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波浪作用下海床动力反应的数值分析
引用本文:栾茂田,王栋.波浪作用下海床动力反应的数值分析[J].海洋工程,2001,19(4):40-45.
作者姓名:栾茂田  王栋
作者单位:大连理工大学 土木工程系及海岸和近海工程国家重点实验室,辽宁,大连,116024
基金项目:国家自然科学基金资助项目 ( 5 97790 17,5 0 1790 0 6 ),教育部跨世纪优秀人才培养计划研究基金资助项目
摘    要:近海和离岸建筑物的基通常处于连续不断的小风浪作用之下,可将其变形视为弹性。基于二维广义Biot理论,提出了线性或非线性波浪作用下饱和弹性海床动力应应的时域有限元数值解法。静力平衡条件和Biot方程组成的边值方程可视为其特例,在比较算例中,数值计算得到的孔压和有效应力幅值沿海床深度的分布与解析解十分吻合。土骨架和孔隙流体的加速度对海床动力反应的影响很小。具体算例表明,线性波沿缓坡海床传播时,土层中超静孔压和有效应力幅值随之增大,有可能发生滑动坡坏。所提出的数值解法能够灵活地处理非线性波浪荷载,海底复杂地质条件和波浪沿缓坡传播等复杂情况。

关 键 词:非线性波  海床  有限元  固结构论  孔隙介质  波浪作用
文章编号:1005-9865(2001)04-0040-06
修稿时间:2000年9月25日

Numerical analyses of dynamic response of porous seabed under wave loading
LUAN Mao-tian,WANG Dong.Numerical analyses of dynamic response of porous seabed under wave loading[J].Ocean Engineering,2001,19(4):40-45.
Authors:LUAN Mao-tian  WANG Dong
Abstract:The foundation of coastal and offshore structures is often subject to continuous wave-induced loading with small amplitude and long duration. Under such conditions, the soil of seafloor nearly behaves elastically. Based on the generalized formulation of two-dimensional Biot's theory, a finite element numerical method in time domain is developed to evaluate the dynamic response of saturated elastic seabed subject to linear or non-linear wave loadings. The governing equations which are composed of static equilibrium conditions and Biot's equation can be regarded as a special case. It is shown that the accelerations of soil matrix and pore fluid affect the seabed dynamic response slightly. When a sequence of linear waves propagates over gentle slopes, the amplitudes of pore pressure and effective stresses become larger and larger in the seabed, which will possibly initiate potential sliding failure. The numerical method proposed can deal with complex conditions such as non-linear wave loading, complicated geological conditions and wave propagation over gentle slopes.
Keywords:non-linear wave  seabed  finite elements  consolidation theory  porous media
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