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.