Pseudo-skin factor due to partial penetration (Odeh correlation)
Input(s)
\(h_{1}\): Distance from payzone top to top of open interval (ft)
\(h_{p}\) : Perforation interval (ft)
\(\mathrm{h}\) : Total pay thickness \((\mathrm{ft})\)
\(r_{w}\) : Wellbore Dia (ft)
\(k_{v}\) : Horizontal Permeability \((\mathrm{mD})\)
\(k_{h}\): Vertical Permeability \((\mathrm{mD})\)
Output(s)
\(z_{m}\): Well Perforation Distance \((\mathrm{ft})\)
\(h_{d}\) : Dimensionless Payzone Thickness (dimensionless)
b: Penetration Ratio (dimensionless)
\(r_{w c}\) : Effective Wellbore dia (ft)
\(s_{p}\) : Skin due to partial penetration (dimensionless)
Formula(s)
\[
\begin{gathered}
z_{m}=\frac{h_{p}}{h} \\
h_{d}=\frac{h}{r_{w}} * \operatorname{sqrt}\left(\frac{k_{h}}{k_{v}}\right) \\
b=h_{1}+\frac{h_{p}}{2} \\
r_{w c}=r_{w} * 2.71^{0.2126} *\left(2.753+\frac{z_{m}}{h}\right) \\
s_{p}=1.35 *\left(\frac{1}{b}-1\right)^{0.825} *\left(\ln \left(r_{w} * h_{d}+7\right)-1.95-\ln \left(r_{\{w c\}}\right) *\left(0.49+0.1 * \ln \left(r_{w} * h_{d}\right)\right)\right)
\end{gathered}
\]
Reference(s)
Horizontal Well Technology, Joshi, Page: 495.