# 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)

$Q_{c}=\left(3.486 * 10^{-5}\right) * \frac{L}{x_{A}} * h^{2} *\left(\rho_{w}-\rho_{o}\right) * \frac{F}{k_{h} * \mu_{o}}$

## 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.

## Related

### Horizontal well critical rate correlations - Joshi method for gas coning

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