One‐dimensional consolidation of soil under multistage load based on continuous drainage boundary

Tian, Yun; Wu, Wenbing; Jiang, Guosheng; Naggar, M. Hesham El; Mei, Guoxiong; Xu, Meijuan; Liang, Rongzhu

doi:10.1002/nag.3055

Cited by 39 publications

(20 citation statements)

References 21 publications

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“…When b ≠ c , the distribution of the excess pore water pressure along the depth of soil is asymmetric, and the position of its maximum is closer to the boundary with a smaller interface parameter. This result makes sense as the larger the interface parameter, the stronger the drainage capacity of the corresponding boundary, and this is consistent with previous studies 21–27 …”

Section: Verification Of the Analytical Solutionsupporting

confidence: 92%

“…This result makes sense as the larger the interface parameter, the stronger the drainage capacity of the corresponding boundary, and this is consistent with previous studies. [21][22][23][24][25][26][27] Figure 5 illustrates the comparison between the excess pore water pressure of a single-layered soil calculated by Schiffman's solution and that from the present solution when b and c are big enough, where Schiffman's solution is based on the double-sided pervious boundaries. It is obvious that the results from Schiffman's solution are consistent with those from the present solution when the interface parameters are big enough.…”

Section: Verification Of the Analytical Solutionmentioning

confidence: 97%

“…The continuous drainage boundary can reflect the boundary drainage capacity between completely permeable and impervious, and its expression is very simple, which can reflect the dissipation of pore water pressure at the boundary over time during the consolidation process. By introducing the continuous drainage boundary, some general solutions including Terzaghi's solution have been later developed for various consolidation problems, [21][22][23][24][25][26][27] but in which the stratification of the soil is still not considered.…”

Section: Introductionmentioning

confidence: 99%

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One‐dimensional consolidation of layered soils under ramp load based on continuous drainage boundary

Yang

Zong

Tian

et al. 2020

Num Anal Meth Geomechanics

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The traditional drainage boundary regards the drainage boundary as completely permeable or completely impervious. However, the drainage boundary is an impeded drainage boundary between completely permeable and impervious in engineering practice. In view of this, a new drainage boundary, namely the continuous drainage boundary, is introduced in this paper to study the consolidation problem of layered soils. First, the governing equations for the one-dimensional consolidation problem of layered soils subjected to a ramp load are established.Then, the analytical solution of excess pore water pressure and average consolidation degree is derived by means of Laplace transform and matrix transfer method. The present solution is verified by degenerating it and comparing with existing solutions. Based on the present solution, the consolidation behavior of the layered soils is investigated by conducting a detailed parametric study. The results show that, both the interface parameters of boundaries and the stratification of the layered soils can heavily affect the distribution of the excess pore water pressure along the depth, thereby influence the plane of the maximum excess pore water pressure. Therefore, the interface parameters of boundaries and the soil stratification should be comprehensively considered in the optimization for the horizontal drains.

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Section: Verification Of the Analytical Solutionsupporting

confidence: 92%

Section: Verification Of the Analytical Solutionmentioning

confidence: 97%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

One‐dimensional consolidation of layered soils under ramp load based on continuous drainage boundary

Yang

Zong

Tian

et al. 2020

Num Anal Meth Geomechanics

Self Cite

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“…However, the present solution is just for homogeneous soil. Tian et al [29] obtained an analytical solution of excess pore-water pressure under a multistage load and the continuous drainage boundary. A different conclusion from Terzaghi's one-dimensional consolidation theory was obtained; that is, the degree of consolidation is also related to the applied time-dependent load.…”

Section: Introductionmentioning

confidence: 99%

Measurement and Investigation on 1-D Consolidation Permeability of Saturated Clay considering Consolidation Stress Ratio and Stress History

Dang

Gao

et al. 2021

Geofluids

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To study the influence of consolidation stress ratio and stress history on 1-D consolidation permeability of saturated clay, one-dimensional consolidation permeability tests were carried out with GDS triaxial device. The results indicated that the permeability coefficient and void ratio of normally and overconsolidated saturated clay decreased with the increase of consolidation stress ratio under different consolidation stress ratios but the same stress history. And the amount of final sample’s compression increased with the increase of the consolidation stress ratio. Under the condition of the same consolidation stress ratio but different stress history, the amount of final compression of the overconsolidated saturated clay was smaller than that of the normally consolidated saturated clay. Besides, the stress difference σdv between consolidation pressure σ and gravity stress σ c z was fitted to the amount of the final sample’s compression, and a good linear relationship between the stress difference σ d v and the amount of the final sample’s compression under each consolidation pressure was obtained. The results showed that it is necessary to consider the influence of consolidation stress ratio and stress history simultaneously on 1-D consolidation permeability of saturated clay. Meanwhile, it can accurately predict the amount of the final sample’s compression after knowing the gravity stress. Moreover, a model prediction analysis was conducted on the saturated clay and recommended to use the modified Kozeny-Carman’s equation to predict the permeability coefficient of Luochuan saturated clay during one-dimensional consolidation.

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“…), that then increases the time of dissipation of excess heads and the time of stabilization of the soil base of the structure. tion consolidation processes by mathematical modeling and computer simulation methods [15][16][17] disregard the effects of bio-clogging. However, bio-clogging is associated with a decrease in the volume of pores, which, in turn, can affect the dynamics of consolidation processes that are also associated with changes in the volume of pore space.…”

Section: Introductionmentioning

confidence: 99%

Constructing a mathematical model and studying numerically the effect of bio-clogging on soil filtration consolidation

Ivanchuk¹,

Martyniuk²,

Michuta³

et al. 2021

EEJET

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Mathematical modeling and computer simulation methods have been used to investigate the extent of influence exerted by bio-clogging on the dynamics of excess head scattering in the soil massif. To this end, the classical equation of filtration consolidation has been modified for the case of variable porosity resulting from changes in the biomass. The numerical solution to the constructed mathematical model in the form of a nonlinear boundary problem was derived by a finite-element method. Numerical experiments were carried out and their analysis was performed. Specifically, this paper shows the charts of pressure differences in the soil array when neglecting bio-clogging and when estimating the effects exerted by bio-clogging at specific points in time. The numerical experiments demonstrated that in two years after the onset of the consolidation process in the neighborhood of the lower limit of the examined soil mass with a thickness of 10 meters, excess heads fall from the initial value of 10 m to 4 m. The greatest impact from the clogging of pores by microorganisms is revealed in the neighborhood of an upper limit. At a depth of 1 m, at t=180 days, the pressure difference reaches 2.4 m. This is about 200 % of the pressure distribution without taking into account the effects of bio-clogging. Over time, the effect of bacteria on the distribution of pressures in the neighborhood of the upper boundary decreases. However, this effect extends to the entire soil mass, up to the lower limit. Thus, at t=540 days, at the lower limit, the effect of bio-clogging leads to that excess heads are 1.8 m greater than for the case of pure water filtration (a relative increase of about 80 %). Bio-clogging processes are intensified as a result of the development of microorganisms when organic chemicals enter the porous environment. Therefore, from a practical point of view, studying them is especially relevant for household waste storage facilities and the stability of their soil bases. It is advisable to undertake research by using the methods of mathematical modeling and computer simulation

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One‐dimensional consolidation of soil under multistage load based on continuous drainage boundary

Cited by 39 publications

References 21 publications

One‐dimensional consolidation of layered soils under ramp load based on continuous drainage boundary

One‐dimensional consolidation of layered soils under ramp load based on continuous drainage boundary

Measurement and Investigation on 1-D Consolidation Permeability of Saturated Clay considering Consolidation Stress Ratio and Stress History

Constructing a mathematical model and studying numerically the effect of bio-clogging on soil filtration consolidation

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