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

Input(s)

h1h_{1}: Distance from payzone top to top of open interval (ft)

hph_{p} : Perforation interval (ft)

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

rwr_{w} : Wellbore Dia (ft)

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

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

Output(s)

zmz_{m}: Well Perforation Distance (ft)(\mathrm{ft})

hdh_{d} : Dimensionless Payzone Thickness (dimensionless)

b: Penetration Ratio (dimensionless)

rwcr_{w c} : Effective Wellbore dia (ft)

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

Formula(s)

zm=hphhd=hrwsqrt(khkv)b=h1+hp2rwc=rw2.710.2126(2.753+zmh)sp=1.35(1b1)0.825(ln(rwhd+7)1.95ln(r{wc})(0.49+0.1ln(rwhd)))\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.


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