Lifetime of a hydraulically fractured well
Input(s)
\(m\): Slope of the Production Decline Curve (bbl/day)
\(Q_{a}\): Production Rate just before the Abandonment of the Well (bbl/d)
\(Q_{0}\): Initial Production Rate following the Hydraulic Fracturing Operation (bbl/d)
Output(s)
t: Lifetime of a Hydraulically Fractured Well (days)
Formula(s)
\[
t=\ln \left(\frac{Q_{a}}{Q_{0}}\right) \cdot \frac{1}{|m|}
\]
Reference(s)
Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 86.