Torsional Wave Propagation in a Substratum over a Dry Sandy Gibson Half-Space

Abstract

The propagation of torsional surface waves in a transversely isotropic substratum lying over a dry sandy gibson half-space in the presence of initial stress (compressive and tensile) and gravity have been studied analytically and computed numerically. The dispersion equation has been derived in a closed form. The effect of various inhomogeneity parameters on the torsional wave propagation has been exhibited by means of graphs. The influence of initial stress (compressive and tensile), Biot’s gravity parameter, and the sandy parameter have also been shown on the phase velocity of the torsional surface wave. Dispersion equations are in perfect agreement with the standard results when derived for some particular cases. Graphical user interface software has been developed to generalize the effect of various parameter discussed.