Finite Element Analysis of Biot’s Consolidation with a Coupled Nonlinear Flow Model

Deng, Yue-Bao; Liu, Ganbin; Zheng, Rong; Xie, Kongliang

doi:10.1155/2016/3047213

Cited by 6 publications

(5 citation statements)

References 22 publications

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“…The physical properties of Wenzhou clay are listed in Table 1. (1) Mesh Division Several studies on finite element meshing of consolidation by vertical drain have been conducted by various scholars, such as Xie, Chen, and Deng [19][20][21][22]. From their findings, two essential conclusions can be drawn.…”

Section: Axisymmetric Biot's Consolidation Model (Real Strain Consoli...mentioning

confidence: 99%

“…Firstly, the horizontal element size of the soil surrounding the vertical drain has a significant impact on the level of consolidation achieved-larger horizontal elements result in faster consolidation. Secondly, to obtain (1) Mesh Division Several studies on finite element meshing of consolidation by vertical drain have been conducted by various scholars, such as Xie, Chen, and Deng [19][20][21][22]. From their findings, two essential conclusions can be drawn.…”

Section: Axisymmetric Biot's Consolidation Model (Real Strain Consoli...mentioning

confidence: 99%

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Analysis of Consolidation by Vertical Drain with Vacuum Preloading Based on Axisymmetric Biot’s Consolidation Theory

et al. 2023

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A model of consolidation for a single-drain well under vacuum preloading, based on Biot’s axisymmetric theory and considering the “real strain” hypothesis, was established using the finite element method. Degenerating the consolidation equation of real strain yielded the Barron’s classical free strain and equal strain equations. The free strain and equal strain finite element models were derived by imposing boundary and constraint conditions on the real strain FEM model. The validation of the simulation process confirmed that the numerical model achieved consistent outcomes, with the theoretical values postulating its effectiveness. The real strain model revealed the Mandel–Cryer effect of soil near the vertical drain during the initial vacuum preloading consolidation process, causing the effective stress to increase more than the effective stress generated by the vacuum pressure and leading to a greater reduction in the void ratio. This phenomenon is one of the reasons for clogging during the vacuum preloading process. However, the free strain and equal strain models cannot produce this effect because they cannot describe the coupling between soil deformation and fluid flow. The parameter analysis of the real strain model showed that as Poisson’s ratio for soil decreased, the consolidation rate of soil also decreased, while the Mandel–Cryer effect of soil increased.

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Section: Axisymmetric Biot's Consolidation Model (Real Strain Consoli...mentioning

confidence: 99%

Section: Axisymmetric Biot's Consolidation Model (Real Strain Consoli...mentioning

confidence: 99%

Analysis of Consolidation by Vertical Drain with Vacuum Preloading Based on Axisymmetric Biot’s Consolidation Theory

et al. 2023

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“…Several effects were taken into consideration in work [11]. First, nonlinear Darcy's law was used as a filtration law (non-Darcy Hansbo's flow).…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

A finite-element study of elastic filtration in soils with thin inclusions

Michuta¹,

Ivanchuk²,

Martyniuk³

et al. 2020

EEJET

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Soil environments are heterogeneous in their nature. This heterogeneity creates significant difficulties both in terms of construction practice and in terms of the mathematical modeling and computer simulation of the physical-chemical processes in these heterogeneous soil arrays. From the standpoint of mathematical modeling, the issue is the discontinuity of functions, which characterize the examined processes, on such inclusions. Moreover, the characteristics of such inclusions may depend on the defining functions of the processes studied (head, temperature, humidity, the concentration of chemicals, and their gradients). And this requires the modification of conjugation conditions and leads to the nonlinear boundary-value problems in heterogeneous areas. That is why this work has examined the impact of the existence of thin inclusions on the conjugation conditions for the defining functions of the filtration and geomigration processes on them. The conjugation condition for heads has also been modified while the mathematical model of an elastic filtration mode in a heterogeneous array of soil, which contains thin weakly permeable inclusions, has been improved. The improvement implies the modification of conjugation conditions for heads on thin inclusions when the filtering factor of the inclusion itself is nonlinearly dependent on the head gradient. The numerical solution to the corresponding nonlinear boundary-value problem has been found using a finite-element method. A series of numerical experiments were conducted and their analysis was carried out. The possibility of a significant impact on the head jump has been shown taking into consideration the dependence of filtration characteristics of an inclusion on head gradients. In particular, the relative difference of head jumps lies between 26 % and 99 % relative to the problem with a stable filtration factor for an inclusion. In other words, when conducting forecast calculations, the influence of such dependences cannot be neglected

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“…Moreover, Kianfar et al presented a radial consolidation model with the consideration of non‐Darcian flow and the effects of vacuum preloading. Deng et al incorporated non‐Darcian flow into Biot's general consolidation theory for a consolidation simulation of normally consolidated soft ground. Mishra and Patra developed a one‐dimensional small strain consolidation equation in terms of excess pore pressure and obtained the corresponding numerical solution with FEM.…”

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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Finite Element Analysis of Biot’s Consolidation with a Coupled Nonlinear Flow Model

Cited by 6 publications

References 22 publications

Analysis of Consolidation by Vertical Drain with Vacuum Preloading Based on Axisymmetric Biot’s Consolidation Theory

Analysis of Consolidation by Vertical Drain with Vacuum Preloading Based on Axisymmetric Biot’s Consolidation Theory

A finite-element study of elastic filtration in soils with thin inclusions

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

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