Table 1 Empirical equations for predicting PPV.
From: Prediction of peak particle velocity using hybrid random forest approach
References | Empirical equation | References | Empirical equation |
|---|---|---|---|
Duvall | \({\text{v}} = k\left( {\frac{R}{\sqrt Q }} \right)^{ - \alpha }\) | Gupta | \({\text{v}} = k \cdot \left( {\frac{R}{\sqrt Q }} \right)^{ - \alpha } e^{{ - \beta \left( {R/Q} \right)}}\) |
Langefors | \({\text{v}} = k\left( {\frac{{\text{Q}}}{{\sqrt[3]{{R^{2} }}}}} \right)^{{\frac{\alpha }{2}}}\) | Bilgin | \({\text{v}} = k\left( {\frac{R}{\sqrt Q }} \right)^{ - \alpha } {\text{B}}^{\gamma }\) |
Ambraseys | \({\text{v}} = k\left( {\frac{R}{{\sqrt[3]{Q}}}} \right)^{ - \alpha }\) | Roy | \({\text{v}} = {\text{n}} + k\left( {\frac{R}{\sqrt Q }} \right)^{ - 1}\) |
Murmu | \({\text{v}} = k \cdot \left( {\frac{R}{{Q^{2/5} }}} \right)^{ - \alpha }\) |