Vertical well critical rate correlations - Hoyland, Papatzacos, and Skjaeveland - Isotropic reservoirs
Input(s)
\(\mathrm{h}\): Oil Column Thickness \((\mathrm{m})\)
\(\mathrm{h}_{\mathrm{p}}\): Perforated Interval \((\mathrm{m})\)
re: Drainage Radius (m)
\(\mathrm{k}_{\mathrm{o}}\): Effective Oil Permeability \((\mathrm{mD})\)
\(\rho_{w}\): Water Density \(\left(\mathrm{kg} / \mathrm{m}^{3}\right)\)
\(\mu o\): Oil Viscosity \((\mathrm{cP})\)
\(\rho_{o}\): Oil Density \(\left(\mathrm{kg} / \mathrm{m}^{3}\right)\)
Bo: Oil Formation volume Factor (RB/STB)
Output(s)
Qoc: Critical Rate \(\left(\mathrm{m}^{3} / \mathrm{day}\right)\)
Formula(s)
\[
Q o c=\frac{\left(\rho_{w}-\rho_{o}\right) * k o}{B o * \mu o * 10822} *\left(1-\left(\frac{h p}{h}\right)^{2}\right)^{1.325} * h^{2.238} *(\ln (r e))^{-1.99}
\]
Reference(s)
Horizontal Well Technology, Joshi, Page: 257.