Modeling of Mud-Wave Interaction: Mud-Induced Wave Transport & Wave- Induced Mud Transport.

摘要

This report describes the set-up and mathematical-physical formulations of a model simulating the interaction between soft mud deposits and waves. This model presumes a two-layer schematization, the lower layer consisting of liquefiable mud of high density and viscosity, and the upper layer of low viscous water. From an analytical solution of the 2L schematization the dispersion relation for the wave propagation and attenuation is derived, which can be re-written in the form of an energy dissipation term, implemented in SWAN (Delft3D-wave). Next, the radiation stresses are elaborated and added to the 2L schematization to account for wave-induced mud transport. Also a new rheological model has been proposed to describe liquefaction of soft mud by waves, and the subsequent strength recovery after the passage of the waves. A scheme is presented on how to implement these formulations in Delft3D.