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