Synonym: 123 = LIT IPR @model
One of the most general form of IPR model:
| (1) | a \, q + b \, q^2 = \Psi(p_r) - \Psi(p_{wf}) |
where
p_r | static wellbore pressure |
a | laminar flow coefficient |
b | turbulent flow coefficient |
\Psi(p) | pseudo-pressure function specific to fluid type |
It needs well tests at least three different rates to assess \{ a \, , \, b, \, p_r \} but obviously more tests will make assessment more accurate.
| (2) | \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} |
q_O | surface production rate of rate |
q_{O, \rm max} | Absolute Open Flow (AOL) for oil |
p_{wf} | bottom-hole pressure (BHP) |
p_r | drainarea formation pressure |
p_b | bubble-point pressure |
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 ]
References
- 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