The preloading consolidation method has been widely applied to ground treatment. In this case, the top surface of unsaturated soil stratum is fully covered with a geosynthetics blanket to aid water and air flowing from the soil, which may cause uneconomic and wasteful design. This paper presents semi-analytical solutions of two-dimensional (2D) plane strain consolidation for unsaturated soils with a strip-shaped distributed permeable boundary. Based on the 2D consolidation theory proposed by Dakshanamurthy and Fredlund (1980), semi-analytical solutions of excess pore pressures and settlement in Laplace domain are derived by jointly adopting Fourier sine series, Laplace transformation, and differential operator method. Then, the analytical solutions in the time domain are derived and the corresponding computing program is developed based on Crump’s method. The validity of obtained solutions has been conducted by comparing the current solutions with those under the permeable top boundary in the literature. A series of calculating examples are performed to study the consolidation properties under a strip-shaped distributed permeable boundary. Parametric studies are carried out for the 2D distribution of excess pore pressures and settlement considering the coverage percentage of geosynthetics, anisotropy consolidation coefficient, the width and thickness of unsaturated soil stratum.

预压固结法已广泛应用于地基处理。在这种情况下，非饱和土层的顶面被土工合成材料毯完全覆盖，以帮助水和空气从土壤中流出，这可能会导致设计不经济和浪费。本文提出了具有带状分布渗透边界的非饱和土的二维 (2D) 平面应变固结的半解析解。基于Dakshanamurthy和Fredlund (1980)提出的二维固结理论，联合采用傅里叶正弦级数、拉普拉斯变换和微分算子方法，推导出拉普拉斯域超孔隙压力和沉降的半解析解。然后，推导出时域解析解，并基于 Crump 方法开发相应的计算程序。通过将当前解决方案与文献中可渗透顶部边界下的解决方案进行比较，已经进行了所获得解决方案的有效性。通过一系列算例研究了带状分布渗透边界下的固结特性。考虑土工合成材料的覆盖率、各向异性固结系数、非饱和土层的宽度和厚度，对超孔隙压力和沉降的二维分布进行了参数研究。通过一系列算例研究了带状分布渗透边界下的固结特性。考虑土工合成材料的覆盖率、各向异性固结系数、非饱和土层的宽度和厚度，对超孔隙压力和沉降的二维分布进行了参数研究。通过一系列算例研究了带状分布渗透边界下的固结特性。考虑土工合成材料的覆盖率、各向异性固结系数、非饱和土层的宽度和厚度，对超孔隙压力和沉降的二维分布进行了参数研究。