# 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.

## Related

### Skin factor due to partial penetration

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