Vertical well critical rate correlations - Meyer, Gardner, and Pirson - Simultaneous gas and water coning

Input(s)

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

ρw\rho_{w}: Water Density (g/cc)(\mathrm{g} / \mathrm{cc})

rer_{e}: Drainage Radius ( ft\mathrm{ft} )

rwr_{w}: Radius of Wellbore (ft)

hph_{p}: Thickness of Perforated Interval (ft)

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

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

BoB_{o}: Oil Formation Volume Factor (RB/STB)

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

Output(s)

qoq_{o}: Critical Rate (Maximum Oil Rate without Water Coning) (STB/day)

Formula(s)

qo=0.001535ρwρoln(rerw)(koμoBo)(h2(hp)2)q_{o}=0.001535 * \frac{\rho_{w}-\rho_{o}}{\ln \left(\frac{r_{e}}{r_{w}}\right)} *\left(\frac{k_{o}}{\mu_{o} * B_{o}}\right) *\left(h^{2}-\left(h_{p}\right)^{2}\right)

Reference(s)

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


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