Productivity index (for generating composite IPR curve)
Input(s)
q: Tested Flow Rate \((\) STB/D)
\(P_{b}\): Bubble Point Pressure \((\mathrm{psi})\)
\(P_{w}\): Wellbore Pressure (psi)
P: Reservoir Pressure (psi)
Output(s)
\(J_{i}\) : Productivity Index \((\mathrm{STB} / \mathrm{D} / \mathrm{psi})\)
Formula(s)
\[
J_{i}=\frac{q}{\left(P-P_{b}\right)+\left(\frac{P_{b}}{1.8}\right)\left(1-0.2 *\left(\frac{P_{w}}{P}\right)-0.8 *\left(\frac{P_{w}}{P}\right)^{2}\right)}
\]
Reference(s)
Boyun, G., William, C., & Ali Ghalambor, G. (2007). Petroleum Production Engineering: A Computer-Assisted Approach, Page: \(3 / 38\).