An Analytical Solution for 2D Plane Strain Consolidation in Unsaturated Soils with Lateral and Vertical Semipermeable Drainage Boundaries under Time-Dependent Loading

Liu, Y.; Zheng, Junjie; You, Lihua; Lu, Jia‐Tai; Cui, Lan; Yang, Wei; Huang, Zhanfang

doi:10.1061/(asce)gm.1943-5622.0002508

Cited by 13 publications

(13 citation statements)

References 31 publications

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“…Meanwhile, before deriving the governing equations, it is necessary to give some widely accepted assumptions. 14,[16][17][18]20,[23][24][25][26] That is, the soil is homogeneous, and both soil and water are incompressible; the movements of water and air phases are independent; external time-dependent loading is uniform and widely distributed, and the settlement occurs only along vertical direction; the permeability coefficient of the soil remains constant during consolidation process; the effects of temperature, chemical action, etc. are not considered.…”

Section: Basic Assumptions and Governing Equationsmentioning

confidence: 99%

“…Wang et al 18 put forward a consolidation model under different boundary conditions by considering time-dependent loading. Ho et al [23][24][25] further incorporated the effect of time-dependent loading into the well-established models of 1D, 11 2D, 12 and axisymmetric consolidation 13 models. The results indicated that the time-dependent loading redefined the dissipation pattern of EPPs and settlements compared to the constant external loading.…”

Section: Introductionmentioning

confidence: 99%

“…The influences on the consolidation by accounting for the time‐dependent loading have been identified. Very recently, Liu et al 26 . reported a closed‐form solution for 2D unsaturated soil consolidation model with four impeded drainage boundaries and time‐varied loading of the exponential type.…”

Section: Introductionmentioning

confidence: 99%

“…All these investigations indicate that it is considered to be more relevant to include self‐weight stress in the consolidation model. Meanwhile, only exponential time‐varied loading has been incorporated in the current comprehensive 2D unsaturated soil consolidation model, 26 additional forms of time‐dependent loading still deserve to be investigated in sight.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Basic Assumptions and Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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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“…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 heat exchange in energy pile ground considering smear effects

Zhao,

Ni,

Liu

et al. 2023

Num Anal Meth Geomechanics

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Due to the installation of energy piles, the surrounding soil will be inevitably disturbed, leading to a smaller void ratio and larger thermal conductivity. This study proposes a new closed‐form solution to calculate the heat exchange of energy pile foundations considering smear effects on the different soil thermal properties in the smear zone and undisturbed zone. The analytical model adopts the separation of variables to solve the governing equations. The eigenvalues are obtained according to a series of recurrence formulas and a transcendental equation. The solution is verified against existing analytical solutions in literature and numerical simulation, and an excellent agreement is obtained. The parametric study shows that a larger thermal conductivity of the soil in the smear zone results in a lower temperature at any given time. If the smear effects are not considered, the temperature will be overpredicted, especially for the pile and the soil in the smear zone. The proposed solution precisely predicts the soil temperature in the smear zone and undisturbed zone, which can contribute to the thermo‐mechanical behaviour of energy pile foundations in further work.

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An Analytical Solution for 2D Plane Strain Consolidation in Unsaturated Soils with Lateral and Vertical Semipermeable Drainage Boundaries under Time-Dependent Loading

Cited by 13 publications

References 31 publications

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

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

Analytical solution for heat exchange in energy pile ground considering smear effects

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