Fracture volume (Perkins and Kern method)
Input(s)
H: Fracture Height (ft)
\(v\): Poisson (unitless)
\(\mu\): Viscosity \((\mathrm{cP})\)
Q: Flowrate \((\mathrm{B} / \mathrm{m})\)
E: Young (psi)
L: Fracture Length \((\mathrm{ft})\)
Output(s)
\(V_{f}\): Fracture Volume \(\left(\mathrm{ft}^{3}\right)\)
Formula(s)
\[
\mathrm{V}_{\mathrm{f}}=0.04 * \mathrm{H} *\left(\left(1-v^{2}\right) * \mu * \frac{\mathrm{Q}}{\mathrm{E}}\right)^{0.25} * \mathrm{~L}^{\frac{5}{4}}
\]
Reference(s)
Daneshy, A. 2013. Fundamentals of Hydraulic Fracturing, Daneshy Consultants International, Page: 57.