Three-Dimensional Consolidation Theory of Vertical Drain Based on Continuous Drainage Boundary

Zhang, Yi; Wu, Wenbing; Mei, Guoxiong; Duan, Lijie

doi:10.3846/jcem.2019.8071

Cited by 22 publications

(10 citation statements)

References 29 publications

(25 reference statements)

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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%

See 2 more Smart Citations

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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“…Recently, Mei et al have proposed a continuous drainage boundary and obtained an analytical solution for the one‐dimensional consolidation of soil under instantaneous load. The continuous drainage boundary was later extended to investigate more general engineering cases by Liu and Lei, Wu et al, Sun et al, Feng et al, and Zhang et al However, the original continuous drainage boundary from Mei et al is only made available for the cases of instantaneous load; it may be irrational to apply it directly into the cases of time‐dependent load, because there is a phenomenon of pore‐water pressure superposition in the latter cases (see detailed explanation in below sections). Therefore, a general continuous drainage boundary suitable for arbitrary time‐dependent load will be developed in this study.…”

Section: Introductionmentioning

confidence: 99%

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

Tian

Jiang

et al. 2020

Num Anal Meth Geomechanics

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In engineering practice, a rapid loading rate can result in ground failure when the strength of soft soils is relatively low, and a multistage loading scheme is always utilized to deal with this situation. Firstly, under a multistage load and the continuous drainage boundary, an analytical solution of excess pore-water pressure and consolidation degree is obtained by virtue of the superposition formula of excess pore-water pressure, and a more general continuous drainage boundary under arbitrary time-dependent load is developed. Then, a comparison with existing analytical solutions is conducted to verify the present solution. A preliminary attempt on applying the continuous drainage boundary into the finite element model is made, and the feasibility of the numerical model for the one-dimensional consolidation under the continuous drainage boundary is verified by comparing the results calculated by FEM with that from present analytical solution. Finally, the consolidation behavior of soil is investigated in detail for different int erface parameters or loading scheme.The results show that, in land reclamation projects, a horizontal drain should be placed close to the boundary with a smaller interface parameter to improve the consolidation efficiency. The degree of consolidation is also related to the applied time-dependent load and interface parameters. K E Y W O R D Sconsolidation, continuous drainage boundary, degree of consolidation, interface parameter, multistage load

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“…Sun et al [41] established a general analytical solution for the one-dimensional consolidation of soil for the continuous drainage boundary under a ramp load. Zhang et al [42] analyzed the excess pore water pressure and the average degree of consolidation under the continuous drainage boundary conditions and discussed the effect of the drainage capacity of the top surface, the smear effect, and the well resistance on consolidation. However, there are few reports on the one-dimensional consolidation theory with the continuous drainage boundary of double-layer soil and its application in marine soft soil engineering.…”

Section: Introductionmentioning

confidence: 99%

Improved Double-Layer Soil Consolidation Theory and Its Application in Marine Soft Soil Engineering

Chen

Luo

Liu

et al. 2019

JMSE

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Marine soft soil foundation is a double-layer foundation structure with a crust layer and soft substratum. Moreover, it is common that there are various forms of drainage. Accordingly, based on Terzaghi’s consolidation theory and the continuous drainage boundary conditions theory of controllable drainage conditions, an improved double-layer soil consolidation theory considering continuous drainage boundary conditions was proposed. To improve the computational efficiency and accuracy, the Laplace transform and the Stehfest algorithm was used to deduce the numerical solution of the improved double-layer soil consolidation theory considering continuous drainage boundary conditions and to compile a computer program. Subsequently, the theory was validated and analyzed by the degenerated model of the perfectly permeable boundary conditions and the semi-permeable boundary conditions, respectively, which showed that this theory has higher accuracy. Simultaneously, the analysis of double-layer consolidation settlement under continuous drainage boundary conditions for marine soft soil foundation of Guangxi Binhai Highway was carried on. The result showed that the consolidation settlement calculated by the improved double-layer consolidation theory presented is basically consistent with the field measurement results, and that the correlation coefficient between them is higher. Accordingly, the research results can provide useful basic information for marine soft foundation engineering.

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Three-Dimensional Consolidation Theory of Vertical Drain Based on Continuous Drainage Boundary

Cited by 22 publications

References 29 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

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

Improved Double-Layer Soil Consolidation Theory and Its Application in Marine Soft Soil Engineering

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