Analytical solution for one-dimensional electro-osmotic consolidation of double–layered system

Zhao, Xudong; Liu, Y.; Gong, Wenhui

doi:10.1016/j.compgeo.2020.103496

Cited by 40 publications

(38 citation statements)

References 67 publications

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“…Due to the strong stability and high calculation accuracy of the finite difference method for solving partial differential equations, this method is widely used for the consolidation analysis of soft soils. 4,40,57,58 To further verify the correctness of the analytical solutions presented in this study, the governing Equation ( 13) can be solved by the finite difference method with the corresponding initial conditions and boundary conditions. 57…”

Section: Comparison With the Finite Difference Solutionsmentioning

confidence: 95%

General analytical solutions for one‐dimensional nonlinear consolidation of saturated clay under non‐isothermal distribution condition

Jiang

et al. 2022

Num Anal Meth Geomechanics

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The fluctuation of temperature leads to the changes of physical‐mechanical properties of clayey soils. In some practical projects such as landfills, the compacted clay liner is usually subjected to a non‐isothermal distribution state. For one‐dimensional nonlinear consolidation process of saturated clay under non‐isothermal distribution condition, the general analytical solutions considering time‐dependent loading are derived for the first time, where the methods of algebraic transformation and separation variable are used. Moreover, two forms of boundary conditions are included according to engineering practice. Referring to the proposed general analytical solutions, the expressions for the analytical solutions under instantaneous loading pattern and single‐stage linear loading pattern are developed. Besides, the correctness of the presented analytical solutions is validated by comparing with the existing analytical solutions and finite difference solutions. Based on the proposed analytical solutions, the influence of temperature gradient, final loading and loading time on the consolidation behaviors is analyzed. It is found that the increase in temperature gradient accelerates the consolidation rate, and the average volume compressibility coefficient decreases by 65.4% when final loading increases from 50 to 500 kPa. In conclusion, the analytical solutions proposed in this study are more comprehensive and can be applied in different engineering cases.

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Section: Comparison With the Finite Difference Solutionsmentioning

confidence: 95%

General analytical solutions for one‐dimensional nonlinear consolidation of saturated clay under non‐isothermal distribution condition

Jiang

et al. 2022

Num Anal Meth Geomechanics

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“…Terzaghi 1 introduced the theory of the 1D (one‐dimensional) saturated soil consolidation model, and since then, the research on soil consolidation in the geotechnical engineering field has been rapidly developed. A series of breakthroughs have been made to remove the basic assumptions in Terzaghi's consolidation theory, 1,2 resulting in several theories or models such as large‐strain consolidation, 3–5 electro‐osmotic consolidation, 6 unsaturated soil consolidation models, 7 etc. The research on consolidation properties of unsaturated soils has attracted widespread attention and interest during the last few decades.…”

Section: Introductionmentioning

confidence: 99%

An analytical model for 2D consolidation of unsaturated soil with semi‐permeable boundaries considering self‐weight stress and time‐dependent loading

Liu

Zheng

2023

Num Anal Meth Geomechanics

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This paper proposes an analytical solution for 2D (two-dimensional) consolidation of unsaturated soil with impeded drainage boundaries by considering the combined effects of self-weight stress of soil and time-dependent loading. The governing equation of the 2D consolidation model was first formulated, followed by an analytical solution employing the methods of the Laplace transform technique and separation of variables. The solution is then degraded to validate the correctness against two classical lab tests and existing solutions. Subsequently, the proposed solution is further verified against finite element calculations. The results indicate that the self-weight stress of soil acts as an additional load applied to the unsaturated soil, the larger the self-weight stress, the greater the value of initial EPPs (excess pore pressures). Meanwhile, it can be easily found that the larger the value of self-weight stress, the larger the consolidation settlement.Without accounting for the effect of self-weight stress, the settlement of the soil will certainly be underestimated and the dissipation characteristics of EPPs will not be accurately captured. It can be also found that the ratio of k a /k w also significantly influenced the consolidation behavior.

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“…With the rapid consolidation process, soft soils gain shear strength rapidly which allows for a faster pace of construction works. Tis signifcantly increases the long-term stability of the structures built on clayey ground as the potential consolidation settlements are accomplished mostly before or during the construction phase [14][15][16][17][18][19][20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Consolidation Attributes and Deformation Response of Soft Clay Reinforced with Vertical Scoria Drains under Road Embankment

Gebretsadik

Melese

Negesa

2023

Advances in Materials Science and Engineering

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Application of vertical drains in soft clay soils is a common practice widely known to facilitate the consolidation rate. To overcome the adverse impact of a long-lasting consolidation process, highly permeable materials such as sand and crushed aggregates are used as drains. However, limited information exists regarding the applicability of scoria gravel as a vertical drain that no concisely documented information is observed in the literature. This study hence aimed at investigating suitability of scoria as a vertical drain in perpetuating the consolidation process of soft clay under highway embankment. Finite element-based numerical simulation was used to model the drain. The model was carried out by using 3D version of Plaxis software. In order to incorporate the effect of gradual load increment on the consolidation rate, the staged construction approach was employed. Both the square and triangular installation patterns were considered in the model in order to explore the critical effects of the drain installation pattern on the rate of consolidation. The numerical analysis also included varying dimensions of the vertical drain so as to investigate the effects of the dimension parameters of the vertically installed scoria drains. The conducted numerical analysis revealed that the rate of consolidation was considerably accelerated with provision of a group of scoria drains. With increase in the diameter of the drain, the consolidation rate increases, whereas the consolidation rate is inversely related to increase in drain spacing. For the drain installed at a spacing of 2 m, a diameter of 0.4 m, and a length of 8 m any arbitrary settlement magnitude is achieved 25 days earlier than the case without drains. Besides, incorporation of scoria drains lessens the pore pressure developed. The comparative analysis conducted on the effect of drain arrangement revealed that no considerable difference was witnessed in the performance of the square and triangular installation patterns even though the consolidation rate remains slightly faster in the case of the triangular installation pattern.

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Analytical solution for one-dimensional electro-osmotic consolidation of double–layered system

Cited by 40 publications

References 67 publications

General analytical solutions for one‐dimensional nonlinear consolidation of saturated clay under non‐isothermal distribution condition

General analytical solutions for one‐dimensional nonlinear consolidation of saturated clay under non‐isothermal distribution condition

An analytical model for 2D consolidation of unsaturated soil with semi‐permeable boundaries considering self‐weight stress and time‐dependent loading

Consolidation Attributes and Deformation Response of Soft Clay Reinforced with Vertical Scoria Drains under Road Embankment

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