An analytical solution of electroosmotic consolidation concerning effective voltage attenuation

Feng, Jianting; Shen, Yang; Liu, Hanlong; Shi, Wen

doi:10.1007/s11440-022-01671-w

Cited by 5 publications

(4 citation statements)

References 29 publications

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“…The vertical electrodes are widely used due to the relatively easy of construction and installation. However, the soil near the vertical anodes tends to crack, leading to the problem of increased electrical resistance, reduced electro‐osmotic efficiency, and non‐uniform soil reinforcement in the horizontal plane 17–19 . Recently, the horizontal electrode has attracted attention in ground improvement engineering due to its ability to minimize the soil cracks near the anode, enable the treated soil to be uniform in horizontal direction, and facilitate simultaneous dredging and consolidation 20,21 .…”

Section: Introductionmentioning

confidence: 99%

“…However, the soil near the vertical anodes tends to crack, leading to the problem of increased electrical resistance, reduced electro-osmotic efficiency, and non-uniform soil reinforcement in the horizontal plane. [17][18][19] Recently, the horizontal electrode has attracted attention in ground improvement engineering due to its ability to minimize the soil cracks near the anode, enable the treated soil to be uniform in horizontal direction, and facilitate simultaneous dredging and consolidation. 20,21 As is well known, the pore water can usually flow through the horizontal electrodes, which may result in the backfilled sand layer above the cathode and the unelectroosmotic layer under the anode affecting the drainage process of the electroosmotic layer.…”

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Analytical models for electroosmotic consolidation of layered soil systems considering the boundary effects of horizontal electrodes

Li,

Chen,

Zhuang

et al. 2024

Num Anal Meth Geomechanics

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The pore water can usually flow through the horizontal electrodes, resulting in the top sand layer and the bottom unelectroosmotic layer inevitably affecting the consolidation process of the electroosmotic layer. However, the traditional assumption of the fully drained or undrained electrode boundaries is unable to reflect these boundary effects. In this study, one‐dimensional analytical models for electroosmotic consolidation of the layered soil systems considering the boundary effects of horizontal electrodes are proposed. The solutions for the models are derived using the separate variable method and Laplace transform method. The rationality of the one‐dimensional model is also illustrated by comparing it with the results produced by the two‐dimensional model and the accuracies of the solutions are verified through a series of analytical and numerical validation examples. Parametric studies are conducted to investigate the effects of the sand layer and the unelectroosmotic layer on the consolidation process. Results show that both the sand layer and the unelectroosmotic layer may significantly delay the consolidation progress. The time factor corresponding to 90% average degree of consolidation (Tv_90%U*) can increase by over 1.5 times in comparison with the model without a sand layer when the permeability coefficient ratio of the subsoil to the upper layer reaches 10. The delayed effect is particularly pronounced when the thickness of the unelectroosmotic layer with higher compressibility is relatively larger, potentially resulting in a tenfold or even greater increase in Tv_90%U*.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%

Analytical models for electroosmotic consolidation of layered soil systems considering the boundary effects of horizontal electrodes

Li,

Chen,

Zhuang

et al. 2024

Num Anal Meth Geomechanics

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show abstract

“…the combined use with surcharge and vacuum preloading [15], non-linear properties of soil [16], and the decrease of effective voltage [18,19]. These models have made a significant contribution to the understanding of electro-osmotic performance.…”

Section: Introductionmentioning

confidence: 99%

Semi-analytical solution for one-dimensional coupling consolidation of original soil and electro-osmotic layer using horizontal electrodes

Li,

Luo,

Chen

2024

IOP Conf. Ser.: Earth Environ. Sci.

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The application of horizontal electro-kinetic geosynthetics for electro-osmotic consolidation is becoming increasingly widespread. Such horizontal electrodes are typically arranged at intervals, allowing pore water in original soil to pass through the intervals and penetrate into the electro-osmotic layer. In this study, a one-dimensional semi-analytical solution for a double-layered electro-osmotic system incorporating the original soil was presented and verified. The effects of the soil properties on the consolidation process were investigated. Results revealed that original soil can achieve a significant consolidation effect, even better than electro-osmotic dredged soil. A smaller permeability coefficient of original soil significantly prolongs the consolidation time, while a thicker original soil can improve the average consolidation effect of the two layers. The proposed model provides new electrode arrangement ideas and theoretical support for horizontal electro-kinetic geosynthetics for electro-osmotic reinforcement.

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“…20,24,25 The experimental results showed that as electro-osmosis proceeded, the interface resistance at the anode increased due to the development of cracks in the soil near the anode, leading to a decrease in the effective voltage. [25][26][27] There have been several theoretical studies on electroosmotic consolidation in single-layer soil considering the effective voltage attenuation, 20,28,29 which only considered the attenuation at the anode and ignored the interface resistance at the cathode. While experimental results show that the interface resistance at the cathode may cause significant effective voltage attenuation, 20,25 which inevitably affects the electroosmotic process.…”

Section: Introductionmentioning

confidence: 99%

Effect of soil layering and interface resistance on electro‐osmotic consolidation of layered soils: A Green's function approach

Chen,

Li,

et al. 2024

Num Anal Meth Geomechanics

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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.

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An analytical solution of electroosmotic consolidation concerning effective voltage attenuation

Cited by 5 publications

References 29 publications

Analytical models for electroosmotic consolidation of layered soil systems considering the boundary effects of horizontal electrodes

Analytical models for electroosmotic consolidation of layered soil systems considering the boundary effects of horizontal electrodes

Semi-analytical solution for one-dimensional coupling consolidation of original soil and electro-osmotic layer using horizontal electrodes

Effect of soil layering and interface resistance on electro‐osmotic consolidation of layered soils: A Green's function approach

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