On the occurrence of non-reflecting cross-shore profiles along Estonian coasts of the Baltic Sea

Cross-shore beach profiles along Estonian coasts of the Baltic Sea are analysed from the viewpoint of the frequency of occurrence of convex sections that may support non-reflecting wave propagation and unexpectedly high run-up events. In total 194 beach profiles, measured in 2006- 2011 at 16 locations, are examined by means of their approximation with the power function () . b hx Ax = About half of the profiles can be adequately approximated using a single power function. These profiles are almost all concave. The relevant exponents are clustered around b = 2/3 that is characteristic to the Dean's Equilibrium Profile. The rest of the profiles can be divided into two sections, each of which is approximated by a power function. The underwater sections of such profiles predominantly match the Dean's Equilibrium Profile. About 10% of the subaerial sections (about 7% of all examples) have the exponent close to b = 4/3, for which high run-up events are likely.

[1]  E. Okal,et al.  Field Survey of the Samoa Tsunami of 29 September 2009 , 2010 .

[2]  Long surface wave dynamics along a convex bottom , 2008, 0804.4369.

[3]  Nobuhisa Kobayashi,et al.  IRREGULAR WAVE SETUP AND RUN-UP ON BEACHES , 1992 .

[4]  R. Dalrymple,et al.  Coastal Processes with Engineering Applications , 2001 .

[5]  Byung Ho Choi,et al.  Wave and storm surge simulations for Hurricane Katrina using coupled process based models , 2008 .

[6]  Ira Didenkulova,et al.  Rogue waves in 2006–2010 , 2011 .

[7]  E. Pelinovsky,et al.  Runup of Tsunami Waves in U-Shaped Bays , 2010, 1005.1457.

[8]  Robert G. Dean,et al.  Equilibrium Beach Profiles: Characteristics and Applications , 1991 .

[9]  C. Synolakis,et al.  The run-up of N-waves on sloping beaches , 1994, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[10]  S. Dube,et al.  Numerical simulation of storm surge associated with severe cyclonic storms in the Bay of Bengal during 2008-11 , 2022, MAUSAM.

[11]  Dmitry Kurennoy,et al.  Marine coastal hazards for the eastern coasts of the Baltic Sea , 2008 .

[12]  Javier L. Lara,et al.  Numerical analysis of wave overtopping of rubble mound breakwaters , 2008 .

[13]  E. Pelinovsky,et al.  Tsunami waves generated by submarine landslides of variable volume: analytical solutions for a basin of variable depth , 2010 .

[14]  Andrey Kurkin,et al.  Runup of nonlinearly deformed waves on a coast , 2006, nlin/0602050.

[15]  H. Kanamori,et al.  The Great Sumatra-Andaman Earthquake of 26 December 2004 , 2005, Science.

[16]  Non-dispersive traveling waves in inclined shallow water channels , 2009 .

[17]  E. Pelinovsky,et al.  Travelling water waves along a quartic bottom profile , 2010 .

[18]  T. Soomere,et al.  Beach profile change caused by vessel wakes and wind waves in Tallinn Bay, the Baltic Sea , 2011 .

[19]  E. Pelinovsky,et al.  Dynamical Models for Cross-Shore Transport and Equilibrium Bottom Profiles , 1998 .

[20]  Hermann M. Fritz,et al.  Extreme runup from the 17 July 2006 Java tsunami , 2007 .

[21]  H. P. Greenspan,et al.  Water waves of finite amplitude on a sloping beach , 1958, Journal of Fluid Mechanics.

[22]  Henk J. Steetzel Cross-shore Transport during Storm Surges , 1993 .

[23]  Ira Didenkulova,et al.  Freak waves in 2005 , 2006 .

[24]  E. Pelinovsky,et al.  Reflection of a long wave from an underwater slope , 2011 .

[25]  C. Rogers,et al.  Analytic solution of the linearized shallow-water wave equations for certain continuous depth variations , 1975, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics.

[26]  J. Bona,et al.  Extended equilibrium beach profiles , 2005 .

[27]  D. Inman,et al.  Shorerise and bar‐berm profiles on ocean beaches , 1993 .

[28]  P. Liu,et al.  Advances in Coastal and Ocean Engineering , 1999 .

[29]  P. Bruun Coast Erosion and the Development of Beach Profiles , 1954 .

[30]  C. Synolakis,et al.  Long-wave runup models : Friday Harbor, USA, 12-17 September 1995 , 1996 .

[31]  L. Wright,et al.  Morphodynamic variability of surf zones and beaches: A synthesis , 1984 .

[32]  Costas E. Synolakis,et al.  Extreme inundation flows during the Hokkaido‐Nansei‐Oki Tsunami , 1997 .

[33]  Sebastià Monserrat,et al.  Meteorological tsunamis near the Balearic and Kuril Islands: Descriptive and statistical analysis , 1996 .

[34]  U. Ratas,et al.  Increasing Activity of Coastal Processes Associated with Climate Change in Estonia , 2003 .

[35]  T. Soomere,et al.  Spatial patterns of the wave climate in the Baltic Proper and the Gulf of Finland , 2011 .

[36]  Tadepalli,et al.  Model for the Leading Waves of Tsunamis. , 1996, Physical review letters.

[37]  R. Medina,et al.  A morphological model of the beach profile integrating wave and tidal influences , 2003 .

[38]  E. Reimnitz,et al.  The A and m Coefficients in the Bruun/Dean Equilibrium Profile Equation Seen from the Arctic , 2008 .

[39]  Efim Pelinovsky,et al.  Physical Mechanisms of the Rogue Wave Phenomenon , 2003 .

[40]  Nobuhito Mori,et al.  Survey of 2011 Tohoku earthquake tsunami inundation and run‐up , 2011 .

[41]  Daniel T. Cox,et al.  Performance of Highway Bridge Girder Anchorages under Simulated Hurricane Wave Induced Loads , 2012 .

[42]  Ivica Vilibić,et al.  Meteotsunamis: atmospherically induced destructive ocean waves in the tsunami frequency band , 2006 .

[43]  N. Kobayashi Analytical Solution for Dune Erosion by Storms , 1987 .

[44]  Z. Dai,et al.  The configuration of equilibrium beach profile in South China , 2007 .

[45]  J. Tromp,et al.  The Great Sumatra-Andaman Earthquake , 2005 .

[46]  T. Soomere,et al.  Formation of two-section cross-shore profile under joint influence of random short waves and groups of long waves , 2011 .