Difference between revisions of "IPR"
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[[IPR]] curve shows productive capacity and well performance.  | [[IPR]] curve shows productive capacity and well performance.  | ||
| − | [[IPR]] curve is used in Nodal Analysis for production systems design, analysis and optimization.  | + | [[IPR]] curve is used in [[Well Nodal Analysis]] for production systems design, analysis and optimization.  | 
==Math and Physics==  | ==Math and Physics==  | ||
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:<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's IPR]] two-phase flow equation (oil + gas) and it's combination with single phase liquid  | + | *[[Vogel's IPR]] two-phase flow equation (oil + gas) and it's combination with single phase liquid.  | 
| − | *[[3 Phase IPR]] three-phase flow equation (oil + gas + water)  | + | *[[Composite IPR]] curve for oil wells producing water.  | 
| + | *[[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  | ||
| − | + | == References ==  | |
<references>  | <references>  | ||
<ref name=Vogel>{{cite journal  | <ref name=Vogel>{{cite journal  | ||
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==See also==  | ==See also==  | ||
| + | :[[Well Nodal Analysis]]  | ||
:[[141.2 derivation]]<BR/>  | :[[141.2 derivation]]<BR/>  | ||
:[[Darcy's law]]<BR/>  | :[[Darcy's law]]<BR/>  | ||
:[[JD]]<BR/>  | :[[JD]]<BR/>  | ||
:[[Production Potential]]  | :[[Production Potential]]  | ||
| + | :[[Vogel's IPR]]  | ||
| + | :[[Composite IPR]]  | ||
| + | :[[3 Phase IPR]]  | ||
{{#seo:  | {{#seo:  | ||
Latest revision as of 13:08, 7 April 2025
Contents
Inflow Performance Relationship
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:
 
- 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
- Darcy's law gas inflow equation:
 
- C and n equation
 
IPR calculator software
- PQplot nodal analysis software is used to calculate the IPR curves. PQplot is available online at www.pengtools.com.
 - Excel
 - other
 
Nomenclature
 = formation volume factor, bbl/stb
 = dimensionless productivity index, dimensionless
 = permeability times thickness, md*ft
 = average reservoir pressure, psia
 = average reservoir pseudopressure, psia2/cP
 = well flowing pressure, psia
 = average well flowing pseudopressure, psia2/cP
 = flowing rate, stb/d
 = gas rate, MMscfd
 = temperature, °R
Greek symbols
 = viscosity, cp
References
- ↑ Vogel, J. V. (1968). "Inflow Performance Relationships for Solution-Gas Drive Wells". Journal of Petroleum Technology. 20 (SPE-1476-PA).
 


