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.