成层非均质地基一维固结方程半解析求解

Semi-analytical Solution to One-Dimensional Consolidation Equation of Layered Non-homogeneous Subgrade

针对成层地基和变荷载下非均质地基固结研究不成熟的问题,首先获得了土体渗透系数和压缩系数均随深度任意变化的成层非均质地基一维固结方程及其半解析解和计算程序;然后以渗透系数和压缩系数是深度的多项式函数的非均质地基为例,对多层非均质地基的一维固结性状进行了研究;最后通过典型的算例,对多层地基的一维非均质固结性状与一维非线性固结性状进行了分析比较。研究结果表明:采用非均质假定的结果与传统的太沙基固结理论有很大差别,固结系数不是决定固结性状的惟一土性参数。

Based on no well-considered problem of consolidation research under layered subgrade and varied load, the one-dimensional consolidation equation and its semi-analytical solution and the calculation program of layered non-homogeneous subgrade with the soil coefficient of permeability and compression varying freely along depth were obtained. Based on the example of non-homogeneous subgrade in which the coefficient of permeability and compression were the function of depth, the one-dimensional consolidation behaviours of multi-layer non-homogeneous subgrade were studied. Finally, the one-dimensional consolidation behaviour of non-homogeneous and non-linear of multi-layer subgrade were analyzed and compared through the typical example. The result shows that there is a big difference between traditional Terzaghi consolidation theory and the non-homogeneous consolidation; the consolidation coefficient is not the only factor that decides the consolidation behaviour.