Analysis of Love Waves in an Initially Stressed Transversely Isotropic Porous Layer Over Heterogeneous Half Space with Parabolic Irregularity

The primary focus of this research article is to analyze the propagation of Love waves in an initially stressed transversely isotropic fluid-saturated porous layer resting over a non-homogenous elastic half-space with irregularity at the interface of porous layer and half space. The irregularity has been taken in the form of parabola.

Biot’s theory of elasticity is used to find the equation of motion for each medium for the considered model. Fourier and inverse Fourier transformations has been applied to solve the system of differential equations followed by Eringen’s perturbation method to obtain the dispersion equation for Love waves propagating in transversely isotropic fluid saturated porous layer.

The dispersion equation have been plotted graphically by using MATLAB graphical routines illustrating the dimensionless phase velocity curve against the dimensionless wave number for different values of the inhomogeneity parameter, initial stress, along with different ratios of the depth of the irregularity to the height of the layer.

The numerical calculations and their graphical representations reveal that the phase velocity of Love wave is affected by various parameters, such as inhomogeneity parameter, initial stress, wavenumber, irregularity shape and size, and the ratio of the depth of the irregularity to height of the layer.