Law of nonlinear flow in saturated clays and radial consolidation

邓英尔,; 谢和平,; 黄润秋,; 刘慈群,

doi:10.1007/s10483-007-1102-7

Cited by 18 publications

(5 citation statements)

References 4 publications

(6 reference statements)

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“…It is noted in work [8] that, since the thickness of pores in clay soils varies from 0.01 to 0.1 μm, the interaction of "solid parts-liquid" significantly affects the flow in these pores. The result was the assumption, put forward and substantiated, about the nonlinearity of the filtration law in saturated clay soils.…”

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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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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“…然而在低渗透岩土介质中, 渗流规律不再符合达西定律. Deng等人 [2] 、Cui等人 [3] 研究发现在岩土中的饱和、非饱和渗流运动过程偏离了达西定律. 郝斐等人 [4] , 时宇等人 [5] 进一步研究了以出现启动水力梯度为主要特征的非线性渗流现象.…”

Section: 导率unclassified

The study on non-Darcy seepage equation of low velocity flow

Wang¹,

Zhou²,

Zhong³

et al. 2017

Sci. Sin.-Phys. Mech. Astron.

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Effect of thermal radiation on mixed convection of a nanofluid from an inclined wavy surface embedded in a non-Darcy porous medium with wall heat flux Propulsion and Power Research 7, 147 (2018); Darcy-Forchheimer relation in Casson type MHD nanofluid flow over non-linear stretching surface Propulsion and Power Research 9, 159 (2020); An unsteady seepage flow model considering kickoff pressure gradient for low-permeability gas reservoirs Petroleum Exploration and Development 35, 457 (2008); Effects of velocity and thermal wall slip on magnetohydrodynamics (MHD) boundary layer viscous flow and heat transfer of a nanofluid over a non-linearly-stretching sheet: a numerical study

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“…33 He 33 also proposed an NDF rule in segmentation function form and found that the calculated results matched better with the field observations by applying the flow relations to consolidation. The kinds of literature [34][35][36][37][38] have introduced this flow rule into the analysis of 1D consolidation, or sand-drained ground consolidation, and concluded that Hansbo's flow rule has a delaying effect on consolidation. However, Hansbo's flow rule is expressed by a piecewise function, and the parameters are complicated to determine.…”

Section: Introductionmentioning

confidence: 99%

One‐dimensional nonlinear creep consolidation of soft soils with time‐dependent drainage boundary under construction load

Cui

Cao

Liu

et al. 2023

Num Anal Meth Geomechanics

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To further investigate the nonlinear creep properties of soft soils and the effect of variable loading, a one-dimensional (1D) nonlinear creep consolidation system of soft soils under construction load is established, including time-dependent drainage (TDD) boundary, elastic-viscous-plastic deformation, non-Darcy flow (NDF), and self-weight stress. The consolidation problem is presented by virtue of the finite volume method, and the associated calculation program is compiled. The efficiency of the numerical solutions is validated by comparing the degenerated solution against analytical, semi-analytical, and numerical solutions. Then the influences of construction load and nonlinear creep model parameters on consolidation are studied. The results show that TDD boundary and construction load significantly affect consolidation, and the larger the loading rate and interface parameter, the faster soil's overall dissipation process of excess porewater pressure (EPP). Meanwhile, at the earlier consolidation stage, considering the secondary consolidation effect will cause an increase in excess pore-water pressure (EPP). Prolonging the construction period, decreasing the interface parameter, considering the self-weight stress, or increasing the non-Newtonian index will all aggravate this phenomenon. Additionally, the TDD boundary, construction load, and non-Newtonian index flow (NNIF) are not a determinant for final soil settlement.

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Law of nonlinear flow in saturated clays and radial consolidation

Cited by 18 publications

References 4 publications

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

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

The study on non-Darcy seepage equation of low velocity flow

One‐dimensional nonlinear creep consolidation of soft soils with time‐dependent drainage boundary under construction load

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