Synonym: 123 Laminar Inertial Turbulent IPR @ model = LIT IPR @model
One of the most general form of IPR model below bubble-point pressure:
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a \, q + b \, q^2 = \PsiPsi^n(p_r) - \PsiPsi^n(p_{wf}) \quad , \quad p_b > p_r > p_{wf} |
where
| bottom-hole pressure (BHP) | ||||
| drainarea formation pressure | ||||
| bubble-point pressure | ||||
| pseudo-pressure curvaturestatic wellbore pressure | ||||
| laminar flow coefficient | ||||
| turbulent flow coefficient | ||||
| pseudo-pressure function specific to fluid type |
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It needs well tests at least three different rates to assess
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\frac{q_O}{q_{O, \rm max}} = 1 - 0.2 \, \frac{p_{wf}}{p_r} - 0.8 \Bigg(\frac{p_{wf}}{p_r} \Bigg)^2 \quad , \quad p_b > p_r > p_{wf}
where
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See also
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Petroleum Industry / Upstream / Production / Subsurface Production / Subsurface E&P Disciplines / Field Study & Modelling / Production Analysis / Productivity Diagnostics / Inflow Performance Relation
[ Vogel IPR @model ]
A more general forms of IPR is provided by Vogel IPR @ model and Wiggins IPR @ model.
See also
Inflow Performance Relation (IPR)
[ Richardson and Shaw IPR @ model ] [ Wiggins IPR @ model ][ LIT IPR @ model ][ PADE IPR @ model ]
References
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- Vogel, J. V. (1968, January 1). Inflow Performance Relationships for Solution-Gas Drive Wells. Society of Petroleum Engineers. doi:10.2118/1476-PA
- Archer, R. A., Del Castillo, Y., & Blasingame, T. A. (2003, January 1). New Perspectives on Vogel Type IPR Models for Gas Condensate and Solution-Gas Drive Systems. Society of Petroleum Engineers. doi:10.2118/80907-MS
- Seidle, J. P., & Erickson, D. J. (1993, January 1). Use of Vogel's Inflow Performance Relation for Coal Wells. Society of Petroleum Engineers. doi:10.2118/26201-MS
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