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.