Abstract
Problem statement: Characteristics of the seismic waves have been studied mainly the amplitudes, attenuation, frequency, porosity and the velocity of the waves. In this study, the SH-waves were studied for the diffusion which was related to the diffraction of SH-waves in the saturated medium. Approach: The elastic wave equation was being used to show the SH-waves. A comparison was made of the propagating SH-waves in the fluid-saturated mediums that were categorized into two distinct groups: Insoluble and soluble mediums. Results: The discussions on fluid density in the mediums showed that high density fluid promotes diffusive characteristic while low density fluid endorses non diffusive SH-wave. However, the diffraction had induced significant shock wave in the medium saturated with low density fluid. Conclusion: These results indicated that the linear seismic waves are able to transform into nonlinear waves.
Highlights
Seismic waves are well-known for being the plane waves
P, SV and SH-waves are the seismic plane waves that are generated during the quake
The studies show that the SH-waves in soluble medium are non-diffusive plane waves
Summary
P-, SV and SH-waves are the seismic plane waves that are generated during the quake. The dissipation of SH-wave in piezoelectric media was studied (Du et al, 2009). Biot’s theory is implied for studying SH-waves especially the fluid saturated porous media (Ghorai et al, 2009). The dependence of P- and S-wave attenuation to strain amplitude and frequency in saturated medium is done (Mashinskii, 2009). Effects of saturation on the velocities of P- and S-waves in several type of soil are studied and the outcomes show that the velocity is higher in dense sand. The thickness of the porous medium is related to the frequency of the waves. This study aims to probe the connection of SH-waves refraction velocity and the attenuation. Some figures will be plotted to give better viewing pleasure
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