波浪作用下无粘性土海床的循环响应与失稳分析

A. Rafiei, M. Gabr, M. S. Rahman, M. Ghayoomi
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引用次数: 2

摘要

表面波可能对海床产生巨大的载荷,破坏沉积物和支撑海洋结构的稳定。这种威胁在浅水深处更为明显,在浅水深处,循环波荷载可能引起沉积物中的残余孔隙水压力,从而引发土壤液化。本文提出了考虑无黏性土非线性循环特性的波浪与水平海床相互作用的耦合数值框架。采用简单的试验模型,并行模拟了循环荷载作用下饱和砂土孔隙压力和变形的非线性累积过程。将该模型(元素尺度)纳入有限元程序,求解波浪与海床的相互作用。通过加入与土体残余变形相关的等效节点力项,对Biot流-变形耦合方程进行修正,得到海床的孔弹塑性响应。在流体领域采用势流理论来模拟波动引起的压力场和流场。采用时域有限元法求解控制方程和边界条件。数值框架与循环三轴压缩试验结果及解析解进行了验证。通过参数化研究,评价了波浪特性对触发残余液化的影响。数值计算结果与实验结果吻合较好。结果还表明,对于大波浪,沉积物中孔隙压力的逐渐积累可能会变得足够高,从而导致残余液化。讨论了数值模型的细节和海底土壤残余液化的可能性。
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Cyclic Response and Instability Analysis of Seabed With Cohesionless Soils Due to Surging Waves
Surface waves may generate significant loadings on the seabed destabilizing sediments and the supporting marine structures. This threat is more pronounced in shallower water depths where the cyclic wave loading may induce residual pore water pressure in sediments triggering soil liquefaction. In this paper, a coupled numerical framework is presented to evaluate the interaction of waves and horizontal seabed considering nonlinear cyclic behavior of the cohesionless soil. A simple experimental model is employed for concurrent simulation of nonlinear buildup of pore pressure and deformation of saturated sand subjected to the cyclic loadings. The model (in elemental scale) is incorporated into a finite element code to solve the interaction of wave and seabed. Poro-elastoplastic response of the seabed is obtained by modifying the Biot’s coupled flow-and-deformation equations by adding equivalent nodal force terms associated with residual deformations of the soil. Potential flow theory is adopted for the fluid domain to model wave-induced pressure and flow fields. The governing equations and boundary conditions are solved using finite element analysis in time domain. The numerical framework is verified against results of cyclic triaxial compression tests and analytical solutions. Parametric studies are conducted to evaluate the effects of wave characteristics on triggering the residual liquefaction. The numerical results indicate good agreements with experimental measures. The results also show that for large waves, the progressive buildup of pore pressure in sediments may become high enough, leading to residual liquefaction. The details of the numerical model and the potential of residual liquefaction within the seabed soil are discussed.
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