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Publisher DOI: 10.3390/w13060848
Title: Tidal oscillation and resonance in semi-closed estuaries : empirical analyses from the Elbe estuary, North Sea
Language: English
Authors: Hein, Sebastian S. V. 
Sohrt, Vanessa  
Nehlsen, Edgar  
Strotmann, Thomas 
Fröhle, Peter 
Keywords: clapotis;Elbe;estuary;tidal amplification;tidal constituents;tidal reflection;tidal resonance;tidal range;tide;quarter-wavelength criterion
Issue Date: 19-Mar-2021
Publisher: Multidisciplinary Digital Publishing Institute
Source: Water 13 (6): 848 (2021)
Journal or Series Name: Water 
Abstract (english): 
Many tidal influenced estuaries and coastal basins feature tidal amplification because of, e.g., convergence and reflection. Increasing amplification rates were observed in the Elbe estuary, with consequences for construction measures, nautical manoeuvring, flood protection, riverbed morphology and ecosystems. Although many studies were conducted investigating the tidal wave transformation in estuaries, studies based on spatially well-distributed empirical data covering periods over more than a year are rare. To fill this gap, a self-developed adapted harmonic analysis method of least squares was applied to hydrographs from 25 gauges, distributed over the tidal influenced estuary from the river mouth to the tidal border which is given by the weir 160 km upstream of the river mouth. The investigation period for the harmonic analyses covers a whole nodal cycle of 18.613 a beginning in the year 2000. The tidal constituents’ oscillatory behaviour including the appearance of compound tides, generated by nonlinear shallow water processes, and the formation of reflection induced partially standing waves are determined. The tidal constituents show shared frequency-group specific partial clapotis, but also have significant differences in amplification within those groups. The latter fact contributes to the detected inverse proportionality of tidal range amplification inside the estuary to incoming tidal wave height. As reflection can cause resonance in tidal influenced rivers, tests are developed to analyse whether criteria for resonance are met. To determine the system’s specific resonance frequency, a new method was introduced with the three-parameter Lorentzian curve-fitting. As the detected resonance frequency is not close to tidal frequencies, full-established resonance of the tidal wave and of the tidal constituents is not observed in the Elbe estuary. Migrating nodes of the partially standing tidal wave hint at increasing latent resonance.
DOI: 10.15480/882.3405
ISSN: 2073-4441
Other Identifiers: doi: 10.3390/w13060848
Institute: Wasserbau B-10 
Document Type: Article
Project: Reflexions- und Resonanzverhalten tide-dominierter Ästuare - Eine Analyse des Antwortverhaltens der Tideelbe auf die Gezeitenanregung Teilvorhaben Reflexion 
License: CC BY 4.0 (Attribution) CC BY 4.0 (Attribution)
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