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.