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. |
− | + | [[IPR]] curve is used in [[Well Nodal Analysis]] for production systems design, analysis and optimization. | |
− | ===Oil | + | ==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> |
− | ===IPR calculator software | + | *[[Vogel's IPR]] two-phase flow equation (oil + gas) and it's combination with single phase liquid. |
− | *[[:Category:PQplot | PQplot]] software is used to | + | *[[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: | ||
+ | |||
+ | :<math>q_g=\frac{kh}{1422 \times 10^3\ T_R}\ (P_{\bar{P}} - P_{P_{wf}})\ J_D </math> | ||
+ | |||
+ | *C and n equation | ||
+ | |||
+ | ==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]. | ||
*Excel | *Excel | ||
+ | *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).