Based on the consolidation theory raised by Fredlund, the solutions for the equal‐strain consolidation of unsaturated foundation with the prefabricated vertical drain considering smear effect and drain resistance are analytically formulated in this paper. Firstly, governing equations for excess pore pressures (i.e., excess pore‐air and pore‐water pressures) under the equal‐strain hypothesis are derived with the introduction of radial boundary conditions. Afterwards, the obtained coupled equations are solved by applying general integration, decoupling process, and Fourier sine series expansion. The smear coefficients and factors of drain resistance corresponding to air and water phases are both captured explicitly in the final solutions. Furthermore, the degenerated solutions are employed to verify the reliability of the current solutions. Finally, a parametric study is conducted to study the consolidation characteristics of the proposed foundation model against modeling sizes (S and N), smear coefficients (α_a and α_w), and drain resistance factors (G_a and G_w).

中文翻译：

---

预制垂直排水对非饱和地基固结的解析解

基于Fredlund提出的固结理论，本文分析了考虑到拖尾效应和抗排水性的非饱和地基与预制竖向排水管的等应变固结解决方案。首先，通过引入径向边界条件，推导了等应变假设下的超孔隙压力（即超孔隙空气和孔隙水压力）的控制方程。然后，通过应用一般积分，解耦过程和傅里叶正弦级数展开来求解获得的耦合方程。在最终解决方案中都明确捕获了与空气和水相相对应的拖影系数和排水阻力系数。此外，退化的解决方案用于验证当前解决方案的可靠性。最后，小号和Ñ），涂抹系数（α_一个和α_瓦特），和漏极电阻因子（G ^_一个和ģ_瓦特）。