渗透各向异性多层地基的轴对称Biot固结  

Axisymmetric Biot's consolidation of multi-layered soils with anisotropic permeability

作　　者：艾智勇[1] 曾文泽[1] 

机构地区：[1]同济大学地下建筑与工程系岩土及地下工程教育部重点实验室,上海200092

出　　处：《岩土工程学报》2011年第2期242-246,共5页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金项目(50578121)

摘　　要：从轴对称Biot固结基本方程出发,通过对时间t和坐标z进行Laplace变换,对坐标r进行Hankel变换,建立了单层地基中6个状态量在土层顶面和任意深度z间的传递矩阵关系。结合层间连续条件和边界条件,进一步求得了渗透各向异性多层地基在Laplace-Hankel变换域内的解。通过Laplace-Hankel逆变换可求得该问题物理域内的真实解。编制了相应的计算程序,并对数值计算结果进行了比较和分析。计算结果表明,土的渗透各向异性对固结过程中的地表位移有比较显著的影响。The axisymmetric Biot＇s consolidation of multi-layered saturated soils with anisotropic permeability is studied.Based on the governing equations of axisymmetric Biot＇s consolidation,the transfer matrix for 6 basic variables between the ground surface and an arbitrary depth of z is obtained by taking Laplace transform with respect to t and z and Hankel transform with respect to r.Considering the continuity conditions between layers and boundary conditions,the solutions for the axisymmetric Biot＇s consolidation of multi-layered soils with anisotropic permeability in the Laplace-Hankel transformed domain are obtained,and the actual solutions in the physical domain can be acquired by inverting the Laplace-Hankel transforms.Numerical analysis is carried out by using the corresponding program based on the present theory.The results show that the anisotropic permeability of soils has a remarkable effect on the surface displacement in the process of consolidation.

关 键 词：渗透各向异性 轴对称Biot固结 传递矩阵 LAPLACE-HANKEL变换 

分 类 号：TU433[建筑科学—岩土工程]