
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*[[JD]]
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:<math> kh</math> = permeability times thickness, md*ft
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:<math> \bar{P} </math> = average reservoir pressure, psia
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:<math> P_{\bar{P}} </math> = average reservoir pseudopressure, psia<sup>2</sup>/cP
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:<math> P_{wf} </math> = well flowing pressure, psia
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:<math> P_{P_{wf}} </math> = average well flowing pseudopressure, psia<sup>2</sup>/cP
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:<math> q </math> = flowing rate, stb/d
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:<math> q_g </math> = gas rate, MMscfd
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:<math> T </math> = temperature, °R
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===Greek symbols===
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:<math> \mu </math> = viscosity, cp
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== References ==
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<references>
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<ref name=Vogel>{{cite journal
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|last1= Vogel |first1=J. V.
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|title=Inflow Performance Relationships for Solution-Gas Drive Wells
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|journal=Journal of Petroleum Technology
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|volume=20
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|number=SPE-1476-PA
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|date=1968
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}}</ref>
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</references>
  
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[[Category:pengtools]]
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==See also==
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:[[Well Nodal Analysis]]
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:[[141.2 derivation]]<BR/>
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:[[Darcy's law]]<BR/>
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:[[JD]]<BR/>
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:[[Production Potential]]
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:[[Vogel's IPR]]
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:[[Composite IPR]]
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:[[3 Phase IPR]]
  
 
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|titlemode= replace
 
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|keywords=Inflow Performance Relationship, nodal analysis, IPR curve, IPR calculator
 
|keywords=Inflow Performance Relationship, nodal analysis, IPR curve, IPR calculator
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|description=IPR curve shows productive capacity and performance of a well.
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|description=IPR curve formula for well performance.
 
}}
 
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[[Category:PQplot]]
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[[Category:pengtools]]

Latest revision as of 13:08, 7 April 2025

Inflow Performance Relationship

Inflow Performance Relationship Curve

Inflow Performance Relationship is a curve of producing rates plotted against well bottomhole pressures for oil, water and gas wells[1].

IPR curve shows productive capacity and well performance.

IPR curve is used in Well Nodal Analysis for production systems design, analysis and optimization.

Math and Physics

Oil well IPR equation

  • Darcy's law equation for the single-phase flow of incompressible liquid:
q = \frac{kh}{141.2 B \mu}\ (\bar{P} - P_{wf}) J_D
  • Vogel's IPR two-phase flow equation (oil + gas) and it's combination with single phase liquid.
  • Composite IPR curve for oil wells producing water.
  • 3 Phase IPR three-phase flow equation (oil + gas + water).

Gas well IPR equation

q_g=\frac{kh}{1422 \times 10^3\ T_R}\ (P_{\bar{P}} - P_{P_{wf}})\ J_D
  • C and n equation

IPR calculator software

Nomenclature

B = formation volume factor, bbl/stb
J_D = dimensionless productivity index, dimensionless
kh = permeability times thickness, md*ft
\bar{P} = average reservoir pressure, psia
P_{\bar{P}} = average reservoir pseudopressure, psia2/cP
P_{wf} = well flowing pressure, psia
P_{P_{wf}} = average well flowing pseudopressure, psia2/cP
q = flowing rate, stb/d
q_g = gas rate, MMscfd
T = temperature, °R

Greek symbols

\mu = viscosity, cp

References

  1. ↑ Vogel, J. V. (1968). "Inflow Performance Relationships for Solution-Gas Drive Wells". Journal of Petroleum Technology. 20 (SPE-1476-PA). 

See also

Well Nodal Analysis
141.2 derivation
Darcy's law
JD
Production Potential
Vogel's IPR
Composite IPR
3 Phase IPR
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