In Lamb's problem there are two interface pulses. When the half-space is incompressible the locked Rayleigh (
The effect of gravity on dispersion curves, for a layer with a rigid bottom, is to distort them in such a way that one should observe wave groups similar to the classical gravity waves in a fluid layer when the shear speed is small. In addition one should observe very slow wave groups with wavelengths shortened by gravity. Several dispersion curves are presented to illustrate these features.
The propagator coefficient matrix is given for a transversely isotropic material including gravity.