层状横观各向同性饱和地基的三维Biot固结问题

Solutions for 3-d Biot consolidation problems of layered transversely isotropic saturated soils

首先引入状态向量,在直角坐标系下推导出横观各向同性饱和地基Biot固结问题的状态方程,然后基于Laplace变化和双重Fourier变换,求解了状态方程,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,求解了层状横观各向同性饱和地基的Biot固结问题。

A method to calculate the 3-D Biot consolidation problems of layered transversely isotropic saturated soils is presented.Based on Biot's theory for fluid-saturated porous media,the 3-D Biot's consolidation equations in rectangular coordinate for transversely isotropic saturated poroelastic media are transformed into a group of 1-order governing different equations by means of the Laplace transform and double Fourier transform with respect to the time and horizontal coordinates respectively.Then,transfer matrixes within layered media are derived under the continuous conditions,drainage conditions and the boundary conditions.