Fracture width (Perkins and Kern method)

Input(s)

v: Poisson (unitless)

Q: Flowrate (B/m)(\mathrm{B} / \mathrm{m})

μ\mu: Viscosity (cP)(\mathrm{cP})

L: Fracture Length (ft)

E: Young's Modulus (psi)

Output(s)

WmaxW_{\max }: Fracture Width (in.)

Formula(s)

Wmax=0.389((1v2)QμLE)0.25\mathrm{W}_{\max }=0.389 *\left(\left(1-v^{2}\right) * \mathrm{Q} * \mu * \frac{\mathrm{L}}{\mathrm{E}}\right)^{0.25}

Reference(s)

Daneshy, A. 2013. Fundamentals of Hydraulic Fracturing, Daneshy Consultants International, Page: 58.


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