Author(s): Ismael Piedra Cueva

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Abstract: Motion within a soft muddy bottom under small amplitude wave action is briefly examined using an analytical approach to gain insight into the mechanism by which coastal mud responds to water waves. The bed is modelled as a viscoelastic body using the Voigt model. The model's results on interface shear stress and wave damping show acceptable agreement when compared to laboratory data. This model is an extension of the one developed by MacPherson [3], since it considers the continuity of the shear stress through the watermud interface, taking into account a thin water boundary layer upon the interface. It can be concluded that: a. the wave damping coefficient can be one or two orders higher than the one corresponding to the rigid bed theory, and it depends on the mud's elasticity; b. the interface shear stress can be higher or lower than the one calculated when the bed is considered rigid; and it depends on mud properties, wave frequency and mud depth; c. the system's resonance (i.e. when the interface and surface amplitude rate approaches 1) can occur when the elasticity is >0, and the peak frequency depends on the system's physical parameters.

DOI: https://doi.org/10.1080/00221689309498779

Year: 1993