Large-Strain Vacuum-Assisted Consolidation with Non-Darcian Radial Flow Incorporating Varying Permeability and Compressibility

Indraratna, Buddhima; Zhong, Rui; Fox, Patrick J.; Rujikiatkamjorn, Cholachat

doi:10.1061/(asce)gt.1943-5606.0001599

Cited by 72 publications

(42 citation statements)

References 28 publications

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“…As stated above, the finite difference method (FDM) is introduced to develop the numerical solution for (21). Firstly, the spatial domain 0 ≤ ≤ 0 is subdivided into equal elements from the top down by the proportional spacing Δa.…”

Section: Discretization Of the Governing Equationmentioning

confidence: 99%

“…in which V signifies the seepage velocity, k represents the vertical hydraulic conductivity, i represents the hydraulic gradient, and is the non-Darcian flow exponent. Based on (1), many studies have incorporated this flow law into the theories of consolidation [17][18][19][20][21]. All studies above, however, accounted for small strain consolidation rather than large strain consolidation.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Solution of Nonlinear Large Strain Consolidation Based on Non-Darcian Flow

Zhao

Gong

2019

Mathematical Problems in Engineering

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In this paper, based on non-Darcian flow, the governing equation of 1D nonlinear large strain consolidation is established, which comprehensively accounts for vertical strain, soil self-weight, geometrical nonlinearity, continuity of pore water flow, the relative velocity of the fluid and solid phases, and changing compressibility and hydraulic conductivity during consolidation. Then the numerical solution is obtained with the finite difference method (FDM). Verification of the FDM solution shows excellent accuracy. On this basis, we investigate the influence of the non-Darcian flow on consolidation behavior. The results show that the increase of the non-Darcian exponent will accelerate the consolidation rate in the beginning, while slowing down the consolidation rate in the end. However, it has no effect on the final settlement of the soil layer. In addition, boundary drainage conditions have a huge impact on the consolidation rate, whether it is Darcian or non-Darcian flow.

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Section: Discretization Of the Governing Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Numerical Solution of Nonlinear Large Strain Consolidation Based on Non-Darcian Flow

Zhao

Gong

2019

Mathematical Problems in Engineering

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“…Case C (CLASS A prediction): In this case, a large strain consolidation model recently introduced by Indraratna et al, [34] was used. This model also captures non-Darcian flow with varying compressibility and permeability.…”

Section: Integrated Unit Cell Analytical Approachmentioning

confidence: 99%

Class A and C predictions for Ballina trial embankment with vertical drains using standard test data from industry and large diameter test specimens

Indraratna

Baral

Rujikiatkamjorn

et al. 2018

Computers and Geotechnics

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“…However, it was only applicable in the case of instantaneous loading. In addition, Indraratna et al developed a numerical solution for large‐strain consolidation incorporating non‐Darcian radial flow with varying compressibility and permeability coefficients.…”

Section: Introductionmentioning

confidence: 99%

Model for large strain consolidation with non‐Darcian flow described by a flow exponent and threshold gradient

Zhao

Gong

2019

Num Anal Meth Geomechanics

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Summary Many pieces of evidence have confirmed that the seepage in fine‐grained soils can deviate from traditional Darcy's law that contributes to the consolidation theory. In this paper, a numerical model, referred to as consolidation with non‐Darcian flow 2 (CNDF2), is developed for the 1D large strain consolidation of a saturated porous medium with the non‐Darcian flow. The algorithm accounts for vertical strain, general constitutive relationships, the relative velocity of the fluid and solid phases, variable compressibility and permeability relation during consolidation, time‐dependent loading, and unload/reload effects. Compared with the CS2 model proposed in previous studies, some parts of the CNDF2 model are modified in order to adapt to the non‐Darcian flow, especially the equivalent series hydraulic conductivity and fluid flow. The verification examples of the CNDF2 model demonstrate excellent accuracy for both small strain and large strain consolidation. According to the applicable conditions of non‐Darcian flow law, the CNDF2 model is most suitable for the fine‐grained soil. The development of CNDF2 is first presented, followed by examples to analyze the influences of the non‐Darcian flow on the consolidation behavior.

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Large-Strain Vacuum-Assisted Consolidation with Non-Darcian Radial Flow Incorporating Varying Permeability and Compressibility

Cited by 72 publications

References 28 publications

Numerical Solution of Nonlinear Large Strain Consolidation Based on Non-Darcian Flow

Numerical Solution of Nonlinear Large Strain Consolidation Based on Non-Darcian Flow

Class A and C predictions for Ballina trial embankment with vertical drains using standard test data from industry and large diameter test specimens

Model for large strain consolidation with non‐Darcian flow described by a flow exponent and threshold gradient

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