Difference between revisions of "IPR"

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(Oil well IPR equation)
(Inflow Performance Relationship)
 
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[[File:Inflow Performance Relationship.png|thumb|right|400px|link=https://www.pengtools.com/pqPlot|Inflow Performance Relationship Curve]]
 
[[File:Inflow Performance Relationship.png|thumb|right|400px|link=https://www.pengtools.com/pqPlot|Inflow Performance Relationship Curve]]
  
[[IPR | Inflow Performance Relationship]] is a curve of producing rates plotted against well bottomhole pressures <ref name= Vogel/>.
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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/>.
  
[[IPR]] curve shows productive capacity and performance of a well.
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[[IPR]] curve shows productive capacity and well performance.
  
[[IPR]] curve is used in Nodal Analysis for production systems design, analysis and optimization.
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[[IPR]] curve is used in [[Well Nodal Analysis]] for production systems design, analysis and optimization.
  
 
==Math and Physics==
 
==Math and Physics==
 
===Oil well IPR equation===
 
===Oil well IPR equation===
*[[Darcy's law]] inflow equation for the single phase incompressible liquid:
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*[[Darcy's law]] equation for the single-phase flow of incompressible liquid:
  
 
:<math> q = \frac{kh}{141.2 B \mu}\ (\bar{P} - P_{wf}) J_D</math>
 
:<math> q = \frac{kh}{141.2 B \mu}\ (\bar{P} - P_{wf}) J_D</math>
  
*[[Vogel IPR]] two phase equation (oil + gas) and it's combination with single phase liquid
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*[[Vogel's IPR]] two-phase flow equation (oil + gas) and it's combination with single phase liquid.
*[[Composite IPR]] three phase equation (oil + gas + water)
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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).
  
 
===Gas well IPR equation ===
 
===Gas well IPR equation ===
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:<math> \mu </math> = viscosity, cp
 
:<math> \mu </math> = viscosity, cp
  
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== References ==
 
 
=== References ===
 
 
<references>
 
<references>
 
<ref name=Vogel>{{cite journal
 
<ref name=Vogel>{{cite journal
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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
|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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Latest revision as of 07:40, 31 May 2020

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

141.2 derivation
Darcy's law
JD
Production Potential