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EurOCEAN 2000 - Vlaams Instituut voor de Zee

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liquefaction (e.g. induced by wave action). The mo<strong>de</strong>l allows the implementation of more<br />

realistic constitutive rheological equations (i.e. stress – strain relationships).<br />

With regard to <strong>de</strong>position/ erosion the use of a new empirical stress – <strong>de</strong>nsity relationship has<br />

been proposed which accounts for the fact that no strength is <strong>de</strong>veloped below the gelling point<br />

of the mud. The erosion rate parameter is proposed to be a function of the bed surface <strong>de</strong>nsity.<br />

For <strong>de</strong>position the total settling flux is consi<strong>de</strong>red, i.e. no critical stress for <strong>de</strong>position. In or<strong>de</strong>r<br />

to distinguish between the settling sediment, which attaches to the bed and the <strong>de</strong>posited<br />

sediment which remains mobile and can readily be entrained, the erosion law has been<br />

generalised.<br />

Applied mo<strong>de</strong>lling<br />

The goal of the “Applied Mo<strong>de</strong>lling” was to provi<strong>de</strong> results using numerical mo<strong>de</strong>ls, including<br />

the knowledge resulting from the theoretical aspects of the project. For this purpose, various<br />

test cases have been <strong>de</strong>fined, in or<strong>de</strong>r to test and validate the new formulations, and to compare<br />

the different numerical mo<strong>de</strong>ls. The final goal is to apply the mo<strong>de</strong>ls to the cases of real<br />

estuaries, to show their capability to reproduce actual cohesive sediment phenomena.<br />

The first test case is a one-dimensional vertical case, <strong>de</strong>signed to compare the mo<strong>de</strong>ls regarding<br />

vertical processes, and particularly the mo<strong>de</strong>lling of turbulence damping by suspen<strong>de</strong>d<br />

sediment. Several sets of conditions for hydrodynamics and sediment have been tested. The<br />

computed results show that stratification and saturation effects are very sensitive to the choice<br />

of damping functions. It appears, looking at the viscosity and diffusivity profiles, that the<br />

influence of the shear velocity at the bottom is an important parameter to make correct<br />

sediment transport predictions. However, theoretical work has shown that the shear velocity is<br />

not correctly estimated by traditional methods when sediment is involved. Therefore a new<br />

formulation has been proposed.<br />

Experimental and theoretical studies of flocculation processes have produced new information,<br />

which has been used to <strong>de</strong>velop parameterisations of the sediment settling velocity. Several<br />

approaches exist, which have been implemented in the one-dimensional mo<strong>de</strong>l. Comparisons<br />

and sensitivity tests have been carried out. On the other hand, the effects of entrainment of bed<br />

materials, resulting from the instability of the lutocline, have also been examined. A<br />

parameterisation has been established, which has been tested in the numerical mo<strong>de</strong>ls.<br />

Similarly, the results of <strong>de</strong>tailed studies of bed properties have been used to consi<strong>de</strong>r<br />

parameterised representations of the bed. There are two main aspects to this: consolidation of<br />

bed <strong>de</strong>posits and erosion. The mo<strong>de</strong>l <strong>de</strong>veloped for consolidation is a variant of the Gibson<br />

equation based on a fractal representation of the floc structure (Winterwerp, 1999). It has been<br />

tested in the one-dimensional mo<strong>de</strong>l. Resistance of the bed to erosion is a crucial parameter in<br />

the mo<strong>de</strong>lling of cohesive sediment transport, but less well un<strong>de</strong>rstood. Based on experimental<br />

results and theory new formulations have been proposed and incorporated in the mo<strong>de</strong>l<br />

parameterisation.<br />

Simulations have been carried out with a second test case, a schematic estuary, consi<strong>de</strong>red as a<br />

two-dimensional vertical mo<strong>de</strong>l. The results will prove the ability of the parameterisation<br />

<strong>de</strong>veloped to represent correctly the cohesive sediment processes when including advection<br />

and realistic estuarine processes, such as unsteady tidal hydrodynamic forcing, river<br />

discharges, and stratification due to salinity.<br />

Finally, simulations have been carried out in the cases of three different real estuaries: the<br />

Weser, the Tamar, and the Loire estuaries. To validate the mo<strong>de</strong>l results, these are compared<br />

with extensive experimental data from the three estuaries, partly collected during the project.<br />

The comparison between the mo<strong>de</strong>ls results and these experimental data show that it is now<br />

possible to predict cohesive sediment processes correctly in real estuaries.<br />

All data have been stored in a data base, which is accessible to the public.<br />

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