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.