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

\({\text{v}} = k \cdot \left( {\frac{R}{{Q^{2/5} }}} \right)^{ - \alpha }\)