摘要
从渗透各向异性轴对称Biot固结的控制方程出发,构造出Laplace-Hankel变换域内的状态方程,利用Cayley-Hamilton定理推导出单层饱和地基的传递矩阵。结合多层饱和地基的连续条件、边界条件、以及抽水作用面的连续条件,运用传递矩阵法求得了渗透各向异性饱和层状地基内抽水问题在积分变换域内的解。通过Laplace和Hankel数值逆变换,获得了相应问题在物理域内的真实解。分析讨论了土体的渗透各向异性参数及及抽水时间等因素对饱和地基地表沉降的影响。
Starting with the governing equations of axisymmetric Biot＇ s consolidation with anisotropie permeability, a set of state equations in the Laplace - Hankel transforms domain are obtained, the transfer matrix for a single soil layer is obtained by employing the Cayley - Hamilton theorem. Combined with the continuity conditions and boundary conditions between layers and pumping horizontal plane, the exact solution for point pumping of saturated multi - layered soil with anisotropic permeability is obtained by using the transfer matrix method. The actual solutions in physical domian can be acquired by numerically inverting the Laplace - Hankel transform. A numerical analysis is carried out to illustrate the influence of the anisotropy of permeability and pumping time on the surface settlement of the soils.
出处
《地下空间与工程学报》
CSCD
北大核心
2010年第1期174-178,共5页
Chinese Journal of Underground Space and Engineering
关键词
渗透各向异性
层状地基
井点抽水
积分变换
anisotropic permeability
a multi - layered soil
point pumping
integral transform
