横观各向同性饱和层状地基的三维稳态动力响应

首先引入状态向量,将直角坐标系下横观各向同性饱和土的Biot波动方程转化为一组状态方程,然后基于双重Fourier变换,求解了状态方程并得到传递矩阵。进而利用传递矩阵,并结合饱和地基的边界条件、排水条件及层间接触和连续条件,求解了横观各向同性饱和层状地基的稳态动力响应问题。数值算例表明采用各向同性饱和介质的动力学模型,不能准确描述具有明显各向异性特性的饱和土地基的动力特性。

3-D DYNAMIC RESPONSE OF TRANSVERSELY ISOTROPIC SATURATED LAYERED SOILS TO AN ARBITRARY HARMONIOUS SOURCE

The purpose of this article is to study the 3-D dynamic response of transversely isotropic saturated layered soils to an arbitrary harmonious source.In the first part,based on Biot's theory for fluid-saturated porous media,the 3-D wave equations in Cartesian coordinate for transversely isotropic saturated poroelastic media are transformed into a group of governing differential equations completed by the double Fourier transformation method with respect to horizontal coordinates.Then,transfer matrixes within layered media are derived by introducing the state vector.The second part solve the dynamic response for such multilayered medium by using transfer matrixes followed by boundary conditions,continuity conditions and drainage conditions.Numerical examples show the obvious difference between the model of isotropic saturated poroelastic media and that of transversely isotropic saturated poroelastic media.