On dispersion of Love type surface wave in anisotropic porous layer with periodic non uniform boundary surface

Abstract

The paper present a theoretical investigation of the propagation of Love waves past an anisotropic fluid saturated porous layer with irregular periodic boundaries and sandwiched between two elastic isotropic half spaces. The porous layer is assumed to be initially stressed. Fourier series expansion has been implemented to describe the irregular boundaries of the layer. Using appropriate boundary conditions a closed form dispersion and absorption relation for Love wave in the porous layer have been derived. The dispersion equation has been investigated extensively through numerical calculation for particular irregular interface to explore the effect of non dimensional average thickness and the periodic roughness of the boundaries on the phase velocity of Love wave. Also the effect of initial stress as well as the porosity on wave velocity is studied. A comparative study has been carried out through various graphs to study the consequence of different parameters on the phase velocity between porous and corresponding non porous layer. A close compliance is also established in some special cases to the existing solutions available from analytical methods.