Vogel's IPR

Vogel's Inflow Performance Relationship

Vogel's IPR

Vogel's IPR is an empirical two-phase (oil + gas) inflow performance relationship correlation published in 1968 .

Vogel's IPR is based on computer simulations to several solution gas drive reservoirs for different fluid and reservoir relative permeability properties.

Vogel's IPR is the default IPR correlation for the oil wells in the PQplot.

Why Vogel's IPR?

Vogel's IPR solution has been found to be very good and is widely used in prediction of IPR curves.

— Kermit Brown et al

Math and Physics

Oil well IPR equation

• Darcy's law inflow equation for the single phase incompressible liquid:

$\frac{q_o}{q_omax} = \frac{kh}{141.2 B \mu}\ (\bar{P} - P_{wf}) J_D$

• Vogel's IPR two phase equation (oil + gas) and it's combination with single phase liquid
• Composite IPR three phase equation (oil + gas + water)

Gas well IPR equation

• Darcy's law gas inflow 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

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

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

See also

141.2 derivation

Darcy's law

JD

Production Potential