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

作　　者：华蕾娜[1] 余锡平[1] 

机构地区：[1]水沙科学与水利水电工程国家重点实验室,清华大学水利水电工程系,北京100084

出　　处：《力学学报》2010年第1期44-50,共7页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金资助项目(10772099)~~

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.Dynamic interaction between waves and poroelastic seabed is investigated in relation to the boundary layer near the seabed.Potential theory is applied to describe the wave field and a boundary layer modification is considered.The deformation of the seabed is governed by Biot＇s consolidation theory.Stress and velocity continuity at the interface will be coupled with the wave motion and the relevant seabed response.Under the assumptions of small amplitude waves and small deformation of the seabed,an analytical solution is obtained and shown to be in good agreement with field data.The conditions under which wave-seabed interaction becomes significant are also discussed.

关 键 词：多孔弹性海床 比奥固结理论 波浪 边界层 相互作用 

分 类 号：TV148.9[水利工程—水力学及河流动力学]