Difference between revisions of "Vogel's IPR"

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  |number=SPE-1476-PA
 
  |number=SPE-1476-PA
 
  |date=1968
 
  |date=1968
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}}</ref>
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<ref name= KermitBrown1984 >{{cite book
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|last1= Brown |first1= Kermit
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|title=The Technology of Artificial Lift Methods. Volume 4. Production Optimization of Oil and Gas Wells by Nodal System Analysis
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|publisher=PennWellBookss
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|date=1984
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|place=Tulsa, Oklahoma
 
}}</ref>
 
}}</ref>
  

Revision as of 08:14, 5 April 2019

Vogel's Inflow Performance Relationship

Vogel's IPR[1]

Vogel's IPR is an empirical two-phase (oil + gas) inflow performance relationship correlation published in 1968 [1].

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 solution has been found to be very good and is widely used in prediction of IPR curves [2].

Math and Physics

Oil well IPR equation

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

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

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

References

  1. ↑ 1.0 1.1 Vogel, J. V. (1968). "Inflow Performance Relationships for Solution-Gas Drive Wells". Journal of Petroleum Technology. 20 (SPE-1476-PA). 
  2. ↑ Cite error: Invalid <ref> tag; no text was provided for refs named KB1984

Cite error: <ref> tag with name "KermitBrown1984" defined in <references> is not used in prior text.

See also

141.2 derivation
Darcy's law
JD
Production Potential
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