Wave-induced responses of seabed with variable shear modulus

A plane strain analysis based on the generalized Biot's equation is utilized to investigate the wave-induced responses of a poro-elastic seabed with shear modulus increasing according to a continuous, bounded function of soil depth. By employing integral transform and Frobenius methods, the transient and steady solutions for the wave-induced pore water pressure, effective stresses and displacements are analytically derived in this study. The numerical results indicate that the inclusion of a variable shear modulus significantly improves the predictions of seabed responses. Moreover, it's shown that the distinction between the transient and steady responses should be taken into account for design of marine structures. Under the transient condition, the seabed is apt to transient liquefaction.