Predictions of run-up scale on coastal seawalls using a statistical formula
Tóm tắt
This paper presents predictions of run-up scale on coastal structures using a multiple linear regression equation. The Wonnapha Beach seawall in Chon Buri, Thailand, is used as the study site. Instead of exactly measuring wave run-up on structures, run-up levels were observed and categorized into five scales (from 0 to 4). Run-up scales, together with the data of tidal levels, offshore waves, and winds, are analyzed using multiple linear regression. A new parameter, “effective wind speed,” is introduced by merging wind direction and speed into one parameter explaining more physical meaning of wind influences on wave run-up. The regression formula can reproduce observed run-up scales with an
$$R_{{}}^{2}$$
of 0.589 and the mean absolute error of 0.62. For this study, the predictive formula can be applied as a real warning for the near future since simultaneous data is used; however, applying this approach while using forecasted input data would be a useful and timely warning tool for alerting people who live near coastal defenses about potentially hazardous run-up conditions.
Tài liệu tham khảo
Achiari H, Sasaki J (2007) Numerical analysis of wind-wave climate change and spatial distribution of bottom sediment properties in Sanbanze Shallows of Tokyo Bay. J Coast Res SI50:343–347
Ahrens JP (1981) Irregular wave run-up on smooth slopes. Tech. Aid No. 81-17. U.S. Army Coastal Engineering Research Center, Springfield, Virginia, USA
Ahrens JP, Seelig WN (1996) Wave runup on beaches. In: Proc 25th Coast Eng Conf, Orlando, Florida, USA, pp 981–993
Battjes JA, Roos A (1975) Characteristics of flow in run-up of periodic waves. Report No. 75–3 (Ch. 45), Faculty of Engineering and Geosciences, Delft University of Technology, Delft, The Netherlands
Booij N, Ris RC, Holthuijsen LH (1999) A third-generation wave model for coastal regions, Part I, Model description and validation. J Geophs Res 104:7649–7666
Fox J (2015) Applied regression analysis and generalized linear models. SAGE Publications, Thousand Oaks
Fuhrman DR, Madsen PA (2008) Simulation of nonlinear wave run-up with a high-order Boussinesq model. Coast Eng 55:139–154
Goda Y (2000) Random seas and design of maritime structures. World Scientific, Singapore
Harris MW, Nicolsky DJ, Pelinovsky EN, Pender JM, Rybkin AV (2016) Run-up of nonlinear long waves in U-shaped bays of finite length: analytical Theory and Numerical Computations. J Ocean Eng Mar Energy 2:113–127
Hedges TS, Mase H (2004) Modified Hunt’s equation incorporating wave setup. J Waterw Port Coast Ocean Eng 130:109–113
Holthuijsen LH (2007) Waves in oceanic and coastal waters. Cambridge University Press, Cambridge
Hsiao SC, Hsu TW, Lin TC, Chang YH (2008) On the evolution and run-up of breaking solitary waves on a mild sloping beach. Coast Eng 55:975–988
Hubbard ME, Dodd N (2002) A 2D numerical model of wave run-up and overtopping. Coast Eng 47:1–26
Hughes SA (2004) Estimation of wave run-up on smooth, impermeable slopes using the wave momentum flux parameter. Coast Eng 51:1085–1104
Hughes MG, Moseley AS, Baldock TE (2010) Probability distributions for wave runup on beaches. Coast Eng 57:575–584
Hunt IA (1959) Design of seawalls and breakwaters. J Waterw Harb Div 85:123–152
Hydrographic Department, Royal Thai Navy (2011) Tide tables: Thai waters, Mae Nam Chaophraya—Gulf of Thailand—Andaman Sea. Bangkok, Thailand
James G, Witten D, Hastie T, Tibshirani R (2017) An introduction to statistical learning: with applications in R. Springer-Verlag New York Inc., New York
Kalakan C, Sriariyawat A, Naksuksakul S, Rasmeemasmuang T (2016) Sensitivity analysis of coastal flooding to geographical factors: NUMERICAL model study on idealized beaches. Eng Journal 20:1–15
Kamphuis JW (2010) Introduction to coastal engineering and management. World Scientific, Singapore
Khoury A, Jarno A, Marin F (2019) Experimental study of runup for sandy beaches under waves and tide. Coast Eng 144:33–46
Kobayashi N, Otta AK, Roy I (1987) Wave reflection and run-up on rough slopes. J Waterw Port Coast Ocean Eng 113:282–298
Lashley CH, Bertin X, Roelvink D, Arnaud G (2019) Contribution of infragravity waves to run-up and overwash in the Pertuis Breton Embayment (France). J Mar Sci Eng 7:205
Lerma AN, Pedreros R, Robinet A, Sénéchal N (2017) Simulating wave setup and runup during storm conditions on a complex barred beach. Coast Eng 123:29–41
Li Y, Raichlen F (2003) Energy balance model for breaking solitary wave runup. J Waterw Port Coast Ocean Eng 129:47–59
Mase H (1989) Random wave runup height on gentle slope. J Waterw Port Coast Ocean Eng 115:649–661
Mase H, Tamada T, Yasuda T, Karunarathna H, Reeve DE (2015) Analysis of climate change effects on seawall reliability. Coast Eng J 57(3):1550010-1–2150010
Montgomery DC, Peck EA, Vining GG (2012) Introduction to linear regression analysis. Wiley, Hoboken
Myrhaug D (2015) Estimation of wave runup on shorelines based on long-term variation of wave conditions. J Ocean Eng Mar Energy 1:193–197
Na SJ, Do KD, Suh KD (2011) Forecast of wave run-up on coastal structure using offshore wave forecast data. Coast Eng 58:739–748
Neelamani S, Sandhya N (2004) Wave reflection, run-up, run-down and pressures on plane, dentated and serrated seawalls. Coast Eng J 46:141–170
Nielsen P, Hanslow DJ (1991) Wave runup distribution on natural beaches. J Coast Res 7:1139–1152
Ning Y, Liu W, Sun Z, Zhao X, Zhang Y (2018) Parametric study of solitary wave propagation and runup over fringing reefs based on a Boussinesq wave model. J Mar Sci Tech 24:1–14
Ning Y, Liu W, Zhao X, Zhang Y, Sun Z (2019) Study of irregular wave run-up over fringing reefs based on a shock-capturing Boussinesq model. Appl Ocean Res 84:216–224
Pilarczyk KW (1990) Coastal protection. A.A Balkema, Rotterdam
Rasmeemasmuang T, Chuenjai W, Rattanapitikon W (2014) Wave run-up on sandbag slopes. Maejo Int J Sci Tech 8:48–57
Reeve DE (1998) Coastal flood risk assessment. J Waterw Port Coast Ocean Eng 124:219–228
Roberts TM, Wang P, Kraus NC (2010) Limits of wave runup and corresponding beach-profile change from large-scale laboratory data. J Coast Res 26:184–198
Ruggiero P, Komar PD, McDougal WG, Marra JJ, Beach RA (2001) Wave runup, extreme water levels and the erosion of properties backing beaches. J Coast Res 17:407–419
Saramula S, Ezer T (2014) Spatial variations of sea level along the coast of Thailand: Impacts of extreme land subsidence, earthquakes and the seasonal monsoon. Glob Planet Change 122:70–81
Shankar NJ, Jayaratne MPR (2003) Wave run-up and overtopping on smooth and rough slopes of coastal structures. Ocean Eng 30:221–238
U.S. Army Corps of Engineers (USACE) (1984) Shore protection manual. Coastal Engineering Research Center (CERC), Water Experiment Station, Vickburg, Mississippi, USA
U.S. Army Corps of Engineers (USACE) (2002) Coastal engineering manual. Engineer Manual 1110-2-1100, USA
van der Meer JW, Stam CJM (1992) Wave run-up on smooth and rock slopes of coastal structures. J Waterw Port Coast Ocean Eng 188:534–550
van der Meer JW, Allsop NWH, Bruce T, De Rouck J, Kortenhaus A, Pullen T, Schüttrumpf H, Troch P, Zanuttigh B (2018) Manual on wave overtopping of sea defences and related structures. EurOtop. www.overtopping-manual.com. Accessed 20 Apr 2020
van Gent MRA (2001) Wave runup on dikes with shallow foreshores. J Waterw Port Coast Ocean Eng 127:254–262
Vongvisessomjai S (2005) Chao Phraya Delta: Paddy field irrigation area in tidal deposit. In: Proc 19th Int. Congress and 56th Int. Executive Council of ICID: THAICID-Multifunctional roles of irrigation water in Thailand, Thailand, Paper No. 10
World Meteorological Organization (WMO) (2012) Manual on marine meteorological services: volume I—Global aspect. WMO-No. 558
Yamanaka Y, Matsuba Y, Tajima Y, Shibata R, Hattori N, Wu L, Okami N (2019) Nearshore dynamics of storm surges and waves induced by the 2018 Typhoons Jebi and Trami based on the analysis of video footage recorded on the coasts of Wakayama, Japan. J Mar Sci Eng 7:413
Yuhi M, Mase H, Kim S, Umeda S, Altomare C (2021) Refinement of integrated formula of wave overtopping and runup modeling. Ocean Eng. https://doi.org/10.1016/j.oceaneng.2020.108350