Water breakthrough correlation in vertical wells - Bournazel and Jeanson

Input(s)

h: Oil Column Thickness (ft)

$\mathrm{g}$: Gravitational Acceleration $\left(\mathrm{ft} / \mathrm{s}^{2}\right)$

$k_{v}$: Vertical Permeability $(\mathrm{mD})$

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

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

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

$t_{B T}$: Water Breakthrough Time (s)

$\phi_{e}$: Porosity (fraction)

$f_{m}$: Mobility Function Ratio (dimensionless)

Output(s)

$t_{d}$: Dimensionless Breakthrough Time (days)

Formula(s)

$$ t_{d}=\frac{\left(\rho_{w}-\rho_{o}\right) * g * k_{v} * t_{B T} * f_{m}}{\mu_{o} * \emptyset_{e} * h} $$

Reference(s)

Bournazel, C., Jeanson, B. 1971. Fast Water-coning Evaluation Method. SPE AIME, New Orleans, Louisiana.