Scattering and reflection phenomena of SH-waves propagation through the surface irregularity in an orthotropic viscoelastic structure

In the present investigation, the scattering nature of SH-waves in the irregular free surface of a linear orthotropic viscoelastic layer lying over orthotropic viscoelastic half-space has been considered. Different types of surface irregularity viz. parabolic type, rectangular type, and triangular notch type have been taken into account in the aforesaid structure. The closed-form expressions of dispersion as well as damping relations have been deduced analytically. The expressions for the induced reflected displacement due to scattering phenomena of SH-waves have also been deduced for all aforesaid cases of surface irregularity. The effects of the anisotropy parameter of the upper layer on the phase velocity and the attenuation coefficient of scattered SH-waves have also been examined. The effects of vertical irregularity parameter and anisotropy parameter on the induced reflected displacement component have also been examined. Further, a comparative observation has also been outlined and discussed.