解析法求解成层渗透各向异性地基Biot固结轴对称问题

采用解析法研究成层渗透各向异性地基，该法从渗透各向异性Ｂｉｏｔ固结轴对称问题的基本方程（静力平衡方程，物理方程及渗透连续方程）出发，利用Ｌａｐｌａｃｅ～Ｈａｎｋｅｌ变换及有关矩阵理论等，得到Ｂｉｏｔ固结基本量不同深度之间的传递矩阵。利用传递矩阵，边界条件以及Ｌａｐｌａｃｅ～Ｈａｎｋａｌ逆变换技术可求解多层渗透各向异性地基体系，采用更为有效的Ｆ．Ｄｕｒｂｉｎ的方法实现Ｌａｐｌａｃｅ逆变换。编制了计算

Solutions for Axisymmetric Biot Consolidation Problems of Layered and Anisotropic Permeability Soil by Analytics

In this paper, layered and anisotropic permeability soil is studied by analytics. This method is based upon basic equations of static equilibrium, permeability continuum and physics of axisymmetric Biot consolidation, and by making use of Laplace-Hankel transforms and related matrix theories, transfer matrix of Biot consolidation basic parameters between different depth is obtained. By associating the transfer matrix, boundary conditions and inverse Laplace-Hankel transforms, multi-layered soil can be calculated. More effective method of F. Durbin is applied to realize inverse Laplace transform. Program is written, and layered and anisotropic permeability soil can thus be caluclated more easily with advantages of high precision, fast execution and fewer hypotheses. An example is finally given.