A semi-empirical formula for wave attenuation over muddy bed under current

Wenang Xie*, Tomoya Shibayama

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution


Theoretical and laboratory studies are performed to analyze the wave attenuation phenomenon over fluid mud under current. In the theoretical part, a semi-empirical formula is derived to model the attenuation process under current. Based on the linear wave theory, the change of wave amplitude is related with the averaged damping effect of the muddy bed. By solving a differential equation, the exponential decay of the wave amplitude is confirmed. A function called damping function is used in the formula, and it is expanded into a series of wave parameters and some undetermined coefficients called auxiliary damping factors. Based on the assumption that the mud properties do not change under current, the formula is combined with the dispersion relation for linear wave under uniform current to describe the attenuation process under current. Laboratory experiments are conducted first without current. The data of wave attenuation are collected and inserted to the formula obtained in the theoretical analysis to figure out the values of the auxiliary damping factors. The second set of experiments is conducted under current and the collected data are compared with the calculated values obtained by using the newly proposed formula with the dispersion relation. The result of comparison shows good applicability of the new formula to the wave attenuation under current.

Original languageEnglish
Title of host publicationASIAN AND PACIFIC COASTS 2017
EditorsKyung-Duck Suh, Eric C Cruz, Yoshimitsu Tajima
PublisherWorld Scientific
Number of pages10
ISBN (Print)9789813233805
Publication statusPublished - 2018
Event9th International Conference on Asian and Pacific Coasts, APAC 2017 - Pasay, Philippines
Duration: 2017 Oct 192017 Oct 21

Publication series

NameProceedings of the 9th International Conference on APAC 2017


Other9th International Conference on Asian and Pacific Coasts, APAC 2017


  • Fluid mud
  • Semi-empirical formula
  • Wave attenuation

ASJC Scopus subject areas

  • Earth-Surface Processes
  • Oceanography


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