Simulation of tsunami generation, propagation and coastal inundation in the Eastern Mediterranean

Abstract. In the present work, an advanced tsunami generation, propagation and coastal inundation 2-DH model (i.e. 2-D Horizontal model) based on the higher-order Boussinesq equations – developed by the authors – is applied to simulate representative earthquake-induced tsunami scenarios in the Eastern Mediterranean. Two areas of interest were selected after evaluating tsunamigenic zones and possible sources in the region: one at the southwest of the island of Crete in Greece and one at the east of the island of Sicily in Italy. Model results are presented in the form of extreme water elevation maps, sequences of snapshots of water elevation during the propagation of the tsunamis, and inundation maps of the studied low-lying coastal areas. This work marks one of the first successful applications of a fully nonlinear model for the 2-DH simulation of tsunami-induced coastal inundation; acquired results are indicative of the model's capabilities, as well of how areas in the Eastern Mediterranean would be affected by eventual larger events.

[1]  William H. Press,et al.  Numerical Recipes in Fortran 77 , 1992 .

[2]  Jeffrey R. Johnson,et al.  Probabilistic Tsunami Hazard Assessment at Seaside, Oregon, for Near- and Far-Field Seismic Sources , 2009 .

[3]  Z. Zou.  Higher order Boussinesq equations , 1999 .

[4]  M. Antuono,et al.  Dispersive Nonlinear Shallow‐Water Equations , 2009 .

[5]  Maurizio Brocchini,et al.  Dispersive nonlinear shallow-water equations: some preliminary numerical results , 2010 .

[6]  John A. Antonopoulos,et al.  STATISTICAL AND NUMERICAL ANALYSIS OF TSUNAMI WAVE HEIGHTS IN CONFINED WATERS , 1994 .

[7]  Hongqiang Zhou,et al.  Extended Fourth-Order Depth-Integrated Model for Water Waves and Currents Generated by Submarine Landslides , 2010 .

[8]  V. Titov,et al.  A nested-grid Boussinesq-type approach to modelling dispersive propagation and runup of landslide-generated tsunamis , 2011 .

[9]  Numerical modeling of multi-directional irregular waves incorporating 2-D numerical wave absorber and subgrid turbulence , 2003 .

[10]  C. DAVISON,et al.  The Earthquakes in Greece , 1894, Nature.

[11]  J. Kirby,et al.  BOUSSINESQ MODELING OF WAVE TRANSFORMATION , BREAKING , AND RUNUP . II : 2 D By , 1999 .

[12]  George Ferentinos,et al.  Tsunamigenic sources in an active European half-graben (Gulf of Corinth, Central Greece) , 2006 .

[13]  S. Tinti,et al.  Scenarios of giant tsunamis of tectonic origin in the mediterranean , 2005 .

[14]  Roberto Basili,et al.  Earthquake‐generated tsunamis in the Mediterranean Sea: Scenarios of potential threats to Southern Italy , 2008 .

[15]  Gerassimos A. Papadopoulos,et al.  Tsunami Hazard in the Eastern Mediterranean: Strong Earthquakes and Tsunamis in the Corinth Gulf, Central Greece , 2003 .

[16]  Michael J. Briggs,et al.  Laboratory experiments of tsunami runup on a circular island , 1995 .

[17]  T. Rockwell,et al.  Tsunami Hazard Evaluation of the Eastern Mediterranean: Historical Analysis and Selected Modeling , 2007 .

[18]  Theophanis V. Karambas,et al.  A new model for cross-shore surf and swash zone morphology evolution induced by nonlinear waves , 2002, Proceedings of the 39th IAHR World Congress.

[19]  J. Ribberink.  Bed-load transport for steady flows and unsteady oscillatory flows , 1998 .

[20]  R. Periáñez,et al.  Modelling tsunamis in the Eastern Mediterranean Sea. Application to the Minoan Santorini tsunami sequence as a potential scenario for the biblical Exodus , 2014 .

[21]  A higher‐order Boussinesq‐type model with moving bottom boundary: applications to submarine landslide tsunami waves , 2007 .

[22]  Costas E. Synolakis,et al.  Tsunami inundation modeling for western Sumatra , 2006, Proceedings of the National Academy of Sciences.

[23]  D. Pantosti,et al.  Historical and pre-historical tsunamis in the Mediterranean and its connected seas: Geological signatures, generation mechanisms and coastal impacts , 2014 .

[24]  G. Wei,et al.  Time-Dependent Numerical Code for Extended Boussinesq Equations , 1995 .

[25]  Rolf Deigaard,et al.  A Boussinesq model for waves breaking in shallow water , 1993 .

[26]  A. Yalciner,et al.  Understanding tsunamis, potential source regions and tsunami-prone mechanisms in the Eastern Mediterranean , 2007 .

[27]  J. Kirby,et al.  BOUSSINESQ MODELING OF WAVE TRANSFORMATION, BREAKING, AND RUNUP. II: 2D , 2000 .

[28]  J. Hammack.  A note on tsunamis: their generation and propagation in an ocean of uniform depth , 1973, Journal of Fluid Mechanics.

[29]  B. Levin,et al.  Main Tsunamigenic Zones in the Mediterranean Sea , 2000 .

[30]  Joao P. S. Catalao,et al.  Tsunami vulnerability assessment of Casablanca-Morocco using numerical modelling and GIS tools , 2010 .

[31]  J. Woodward.  The physical geography of the Mediterranean , 2009 .

[32]  Bruce E. Jaffe,et al.  Process‐based modeling of tsunami inundation and sediment transport , 2011 .

[33]  G. Papadopoulos,et al.  Tsunamis observed in Greece and the surrounding area from antiquity up to the present times , 1984 .

[34]  M A U R ´ I C I,et al.  A Fully Nonlinear Boussinesq Model for Surface Waves. Part 2. Extension to O(kh) 4 , 2000 .

[35]  Gerassimos A. Papadopoulos,et al.  Strong tsunamis in the Mediterranean Sea : A re-evaluation , 2005 .

[36]  Ralph Kiefl,et al.  Assessment of human immediate response capability related to tsunami threats in Indonesia at a sub-national scale , 2009 .

[37]  G. Pedersen,et al.  Modeling propagation and inundation of the 11 March 2011 Tohoku tsunami , 2012 .

[38]  Raúl Medina,et al.  Integrated tsunami vulnerability and risk assessment: application to the coastal area of El Salvador , 2014 .

[39]  Per A. Madsen,et al.  Tsunami generation, propagation, and run-up with a high-order Boussinesq model , 2009 .

[40]  Eddie N. Bernard.  The U.S. National Tsunami Hazard Mitigation Program: A Successful State–Federal Partnership , 2005 .

[41]  James T. Kirby,et al.  Wave evolution over submerged sills: tests of a high-order Boussinesq model , 1999 .

[42]  A. Dawson,et al.  Tsunami hazards in Europe. , 2004, Environment international.

[43]  Vasily Titov,et al.  Implementation and testing of the Method of Splitting Tsunami (MOST) model , 1997 .

[44]  M. Antuono,et al.  Beyond Boussinesq-type equations: Semi-integrated models for coastal dynamics , 2013 .

[45]  A. El-Sayed,et al.  Seismicity and Seismic Hazard in Alexandria (Egypt) and its Surroundings , 2004 .

[46]  D. E. Mitsotakis,et al.  Boussinesq systems in two space dimensions over a variable bottom for the generation and propagation of tsunami waves , 2009, Math. Comput. Simul..

[47]  O. Larsen,et al.  Tsunami inundation modelling based on detailed roughness maps of densely populated areas , 2010 .

[48]  Laura Graziani,et al.  The New Catalogue of Italian Tsunamis , 2004 .

[49]  J. Weiss,et al.  Tsunamis In The Mediterranean Sea 2000 Bc 2000 Ad , 2000 .

[50]  G. Grünthal,et al.  Probabilistic tsunami hazard in the Mediterranean Sea , 2012 .

[51]  Maurizio Brocchini,et al.  A reasoned overview on Boussinesq-type models: the interplay between physics, mathematics and numerics , 2013, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[52]  Shailesh Nayak,et al.  Coastal Vulnerability Assessment for Orissa State, East Coast of India , 2010 .

[53]  Costas E. Synolakis,et al.  The runup of solitary waves , 1987, Journal of Fluid Mechanics.

[54]  T. Karambas,et al.  Longshore sediment transport by nonlinear waves and currents , 2004 .