Abstract This paper presents an analytical solution for the resistance of saturated soil to a laterally vibrating pile. Based on Biot's model for fluid-saturated porous media, by setting the dynamic vertical normal stress in the soil equal to zero and combining the Helmholtz decomposition scheme, a closed-form solution is obtained for the resistance of the saturated soil to the pile motion. The solution considers the inertial, fluid, viscous, mechanical couplings and the compressibility of solid and fluid into account. A comparison with an existing solution is performed to verify the proposed solution. Through numerical examples, the effects of the soil porosity, soil compressibility, liquid density and interstitial fluid bulk modulus on the stiffness and damping of the saturated soil are assessed.

中文翻译：

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饱和土对侧振桩的抗力

摘要 本文提出了饱和土对侧振桩抗力的解析解。基于Biot的流体饱和多孔介质模型，通过设置土体中的动态垂直法向应力为零，并结合亥姆霍兹分解方案，得到饱和土体对桩运动阻力的闭式解。该解决方案考虑了惯性、流体、粘性、机械耦合以及固体和流体的可压缩性。执行与现有解决方案的比较以验证建议的解决方案。通过数值算例，评估了土壤孔隙度、土壤压缩性、液体密度和填隙流体体积模量对饱和土壤刚度和阻尼的影响。