The Influence of the Inverted Sea Wave Theories on the Derivation of Coastal Bathymetry

The application of a radar-based depth inversion method to monitor near-shore nourishments on an open sandy coast and an ebb-tidal delta

“…For the site of Duck (North Carolina, US) with depths up to 6 m, Trizna (2001) reported depth errors of 0 to 4 m depending on the wave-height and suggested that the inclusion of non-linear wave theory improves estimates. This was then disproven by Flampouris et al (2011) who, for a site near the Wadden Sea island Sylt (GE), reported root-mean-squareerrors (RMSE) of at least 1.6 m regardless of the (non-)linear wave theory used.…”

A Feasibility Study of Nearshore Bathymetry Estimation via Short-Range K-Band MIMO Radar

“…However, it should be stressed that the herein presented results were achieved with the use of a linear dispersion relation in shallow waters, which may introduce some estimation errors. In fact, the linear dispersion relation in shallower area may become not very accurate due to the presence of wave breaking leading to an error exceeding 30% for the estimated bathymetry [55,56].…”

Remote Sensing of the Nearshore

“…This approach was first explored using airborne image sequences in World War II (Williams 1947), and while suitable for the idealized monochromatic waves of a laboratory, it was found to be much too sensitive to noise issues for natural random seas. Since then, considerable effort has gone into examining the limitations of the above model (e.g., Grilli 1998, Misra et al 2003, Flampouris et al 2011 and quantifying the inherent level of accuracy provided by remote sensing data in bathymetric inversion (a) Accurately measured bathymetry and (b) estimated bathymetry computed using the cBathy algorithm and optical observations, along with (c) the differences between the two. The central region, 400 m < y < 600 m, includes a pier that obscures the optical view and so is omitted from statistical analysis.…”