Abstract In offshore areas, the silty soil seabed can be liquefied under cyclic wave loads, and the liquefied soil fluctuates with the upper water body with the same period. Similar to the movement of water, the fluctuation orbit of liquefied soil particles is elliptical with a horizontal major axis, and the orbit radius gradually decreases with depth. Although some researchers have constructed theories to describe the fluctuation of liquefied soils, no corresponding data have been verified in wave flume tests on silty soils under visual conditions. In this paper, the particle trajectory of liquefied soil is observed to be elliptical under the condition of small-amplitude waves in shallow water by wave flume tests. The vertical displacement of liquefied soil particle motion is measured by the falling ball method, which provides validation data for the theoretical calculation results. In addition, the results of the double-layer fluid wave theory are compared with the experimental data. For engineering applications, an analytical solution for particle motion and the displacement of liquefied silty soil under wave action is given by using the small-amplitude wave theory and the method of setting a reference surface of fluid wave depth. The vertical displacement of liquefied soil particles calculated by the analytical solution is smaller than that calculated by the double-layer fluid wave theory and larger than that calculated from the experimental results.

中文翻译：

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波浪作用下液化土颗粒轨迹的测量与计算

摘要 在近海地区，粉质土海床在周期性波浪载荷作用下会发生液化，液化的土壤随上层水体同步波动。与水的运动相似，液化土颗粒的波动轨道是长轴水平的椭圆形，轨道半径随着深度的增加而逐渐减小。虽然一些研究人员已经构建了描述液化土壤波动的理论，但在目视条件下对粉质土壤的波浪水槽测试中没有得到相应数据的验证。本文通过波槽试验观察到浅水小幅波条件下液化土的颗粒轨迹为椭圆形。用落球法测量液化土颗粒运动的垂直位移，为理论计算结果提供验证数据。此外，将双层流体波理论的结果与实验数据进行了比较。针对工程应用，利用小幅波理论和流体波深度基准面的设置方法，给出了波浪作用下质点运动和液化粉土位移的解析解。解析解计算得到的液化土颗粒垂向位移小于双层流体波理论计算值，大于实验结果计算值。利用小幅波理论和流体波深度基准面的设定方法，给出了波浪作用下质点运动和液化粉土位移的解析解。解析解计算得到的液化土颗粒垂向位移小于双层流体波理论计算值，大于实验结果计算值。利用小幅波理论和流体波深度基准面的设定方法，给出了波浪作用下质点运动和液化粉土位移的解析解。解析解计算得到的液化土颗粒垂向位移小于双层流体波理论计算值，大于实验结果计算值。