Pseudo-skin factor due to partial penetration (Yeh and Reynolds correlation)
Input(s)
\(h_{p}\): Perforation Interval \((\mathrm{ft})\)
\(\mathrm{h}\) : Total pay thickness \((\mathrm{ft})\)
\(C_{d}\) : Location of open interval from graphical co-relation by Yeh and Ronald (dimensionless)
\(k_{v}\) : Horizontal Permeability \((\mathrm{mD})\)
\(k_{h}\) : Vertical Permeability (mD)
\(r_{w}\): Wellbore Dia (ft)
Output(s)
b: Penetration ratio (dimensionless)
\(C_{1}\) : Location of open interval from graphical co-relation by Yeh and Ronald (dimensionless)
\(h_{d}\) : Dimensionless payzone thickness (dimensionless)
\(h_{\{w d\}}\) : Effective Wellbore depth (ft)
\(s_{p}\): Skin due to partial penetration (dimensionless)
Formula(s)
\[
\begin{gathered}
b=\frac{h_{p}}{h} \\
C_{1}=\frac{h}{r_{w}} * \operatorname{sqrt}\left(\frac{k_{h}}{k_{v}}\right) \\
h_{d}=0.481+1.01 * b-0.838 * b^{2}
\end{gathered}
\]
\[
\begin{gathered}
h_{w d}=C_{d} * b *(1-b) * \frac{h_{d}}{2.71_{1}^{C}} \\
s_{p}=\frac{1-b}{b} * \ln \left(h_{\{w d\}}\right)
\end{gathered}
\]
Reference(s)
Horizontal Well Technology, Joshi, Page: 496.