Pseudo-skin factor due to partial penetration (Papatzacos correlation)

Input(s)

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

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

h1h_{1} : Distance from top of reservoir to top of open interval (ft) kvk_{v}: Horizontal permeability (mD)(\mathrm{mD})

khk_{h} : Vertical permeability (mD)(\mathrm{mD})

rwr_{w}: Wellbore dia (ft)(\mathrm{ft})

Output(s)

b: Penetration ratio (dimensionless)

A: Constant for calc (dimensionless)

B: Constant for calc (dimensionless)

hdh_{d} : Dimensionless payzone thickness (dimensionless)

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

Formula(s)

b=hphA=hrwsqrt(khkv)B=hh1+0.25hphd=hh1+0.75hpsp=1bbln(πhd2)+1bln(bb+2sqrt(A1B1))\begin{gathered} b=\frac{h_{p}}{h} \\ A=\frac{h}{r_{w}} * \operatorname{sqrt}\left(\frac{k_{h}}{k_{v}}\right) \\ B=\frac{h}{h_{1}+0.25 * h_{p}} \\ h_{d}=\frac{h}{h_{1}+0.75 * h_{p}} \\ s_{p}=\frac{1-b}{b} * \ln \left(\pi * \frac{h_{d}}{2}\right)+\frac{1}{b} * \ln \left(\frac{b}{b+2} * \operatorname{sqrt}\left(\frac{A-1}{B-1}\right)\right) \end{gathered}

Reference(s)

Horizontal Well Technology, Joshi, Page: 498.


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