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Fracture half-length

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X_f =  \frac{Q}{2 \, w_f \, h_f}


Average Fracture width

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w_f = \frac{2 \pi \, p_{\rm net} \, h_f}{5 \, E'}


Net pressure at the wellbore

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p_{\rm net} = 1.524 \, \left( \left(  \frac{20}{\pi^2} \cdot \frac{E'^4 \, q \, Q \, \mu}{h_f^6} \right)^{1/5}

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