CAPÍTULO 2: LEYENDAS REPRESENTATIVAS DE LA PROVINCIA DE
2.2 LEYENDAS DEL CANTÓN GUANO
At the start of this research three research questions were formulated. The first question is: How do the salt marshes in the eastern Wadden Sea affect the wave conditions at the dike under design conditions? The answer to this question is determined in 1D and 2D for both the measured storm of January 11th 2015 and the local design conditions. The influence of the vegetated foreshore is significant. Comparing the significant wave height at the toe of the dike at the salt marsh with locations without vegetation and a lower bed level, the difference in for 𝐻𝑚0 near the dike is between 27% and 36% for the 1/4000 year storm. The salt marsh also lowers the wave period 𝑇𝑚−1,0 which leads to a lower wave run-up. The 2% wave run-up is decreased by up to 41% due to the presence of the salt marsh.
The vegetation on the salt marshes is important for the amount of wave damping. Vegetation reduces the significant wave height by an additional 15% and 50% compared to a foreshore without vegetation. The bed level found in front of the dike also has a large influence on the waves for two reasons. Firstly because the reduced water depths cause the larger waves to break, limiting the height of the waves reaching the dike. Secondly, bed levels above the mean flood level are required for the type of vegetation found on the salt marshes.
The results suggest that the current extent of the vegetation at the test site in seaward direction is sufficient. The first reason for this is the fact that the significant wave height is dampened only slightly close to the dike, which means that the situation is close to an equilibrium between the wind which adds energy the waves, and the dissipative terms. The second reason is that extending the marsh further into sea by 1500 meters results in limited additional wave damping.
The second research question was: Can flotsam measurements serve as field evidence for wave run-up reduction by vegetated foreshores? To answer this, the flotsam measurements were compared with the foreshore bed level and the extent of the vegetation (or: the distance from dike to the edge or the marsh). These parameters represent the variation in the
vegetated foreshores. The correlation between the foreshore bed level and the extent of the vegetation is high, which confirms that the two are related since the vegetation requires a certain bed level and vegetation improves sedimentation. The vegetation extent and bed level are highly correlated to the flotsam level, reducing the flotsam level when the other parameters increase. Due to the high correlation between the flotsam level and the
vegetated foreshore characteristics and the knowledge that the flotsam levels are determined by the local maximum wave run-up, it is possible to say that the flotsam levels can certainly serve as an indicator for the run-up reduction by vegetated foreshores.
64 The final research question was: Can flotsam measurements be approximated using a 2D wave model? The 2D model which was created in this research was used to determine the water level and wave conditions near the dike for all flotsam measurements. Using this information, the local maximum wave run-up could be determined (Chapter 5). The pattern found in the flotsam measurements could be reproduced well. The values of individual measurements were replicated with the maximum wave run-up calculations, but only when taking both measurement (±0.4 m) and model uncertainties into account (±20%). This means that the flotsam levels can be approximated using a 2D model and are useful as an indicator of local wave conditions but cannot be used to calibrate a 2D model due to the seeming inherent uncertainties related to the flotsam levels.
It is possible to make several recommendations based on this thesis for future research. Firstly it is very interesting to investigate the influence of the method to schematize vegetation. In the 1D model it became clear that when extrapolating from a calibrated situation to the design conditions, the ‘vegetation as additional bed friction method’ leads to less dissipation than the vertical cylinders method. However, the vertical cylinders method is not yet available in Delft3D-WAVE and could therefore not be tested. This can be overcome by replacing the version of SWAN manually and entering the SWAN commands via a separate script. The alternative is to wait for Delft3D to incorporate these features into the standard version which will likely be available at some point in the future.
Secondly, it would be interesting to compare the calibrated models for different storms. This must be done by placing pressure sensors on the salt-marsh to measure the wave
conditions, since wave measurements on the salt marshes are normally not performed. It is important to measure two storms within a time period where the vegetation characteristics changes are limited. By validating the model against a second storm, the dissipation by vegetation can be estimated with more certainty, leading to a higher confidence when scaling the model to the design conditions.
Thirdly, the schematization of the vegetation is based on a single biomass measurement of the vegetation and estimation from literature and photos. Having more and more accurate measurements of the vegetation could possibly add a lot of detail to the schematization of the vegetation. The values that should be determined are the average stem diameter, vegetation height and the biomass.
Finally, all wave calculations were performed in stationary mode. Comparing what the difference in 𝐻𝑚0 is in the two approaches would be interesting.
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References
Adema, J., Geleynse, N., & Telenta, B. (2014). Een rekenexperiment voor de waddenzee, de storm van 5 & 6 december 2013.
Anderson, M. E., & Smith, J. M. (2014). Wave attenuation by flexible, idealized salt marsh vegetation. Coastal Engineering, 83, 82–92.
Bradley, K., & Houser, C. (2009). Relative velocity of seagrass blades: Implications for wave attenuation in low-energy environments. Journal of Geophysical Research: Earth Surface, 114.
Buckley, M., & Lowe, R. (2013). Evalution of nearshore wave models in steep reef environments. Coastal Dynamics, 249–260.
Butler, L. D., Cropper, J. B., Johnson, R. H., Norman, A. J., Peacock, G. L., Shaver, P. L., & Spaeth, K. E. (2006). National range and pasture handbook. USDA.
Collins, J. I. (1972). Prediction of shallow-water spectra. Journal of Geophysical Research.
Cronin, K., & Bing Wang, Z. (2012). Analyse lidar data voor het Friesche Zeegat. Deltares.
De Reus, J. H. (1983). Reactie op het rapport: Analyse van vloedmerkwaarnemingen op de dijk onder Hollum op Ameland. Rijkswaterstaat.
Dijkema, K. S., Duin, W. E. Van, Dijkman, E. M., & Leeuwen, P. W. Van. (2007). Monitoring van kwelders in de Waddenzee. Wageningen.
Dissanayake, P., Kurunarathna, H., & Ranasinghe, R. (2015). Numerical modelling on sea level rise on large tidal inlet/basin systems. In E-Proceedings of the 36th IAHR World Congress (pp. 1–9). The Hague.
Donker, J. (2015). Hydrodynamic processes and the stability of intertidal mussel beds in the Dutch Wadden Sea. University of Utrecht.
Eldeberky, Y., & Battjes, J. A. (1996). Spectral modeling of wave breaking: Application to Boussinesq equations. Journal of Geophysical Research.
EurOtop. (2007). Wave overtopping of sea defences and related structures: Assessment manual.
Fischenich, C., & Dudley, S. (1999). Determining drag coefficients and area for vegetation. Ecosystem Management and Restoraton Research Program, 2(2).
Grüne, J. (2005). Evaluation of wave climate parameters from benchmarking flotsam levels. International Conference on Coastlines, Structures and Breakwaters, 1–10.
Hasselmann, K., Barnett, T. P., Bouws, E., Carlson, H., Cartwright, D. E., Enke, K., … Walden, H. (1973). Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP). Ergänzungsheft Zur Deutschen
66 Hasselmann, K., & Collins, J. I. (1968). Spectral dissipation of finite depth gravity waves due
to turbulent bottom friction. Journal of Maritime Research, 26, 1–12.
Holthuijsen, L. (2007). Waves in oceanic and coastal waters. Oceanography.
Horstman, E. M., Dohmen-Janssen, C. M., Narra, P. M. F., van den Berg, N. J. F., Siemerink, M., & Hulscher, S. J. M. H. (2014). Wave attenuation in mangroves: A quantitative approach to field observations. Coastal Engineering, 94, 47–62.
Hu, Z., Stive, M. J. F., & Zitman, T. J. (2012). Drag coefficient of vegetation in flow modeling. Coastal Engineering Proceedings. Delft University of Technology.
Hwang, P. A. (2005). Temporal and spatial variation of the drag coefficient of a developing sea under steady wind-forcing. Journal of Geophysical Research, 110.
IJnsen, F. (1983). Analyse van vloedmerkwaarnemingen op de dijk onder Hollum op Ameland. Rijkswaterstaat.
Kaminsky, G. M., & Kraus, N. C. (1993). Evaluation of depth-limited wave breaking criteria. In Proceedings of 2nd International Symposium on Ocean Wave Measurement and
Analysis (pp. 180–193).
Lövstedt, C. B., & Larson, M. (2010). Wave damping in reed: Field measurements and mathematical modeling. Journal of Hydraulic Engineering, 136, 222–233.
Madsen, O., Poon, Y., & Graber, H. (1988). Spectral wave attenuation by bottom friction. Coastal Engineering, 492–504.
Mendez, F. J., & Losada, I. J. (2004). An empirical model to estimate the propagation of random breaking and nonbreaking waves over vegetation fields. Coastal Engineering, 51, 103–118.
Padilla-Hernández, R., & Monbaliu, J. (2001). Energy balance of wind waves as a function of the bottom friction formulation. Coastal Engineering, 43, 131–148.
Ridderinkhof, H. (1990). Residual currents and mixing in the Wadden Sea. University of Utrecht.
Smale, A. (2010). Hindcast of the flotsam levels of the 1 November 2006 storm in the Eastern Wadden Sea. Witteveen+Bos.
Smith, J. (2004). Shallow-water spectral shapes. In 29th International Conference Coastal Engineering (pp. 206–217).
Venema, J. E., Schelfhout, H. A., Moerman, E., & van Duren, L. A. (2012). Kwelders en dijkveiligheid in het Waddengebied.
Walker, R. (2014). SI materials. Retrieved July 1, 2015, from www.simetric.co.uk/si_materials.htm
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