Pseudo skin factor due to partial penetration (Brons and Marting method)

Input(s)

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

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

kh: Vertical permeability (mD)(\mathrm{mD})

kv\mathrm{kv} : Horizontal permeability (mD)(\mathrm{mD})

rw: Wellbore diameter (ft)

Output(s)

hdh_{d} : Dimensionless Payzone Thickness (dimensionless)

b: Penetration Ratio (dimensionless)

Gb\mathrm{Gb} : Function for penetration ratio (dimensionless)

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

Formula(s)

hd=hphb=hrw(khkv)0.5Gb=2.9487.363b+11.45b24.675b3sp=(1b1)(ln(hd)Gb)\begin{gathered} h_{d}=\frac{h_{p}}{h} \\ b=\frac{h}{r w} *\left(\frac{k h}{k v}\right)^{0.5} \\ G b=2.948-7.363 * b+11.45 * b^{2}-4.675 * b^{3} \\ s_{p}=\left(\frac{1}{b}-1\right) *\left(\ln \left(h_{d}\right)-G b\right) \end{gathered}

Reference(s)

Horizontal Well Technology, Joshi, Page: 493.


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