Hydraulic fracture efficiency

Input(s)

xx : Fracture Length (ft)(\mathrm{ft})

tt : Injection Time (min)

C: Fracture Liquid Coefficient (m/min⁡)(\mathrm{m} / \sqrt{\min })

Output(s)

η\eta: Hydraulic Fracture Efficiency (%)

Formula(s)

η=[1x2]⋅[ex2erfc⁡(x)+2xπ−1]erfc⁡(x)=2π∫x∞e−t2dtx=2CπtW\begin{gathered} \eta=\left[\frac{1}{x^{2}}\right] \cdot\left[e^{x^{2}} \operatorname{erfc}(x)+\frac{2 x}{\sqrt{\pi}}-1\right] \\ \operatorname{erfc}(x)=\frac{2}{\sqrt{\pi}} \int_{x}^{\infty} e^{-t^{2}} d t \\ x=2 C \frac{\sqrt{\pi t}}{W} \end{gathered}

Reference(s)

Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 23.

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Hydraulic horsepower

Exploration efficiency

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