Wave Damping in Reed: Field Measurements and Mathematical Modeling
Publication: Journal of Hydraulic Engineering
Volume 136, Issue 4
Abstract
Wave damping in vegetation in shallow lakes reduces resuspension and thereby improves the light climate and decreases nutrient recycling. In this study, wave transformation in reed (Phragmites australis) was measured in a shallow lake. Theoretical models of wave height decay, based on linear wave theory, and transformation of the probability density function (PDF), using a wave-by-wave approach, were developed and compared to the collected data. Field data showed an average decrease in wave height of within the first 5–14 m of the vegetation. Incident root-mean-square wave height was 1–8 cm. A species-specific drag coefficient was found to be about 9 (most probable range: 3–25). showed little correlation with a Reynolds number or a Keulegan-Carpenter number. The PDF for the wave heights did not change significantly, but for longer distances into the vegetation and higher waves it tended to be more similar to the developed transformed distribution than to a Rayleigh distribution. Relationships developed in this study can be employed for management purposes to reduce resuspension and erosion.
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Acknowledgments
We thank Per Falås for the help with field measurements and Revinge Bysamfällighet for providing us with boats. Kungliga Fysiografiska Sällskapet and Åke och Greta Lissheds Stiftelse contributed financially to the field equipment. We are also thankful for the comments from three anonymous reviewers, which significantly improved the report.
References
Asano, T., Deguchi, H., and Kobayashi, N. (1992). “Interaction between water waves and vegetation.” Proc., 23rd Coastal Eng. Conf., ASCE, Reston, Va., 2710–2723.
Battjes, J. A., and Janssen, J. P. F. M. (1978). “Energy loss and setup due to breaking of random waves.” Proc., 16th Coastal Eng. Conf., ASCE, Reston, Va., 569–587.
Blindow, I., Hargeby, A., and Andersson, G. (2002). “Seasonal changes of mechanisms maintaining clear water in a shallow lake with abundant Chara vegetation.” Aquat. Bot., 72, 315–334.
Chakrabarti, S. K. (1987). Hydrodynamics of offshore structures, Computational Mechanics/Springer, New York.
Coops, H., Geilen, N., Verheij, H. J., Boeters, R., and Velde, G. v. d. (1996). “Interactions between waves, bank erosion and emergent vegetation: an experimental study in a wave tank.” Aquat. Bot., 53, 187–198.
Dally, W. R. (1990). “Random breaking waves: A closed-form solution for planar beaches.” Coastal Eng., 14, 233–263.
Dalrymple, R. A., Kirby, J. T., and Hwang, P. A. (1984). “Wave diffraction due to areas of energy dissipation.” J. Waterway, Port, Coastal, Ocean Eng., 110(1), 67–79.
Dean, R. G., and Bender, C. J. (2006). “Static wave setup with emphasis on damping effects by vegetation and bottom friction.” Coastal Eng., 53, 149–156.
Fonseca, M. S., and Cahalan, J. A. (1992). “A preliminary evaluation of wave attenuation by four species of seagrass.” Estuarine Coastal Shelf Sci., 35, 565–576.
Franzini, J. B., and Finnemore, E. J. (1997). Fluid mechanics, McGraw-Hill, New York.
Hamilton, D. P., and Mitchell, S. F. (1996). “An empirical model for sediment resuspension in shallow lakes.” Hydrobiologia, 317, 209–220.
Hamilton, D. P., and Mitchell, S. F. (1997). “Wave-induced shear stresses, plant nutrients and chlorophyll in seven shallow lakes.” Freshwater Biol., 38, 159–168.
Horppila, J., and Nurminen, L. (2001). “The effect of an emergent macrophyte (Typha angustifolia) on sediment resuspension in a shallow north temperate lake.” Freshwater Biol., 46, 1447–1455.
Houwing, E. J., Tánczos, I. C., Kroon, A., and de Vries, M. B. (2002). “Interaction of submerged vegetation, hydrodynamics and turbidity: Analysis of field and laboratory studies.” Proc. Marine Sci., 5, 441–453.
Knutson, P. L., Bronchu, R. A., and Seelig, W. N. (1982). “Wave damping in Spartina alterniflora marshes.” Wetlands, 2(1), 87–104.
Kobayashi, N., Raichle, A. W., and Asano, T. (1993). “Wave attenuation by vegetation.” J. Waterway, Port, Coastal, Ocean Eng., 119(1), 30–48.
Larson, M. (1995). “Model for decay of random waves in surf zone.” J. Waterway, Port, Coastal, Ocean Eng., 121(1), 1–12.
Leonard, L. A., and Reed, D. J. (2002). “Hydrodynamics and sediment transport through tidal marsh canopies.” J. Coastal Res., 36, 459–469.
Løvås, S. M. (2000). “Hydro-physical conditions in kelp forests and the effect on wave damping and dune erosion.” Ph.D. thesis, The Norwegian Univ. of Science and Technology, Trondheim.
Massel, S. R., Furukawa, K., and Brinkman, R. M. (1999). “Surface wave propagation in mangrove forests.” Fluid Dyn. Res., 24, 219–249.
Mazda, Y., Magi, M., Ikeda, Y., Kurokawa, T., and Asano, T. (2006). “Wave reduction in a mangrove forest dominated by Sonneratia sp.” Wetlands Ecol. Manage., 14, 365–378.
Mazda, Y., Wolanski, E., King, B., Sase, A., Ohtsuka, D., and Michimasa, M. (1997). “Drag force due to vegetation in mangrove swamps.” Mangroves Salt Marshes, 1, 193–199.
Mendez, F. J., and Losada, I. J. (2004). “An empirical model to estimate the propagation of random breaking and nonbreaking waves over vegetation fields.” Coastal Eng., 51, 103–118.
Möller, I. (2006). “Quantifying saltmarsh vegetation and its effect on wave height dissipation: Results from a UK east coast saltmarsh.” Estuarine Coastal Shelf Sci., 69, 337–351.
Möller, I., and Spencer, T. (2002). “Wave dissipation over macro-tidal saltmarshes: Effects of marsh edge typology and vegetation change.” J. Coastal Res., 36, 506–521.
Nepf, H. M. (1999). “Drag, turbulence, and diffusion in flow through emergent vegetation.” Water Resour. Res., 35, 479–489.
Nielsen, P. (1992). “Coastal bottom boundary layers and sediment transport.” Advanced series on ocean engineering, World Scientific, Singapore.
Ota, T., Kobayashi, N., and Kirby, J. T. (2005). “Wave and current interactions with vegetation.” Proc,. 29th Int. Conf. Coastal Engineering 2004, ASCE, Reston, Va., 508–520.
Quartel, S., Kroon, A., Augustinus, P. G. E. F., Van Santen, P., and Tri, N. H. (2007). “Wave attenuation in coastal mangroves in the Red River Delta, Vietnam.” J. Asian Earth Sci., 29, 576–584.
Rasmussen, P., and Anderson, N. J. (2005). “Natural and anthropogenic forcing of aquatic macrophyte development in a shallow Danish lake during the last 7000 years.” J. Biogeogr., 32, 1993–2005.
Scheffer, M., Hosper, S. H., Meijer, M. -L., Moss, B., and Jeppesen, E. (1993). “Alternative equilibria in shallow lakes.” Trends Ecol. Evol., 8, 275–279.
Tanino, Y., and Nepf, H. M. (2008). “Laboratory investigation of mean drag in a random array of rigid, emergent cylinders.” J. Hydraul. Eng., 134(1), 34–41.
Teeter, A. M., et al. (2001). “Hydrodynamic and sediment transport modeling with emphasis on shallow-water, vegetated areas (lakes, reservoirs, estuaries and lagoons).” Hydrobiologia, 444, 1–23.
Thornton, E. B., and Guza, R. T. (1983). “Transformation of wave height distribution.” J. Geophys. Res., 88(C10), 5925–5938.
U.S. Army Coastal Engineering Research Center. (1984). Shore protection manual, Dept. of the Army, Waterways Experiment Station, Corps of Engineers, Coastal Engineering Research Center, Washington, D.C.
Young, I. R., and Verhagen, L. A. (1996). “The growth of fetch limited waves in water of finite depth. Part 1: Total energy and peak frequency.” Coastal Eng., 29, 47–78.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 136 • Issue 4 • April 2010
Pages: 222 - 233
Copyright
© 2010 ASCE.
History
Received: Jan 28, 2008
Accepted: Sep 10, 2009
Published online: Oct 3, 2009
Published in print: Apr 2010
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