Initial rate following a hydraulic fracturing operation

Input(s)

Qpre Q_{\text {pre }}: Rate before the Hydraulic Fracturing Operation (bbl/d)

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

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

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

kfk_{f}: Fracture Permeability (mD)(\mathrm{mD})

kek_{e}: Average Formation Permeability (mD)(\mathrm{mD})

Output(s)

Q: Initial Rate Following a Hydraulic Fracturing Operation (bbl/d)

Formula(s)

Q=Qpre[(kf/ke)log(re/rw)logrfrw+(kfkelogrerf)]Q=Q_{p r e}\left[\frac{\left(k_{f} / k_{e}\right) \log \left(r_{e} / r_{w}\right)}{\log \frac{r_{f}}{r_{w}}+\left(\frac{k_{f}}{k_{e}} \cdot \log \frac{r_{e}}{r_{f}}\right)}\right]

Reference(s)

Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 84.


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