Deliverability equation for shallow gas reservoirs
Input(s)
k: Permeability \((\mathrm{mD})\)
h: Thickness \((\mathrm{ft})\)
\(\mathrm{T}\): Temperature \(\left({ }^{\circ} \mathrm{R}\right)\)
\(\mu\): Viscosity \((\mathrm{cP})\)
z: Compressibility Factor (dimensionless)
\(\mathrm{r}_{\mathrm{e}}\): Radius of Drainage Area (ft)
\(\mathrm{r}_{\mathrm{w}}\): Wellbore Radius ( \(\mathrm{ft}\) )
Output(s)
C: Performance Coefficient (dimensionless)
Formula(s)
\[
\mathrm{C}=\frac{\mathrm{k} * \mathrm{~h}}{1422 * \mathrm{~T} * \mu_{\mathrm{g}} * \mathrm{Z} *\left(\ln \left(\frac{\mathrm{r}_{\mathrm{e}}}{\mathrm{r}_{\mathrm{w}}}\right)-0.5\right)}
\]
Reference(s)
Ahmed, T., McKinney, P.D. 2005. Advanced Reservoir Engineering, Gulf Publishing of Elsevier, Chapter: 3, Page: 287.