In most practical consolidation problems, impeded drainage boundaries are a great concern. By simultaneously introducing the impeded drainage boundaries in the horizontal and vertical directions, this study attempts to constitute a general two-dimensional (2D) plane strain consolidation system of unsaturated soil. A newly analytical solution is developed to calculate the excess pore-air and pore-water pressures and average degree of consolidation. On the basis of the eigenfunction expansion method, the developed analytical solution is given as a product of three functions, including one variable of time, horizontal and vertical dimensions only. For the impeded drainage boundaries, the eigenfunctions and eigenvalues are derived in the horizontal and vertical dimensions. The Laplace transform technique is further adopted to solve the ordinary differential system in the time domain. The developed analytical solution is verified with the existing analytical/semi-analytical solutions and finite difference solution for several typical cases. Excellent agreements are obtained so that the correctness of the developed analytical solution is validated. Moreover, two worked examples are presented to show the superiority of the developed analytical solution and to assess the influences of the drainage parameters on the 2D plane strain consolidation behavior of unsaturated soil.

在大多数实际的固结问题中，排水边界受阻是一个非常令人关注的问题。通过同时在水平和垂直方向引入受阻排水边界，本研究试图构建一个非饱和土壤的通用二维（2D）平面应变固结系统。开发了一种新的分析解决方案来计算多余的孔隙空气和孔隙水压力以及平均固结度。在本征函数展开法的基础上，将所开发的解析解作为三个函数的乘积给出，其中仅包括一个时间变量，水平和垂直维度。对于障碍物排水边界，本征函数和本征值是在水平和垂直方向上导出的。进一步采用拉普拉斯变换技术在时域上求解普通差分系统。对于几种典型情况，已开发的分析解决方案已通过现有的分析/半分析解决方案和有限差分解决方案进行了验证。获得了出色的协议，从而验证了开发的分析解决方案的正确性。此外，给出了两个工作示例，以展示所开发的分析解决方案的优越性，并评估排水参数对非饱和土二维平面应变固结特性的影响。获得了出色的协议，从而验证了开发的分析解决方案的正确性。此外，给出了两个工作实例，以展示所开发的分析解决方案的优越性，并评估排水参数对非饱和土二维平面应变固结特性的影响。获得了出色的协议，从而验证了开发的分析解决方案的正确性。此外，给出了两个工作示例，以展示所开发的分析解决方案的优越性，并评估排水参数对非饱和土二维平面应变固结特性的影响。