中文摘要：

基于满足边界条件的位移和超孔隙水压力试探函数,利用半解析数值原理建立考虑孔隙流体可压缩性各向异性层状土体三维Biot固结问题的有限层求解格式,由三角函数系的正交性实现加权余量方程按不同级数项的解耦。在编制相应计算程序实现有限层方程求解的基础上,进行算例数值分析,通过计算结果和经典解答的对比验证半解析数值方法的有效性,同时说明渗透各向同性、孔隙流体可压缩性、横观各向同性以及土体层状分布对三维固结行为的影响。

英文摘要：

Based on the trial functions of displacement and excess pore water pressure satisfying the boundary conditions and the semi-analytical numerical technique, a semi-analytical numerical scheme of finite layer method for solving three-dimensional Biot＇s consolidation of the anisotropic and layered soil with compressible constituents is presented. Moreover, by means of the orthogonality of the trigonometric functions series, the weighted residual equations are decoupled into several independence ones associated with different series modes. Based on a computer program developed for solving this problem, several numerical examples are given. The validity of the presented method is verified through a comparison between the numerical results and the classical solutions. Meanwhile, the influences of anisotropy of permeability, compressibility of pore fluid, transverse isotropy and characteristics of layered soil on the behaviors of three-dimensional Biot＇s consolidation are demonstrated.