Fracture volume (Perkins and Kern method)

Input(s)

H: Fracture Height (ft)

vv: Poisson (unitless)

μ\mu: Viscosity (cP)(\mathrm{cP})

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

E: Young (psi)

L: Fracture Length (ft)(\mathrm{ft})

Output(s)

VfV_{f}: Fracture Volume (ft3)\left(\mathrm{ft}^{3}\right)

Formula(s)

Vf=0.04H((1v2)μQE)0.25 L54\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.


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