One of the most general form of IPR model below bubble-point pressure:
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| \Psi^n(p_b) - \Psi^n(p_{wf}) = (q/q_\mathrm{max} - q_b/q_\mathrm{max}) \left[ \frac{1}{(1-q_b/q_\mathrm{max})} \cdot \Psi^n(p_b) + (1-q/q_\mathrm{max}) \cdot H(q)\right] |
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| H(q) = \frac{\sum_{k=0}^m a_k \, (q/q_\mathrm{max})^k}{\sum_{k=0}^m} b_k \, (q/q_\mathrm{max})^k} =
\frac{a_0 + a_1 \cdot (q/q_\mathrm{max}) + a_2 \cdot (q/q_\mathrm{max})^2 + ... + a_m \cdot (q/q_\mathrm{max})^m}
{b_0 + b_1 \cdot (q/q_\mathrm{max}) + b_2 \cdot (q/q_\mathrm{max})^2 + ... + b_m \cdot (q/q_\mathrm{max})^m} |
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| p_b > p_r > p_{wf} |
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where
It needs well tests at least three different rates to assess
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| body | --uriencoded--\%7B a \, , \, b, \, p_r \%7D |
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but obviously more tests will make assessment more accurate.
See also
Petroleum Industry / Upstream / Production / Subsurface Production / Subsurface E&P Disciplines / Field Study & Modelling / Production Analysis / Productivity Diagnostics / 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
