Abstract
This paper addresses the characteristics of shear waves in a transversely isotropic poroelastic layer under a free or rigid boundary and lying over an elastic layer. Based on Biot’s theory, the dispersion equation for shear waves was derived analytically, taking boundary conditions and geometry into account. Detailed numerical simulations are provided to illustrate graphically the phase and group velocities plotted against the dimensionless wave number. Such illustrations allow the identification and comparison of the effects of the thickness ratio of the layer, two different boundary conditions, porosity, and anisotropy. It was observed that the phase and group velocities increase as thickness ratio and porosity increase. In addition, the phase and group velocities increase or decrease as anisotropy increases. In the rigid boundary condition, phase velocity increases to a greater extent than it does in the free boundary condition.
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