High-resolution marine flood modelling coupling overflow and overtopping processes : framing the hazard based on historical and statistical approaches

A modelling chain was implemented in order to propose a realistic appraisal of the risk in coastal areas affected by overflowing as well as overtopping processes. Simulations are performed through a nested downscaling strategy from regional to local scale at high spatial resolution with explicit buildings, urban structures such as sea front walls and hydraulic structures liable to affect the propagation of water in urban areas. Validation of the model performance is based on hard and soft available data analysis and conversion of qualitative to quantitative information to reconstruct the area affected by flooding and the succession of events during two recent storms. Two joint probability approaches (joint exceedance contour and environmental contour) are used to define 100-year offshore conditions scenarios and to investigate the flood response to each scenario in terms of (1) maximum spatial extent of flooded areas, (2) volumes of water propagation inland and (3) water level in flooded areas. Scenarios of sea level rise are also considered in order to evaluate the potential hazard evolution. Our simulations show that for a maximising 100-year hazard scenario, for the municipality as a whole, 38 % of the affected zones are prone to overflow flooding and 62 % to flooding by propagation of overtopping water volume along the seafront. Results also reveal that for the two kinds of statistic scenarios a difference of about 5 % in the forcing conditions (water level, wave height and period) can produce significant differences in terms of flooding like +13.5 % of water volumes propagating inland or+11.3 % of affected surfaces. In some areas, flood response appears to be very sensitive to the chosen scenario with differences of 0.3 to 0.5 m in water level. The developed approach enables one to frame the 100-year hazard and to characterize spatially the robustness or the uncertainty over the results. Considering a 100-year scenario with mean sea level rise (0.6 m), hazard characteristics are dramatically changed with an evolution of the overtopping / overflowing process ratio and an increase of a factor 4.84 in volumes of water propagating inland and 3.47 in flooded surfaces.

[1]  R. Nicholls,et al.  A comparison of the main methods for estimating probabilities of extreme still water levels , 2010 .

[2]  A. Sterl,et al.  The ERA‐40 re‐analysis , 2005 .

[3]  F. Méndez,et al.  A methodology to estimate wave‐induced coastal flooding hazard maps in Spain , 2016 .

[4]  James D. Brown,et al.  Modeling storm surge flooding of an urban area with particular reference to modeling uncertainties: A case study of Canvey Island, United Kingdom , 2007 .

[5]  J. Hunter,et al.  A simple technique for estimating an allowance for uncertain sea-level rise , 2012, Climatic Change.

[6]  Jérémy Rohmer,et al.  Development of an inverse method for coastal risk management , 2013 .

[7]  D. Idier,et al.  Spatial variability of extreme wave height along the Atlantic and channel French coast , 2015 .

[8]  Ana Rueda,et al.  The use of wave propagation and reduced complexity inundation models and metamodels for coastal flood risk assessment , 2016 .

[9]  Rodrigo Pedreros,et al.  Coastal flooding of urban areas by overtopping: dynamic modelling application to the Johanna storm (2008) in Gâvres (France) , 2014 .

[10]  J. C. Dietrich,et al.  A High-Resolution Coupled Riverine Flow, Tide, Wind, Wind Wave, and Storm Surge Model for Southern Louisiana and Mississippi. Part I: Model Development and Validation , 2010 .

[11]  Matthew E. Hubbard,et al.  A 2D numerical model of wave run-up and overtopping , 2002 .

[12]  R. Mínguez,et al.  Mixed extreme wave climate model for reanalysis databases , 2013, Stochastic Environmental Research and Risk Assessment.

[13]  Peter Hawkes,et al.  Best practice for the estimation of extremes: A review , 2008 .

[14]  B. Anselme,et al.  Storm extreme levels and coastal flood hazards: A parametric approach on the French coast of Languedoc (district of Leucate) , 2011 .

[15]  Roberto Mínguez,et al.  A methodology for deriving extreme nearshore sea conditions for structural design and flood risk analysis , 2014 .

[16]  Judith Wolf,et al.  Towards a high resolution cellular model for coastal simulation (CEMCOS) , 2005 .

[17]  J. A. Battjes,et al.  Coastal modelling for flood defence , 2002, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[18]  William Sweet,et al.  From the extreme to the mean: Acceleration and tipping points of coastal inundation from sea level rise , 2014 .

[19]  Marcel Zijlema,et al.  SWASH: An operational public domain code for simulating wave fields and rapidly varied flows in coas , 2011 .

[20]  Inigo J. Losada,et al.  The influence of seasonality on estimating return values of significant wave height , 2009 .

[21]  Coastal Flooding Hazard Related to Swell Events in Cartagena de Indias, Colombia , 2013 .

[22]  Holger Rootzén,et al.  Design Life Level: Quantifying risk in a changing climate , 2013 .

[23]  N. Booij,et al.  A third-generation wave model for coastal regions-1 , 1999 .

[24]  Fabrizio Durante,et al.  A multivariate copula‐based framework for dealing with hazard scenarios and failure probabilities , 2016 .

[25]  P. Bates,et al.  Evaluating the effect of scale in flood inundation modelling in urban environments , 2008 .

[26]  F. Dumas,et al.  An external–internal mode coupling for a 3D hydrodynamical model for applications at regional scale (MARS) , 2008 .

[27]  J. Austin Changing Sea Levels: Effects of Tides, Weather and Climate , 2004 .

[28]  Eric P. Smith,et al.  An Introduction to Statistical Modeling of Extreme Values , 2002, Technometrics.

[29]  B. Sanders,et al.  Two-dimensional, high-resolution modeling of urban dam-break flooding: A case study of Baldwin Hills, California , 2009 .

[30]  Dominic E. Reeve,et al.  Numerical study of combined overflow and wave overtopping over a smooth impermeable seawall , 2008 .

[31]  V. Moron,et al.  Sea surges around the Gulf of Lions and atmospheric conditions , 2008 .

[32]  J. C. Dietrich,et al.  A High-Resolution Coupled Riverine Flow, Tide, Wind, Wind Wave, and Storm Surge Model for Southern Louisiana and Mississippi. Part II: Synoptic Description and Analysis of Hurricanes Katrina and Rita , 2010 .

[33]  Richard M. Vogel,et al.  A risk‐based approach to flood management decisions in a nonstationary world , 2014 .

[34]  Patrick N. Halpin,et al.  Raster modelling of coastal flooding from sea‐level rise , 2008, Int. J. Geogr. Inf. Sci..

[35]  C. Tebaldi,et al.  Modelling sea level rise impacts on storm surges along US coasts , 2012 .

[36]  Manuel Garcin,et al.  How historical information can improve estimation and prediction of extreme coastal water levels: application to the Xynthia event at La Rochelle (France) , 2015 .

[37]  Luc Hamm,et al.  A multi-distribution approach to POT methods for determining extreme wave heights , 2011 .

[38]  T. W. Gallien,et al.  Validated coastal flood modeling at Imperial Beach, California: Comparing total water level, empirical and numerical overtopping methodologies , 2016 .

[39]  Marc Prevosto,et al.  Survey of stochastic models for wind and sea state time series , 2007 .

[40]  Patrick D. Nunn,et al.  Sea Level Change , 2013 .

[41]  Peter Stansby,et al.  Coastal hydrodynamics – present and future , 2013 .

[42]  D. Stammer,et al.  Projecting twenty-first century regional sea-level changes , 2014, Climatic Change.

[43]  A. Paquier,et al.  Modeling floods in a dense urban area using 2D shallow water equations , 2006 .

[44]  I. Losada,et al.  Forecasting seasonal to interannual variability in extreme sea levels , 2009 .

[45]  Jeffrey A. Melby,et al.  An application of Boussinesq modeling to Hurricane wave overtopping and inundation , 2009 .

[46]  Ben Gouldby,et al.  Integrating a multivariate extreme value method within a system flood risk analysis model , 2015 .

[47]  Bent Natvig,et al.  A new approach to environmental contours for ocean engineering applications based on direct Monte Carlo simulations , 2013 .

[48]  B. Sanders,et al.  Predicting tidal flooding of urbanized embayments: A modeling framework and data requirements , 2011 .

[49]  Tomohiro Suzuki,et al.  A NUMERICAL STUDY ON THE EFFECT OF BEACH NOURISHMENT ON WAVE OVERTOPPING IN SHALLOW FORESHORES , 2012 .

[50]  Pascal Bernatchez,et al.  Integrating anthropogenic factors, geomorphological indicators and local knowledge in the analysis of coastal flooding and erosion hazards , 2011 .

[51]  Ben Gouldby,et al.  The joint probability of waves and water levels in coastal engineering design , 2002 .

[52]  Laura Read,et al.  Reliability, return periods, and risk under nonstationarity , 2015 .

[53]  Bent Natvig,et al.  Alternative environmental contours for structural reliability analysis , 2015 .

[54]  Jürgen Jensen,et al.  Assessing the hydrodynamic boundary conditions for risk analyses in coastal areas: a multivariate statistical approach based on Copula functions , 2012 .

[55]  B. Zanuttigh,et al.  Assessment of coastal flooding hazard along the Emilia Romagna littoral, IT , 2010 .

[56]  K. Hawick MODELLING FLOOD INCURSION AND COASTAL EROSION USING CELLULAR AUTOMATA SIMULATIONS , 2014 .

[57]  Fangjun Li,et al.  A comparison of extreme wave analysis methods with 1994–2010 offshore Perth dataset , 2012 .

[58]  Jürgen Jensen,et al.  Multivariate design in the presence of non-stationarity , 2014 .

[59]  Philip Jonathan,et al.  Statistical modelling of extreme ocean environments for marine design: A review , 2013 .

[60]  Fabrizio Durante,et al.  On the return period and design in a multivariate framework , 2011 .

[61]  E. Thornton,et al.  Measured and modeled wave overtopping on a natural beach , 2011 .

[62]  E. Chaumillon,et al.  Assessment of static flood modeling techniques: application to contrasting marshes flooded during Xynthia (western France) , 2013 .

[63]  P. Camus,et al.  A hybrid efficient method to downscale wave climate to coastal areas , 2011 .

[64]  André B. Fortunato,et al.  Generating inundation maps for a coastal lagoon: A case study in the Ria de Aveiro (Portugal) , 2013 .

[65]  B. Sanders,et al.  A Parcel-Scale Coastal Flood Forecasting Prototype for a Southern California Urbanized Embayment , 2013 .

[66]  Jonathan A. Tawn,et al.  A conditional approach for multivariate extreme values (with discussion) , 2004 .

[67]  C. Tebaldi,et al.  Probabilistic 21st and 22nd century sea‐level projections at a global network of tide‐gauge sites , 2014 .

[68]  Paul D. Bates,et al.  Using remotely sensed data to support flood modelling , 2006 .

[69]  Feifei Zheng,et al.  Modeling dependence between extreme rainfall and storm surge to estimate coastal flooding risk , 2014 .

[70]  R. Fisher,et al.  Introduction to Statistical Modelling of Extreme Values , 2019 .

[71]  Paul D. Bates,et al.  Evaluation of a coastal flood inundation model using hard and soft data , 2012, Environ. Model. Softw..

[72]  Brett F. Sanders,et al.  Urban coastal flood prediction: Integrating wave overtopping, flood defenses and drainage , 2014 .

[73]  E. Akhmatskaya,et al.  Numerical simulation of extreme wave runup during storm events in Tramandaí Beach, Rio Grande do Sul, Brazil , 2015 .

[74]  A. Sterl,et al.  A New Nonparametric Method to Correct Model Data: Application to Significant Wave Height from the ERA-40 Re-Analysis , 2005 .