Productivity index for a gas well

Input(s)

k: Permeability (mD)(\mathrm{mD})

h\mathrm{h}: Thickness (ft)(\mathrm{ft})

T\mathrm{T}: Temperature (R)\left({ }^{\circ} \mathrm{R}\right)

A: Drainage Area (ft2)\left(\mathrm{ft}^{2}\right) )

CA\mathrm{C}_{\mathrm{A}}: Shape Factor (dimensionless)

rw\mathrm{r}_{\mathrm{w}}: Wellbore Radius (ft)

S: Skin (dimensionless)

Output(s)

J: Productivity Index (MSCF/day/psi 2/cP{ }^{2} / \mathrm{cP} )

Formula(s)

J=k h1422 T(0.5ln(4 A1.781CArw2)+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 .


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