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
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
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
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
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
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
Dean RG (1988) Engineering design principles. Short course on principles and applications of beach nourishment. Florida Shore and Beach Preservation Association, Gainesville, p 42
Dean RG, Yoo C (1992) Beach nourishment performance predictions. J Waterw Port Coast Ocean Eng 118(6):567–586
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
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
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
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
Kriebel DL (1986) Verification study of a dune erosion model. Shore Beach 54(3):13–21
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
Ojeda E, Guillén J (2006) Monitoring beach nourishment based on detailed observations with video measurements. J Coast Res 48:100–106
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
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
Rogers WE, Work PA (2006) Mathematical and physical modeling of beach nourishment projects. Coast Eng 228:2941–2953
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
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
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
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
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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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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DOI: https://doi.org/10.1007/s10236-015-0869-z