Analytical Solution for 2D Electro-Osmotic Consolidation of Unsaturated Soil With Non-linear Voltage Distribution

IF 3.4 2区工程技术 Q2 ENGINEERING, GEOLOGICAL

International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-09-27 DOI:10.1002/nag.3854

Xudong Zhao, Jie Min, Shaolin Ding, Yang Liu, Jiaxin Liao, Shuai Zhang

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Abstract

Existing solutions for electro-osmotic consolidation assume a linear voltage distribution, which is inconsistent with the experimental findings. The present study introduces a novel two-dimensional electro-osmotic consolidation model for unsaturated soils, which considers the influence of non-linear voltage distribution. The closed-form solution is derived by employing the eigenfunction expansion method and the Laplace transform technique. The accuracy of the analytical solutions is validated through the implementation of finite element simulations. The findings from the parametric studies indicate that the excess pore water pressure (EPWP) observed in electro-osmotic consolidation is influenced by the distribution of voltage. The dissipation rate of EPWP is observed to be higher when subjected to non-linear voltage conditions compared to linear voltage conditions. Moreover, the impact of non-linear voltage distribution becomes more pronounced in unsaturated soil characterised by higher electro-osmosis conductivity and a lower ratio of k_x/k_y. In contrast, the excess pore air pressure (EPAP) remains unaffected by the voltage distribution.

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非线性电压分布下非饱和土二维电渗透固结的解析解

现有的电渗固结解决方案假设电压为线性分布，这与实验结果不一致。本研究介绍了一种新的非饱和土壤二维电渗固结模型，该模型考虑了非线性电压分布的影响。利用特征函数展开法和拉普拉斯变换技术得出了闭式解。通过实施有限元模拟，验证了分析解的准确性。参数研究结果表明，在电渗固结中观察到的过剩孔隙水压力（EPWP）受电压分布的影响。与线性电压条件相比，在非线性电压条件下，EPWP 的耗散率更高。此外，非线性电压分布对非饱和土壤的影响更加明显，因为非饱和土壤的特点是电渗电导率较高，kx/ky 比值较低。相比之下，过剩孔隙气压（EPAP）仍然不受电压分布的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal for Numerical and Analytical Methods in Geomechanics 工程技术-材料科学：综合

CiteScore

6.40

自引率

12.50%

发文量

160

审稿时长

9 months

期刊介绍： The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.