Average permeability of a hydraulically fractured formation

Input(s)

kavgz k_{\text {avgz }} : Average Permeability of a Hydraulically Fractured Zone (mD)

kk: Permeability of the Formation (mD)(\mathrm{mD})

hh : Formation Thickness (ft)

WW: Fracture Thickness (ft)(\mathrm{ft})

rer_{e}: Drainage Radius of the Well (in.)

rwr_{w} : Radius of the Well (in.)

rfr_{f}: Radius of the Fracture (in.)

Output(s)

kavg k_{\text {avg }}: Average Permeability of a Hydraulically Fractured Formation (mD)

Formula(s)

kavg=kkavgzln(rerw)kavgzln(rerf)+kln(rfrw)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.


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