Vertical well critical rate correlations - Meyer, Gardner, and Pirson - Water coning

Input(s)

$\rho_{o}$: Oil Density $(\mathrm{g} / \mathrm{cc})$

$\rho_{g}$: Gas Density $(\mathrm{g} / \mathrm{cc})$

$r_{e}$: Radius of Drainage $(\mathrm{ft})$

$r_{w}$: 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 $(\mathrm{RB} / \mathrm{STB})$

$k_{o}$: Effective Oil Permeability $(\mathrm{mD})$

Output(s)

$q_{o}$: Critical Rate (Maximum Oil Rate without Gas Coning) (STB/day)

Formula(s)

Reference(s)

Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 8 , Page: 255 .