Sand weight needed to refill a hydraulically fractured reservoir volume
Input(s)
\(V\): Volume of Unit Area of the Fracture \(\left(\mathrm{ft}^{3} / \mathrm{ft}^{2}\right)\)
Ø: Porosity (fraction)
\(\rho_{\text {sand }}\) : Density of the Sand \(\left(\mathrm{lb} / \mathrm{ft}^{3}\right)\)
Output(s)
\(S\): Sand Weight needed to Refill the Hydraulically Fractured Reservoir Volume \(\left(\mathrm{lb} / \mathrm{ft}^{2}\right)\)
Formula(s)
\[
S=V \cdot(1-\varnothing) \cdot \rho_{\text {sand }}
\]
Reference(s)
Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 98.