Non-linear analysis of a seabed deposit subjected to the action of standing waves

Poorooshasb, H.B.; Yang, Q. S.; Clark, Jack I.

doi:10.1016/0895-7177(90)90052-o

“…Besides analytical methods, numerical simulation is also a useful tool to investigate the dynamic interactions among ocean waves, offshore structures and seabed deposits. Different water waves, complex constitutive relations of seabed soil, and irregular boundaries of the topics can be modeled [11][12][13][14][15][16][17][18] .…”

Section: Introductionmentioning

confidence: 99%

Dynamic Response and Liquefaction Potential of Porous Seabed Induced by Partial Standing Ocean Waves

Wang,

Liu,

Liu

et al. 2023

Preprint

0

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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.

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“…Besides analytical methods, numerical simulation is also a useful tool to investigate the dynamic interactions among ocean waves, offshore structures and seabed deposits. Different water waves, complex constitutive relations of seabed soil, and irregular boundaries of the topics can be modeled 11 – 18 .…”

Section: Introductionmentioning

confidence: 99%

“…www.nature.com/scientificreports/ offshore structures and seabed deposits. Different water waves, complex constitutive relations of seabed soil, and irregular boundaries of the topics can be modeled [11][12][13][14][15][16][17][18] .…”

mentioning

confidence: 99%

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

Wang,

Liu,

Liu

et al. 2023

Sci Rep

2

0

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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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“…In an attempt to analyze the liquefaction susceptibility of the sea-floor deposits to wave action, Poorooshasb et al (1987Poorooshasb et al ( , 1990 have carried out the finite element nonlinear coupled analyses for standing wave loading, in which the sea floor was assumed to be a saturated porous medium simulated by a two-surface plastic model (Poorooshasb and Pietruszczak 1985). Probably it was the first time that the wave-induced response was investigated by an elastoplastic effective stress analysis following the wave loading history.…”

Section: Introductionmentioning

confidence: 99%

Travelling wave-induced liquefaction of sand deposits

Yang¹,

Poorooshasb²,

Cheung³

1994

Can. J. Civ. Eng.

5

0

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The sea-floor deposit is assumed to be a saturated porous medium modelled by a two-phase system for which the coupled governing equations are derived from the theory of mixture. A constitutive model based on the generalized plasticity-bounding surface formulation is proposed to describe the soil behavior. An artificial boundary is suggested to deal with the unbounded domain problem. Thc coupled governing equations and the material model have been implemented into a nonlinear finite element program to analyze the travelling wave-induced liquefaction of seabed deposits. The rcsults of two case studies are presented. The first case examines the response of sand deposit to the wave train at a site of underwater pipelines for nuclear power plants in Lake Ontario where the deposit was found to vary from loose to medium dense. The second case investigates the sea-floor behavior under a storm wave at the Ekofisk oil tank site in the North Sca where the deposit was reported to be dense. The results agree with the field observations.Ke? ~vorc1.s: seabed instability, liquefaction, finite element, plasticity, sand, cyclic loading, travelling wave, unbounded domain.On a Cmis I'hypothkse que les dCpBts de fond ocCaniq~~e constituent un milieu poreux sature, niodellisC par un systkme a deux phases pour lequel les Cquations principales co~~plCes sont obtenues a partir de la thiorie du melange. Un modkle constitutif base sur la formule gCnCralis6e plasticit&-surface de delimitation est suggCrC pour dCcrire le comportement du sol. Une frontikre artificielle est proposee afin de tenir compte du problkme du domaine illimitC. Les Cquations principales co~~pldes et le modele de materiau ont ete mis en oeuvre sous forme de programme non IinCaire d'CICments finis afin d'analyser la liquefaction des depbts de fond marin provoquee par I'onde progressive. Les rksultats de deux Ctudes de cas sont prCsentCs. Le premier cas examine la rCaction des dCp6ts de sable au train d'ondes sous les pipelines submerges de centrales nuclCaires du lac Ontario oil les dCpBts varient de meubles 2 moyennement denses. Le second cas analyse le co~nportement du fond ocCanique soumis a une onde de temp&te aux installations de stockage dc petrole de Ekofisk, dans la mer du Nord, oh les dCpBts sont denses. Les rCsultats obtenus correspondent ;tux observations in situ.Mots clks : instabilitk du fond ocCanique, IiquCfaction, ClCment fini, plasticite, sable, chargement cyclique, onde progressive. domaine illimitk.[Traduit par la redaction]Can.

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Non-linear analysis of a seabed deposit subjected to the action of standing waves

Cited by 4 publications

References 6 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

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

Travelling wave-induced liquefaction of sand deposits

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