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Theoretical Approaches on Water Waves Interactions with Porous Seabed
wave dispersion relationship
the inertia forces of soil
In the past few decades, considerable efforts have been devoted to the phenomenon of wave-seabed interaction. However, most previous works have been only concerned with the seabed response under the wave pressure, which was obtained from the assumption of a rigid seabed. In such approaches, the whole wave-seabed interaction cannot be fully investigated. The first aim of this study is to investigate the dynamic response of seabed to ocean surface waves. The inertia forces are considered in the whole problem. Based on Biot's poro-elastic theory, the problem of wave-seabed interaction is first treated analytically for a homogeneous bed of finite thickness. With the newly general solution of seabed response, a new wave dispersion relationship is obtained, in which the soil characteristics are included. Based on the numerical results presented in this study, it is found that the effects of soil parameters significantly affect the wave characteristics (such as the damping of water wave, wave length and wave pressure). Furthermore, the effects of inertia forces on the wave-induced seabed response cannot always be ignored under certain combination of wave and soil conditions. The second aim of this study is to further consider the effects of Coulomb-damping friction within the soil skeleton, which most previous investigations have neglected. In general, three types of elastic waves are induced in a seabed by the water wave: a shear waves and a compressional wave in the soil skeleton, and a compressional wave in the pore fluid. Since the shear wave plays an important role due to the low rigidity and permeability of the fine sand and clay, the effects of Coulomb-damping friction on the phenomenon of the wave-seabed interaction are indeed to be examined. The numerical results indicate that the Coulomb-damping effect significantly affects the wave-induced soil response in a soft seabed (such as fine sand and clay). Also, the wave characteristics have been significantly affected by the wave-induced seabed response, especially in the fine sand and clay.
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