Vertical well critical rate correlations - Meyer, Gardner, and Pirson - Simultaneous gas and water coning
Input(s)
\(\rho_{o}\): Oil Density \((\mathrm{g} / \mathrm{cc})\)
\(\rho_{w}\): Water Density \((\mathrm{g} / \mathrm{cc})\)
\(r_{e}\): Drainage Radius ( \(\mathrm{ft}\) )
\(r_{w}\): Radius of Wellbore (ft)
\(h_{p}\): Thickness of Perforated Interval (ft)
\(\mathrm{h}\): Oil Column Thickness (ft)
\(\mu_{o}\): Oil Viscosity \((\mathrm{cP})\)
\(B_{o}\): Oil Formation Volume Factor (RB/STB)
\(k_{o}\): Effective Oil Permeability \((\mathrm{mD})\)
Output(s)
\(q_{o}\): Critical Rate (Maximum Oil Rate without Water Coning) (STB/day)
Formula(s)
\[
q_{o}=0.001535 * \frac{\rho_{w}-\rho_{o}}{\ln \left(\frac{r_{e}}{r_{w}}\right)} *\left(\frac{k_{o}}{\mu_{o} * B_{o}}\right) *\left(h^{2}-\left(h_{p}\right)^{2}\right)
\]
Reference(s)
Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 8, Page: 255.