考虑孔隙流体压缩性的土体平面应变固结 半解析数值分析

针对 Biot 固结基本方程的特点，在构建满足边界条件的位移和超静孔压试探函数的基础上，由 Galerkin 法 建立了考虑孔隙流体可压缩性渗透 各向异性 层状 土体中平面应变固结问题的半解析数值求解格式，并利用三角函数系的正交性实现了加权余量方程按不同级数项的解耦。在此基础上，编制相应计算程序实现了半解析数值方程的求解。通过算例对比分析验证了半解析数值方法的正确性，并说明了其处理渗透各向同性、孔隙流体可压缩性和土体层状的能力。

Semi-analytical numerical analysis for plane strain consolidation of anisotropic soil with compressible constituents

Based on the characteristics of the governing equations of the Biot’s consolidation,the suitable trial functions of displacement and excess pore water pressure satisfying the boundary conditions are obtained,and a semi-analytical numerical scheme for solving the plane strain consolidation of multi-layered and anisotropic soil with compressible constituents is presented by using the Galerkin’s method.Moreover,by means of the orthogonality of the trigonometric functions series,the weighted residual equations are decoupled to several independence ones associated with different series modes.A computer program is developed for solving the semi-analytical numerical equations.Several numerical examples are presented,and the numerical results are compared with other available solutions to verify the validity of the present method.The applicabilities of the present method in dealing with the anisotropy of permeability,the compressibility of pore fluid and the layered characteristics of soil are demonstrated.