Resuspension and transport of fine sediments by waves over a thin layer of viscoelastic mud with erosion

A mathematical model for the one-dimensional mass transport describing the concentration evolution of suspended sediments over a viscoelastic mud layer in the presence of erosion is presented. Using a perturbation method, the problem is set in terms of the concentration of particles at the water–mud interface. Numerical results show considerable difference from the cases of rigid and non-erodible interfaces. A singular behaviour of the particles concentration is observed when the mud depth approaches a resonant value, associated with negative convection velocity.