Surface Wave Propagation in Shallow Water beneath an Inhomogeneous Ice Cover

In situ measurements of an energetic wave event in the Arctic marginal ice zone

“…Mariners have long known that wave energy diminishes as they navigate into ice, and many have witnessed swell propagate deep (distances of 2 to 4 orders of magnitude greater than the characteristic wavelength) into the ice. Research has focused on several effects of ice cover on incoming waves: change in dispersion relation [e.g., Hunkins, 1962;Liu et al, 1991;Fox and Haskell, 2001] and other radiative effects such as reflection, transmission [Gol'dshtein and Marchenko, 1989;Fox and Squire, 1994], scattering, refraction, and attenuation [Squire et al, 1995;Perrie and Hu, 1996;Marchenko and Voliak, 1997;Liu and Mollo-Christensen, 1988;Squire and Williams, 2008]. The wave effects on ice are mostly mechanical in nature: flexing and fracturing of continuous ice and floes, calving of ice edges, convergence or divergence of ice fields, and forcing collisions between floes [Wadhams, 1981;Squire, 2007, and references Of special interest is the fracturing and convergence of ice floes under the influence of swell because this represents a possible feedback loop between air, sea, and ice [Asplin et al, 2012;Thomson and Rogers, 2014;Asplin et al, 2014].…”

Wave interaction with multiple articulated floating elastic plates

“…This shows that the resonating pattern increases with the increase in articulations. This resonating pattern in the reflection coefficients can be referred to as Bragg resonance which generally occurs in water wave problems involving periodic structures, as described in Bennetts et al (2009) and Marchenko and Voliak (1997).…”

“…On the other hand, a majority of the VLFS are constructed near the shoreline, where the water depths are relatively shallow. Marchenko and Voliak (1997) analysed the scattering of flexural gravity waves in shallow fluid beneath an ice cover with linear irregularities due to cracks and hummocks. Sturova (2001) analysed the deflection of floating flexible platforms in shallow water after reducing the problem to a system of boundary integral equations.…”

Boussinesq-type equations of hydroelastic waves in shallow water

“…Flexural stiffness can hardly distribute uniformly because of variable thickness and structural irregularities. Different types of irregularities in floating plates and the resulting effects on FG waves have been investigated, such as cracks (Marchenko 1999;Squire & Dixon 2000;Evans & Porter 2003;Porter & Evans 2006Ren, Wu & Li 2020;Barman et al 2021), leads (Chuang & Linton 2005;Williams & Squire 2006;Shi, Li & Wu 2019;Zeng et al 2021), ridges (Marchenko 1996;Marchenko & Voliak 1997;Williams & Squire 2004;Vaughan, Williams & Squire 2007;Squire & Williams 2008) and variable thickness (Porter & Porter 2004;Bennetts, Biggs & Porter 2007;Smith & Meylan 2011). Apart from the above-mentioned investigations on periodic FG waves, solitary FG waves attracted renewed interest in the last two decades due to their relevance to the effects of a moving load and tsunami impact.…”

“…2021), leads (Chuang & Linton 2005; Williams & Squire 2006; Shi, Li & Wu 2019; Zeng et al. 2021), ridges (Marchenko 1996; Marchenko & Voliak 1997; Williams & Squire 2004; Vaughan, Williams & Squire 2007; Squire & Williams 2008) and variable thickness (Porter & Porter 2004; Bennetts, Biggs & Porter 2007; Vaughan & Squire 2007; Smith & Meylan 2011). Apart from the above-mentioned investigations on periodic FG waves, solitary FG waves attracted renewed interest in the last two decades due to their relevance to the effects of a moving load and tsunami impact.…”