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.