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Shoreline relaxation at pocket beaches

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Abstract

A new physical concept of relaxation time is introduced in this research as the time required for the beach to dissipate its initial perturbation. This concept is investigated using a simple beach-evolution model of shoreline rotation at pocket beaches, based on the assumption that the instantaneous change of the shoreline plan-view shape depends on the long-term equilibrium plan-view shape. The expression of relaxation time is developed function of the energy conditions and the physical characteristics of the beach; it increases at longer beaches having coarse sediments and experiencing low-energy conditions. The relaxation time, calculated by the developed model, is validated by the shoreline observations extracted from video images at two artificially embayed beaches of Barcelona (NW Mediterranean) suffering from perturbations of sand movement and a nourishment project. This finding is promising to estimate the shoreline response and useful to improve our understanding of the dynamic of pocket beaches and their stability.

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References

  • Bramato S, Ortega-Sanchez M, Mans C, Losada MA (2012) Natural recovery of a mixed sand and gravel Beach alter a sequence of a short duration storm and moderate sea states. J Coast Res 28(1):89–101. doi:10.2112/JCOASTRES-D-10-00019.1

    Article  Google Scholar 

  • Browder AE, Dean RE (2000) Monitoring and comparison to predictive models of the Perdido Key beach nourishment project, Florida, USA. Coast Eng 39:173–191

    Article  Google Scholar 

  • Callaghan DP, Nielsen P, Short A, Ranasinghe R (2009) Statistical simulation of wave climate and extreme beach erosion. Coast Eng 55:375–390. doi:10.1016/j.coastaleng

    Article  Google Scholar 

  • Choowong M, Phantuwongraj S, Charoentitirat T, Chutakositkanon V, Yumuang S, Charusiri P (2009) Beach recovery after 2004 Indian Ocean tsunami from Phang-nga, Thailand. Geomorphology 104:134–142. doi:10.1016/j.geomorph.2008.08.007

    Article  Google Scholar 

  • Capobianco M, Larson M, Nicholls RJ, Kraus NC (1997) Depth of Closure: A Contribution of the Reconciliation of Theory, Practise and Evidence, in Coastal Dynamic, 97, pp. 506–515.

  • Corbella S, Strech DD (2012) Shoreline recovery from storms on the east coast of Southern Africa. Nat Hazards Earth Syst Sci. doi:10.5194/nhess-12-11-2012

    Google Scholar 

  • Davidson MA, Turner IL (2009) A behavioural-template beach profile model for predicting seasonal to interannual shoreline evolution. J Geophys Res Earth Surf 24:114. doi:10.1029/2007JF000888

    Google Scholar 

  • Dean RG (1988) Engineering design principles. Short course on principles and applications of beach nourishment. Florida Shore and Beach Preservation Association, Gainesville, p 42

    Google Scholar 

  • Dean RG, Yoo C (1992) Beach nourishment performance predictions. J Waterw Port Coast Ocean Eng 118(6):567–586

    Article  Google Scholar 

  • Elko NA, Holman RA, Gelfenbaum G (2005) Quantifying the rapid evolution of a nourishment project with video imagery. J Coast Res 21(4):633–645

    Article  Google Scholar 

  • Galofre J, Montoya FJ, Medina R (1995) Study of the evolution of a beach nourishment project based on computer models. Computational Mechanics Publications, Southampton, pp 249–256

    Google Scholar 

  • Gonzalez M, Medina R (2007) An integrated coastal modeling system for analyzing beach processes and beach restoration projects, smc. Comput Geosci 33

  • Harley MD, Turner, Morris BD, Short AD, Ranasinghe R (2007) Nearshore wave climate and localised erosion during high wave events - SE Australia, paper presented at 18th Australasian Coastal and Ocean Engineering Conference (Coasts and Ports), Eng. Aust., Melbourne, Victoria, Australia

  • Harley MD, Turner IL, Short AD, Ranasinghe R (2009) An empirical model of beach response to storms - SE Australia, paper presented at 19th Australasian Coastal and Ocean Engineering Conference (Coasts and Ports), Eng. Aust., Wellington, New Zealand

  • Harley MD, Turner IL, Short AD, Ranasinghe R (2012) A re-evaluation of coastalembayment rotation: the dominance of cross-shore versus alongshore sediment transport processes, collaroy-narrabeen, beach, Australia. J Geophys Res 116:F04033. doi:10.1029/2011JF001,989

  • Holman RA, Stanley J (2007) The history and technical capabilities of Argus. Coast Eng 54:447–491

    Article  Google Scholar 

  • Houser C, Hamilton S (2009) Sensitivity of post-hurricane beach and dune recovery to event frequency. Earth Surf Process Landf 34:613–628. doi:10.1002/esp.1730

    Article  Google Scholar 

  • Kriebel DL (1986) Verification study of a dune erosion model. Shore Beach 54(3):13–21

    Google Scholar 

  • Larso M, Kraus NC, Byrnes MR (1989) SBEACH: numerical model for simulating storm-induced beach change—numerical formulation and model tests, USACE-CERC, technical report CERC-89-9 report 2

  • Larson M, Kraus NC (1989) SBEACH: numerical model for simulating storm-induced beach change—empirical foundation and model development, USACE-CERC, technical report CERC-89-9 Report 1

  • Lyapunov AM (1992) General problem of the stability of motion, ISBN-10: 0748400621; ISBN-13: 978–0748400621

  • Miller JK, Dean RG (2003) Implications of longshore variability in shoreline change modelling. In Proceedings of The International Conference on Coastal Sediments, pp 1–14

  • Morton RA, Paine JG, Gibeaut JC (1994) Stages and durations of post-storm beach recovery, Southeastern Texas Coast, U.S.A. J Coast Res 10(4):884–908

    Google Scholar 

  • Ojeda E, Guillén J (2006) Monitoring beach nourishment based on detailed observations with video measurements. J Coast Res 48:100–106

    Google Scholar 

  • Ojeda E, Guillén J (2008) Shoreline dynamics and beach rotation of artificial embayed beaches. Mar Geol 253:51–62. doi:10.1016/j.margeo.2008.03.010

    Article  Google Scholar 

  • Ping W, Kirby JH, Haber JD, Horwitz MH, Knorr PO, Krock JR (2006) Morphological and sedimentological impacts of hurricane ivan and immediate poststorm beach recovery along the Northwestern Florida Barrier-Island Coasts. J Coast Res 22(6):1382–1402

  • Reguero BG, Mendez FJ, Minguez R, Losada IJ (2012) A global ocean wave (GOW) calibrated reanalysis from 1948 onwards. Coast Eng doi:10.1016/j.coastaleng.2012.03.003

  • Roelvink D, Reniers A, van Dongeren A, de Vries JV, McCall R, Lescinski J (2009) Modelling storm impacts on beaches, dunes and barrier islands. Coast Eng 56(11–12):1133–1152. doi:10.1016/j.coastaleng.2009.08.006

    Article  Google Scholar 

  • Rogers WE, Work PA (2006) Mathematical and physical modeling of beach nourishment projects. Coast Eng 228:2941–2953

    Google Scholar 

  • Steven H, Strogatz H (2001) Nonlinear dynamics and chaos: with applications to physics, biology, chemistry, and engineering (studies in nonlinearity)

  • Suanez S, Cariolet JM, Cancouet R, Ardhuin F, Delacourt C (2012) Dune recovery after storm erosion on a high-energy beach. Geomorphology 139–140:16–33. doi:10.1016/j.geomorph.2011.10.014

    Article  Google Scholar 

  • Turki I, Medina R, Gonzalez M, Coco G (2013a) Natural variability of shoreline position: observations at three pocket beaches. Mar Geol 338:76–89. doi:10.1016/j.margeo.2012.10.007

  • Turki I, Medina R, Gonzalez M, Coco G (2013b) An equilibrium model to predict shoreline rotation of pocket beaches. Mar Geol 346:220–232. doi:10.1016/j.margeo.2013.08.002

    Article  Google Scholar 

  • Valle D, Medina R, Losada MA (1993) Dependence of coefficient k on grain size. J Waterw Port Coast Ocean Eng 568–574

  • van Rijn LC (2009) Prediction of dune erosion due to storms. Coast Eng 56:441–457

    Article  Google Scholar 

  • Van Rijin AG, Walstra DJR, Sutherland B (2003) The predictability of cross-shore bed evolution of sandy beaches at the time scale of storms and seasons using process based profile models. Coast Eng 47:295–327

  • Vousdoukas MI, Almeida LPM, Ferreira O (2011) Beach erosion and recovery during consecutive storms at a steep-sloping, meso-todal beach. Earth Surf Process Landf. doi:10.1002/esp.2264

    Google Scholar 

  • Wang P, Kirby HJ, Haber JD, Horwitz MH, Knorr PO, Krock JR (2006) Morphological and Sedimentological Impacts of Hurricane Ivan and Immediate Poststorm Beach Recovery along the Northwestern Florida Barrier-Island Coasts. J Coast Res 22(6):1382–1402

  • Work PA, Dean RG (1995) Assessment and prediction of beach-nourishment evolution. J Waterw Port Coast Ocean Eng 121(3). American Society of Civil Engineers, New York, NY, pp 182–189

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Correspondence to Imen Turki.

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Turki, I., Medina, R., Kakeh, N. et al. Shoreline relaxation at pocket beaches. Ocean Dynamics 65, 1221–1234 (2015). https://doi.org/10.1007/s10236-015-0869-z

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