Synonym:
One of the most general form of IPR model below bubble-point pressure:
| (1) | \Psi^n(p_r) - \Psi^n(p_{wf}) = \frac{(q-q_{\rm AOF}) \cdot (q - d \cdot q)}{ a + b \cdot q + c \cdot q^2} \quad , \quad p_b > p_r > p_{wf} |
where
p_{wf} | bottom-hole pressure (BHP) |
p_r | drainarea formation pressure |
p_b | bubble-point pressure |
n | pseudo-pressure curvature |
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.
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