Average permeability in radial systems

Input(s)

kak_{a}: Permeability between rwr_{w} and ra(mD)r_{a}(\mathrm{mD})

kek_{e}: Permeability between rer_{e} and ra(mD)r_{a}(\mathrm{mD})

rer_{e}: Drainage radius (ft)

rwr_{w}: Well bore radius (ft)

rar_{a}: Radius lesser than re(ft)r_{e}(\mathrm{ft})

Output(s)

kavg k_{\text {avg }}: Average Permeability in Radial Systems Series (mD)

Formula(s)

kavg=kakeln(rerw)kaln(rera)+keln(rarw)k_{a v g}=\frac{k_{a} * k_{e} * \ln \left(\frac{r_{e}}{r_{w}}\right)}{k_{a} * \ln \left(\frac{r_{e}}{r_{a}}\right)+k_{e} * \ln \left(\frac{r_{a}}{r_{w}}\right)}

Reference(s)

Applied Reservoir Engineering Vol. 1, Smith, Tracy & Farrar, Equation 7-7.


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