This paper attempts to develop a novel hybrid method to address the dynamic impedance functions of a rigid strip-foundation resting on a non-homogeneous poroelastic soil profile. The rigid footing is perfectly bonded to the soil profile and is subjected to time-harmonic loadings. The soil profile under consideration comprises several horizontal layers with different thicknesses and an underlying half-space or fixed base (layered stratum); these aspects are governed by Biot's theory of poroelastodynamics combined with a simplified approach to consider the saturation effect. The dynamic interaction problem is solved by employing a hybrid formulation combining the Boundary Element Method (BEM), the Thin Layer Method (TLM) and the Perfectly Matched Layer technique (PML), which allows the calculation of Green's functions for the multi-layered poroelastic half-space. Comparisons with the existing results were made to verify the formulation; these are special cases of the more general problems that have been addressed. Select numerical solutions are presented to demonstrate the impact of the boundary conditions at the bottom of the soil profile, geotechnical properties (such as the saturation degree, uniformity coefficient, angle of internal friction, etc.) and non-homogeneity effects on the dynamic impedance functions.

本文尝试开发一种新颖的混合方法，以解决基于非均质多孔弹性土壤剖面的刚性条形基础的动态阻抗功能。刚性基脚完美地结合到土壤剖面上，并承受时谐荷载。所考虑的土壤剖面包括几个具有不同厚度的水平层和一个下面的半空间或固定的基底（分层的地层）。这些方面均由比奥的孔隙弹性动力学理论和一种考虑饱和效应的简化方法共同决定。通过将边界元素方法（BEM），薄层方法（TLM）和完美匹配层技术（PML）结合使用的混合公式解决了动态相互作用问题，从而可以计算Green' s用于多层多孔弹性半空间。与现有结果进行比较以验证配方；这些是已解决的更普遍问题的特例。提出了一些数值解，以证明边界条件在土壤剖面底部，岩土特性（如饱和度，均匀系数，内摩擦角等）以及非均质性对动阻抗的影响。职能。