Water breakthrough correlation in vertical wells - Bournazel and Jeanson

Input(s)

h: Oil Column Thickness (ft)

g\mathrm{g}: Gravitational Acceleration (ft/s2)\left(\mathrm{ft} / \mathrm{s}^{2}\right)

kvk_{v}: Vertical Permeability (mD)(\mathrm{mD})

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

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

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

tBTt_{B T}: Water Breakthrough Time (s)

ϕe\phi_{e}: Porosity (fraction)

fmf_{m}: Mobility Function Ratio (dimensionless)

Output(s)

tdt_{d}: Dimensionless Breakthrough Time (days)

Formula(s)

td=(ρwρo)gkvtBTfmμoeht_{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.


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