Productivity ratio calculation of a hydraulically-fractured formation

Input(s)

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

$k_{F}$ : Permeability of the Fracture (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.)

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

Output(s)

PR: Productivity Ratio of a Hydraulically Fractured Formation (mD)

Formula(s)

or,

Reference(s)

Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 7.