Difference between revisions of "IPR"
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| + | __TOC__ | ||
==Inflow Performance Relationship== | ==Inflow Performance Relationship== | ||
| − | [[ | + | [[File:Inflow Performance Relationship.png|thumb|right|400px|link=https://www.pengtools.com/pqPlot|Inflow Performance Relationship Curve]] |
| − | [[IPR]] curve | + | [[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 | + | [[IPR]] curve shows productive capacity and well performance. |
| − | ===Oil | + | [[IPR]] curve is used in [[Well Nodal Analysis]] for production systems design, analysis and optimization. |
| − | *[[Darcy's law]] | + | |
| + | ==Math and Physics== | ||
| + | ===Oil well IPR equation=== | ||
| + | *[[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]] | + | *[[Vogel's IPR]] two-phase flow equation (oil + gas) and it's combination with single phase liquid. |
| − | *[[Composite IPR]] | + | *[[Composite IPR]] curve for oil wells producing water. |
| + | *[[3 Phase IPR]] three-phase flow equation (oil + gas + water). | ||
| − | ===Gas | + | ===Gas well IPR equation === |
| − | *[[Darcy's law]] inflow equation | + | *[[Darcy's law]] gas inflow equation: |
:<math>q_g=\frac{kh}{1422 \times 10^3\ T_R}\ (P_{\bar{P}} - P_{P_{wf}})\ J_D </math> | :<math>q_g=\frac{kh}{1422 \times 10^3\ T_R}\ (P_{\bar{P}} - P_{P_{wf}})\ J_D </math> | ||
| − | + | *C and n equation | |
| − | *C and n | ||
| − | + | ==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 | ||
| − | === | + | == Nomenclature == |
| − | * | + | :<math> B </math> = formation volume factor, bbl/stb |
| − | + | :<math> J_D </math> = dimensionless productivity index, dimensionless | |
| − | + | :<math> kh</math> = permeability times thickness, md*ft | |
| + | :<math> \bar{P} </math> = average reservoir pressure, psia | ||
| + | :<math> P_{\bar{P}} </math> = average reservoir pseudopressure, psia<sup>2</sup>/cP | ||
| + | :<math> P_{wf} </math> = well flowing pressure, psia | ||
| + | :<math> P_{P_{wf}} </math> = average well flowing pseudopressure, psia<sup>2</sup>/cP | ||
| + | :<math> q </math> = flowing rate, stb/d | ||
| + | :<math> q_g </math> = gas rate, MMscfd | ||
| + | :<math> T </math> = temperature, °R | ||
| + | |||
| + | ===Greek symbols=== | ||
| + | |||
| + | :<math> \mu </math> = viscosity, cp | ||
| + | |||
| + | == References == | ||
| + | <references> | ||
| + | <ref name=Vogel>{{cite journal | ||
| + | |last1= Vogel |first1=J. V. | ||
| + | |title=Inflow Performance Relationships for Solution-Gas Drive Wells | ||
| + | |journal=Journal of Petroleum Technology | ||
| + | |volume=20 | ||
| + | |number=SPE-1476-PA | ||
| + | |date=1968 | ||
| + | }}</ref> | ||
| + | |||
| + | </references> | ||
| − | [[ | + | ==See also== |
| + | :[[141.2 derivation]]<BR/> | ||
| + | :[[Darcy's law]]<BR/> | ||
| + | :[[JD]]<BR/> | ||
| + | :[[Production Potential]] | ||
{{#seo: | {{#seo: | ||
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|titlemode= replace | |titlemode= replace | ||
|keywords=Inflow Performance Relationship, nodal analysis, IPR curve, IPR calculator | |keywords=Inflow Performance Relationship, nodal analysis, IPR curve, IPR calculator | ||
| − | |description=IPR curve | + | |description=IPR curve formula for well performance. |
}} | }} | ||
| + | |||
| + | [[Category:PQplot]] | ||
| + | [[Category:pengtools]] | ||
Latest revision as of 07:40, 31 May 2020
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).
