Pseudo-skin factor due to partial penetration (Yeh and Reynolds correlation)

Input(s)

hph_{p}: Perforation Interval (ft)(\mathrm{ft})

h\mathrm{h} : Total pay thickness (ft)(\mathrm{ft})

CdC_{d} : Location of open interval from graphical co-relation by Yeh and Ronald (dimensionless)

kvk_{v} : Horizontal Permeability (mD)(\mathrm{mD})

khk_{h} : Vertical Permeability (mD)

rwr_{w}: Wellbore Dia (ft)

Output(s)

b: Penetration ratio (dimensionless)

C1C_{1} : Location of open interval from graphical co-relation by Yeh and Ronald (dimensionless)

hdh_{d} : Dimensionless payzone thickness (dimensionless)

h{wd}h_{\{w d\}} : Effective Wellbore depth (ft)

sps_{p}: Skin due to partial penetration (dimensionless)

Formula(s)

b=hphC1=hrwsqrt(khkv)hd=0.481+1.01b0.838b2\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}hwd=Cdb(1b)hd2.711Csp=1bbln(h{wd})\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.


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