Semianalytical Solution of One-Dimensional Consolidation of Multilayered Unsaturated Soils

Li, Linzhong; Qin, Aifang; Jiang, Lianghua

doi:10.1061/(asce)gm.1943-5622.0002086

Cited by 5 publications

(11 citation statements)

References 43 publications

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“…In this section, the depth-dependent stress degenerates into the constant load that does not vary with depth and time. The current solutions considering the constant load are compared with the existing solutions 11 to verify the validity of solutions proposed in this paper. It should be noted that the semi-analytical solutions of the consolidation for unsaturated soils considering the multistep loading can be scarcely found in the literature.…”

Section: Verificationmentioning

confidence: 99%

“…On the other side, it is acceptable to assume that the permeability coefficient of water is constant during the transient process for a particular stress increment. [7][8][9][10][11][12]…”

Section: Calculation Model and Basic Assumptionsmentioning

confidence: 99%

“…However, for the foundation with highly or poorly permeable boundary conditions (which are considered in this manuscript), the presented boundary conditions (Equations ( 4) and ( 5)) could be meaningful to simplify the derivative process and obtain the analysis that we expect. [1][2][3][4][5][6][7][8][9][10][11][12] Moreover, the object of the present study is to study the influence of the multistage loading upon the consolidation patterns rather than the boundary conditions (which have been widely discussed in other literature). On the other hand, the loading types will not pose extra influence on the boundary conditions of the soil layer, because the external disturbance upon the surface is not considered in this paper.…”

Section: Boundary Conditionmentioning

confidence: 99%

“…Also, the study of the consolidation for double-or multilayered unsaturated ground stuck at the level of one-dimensional (1D) conditions considering the various boundary and constant loading conditions. [10][11][12] In addition, a multistage load scheme is often adopted to prevent the grounds from failure due to rapid loading, which is also considered in this paper. Therefore, it is of great significance to analyze the 1D consolidation behavior for multilayered unsaturated ground under depth-dependent stress induced by multistage load, since it has such specific backgrounds in engineering.…”

mentioning

confidence: 99%

“…Lu et al [3][4][5] presented a series of solutions for the consolidation of a single soil layer, vertical drain foundation, and composite ground with depthdependent stress. With respect to the semi-analytical solutions for the consolidation of multilayered unsaturated soils, only different boundary conditions are considered and the research is still in the initial stage, [10][11][12] let alone the time-and depth-dependent stress.…”

mentioning

confidence: 99%

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One‐dimensional consolidation for multilayered unsaturated ground under multistage depth‐dependent stress

Chen

Wang

Shen

et al. 2022

Num Anal Meth Geomechanics

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Due to the phenomenon of stress decay in space, the total vertical stress varies with depth in the layered soil stratum. The physical properties of unsaturated soil stratum and the nonuniformity of external load in vertical direction pose significant effects upon the consolidation process, while related works have viewed modest development at present. Therefore, the main objective of this study is to explore the one‐dimensional (1D) consolidation patterns of multilayered unsaturated ground considering depth‐dependent stress by a semi‐analytical procedure. According to the 1D consolidation theory of unsaturated soils put forward by Fredlund and Hasan, the semi‐analytical solutions of excess pore pressures and settlement are derived with the combination of Laplace transform and matrix transfer method. Crump's method is then adopted to obtain the analytical solutions in the time domain, and the corresponding computing programs are compiled. Furthermore, the validity work of proposed solutions is conducted by comparing the current solutions in this paper with degenerated ones under constant load in existing literature. Concentrating on the double‐layered unsaturated ground, and by considering different physical parameters of separate layer, the 1D consolidation characteristics under depth‐varying stress resulting from two‐stage load are investigated. The major conclusion can be drawn as that the settlement with constantly distributed stress along depth is overestimated compared with that considering the depth‐varying stress.

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Section: Verificationmentioning

confidence: 99%

“…On the other side, it is acceptable to assume that the permeability coefficient of water is constant during the transient process for a particular stress increment. [7][8][9][10][11][12]…”

Section: Calculation Model and Basic Assumptionsmentioning

confidence: 99%

Section: Boundary Conditionmentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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One‐dimensional consolidation for multilayered unsaturated ground under multistage depth‐dependent stress

Chen

Wang

Shen

et al. 2022

Num Anal Meth Geomechanics

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Semi‐analytical solution for one‐dimensional consolidation of a two‐layered soil system with unsaturated and saturated conditions

Qin

Jiang

2021

Num Anal Meth Geomechanics

Self Cite

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Semi‐analytical solutions to one‐dimensional (1D) consolidation of the two‐layered soils are developed in this paper that can consider a two‐layered soil system with unsaturated upper soils and saturated lower soils. In this case, the upper soil layer remains the water‐air two‐phase flows, while the lower soil layer only involves the flow of the water phase. Based on the assumptions made in the 1D consolidation framework for saturated and unsaturated soils, the analytical solutions in the transformation space for the consolidation model are derived using a decoupling technique and the Laplace transformation. Subsequently, following the Crump algorithm, the numerical inverse Laplace transformation is carried for the related semi‐analytical results that can analyze the consolidation characteristics of the two‐layered soils in the time domain. Furthermore, two typical cases for saturated soils in the literature are shown to examine the methodology and final solutions. Finally, results of a case study in this paper indicate that the excess pore pressures within the unsaturated soil layer near the interface are significantly affected by the water flow in the saturated soil layer, and that the final primary consolidation settlement of soils would be overestimated if the unsaturated condition of upper soils is ignored.

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Prediction models for effective PVD-enhanced in-situ flushing remediation of multi-layered soils

Jiang,

Qin,

et al. 2024

Computers and Geotechnics

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Semianalytical Solution of One-Dimensional Consolidation of Multilayered Unsaturated Soils

Cited by 5 publications

References 43 publications

One‐dimensional consolidation for multilayered unsaturated ground under multistage depth‐dependent stress

One‐dimensional consolidation for multilayered unsaturated ground under multistage depth‐dependent stress

Semi‐analytical solution for one‐dimensional consolidation of a two‐layered soil system with unsaturated and saturated conditions

Prediction models for effective PVD-enhanced in-situ flushing remediation of multi-layered soils

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