非均匀地基与均匀地基一维固结解答之间的转换关系

TRANSFORMATIONAL RELATIONSHIP OF ONE-DIMENSIONAL CON-SOLIDATION SOLUTIONS BETWEEN NON-HOMOGENEOUS AND HOMOGENEOUS FOUNDATIONS

基于一维固结理论,研究了土层物理力学性质沿深度非均匀连续变化的固结问题。首先,利用分离变量法,获得了渗透系数和压缩系数随深度按指数函数变化的非均匀地基一维固结方程的解析表达式;然后与Terzaghi固结理论的经典解答进行了比较,获得了两种解答之间的相似转换关系。这样,非均匀地基固结问题就可以用相同荷载以及边界条件下的均匀地基固结的经典解线性表示。因此,非均匀地基固结问题的求解转化为对相似转换系数的计算。该系数集中反映土层非均匀性对地基固结的影响,从而为解决非均匀地基一维固结问题提供了便捷途径。

Based on the one-dimensional consolidation theory,this paper examines the consolidation problem for the saturated non-homogeneous foundation whose physical and mechanical properties are variation along the depth. Firstly,the analytical solutions to the governing equation of a saturated soil layer is obtained using the method of separation of variables.The laws of soil permeability and compressibility coefficients with depth can be expressed as exponential functions.In addition,the analogous transformation relationships between two solutions of excess pore pressure and degree of consolidation are given through comparison of the present solution with the classical solutions of Terzaghi consolidation theory.The consolidation of non-homogenous foundation can be expressed by that of homogenous foundation with the same loading and boundary conditions.Consequently, the non-homogeneous foundation consolidation problem can be reduced to the calculation of the transition parameters and the factor concentrically reflecting the effects of non-homogeneous on consolidation.This method can provide a simple and convenient approach in analyzing and solving the non-homogeneous foundation consolidation.