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Typical equilibrium beach profile models and their significances from different segments of a headland-bay beach

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Abstract

This study introduces three typical models on equilibrium beach profile, and discusses the application limitations of these models. Then this study examines the selections for applying these models on different coastal segments of a headland-bay beach in west Guangdong, South China, and explores the physical significances of those parameters in the models. The results indicate that: (1) Bodge’s model is more in line with the equilibrium beach profile of the tangential or transitional segment, whereas Lee’s model is more consistent with the shadow profile; (2) most of the parameters in three models have clear physical significances in accordance with the actual characteristics of this headland-bay beach; and (3) both the selections for the equilibrium beach profile from different segments and significances of most of the parameters in three models are in essence correlated with the morphodynamic states at various coastal locations.

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References

  • Bodge, K. R., 1992. Representing equilibrium beach profiles with an exponential expression, J. Coastal Res., 8(1): 47–55.

    Google Scholar 

  • Boon, J. D. and Green, M. O., 1988. Caribbean beach-face slopes and beach equilibrium profiles, Proceedings of the 21st Conference on Coastal Engineering, Torremolinos, Spain, 1618–1630.

    Google Scholar 

  • Bowen, A. J., 1980. Simple models of nearshore sedimentation: Beach profiles and longshore bars, in: McCann, S. B. (Ed.), The Coastline of Canada, Geological Survey of Canada, 80-10, 1–11.

    Google Scholar 

  • Bruun, P., 1954. Coast Erosion and the Development of Beach Profiles, Beach Erosion Board Technical Memorandum, 44, US Army Engineer Waterway, Experiment Station, Vicksburg, Mississippi.

    Google Scholar 

  • Chen, Z. S. and Li, C. C., 1993. Geomorphological states of beach profiles in an arc-shaped shore of Shuidong, Western Guangdong, Tropic Oceanology, 12(2): 61–68. (in Chinese)

    Google Scholar 

  • Chen, Z. S., 1996. An analysis on the characteristics of equilibrium nearshore profile in a wave dominated arc-shaped bay, Tropic Oceanology, 15(1): 17–23. (in Chinese)

    Google Scholar 

  • Chen, Z. S., 1997. Progress in studies on the shapes and dynamics of beach profiles, Marine Science Bulletin, 16(1): 86–91. (in Chinese)

    Google Scholar 

  • Cialone, M. A., 1994. The Coastal Modeling System (CMS): A coastal processes software package, J. Coastal Res., 10(3): 576–587.

    Google Scholar 

  • Dai, Z. J., Du, J. Z., Li, C. C. and Chen, Z. S., 2007. The configuration of equilibrium beach profile in South China, Geomorphology, 86(3-4): 441–454.

    Article  Google Scholar 

  • Dean, R. G., 1977. Equilibrium Beach Profiles: US Atlantic and Gulf Coasts, Ocean Engineering Report 12, University of Delaware, Newark, DE.

    Google Scholar 

  • Dean, R. G., 1987. Coastal sediment processes: Toward engineering solutions, Proceedings of a Specialty Conference on Advances in Understanding of Coastal Sediment Processes (Coastal Sediments'87), New Orleans, LA,USA, 1–24.

    Google Scholar 

  • Dean, R. G., 1991. Equilibrium beach profiles: Characteristics and applications, J. Coastal Res., 7(1): 53–84.

    Google Scholar 

  • Dong, P., 2008. Long-term equilibrium beach profile based on maximum information entropy concept, J. Waterw. Port Coast. Ocean Eng., ASCE, 134(3): 160–165.

    Article  Google Scholar 

  • Elko, N. A. and Wang, P., 2007. Temporal and spatial scales of profile and planform adjustment on a nourished beach, Proceedings of the 6th International Symposium on Coastal Engineering and Science of Coastal Sediment Process (Coastal Sediments'07), New Orleans, LA,USA, 378–391.

    Google Scholar 

  • Fenneman, N. M., 1902. Development of the profile of equilibrium of the sub-aqueous shore terrace, The Journal of Geology, 10(1): 1–32.

    Article  Google Scholar 

  • González, M. and Medina, R., 1999. Equilibrium shoreline response behind a single offshore breakwater, Proceedings of the 4th International Symposium on Coasting Engineering and Science of Coastal Sediment Processes (Coastal Sediments'99), Hauppauge, New York, USA, 844–859.

    Google Scholar 

  • González, M., Medina, R. and Losada, M., 2010. On the design of beach nourishment projects using static equilibrium concepts: Application to the Spanish coast, Coast. Eng., 57(2): 227–240.

    Article  Google Scholar 

  • Hanson, H. and Kraus, N. C., 1989. GENESIS: Generalized Model for Simulating Change, Report 1: Reference Manual and User Guide, Technical Report CERC, U.S. Army Engineer Waterways Experimental Station, Coastal Engineer Research Center, Vicksburg, Mississippi, 19–89.

    Google Scholar 

  • Hayden, B., Felder, W., Fisher, J., Resion, D., Vincent, L. and Dolan, R., 1975. Systematic Variations in Inshore Bathymetry, Technical Report No. 10, Department of Environmental Sciences, University of Virginia, Charlottesville, Virginia, USA.

    Google Scholar 

  • Houston, J. R., 1996. Simplified Dean’s method for beach-fill design, J. Waterw. Port Coast. Ocean Eng., ASCE, 122(3): 143–146.

    Article  MathSciNet  Google Scholar 

  • Hsu, T. W., Tseng, I. F. and Lee, C. P., 2006. A new shape function for bar-type beach profiles, J. Coastal Res., 22(3): 728–736.

    Article  Google Scholar 

  • Inman, D. L., Elwany, M. H. and Jenkins, S. A., 1993. Shorerise and bar-berm profiles on ocean beaches, Journal of Geophysical Research-Oceans, 98(C10): 18181–18199.

    Article  Google Scholar 

  • Kaiser, M. F. M. and Frihy, O. E., 2009. Validity of the equilibrium beach profiles: Nile delta coastal zone, Egypt, Geomorphology, 107(1-2): 25–31.

    Article  Google Scholar 

  • Kit, E. and Pelinovsky, E., 1998. Dynamical models for cross-shore transport and equilibrium bottom profiles, J. Waterw. Port Coast. Ocean Eng., ASCE, 124(3): 138–146.

    Article  Google Scholar 

  • Komar, P. D. and McDougal, W. G., 1994. The analysis of exponential beach profiles, J. Coastal Res., 10(1): 59–69.

    Google Scholar 

  • Komar, P. D., 1997. Beach Processes and Sedimentation (Second Edition), Prentice-Hall, Inc., New Jersey.

    Google Scholar 

  • Larson, M. and Kraus, N. C., 1989. SBEACH: Numerical Model for Simulating Storm-Induced Beach Change, Report 1, Empirical Foundation and Model Development, USArmy Engineer Waterway Experiment Station Technical Report, CERC-89-9, Coastal Engineering Research Center, Vicksburg, Mississippi.

    Google Scholar 

  • Larson, M., Kraus, N. C. and Wise, R. A., 1999. Equilibrium beach profiles under breaking and non-breaking waves, Coast. Eng., 36(1): 59–85.

    Article  Google Scholar 

  • Lee, P. Z-F., 1994. The submarine equilibrium profile: A physical model, J. Coastal Res., 10(1): 1–17.

    Google Scholar 

  • Leenknecht, D. A., Sherlock, A. R. and Szuwalski, A., 1995. Automated tools for coastal engineering, J. Coastal Res., 11(4): 1108–1124.

    Google Scholar 

  • Li, C. C., Luo, X. L., Zhang, Z. Y. and Chen, Y. T., 1988. Formation and evolution of barrier-lagoon coast system in Shuidong area, western Guangdong, Science Bulletin, 33(11): 937–941.

    Google Scholar 

  • Li, C. C., Ying, Z. F., Yang, G. R. and Luo, Z. R., 1990. Morphodynamic processes of tidal inlet and ebb-tidal delta in the barrier-lagoon system: Shuidong area, west Guandong province, The Ocean Engineering, 8(2): 78–88. (in Chinese)

    Google Scholar 

  • Li, Z. L. and Chen, Z. S., 2006. Equilibrium shape model of headland-bay and application in South China coasts, Journal of Oceanography in Taiwan Strait, 25(1): 123–129. (in Chinese)

    Google Scholar 

  • Li, Z. Q. and Chen, Z. S., 2002. Progress in the studies on beach profile shapes, Marine Science Bulletin, 21(5): 82–89. (in Chinese)

    Google Scholar 

  • Li, Z. Q. and Chen, Z. S., 2008. Analysis on the parameters’ means in typical equilibrium beach profiles models, Journal of Waterway and Harbor, 29(4): 233–238. (in Chinese)

    Google Scholar 

  • Li, Z. Q. and Chen, Z. S., 2009. Analysis on the parameters’ meanings and relations in equilibrium beach profile models, The Ocean Engineering, 27(4): 108–115. (in Chinese)

    Google Scholar 

  • Mangorr, K., 2001. Shoreline Management Guidelines, Danish Academy of Technical Sciences, DHI Water & Environment, Denmark, 6–9.

    Google Scholar 

  • McDougal, W. G. and Hudspeth, T. T., 1983a. Wave setup/setdown and longshore current on non-planar beaches, Coast. Eng., 7(2): 103–117.

    Article  Google Scholar 

  • McDougal, W. G. and Hudspeth, T. T., 1983b. Longshore sediment transport on non-planar beaches, Coast. Eng., 7(2): 119–131.

    Article  Google Scholar 

  • Moore, B. D., 1982. Beach Profile Evolution in Response to Changes in Water Level and Wave Height, MSc. Thesis, Department of Civil Engineering, University of Delaware, Newark, DE.

    Google Scholar 

  • Özkan-Haller, H. T. and Brundidge, S., 2007. Equilibrium beach profile concept for Delaware beaches, J. Waterw. Port Coast. Ocean Eng., ASCE, 133(2): 147–160.

    Article  Google Scholar 

  • Pilkey, O. H., Young, R. S., Riggs, S. R., Sam Smith, A. W., Wu, H. Y. and Pilkey, W. D., 1993. The concept of shoreface profile of equilibrium: A critical review, J. Coastal Res., 9(1): 255–278.

    Google Scholar 

  • Risio, M. D., Lisi, I., Beltrami, G. M. and Girolamo, P. D., 2010. Physical modeling of the cross-shore short-term evolution of protected and unprotected beach nourishments, Ocean Eng., 37(8-9): 777–789.

    Article  Google Scholar 

  • Romanczyk, W., Boczar-Karakiewicz, B. and Bona, J. L., 2005. Extended equilibrium beach profiles, Coast. Eng., 52(9): 727–744.

    Article  Google Scholar 

  • Turker, U. and Kabdasli, M. S., 2009. The shape parameter and its modification for defining coastal profiles, Environmental Geology, 57(2): 259–266.

    Article  Google Scholar 

  • Walton, T. L. and Dean, R. G., 2007. Temporal and spatial change in equilibrium beach profiles from the Florida Panhandle, J. Waterw. Port Coast. Ocean Eng., ASCE, 133(5): 364–376.

    Article  Google Scholar 

  • Wang, P., and Davis, R. A., 1998. A beach profile model for a barred coast case study from Sandy Key, west-central Florida, J. Coastal Res., 14(3): 981–991.

    Google Scholar 

  • Yin, P., Lv, J. F. and Xia, D. X., 2001. Equilibrium beach profile concept and related discussion: Taking the Rizhao beach profile as an example, Journal of Oceanography of Huanghai & Bohai Seas, 19(2): 39–45. (in Chinese)

    Google Scholar 

  • Yu, J. T. and Chen, Z. S., 2011. Study on headland-bay sandy coast stability in South China coasts, China Ocean Eng., 25(1): 1–13.

    Article  Google Scholar 

  • Yu, J. T., 2011. Morphodynamic Processes and Erosion of Headland-Bay Sandy Coasts in South China, Ph. D. Thesis, Sun Yat-sen Univeristy, Guangzhou, 90–98. (in Chinese)

    Google Scholar 

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Correspondence to Zi-shen Chen  (陈子燊).

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This work was financially supported by the National Natural Science Foundation of China (Grant No. 41301005) and Postdoctoral Science Foundation of China (Grant No. 2014M552118).

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Yu, Jt., Ding, Yt., Cheng, Hx. et al. Typical equilibrium beach profile models and their significances from different segments of a headland-bay beach. China Ocean Eng 30, 637–650 (2016). https://doi.org/10.1007/s13344-016-0041-7

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  • DOI: https://doi.org/10.1007/s13344-016-0041-7

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