| (1) | \frac{q}{q_{max}} = 1 - \sum_{k=1}^N a_k \, \left( \frac{p_{wf}}{p_r} \right)^k \quad , \quad p_b > p_r > p_{wf}, \quad \sum_{k=1}^N a_k =1, \quad 0<a_k<1, \quad k=1..N |
This is a generalisation of Vogel model and reduces to Vogel model for a_1 = 0.2, \ a_2 = 0.8, \ \{ a_k = 0 \, | \ \forall \, k> 2 \}.
See also
Inflow Performance Relation (IPR)
References
- Wiggins, M. L., Russell, J. E., & Jennings, J. W. (1996, December 1). Analytical Development Of Vogel-Type Inflow Performance Relationships. Society of Petroleum Engineers. doi:10.2118/23580-PA
- 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