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Modelling bathymetry changes within a waterway versus a laboratory experiment

Sawczyński S., Kaczmarek L. M., Biegowski J.

Technical Sciences / University of Warmia and Mazury in Olsztyn

2013

nr 16(1)

41--62

A three-layer theoretical model for transport of graded sediments was used in our analysis of the silting-up of waterways tested under laboratory conditions. The experiment was conducted in a laboratory basin, in which waves and a current were generated. The current interacted with the waves propagating perpendicularly to the direction in which it was flowing. It was assumed in the calculations that the sediment was entrained from the bed and suspended due to the impact of waves on the bed, after which it was transported by the current along the cross-shore profile of the navigation channel. Thus, it was assumed that the bathymetry changes occur only as a result of changes in the suspended load transport rate. The bed topographic modifications modelling results are in good agreement to the laboratory experimental results, including the rate of silting up the waterway and the bed reconfiguration. The key factor in the calculations concerning the waterway bed reconfiguration proved to be the inclusion of the effect of sediment size sorting on predicting the rate and character of bathymetry changes.

Bathymetry Changes and Sand Sorting During Sedimentation of Waterways. Part 1 - Conservation of Sediment Mass

Kaczmarek L. M., Sawczyński S., Biegowski J.

Technical Sciences / University of Warmia and Mazury in Olsztyn

2011

nr 14(2)

153-170

In this paper, an equation has been derived from the principle of mass conservation which enables us to produce mathematical description of changes in the seabed bathymetry in time and space. A detailed analysis of this equation has been made in the context of dependence between transport intensity and thickness of densely packed sand grains in sediment being in motion. For the condition when sediment transport is in hydrodynamic equilibrium, i.e. when the flux of sediments falling on the bed is offset by the flux of sediments lifted from the bed, it has been suggested to describe this dependence in the form of a linear function, a proposal which later was verified experimentally. In the mathematical description of changes in the seabed bathymetry, a clear distinction has been made between sediment transport in the positive, onshore direction and transport in the negative, offshore direction, associated, respectively, with sediment transport during the wave crest and wave trough phases.

Na podstawie zasady zachowania masy wyprowadzono równanie służące do matematycznego opisu zmian batymetrii dna w czasie i przestrzeni. Szczegółowo przeanalizowano równanie ze względu na zależność między natężeniem transportu a miąższością gęsto upakowanych ziaren będącego w ruchu rumowiska. Dla warunku, kiedy transport osadu znajduje się w równowadze hydrodynamicznej, tj. kiedy strumień osadów opadających na dno jest równoważony strumieniem osadów podrywanych z dna, zaproponowano opis tej zależności w postaci funkcji liniowej, którą następnie potwierdzono wynikami z eksperymentu laboratoryjnego. Przedyskutowano także efekty związane z nieliniową postacią tej zależności. W opisie matematycznym zmian batymetrii dna wyraźnie podzielono transport osadów na transport w kierunku dodatnim - dobrzegowym, i ujemnym odbrzegowym, związany z transportem rumowiska odpowiednio w fazie grzbietu i doliny fali.