Average permeability of a hydraulically fractured formation
Input(s)
\(k_{\text {avgz }}\) : Average Permeability of a Hydraulically Fractured Zone (mD)
\(k\): Permeability of the Formation \((\mathrm{mD})\)
\(h\) : Formation Thickness (ft)
\(W\): Fracture Thickness \((\mathrm{ft})\)
\(r_{e}\): Drainage Radius of the Well (in.)
\(r_{w}\) : Radius of the Well (in.)
\(r_{f}\): Radius of the Fracture (in.)
Output(s)
\(k_{\text {avg }}\): Average Permeability of a Hydraulically Fractured Formation (mD)
Formula(s)
\[
k_{a v g}=\frac{k \cdot k_{a v g z} \cdot \ln \left(\frac{r_{e}}{r_{w}}\right)}{k_{a v g z} \cdot \ln \left(\frac{r_{e}}{r_{f}}\right)+k \cdot \ln \left(\frac{r_{f}}{r_{w}}\right)}
\]
Reference(s)
Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 7.