Horizontal well critical rate correlations - Giger and Karcher

Input(s)

$\Delta \rho$: Specific Gravity Difference $(\mathrm{g} / \mathrm{cc})$

$\mathrm{h}$: Thickness $(\mathrm{m})$

$\mu$: Oil Viscosity (mPa s)

B: Oil Formation Volume Factor (RB/STB)

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

L: Distance Between Lines of Horizontal Wells (m)

$\mathrm{g}$: Acceleration of Gravity $\left(\mathrm{m} / \mathrm{s}^{2}\right)$

Output(s)

$q_{c}$: Critical Oil Rate $\left(\mathrm{m}^{3} /\right.$ day $)$

Formula(s)

$$ q_{c}=\left(\frac{k_{h} * h^{2} * g * \Delta \rho}{B * \mu * L}\right) *\left(1-\left(\left(\frac{1}{6}\right) *\left(\frac{h}{L}\right)^{2}\right)\right) $$

Reference(s)

B.J. Karcher, E.F. Aquitaine, F.M. Giger, Some Practical Formulas to Predict Horizontal Well Behavior. 1986. SPE ATCE, New Orleans, Louisiana.