Productivity index for a gas well
Input(s)
k: Permeability \((\mathrm{mD})\)
\(\mathrm{h}\): Thickness \((\mathrm{ft})\)
\(\mathrm{T}\): Temperature \(\left({ }^{\circ} \mathrm{R}\right)\)
A: Drainage Area \(\left(\mathrm{ft}^{2}\right)\) )
\(\mathrm{C}_{\mathrm{A}}\): Shape Factor (dimensionless)
\(\mathrm{r}_{\mathrm{w}}\): Wellbore Radius (ft)
S: Skin (dimensionless)
Output(s)
J: Productivity Index (MSCF/day/psi \({ }^{2} / \mathrm{cP}\) )
Formula(s)
\[
\mathrm{J}=\frac{\mathrm{k} * \mathrm{~h}}{1422 * \mathrm{~T} *\left(0.5 * \ln \left(\frac{4 * \mathrm{~A}}{1.781 * \mathrm{C}_{\mathrm{A}} * \mathrm{r}_{\mathrm{w}}^{2}}\right)+\mathrm{S}\right)}
\]
Reference(s)
Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3, Page: 188 .