During electro‐osmotic consolidation, effective voltage attenuation induced by the increasing interface resistance is an important phenomenon, which significantly decreases consolidation effectiveness. This paper presents an analytical model for one‐dimensional electro‐osmotic consolidation in layered soils with horizontal graphite electrodes considering effective voltage attenuation. The mathematical model is characterized by time‐dependent source term and discontinuous interface flux. New variables are introduced to homogenize the discontinuous interface flux and Green’s function method is used to solve the new nonhomogeneous governing equations with nonhomogeneous boundaries. Several verification examples are conducted using the existing analytical solution and numerical results. Parametric studies indicate that electro‐osmotic consolidation of layered soils cannot be accurately simulated by equivalent homogeneous soil, whether effective voltage attenuation is considered or not. Furthermore, the backflow phenomenon may occur due to effective voltage attenuation, while it may disappear when the anode is placed in the low‐permeability layer. In addition, the optimal arrangement of electrodes in layered soils is also investigated. When the ratio of the thickness of low‐permeability layer to high‐permeability layer is about 1/3, installing the cathode in the low‐permeability layer can improve the electro‐osmosis effect up to two times, compared with installing the anode in the low‐permeability layer.

中文翻译：

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土壤分层和界面电阻对分层土壤电渗固结的影响：格林函数方法

在电渗固结过程中，界面电阻增加引起的有效电压衰减是一个重要现象，它会显着降低固结效果。本文提出了考虑有效电压衰减的水平石墨电极层状土壤中一维电渗固结的分析模型。该数学模型的特点是依赖于时间的源项和不连续的界面通量。引入新变量来均匀化不连续界面通量，并使用格林函数方法来求解具有非齐次边界的新非齐次控制方程。利用现有的解析解和数值结果进行了几个验证算例。参数研究表明，无论是否考虑有效电压衰减，层状土壤的电渗固结都不能用等效均质土壤精确模拟。此外，由于有效电压衰减，回流现象可能会发生，而当阳极置于低磁导率层时，回流现象可能会消失。此外，还研究了层状土壤中电极的最佳布置。当低磁导率层与高磁导率层厚度之比约为1/3时，将阴极安装在低磁导率层中，与将阳极安装在低磁导率层中相比，电渗效果可提高2倍之多。低渗透层。