Comments on Existing Analytical Solutions to the Wave-Induced Cyclic Response of a Porous Seabed of Infinite Thickness

Abstract

This paper deals with the wave-induced cyclic response of a porous seabed (by means of oscillating parameters: pore-fluid pressure, soil displacement components, effective normal stress and shear stress components) due to a surface sinusoidal water-wave propagating over a seabed of infinite thickness. The main existing analytical solutions to the governing problem are critically discussed, pointing out their meaningful errors and doubtful items. A phase-lag phenomena is particularly studied as an immanent part of any complex-valued analytical solutions having a cyclic nature.

Keywords

• porous seabed
• infinite seabed thickness
• cyclic response
• soil saturation
• sinusoidal progressive wave
• phase-lag phenomenon
• analytical solutions