Fracture width (Perkins and Kern method)

Input(s)

v: Poisson (unitless)

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

$\mu$: Viscosity $(\mathrm{cP})$

L: Fracture Length (ft)

E: Young's Modulus (psi)

Output(s)

$W_{\max }$: Fracture Width (in.)

Formula(s)

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

Reference(s)

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