Difference between revisions of "IPR"

Revision as of 07:10, 11 April 2019

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 Nodal Analysis for production systems design, analysis and optimization.

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
3 Phase IPR three-phase flow equation (oil + gas + water)

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

PQplot nodal analysis software is used to calculate the IPR curves. PQplot is available online at www.pengtools.com.
Excel
other

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

\mu

= viscosity, cp

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

@@ Line 11: / Line 11: @@
 ==Math and Physics==
 ===Oil well IPR equation===
-*[[Darcy's law]] inflow equation for the single-phase incompressible liquid:
+*[[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>
-*[[Vogel's IPR]] two-phase 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 equation (oil + gas + water)
+*[[3 Phase IPR]] three-phase flow equation (oil + gas + water)
 ===Gas well IPR equation ===