Initial rate following a hydraulic fracturing operation
Input(s)
\(Q_{\text {pre }}\): Rate before the Hydraulic Fracturing Operation (bbl/d)
\(r_{e}\): Drainage Radius of the Well (in.)
\(r_{w}\): Hole Radius of the Well (in.)
\(r_{f}\): Radius of the Fracture (in.)
\(k_{f}\): Fracture Permeability \((\mathrm{mD})\)
\(k_{e}\): Average Formation Permeability \((\mathrm{mD})\)
Output(s)
Q: Initial Rate Following a Hydraulic Fracturing Operation (bbl/d)
Formula(s)
\[
Q=Q_{p r e}\left[\frac{\left(k_{f} / k_{e}\right) \log \left(r_{e} / r_{w}\right)}{\log \frac{r_{f}}{r_{w}}+\left(\frac{k_{f}}{k_{e}} \cdot \log \frac{r_{e}}{r_{f}}\right)}\right]
\]
Reference(s)
Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 84.