Scale dependency of dune erosion models
Scale dependency of dune erosion models
复制标题
沙丘侵蚀模型的尺度依赖性
DOI:
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发表时间:
2011
期刊:
影响因子:
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通讯作者:
J. Ribberink
中科院分区:
文献类型:
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作者:
P. Brandenburg;J. T. D. Vries;K. Wijnberg;J. Ribberink
This report represents a study to the scalability of the dune erosion models. Dune erosion models are used for the safety assessment of the sandy dunes of the Dutch coast. Presently, the safety assessment is based on the relatively simple cross-shore dune erosion model DUROS. The empirical DUROS-model is designed for alongshore uniform coastlines. Since the DUROS-model is not qualified to assess storm impact in complex cases, a more generic model that includes the long-shore dimension can be a helpful instrument. In this study the DUROS-model is compared with the generic model XBeach. The XBeach-model contains a physical description of the most important processes that are of relevance to dune erosion in both cross-shore and long-shore direction. As the dunes are assessed to normative conditions that have never occurred, most models are based on laboratory experiments. Since DUROS and XBeach are based on the same lab experiments but predict different storm impact on real scale (DUROS estimates 40% more dune erosion), the lab-prototype conversion in the two models is different. The above problem led to the next objective: getting a better understanding of the underlying causes for differences in storm impact predictions by DUROS and XBeach. From the objective, two research questions were formulated: What causes the difference in storm impact predicted by DUROS and XBeach for reference conditions? And what consequences do these differences in storm impact have on the prediction for prototype scale? In order to answer these questions, the laboratory results of a series of lab experiments (M1263) and a field case are studied. The research project M1263 contains 26 laboratory experiments on various scales over a range of 590. These experiments are chosen because the current DUROS-model was constructed with the results of these experiments. Secondly, a field case storm is investigated, the ’76 storm surge. The DUROS-model and the XBeach-model are applied to both cases. When analyzing the M1263 experiments, the model distortion and the applied grain size were found to be very important for the intensity of dune erosion. The laboratory experiments were carried out by Vellinga and Van de Graaff in the late ’80. During the research program, a scaling rule was developed, in which the distortion rate (nd/nl) is a function of the lab scale (nd) and the sediment fall velocity (nws). The scaling rule was created with the goal to converse erosion amounts between various scales. The DUROS-model was created with this relation and the experimental results. The DUROS-model is very well capable of reproducing the large-scale experiments. However when applying the model to small-scale experiments, it was found that the model lacks performance, caused by incorrect simulation of the run-up zone. After implementing the run-up zone in the model (DUROS research version), the new model shows consistent (good) performance for all scales. The XBeach-model shows also good performance for large-scale experiments, but performs insufficient for small-scale. Since the model is process-based, it was chosen to adjust numerical parameters in order to be able to reproduce small-scale experiments. Six parameters were introduced that need to be changed for different scales: Three parameters of the avalanche model (dzmax, wetslp and hswitch), a cut-off water depth for the Stokes drift included return flow (hmin), a cut-off water depth for sediment transport (eps) and the near-bed turbulence (turb). The changes altogether lead to a model improvement of BSS≈0 to BSS≈0.5 for small-scale experiments. A better performance (BSS≥0.8) is obtained when the transport formulations in the model are adjusted. 25 November 2010, final Scale dependency of dune erosion models iii In the field case of the ’76 storm three transects of the Dutch coast are chosen: Julianadorp, Bergen aan Zee and Castricum. The two models perform similar for the three cases in terms of predicted erosion amount. That the models predict differently for the reference case and for relatively ‘calm’ conditions, implies that the sensitivity of both models is different. A sensitivity analysis to the hydrodynamic and morphdynamic boundary conditions showed that the XBeachmodel is less sensitive to the surge level, the sediment size and the steepness of the initial profile, compared to DUROS. DUROS is less sensitive to the wave period and for the wave height the sensitivities are fairly similar. The two revised models showed a better performance for the experiments on various lab scales. For the prototype application the changes led to less difference between DUROS and XBeach.