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考虑床面边界层效应的波浪海床相互作用分析

Dynamic interaction between waves and poroelastic seabed with boundary layer effects

  • 摘要: 在考虑海床表面附近黏性边界层的影响下, 考察了波浪与弹性多孔海床之间的相互作用.波浪场包括势流部分和边界层部分,海床域控制方程由比奥固结理论给出.波浪场和海床域通过交界面处应力连续和速度连续条件进行耦合.在简谐波和小变形的前提下,通过联立求解势流方程、波浪边界层方程和海床准静态比奥固结方程得到了波浪运动及相应的海床动力响应的解析解.通过与以往文献的实验结果进行对比,解析解的合理性得到了验证.通过参数分析讨论了实际问题中需要考虑波浪和海床相互作用机制的海床土质条件,以及流体黏性对波能衰减的影响规律.

     

    Abstract: Dynamic interaction between waves and poroelastic seabedis investigated in relation to the boundary layer near the seabed. Potentialtheory is applied to describe the wave field and a boundary layermodification is considered. The deformation of the seabed is governed byBiot's consolidation theory. Stress and velocity continuity at the interfacewill be coupled with the wave motion and the relevant seabed response. Underthe assumptions of small amplitude waves and small deformation of theseabed, an analytical solution is obtained and shown to be in good agreementwith field data. The conditions under which wave-seabed interaction becomessignificant are also discussed.

     

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