Vertical well critical rate correlations - Hoyland, Papatzacos, and Skjaeveland - Isotropic reservoirs

Input(s)

h\mathrm{h}: Oil Column Thickness (m)(\mathrm{m})

hp\mathrm{h}_{\mathrm{p}}: Perforated Interval (m)(\mathrm{m})

re: Drainage Radius (m)

ko\mathrm{k}_{\mathrm{o}}: Effective Oil Permeability (mD)(\mathrm{mD})

ρw\rho_{w}: Water Density (kg/m3)\left(\mathrm{kg} / \mathrm{m}^{3}\right)

μo\mu o: Oil Viscosity (cP)(\mathrm{cP})

ρo\rho_{o}: Oil Density (kg/m3)\left(\mathrm{kg} / \mathrm{m}^{3}\right)

Bo: Oil Formation volume Factor (RB/STB)

Output(s)

Qoc: Critical Rate (m3/day)\left(\mathrm{m}^{3} / \mathrm{day}\right)

Formula(s)

Qoc=(ρwρo)koBoμo10822(1(hph)2)1.325h2.238(ln(re))1.99Q 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.


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