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.