Horizontal well critical rate correlations - Joshi method for gas coning
Input(s)
\(\rho_{o}\): Oil Density \((\mathrm{g} / \mathrm{cc})\)
\(\rho_{g}\): Gas Density \((\mathrm{g} / \mathrm{cc})\)
\(r_{e}\): Effective Radius of drainage (ft)
\(r_{w}\): Radius of Wellbore \((\mathrm{ft})\)
\(l_{v}\): Distance between Gas/Oil interphase and perforated top of Vertical Well (ft)
\(\mathrm{h}\): Oil Column Thickness (ft)
\(\mu_{o}\): Oil Viscosity \((\mathrm{cP})\)
\(B_{o}\): Oil Formation Volume Factor (RB/STB)
\(k_{h}\): Horizontal Permeability \((\mathrm{mD})\)
Output(s)
\(q_{o}\): Critical Oil Rate (STB/day)
Formula(s)
\[
q_{o}=1.535 * 10^{-3} *\left(\rho_{o}-\rho_{g}\right) * k_{h} * \frac{h^{2}-\left(h-l_{v}\right)^{2}}{B_{o} * \mu_{o} * \ln \left(\frac{r_{e}}{r_{w}}\right)}
\]
Reference(s)
Horizontal Well Technology, Joshi, Page: 286-295.