自然界及工程中大量涉及非饱和土固结问题，了解非饱和土固结性状非常必要。非饱和土固结是复杂的非线性耦合问题，研究难度很大，在研究复杂问题之前，半解析解的研究极有价值，可提供非饱和土固结的一阶近似解，用于固结问题的快速计算、分析。申请者基于典型的Fredlund非饱和土固结理论，采用适当的假定及一些数学方法，考虑渗透系数的非线性变化，拟求解以下情况的非饱和土固结半解析解，并对其进行固结性状分析。1)成层线弹性非饱和土地基一维固结；2）简单情况下的线弹性非饱和土理想砂井地基固结；3）有限厚度粘弹性非饱和土地基一维固结。预期成果对于分析非饱和土固结性状、理解非饱和土固结机理具有重要的意义，也可为与非饱和土固结有关的工程优化设计、施工进度控制提供一定的参考。

There are many consolidation problems of unsaturated soils in engineering. It is important to study the consolidation behavior of unsaturated soils .The consolidation of unsaturated soil is a complex nonlinear coupling issue. The study to semi-analytical solution is valuable to resolve the difficult consolidation problem of unsaturated soil. It can supply the first-order approximation solution to consolidation of unsaturated soils to rapidiy calculate and analyse.The applicant proposes to solute the semi-analytical solutions and to analysis the consolidation behavior of the following conditions, considering the non-linear changes of permeability coefficient, based on Fredlund's one-dimensional consolidation theory for unsaturated soil. 1. One-dimensional consolidation for layered linearly elastic unsaturated soil foundation. 2.Consolidation for linearly elastic unsaturated soil with ideal sand drain,simple cases. 3.One-dimensional consolidation for viscoelastic unsaturated soil foundation with finite thickness. The expected results have great significance for analyzing the consolidation behavior and mechanism of unsaturated soils. Moreover, the project can provide some useful references for consolidation problems with unsaturated soils such as engineering optimization design and construction schedule control.