Pseudo-steady state productivity of horizontal wells - Method 3

Input(s)

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

$s_{x}$: Skin Factor (dimensionless)

$\mathrm{h}$: Thickness of Reservoir (ft)

$k_{v}$: Vertical Permeability $(\mathrm{mD})$

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

F: Dimensionless Function ( $\mathrm{ft}$ )

L: Length of Fracture (ft)

Output(s)

$J_{h}$: Pseudo-steady State Productivity of Horizontal Wells (bbl/day psi)

Formula(s)

$$ J_{h}=k_{h} * \frac{\frac{h}{70.6 * \mu_{o}}}{F+\left(\frac{h}{0.5 * L}\right) *\left(\frac{k_{h}}{k_{v}}\right)^{0.5} * s_{x}} $$

Reference(s)

Joshi, S. D. 1991, Horizontal Well Technology. Tulsa, Oklahoma: PennWell Publishing Company. Chapter: 7, Page: 224.