Horizontal well critical rate correlation - Chaperon

Input(s)

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

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

\(x_{A}\): Location of a Constant Pressure Boundary \((\mathrm{ft})\)

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

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

F$: \quad \mathrm{F}=5.48$ for \(\mathrm{k}_{\mathrm{v}} / \mathrm{k}_{\mathrm{h}}=1, \mathrm{~F}=4.8\) for \(\mathrm{k}_{\mathrm{v}} / \mathrm{k}_{\mathrm{h}}=0.01\) and \(\mathrm{F}=4.16\) for \(\mathrm{k}_{\mathrm{v}} / \mathrm{k}_{\mathrm{h}}=0.01(\mathrm{mD})\)

\(k_{h}\): Horizontal Permeability \((\mathrm{mD})\)

L: Horizontal Well Length \((\mathrm{m})\)

Output(s)

\(Q_{c}\): Critical Oil Rate \(\left(\mathrm{m}^{3} / \mathrm{h}\right)\)

Formula(s)

Reference(s)

Chaperon, I. 1986. Theoretical Study of Coning Toward Horizontal and Vertical in Anisotropic Formations: Subcritical and Critical Rates. SPE ATCE, New Orleans, Louisiana.