Scattering of linear oblique water waves by an elastic bottom undulation in a two-layer fluid

Chanda, Ayan; Bora, Swaroop Nandan

doi:10.1007/s00033-020-01331-7

Z. Angew. Math. Phys.

2020

DOI: 10.1007/s00033-020-01331-7

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Scattering of linear oblique water waves by an elastic bottom undulation in a two-layer fluid

Ayan Chanda

Swaroop Nandan Bora

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Cited by 13 publications

(1 citation statement)

References 38 publications

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“…Wang et al proposed an analytical method to reveal the dynamic response and liquefaction of a poroelastic seabed subjected to progressive ocean waves using Biot's fully coupled theory 24,25 . Considering the obstacles that may be encountered in the process of water wave transmission, Barman and Bora studied the influence of the interaction between the porous elastic structure near the partially reflected seawall and the oblique water wave in the two-layer fluid flowing on the porous seabed [29][30][31][32] . Based on the linear wave theory, Mohapatra and Guo established an analytical model for the interaction between oblique waves and breakwaters composed of underwater horizontal flexible porous membranes near vertical porous barriers [33][34][35][36] .…”

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Dynamic response and liquefaction potential of porous seabed induced by partial standing ocean waves

Wang,

Liu,

Liu

et al. 2023

Sci Rep

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The analysis of ocean wave-induced dynamic response of a porous seabed is particularly important for coastal and geotechnical engineers when designing and constructing maritime structures. In this study, an analytical solution is presented to analyze the dynamic response and liquefaction potential of a poro-elastic seabed induced by partial standing waves with arbitrary reflectivity. The porous seabed is modeled using Biot’s theory describing the propagation of elastic waves, and coupled deformation and water flow of porous media, whereas the ocean waves are described using linear ocean wave theory. Based on the mixed boundary-value conditions, explicit expressions of displacements, effective stresses and excess pore water pressure of seabed are derived with consideration of the effects of inertial forces, compressibility of solid and fluid, and arbitrary reflectivity of standing waves. The results of degenerated analytical solutions are compared with the existing ones to verify the correctness of the proposed method. The effects of several pertinent parameters of ocean wave-seabed system, including reflection coefficient, phase lag and period of standing waves, depth of water, permeability, degree of saturation, and shear modulus of seabed deposits, etc., on the dynamic response of seabed and liquefaction potential, are examined and discussed. It is found that the reflection of standing wave has a significant effect on the dynamic response and liquefaction potential of porous elastic seabed. Compared with that of no wave reflection, the liquefaction depth of seabed induced by fully-reflected standing waves increases 82.49% under certain conditions of wave-seabed system. In addition, phase lag, wave period, water depth and mechanical and physical properties of seabed soil such as saturation, permeability and shear modulus have different effects on the dynamic response and liquefaction potential of porous elastic seabed. The investigation of the dynamic response and liquefaction of the porous elastic seabed under partial standing ocean waves will help to better predict the influence of standing waves on breakwaters and seabed soil, and can provide some guidance for the design of offshore structures.

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confidence: 99%

Dynamic response and liquefaction potential of porous seabed induced by partial standing ocean waves

Wang,

Liu,

Liu

et al. 2023

Sci Rep

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Effects of flexible bed on oblique wave interaction with multiple surface-piercing porous barriers

Sarkar

Paul²,

2021

Z. Angew. Math. Phys.

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Topographical and barrier influences on hydroelastic response of an elastic plate floating in a two-layer fluid

Prasad

2023

Z. Angew. Math. Phys.

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Scattering of linear oblique water waves by an elastic bottom undulation in a two-layer fluid

Cited by 13 publications

References 38 publications

Dynamic response and liquefaction potential of porous seabed induced by partial standing ocean waves

Dynamic response and liquefaction potential of porous seabed induced by partial standing ocean waves

Effects of flexible bed on oblique wave interaction with multiple surface-piercing porous barriers

Topographical and barrier influences on hydroelastic response of an elastic plate floating in a two-layer fluid

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