Consolidation of Unsaturated Drainage Well Foundation with Smear Effect under Time-Dependent Loading

Huang, Yuanchun; Li, Tianyi; Fu, Xiaonan

doi:10.1007/s12205-021-0086-x

Cited by 16 publications

(16 citation statements)

References 35 publications

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“…Equations (1) and (2) are two coupled equations, which are convenient to be decoupled by utilizing the decoupling technique introduced in the literature 23,25,44,45 . The equivalent equations for Equations (1) and (2) are expressed in the form (the specific derivations are given in Appendix A):

\frac{\partial φ_{1}}{\partial t} - Q_{1} \frac{\partial^{2} φ_{1}}{\partial z^{2}} = 0

\frac{\partial φ_{2}}{\partial t} - Q_{2} \frac{\partial^{2} φ_{2}}{\partial z^{2}} = 0

…”

Section: Semi‐analytical Solutionsmentioning

confidence: 99%

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

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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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\frac{\partial φ_{1}}{\partial t} - Q_{1} \frac{\partial^{2} φ_{1}}{\partial z^{2}} = 0

\frac{\partial φ_{2}}{\partial t} - Q_{2} \frac{\partial^{2} φ_{2}}{\partial z^{2}} = 0

…”

Section: Semi‐analytical Solutionsmentioning

confidence: 99%

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

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“…Barron 3 also propose the equal strain assumption and verified the validity and the similar of predictions with the free strain assumption, which was widely used to simplify the solution process. [4][5][6][7][8][9][10] 25 Time-dependent √ × Analytical a "√"represents that corresponding factors are considered in the analysis process; "×"represents that corresponding factors are not considered in the analysis process.…”

Section: Introductionmentioning

confidence: 99%

“…However, the vertical flow, which can accelerate the consolidation in the practical application, is not considered in all the above studies. Some researchers studied the characteristics of radial and vertical flows in the consolidation of soft soil via PVD or stone columns considering ideal conditions or complicated conditions 23–28 . Summing up the above, the conditions considered by above scholars are still not comprehensive enough, details have been presented to Table 1.…”

Section: Introductionmentioning

confidence: 99%

General analytical solutions for the equal‐strain consolidation of prefabricated vertical drain foundation in unsaturated soils under time‐dependent loading

Qin

et al. 2022

Num Anal Meth Geomechanics

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External disturbances were scarcely considered in the consolidation of unsaturated vertical drain foundation, in which the ideally permeable or impermeable boundary conditions were always adopted to investigated the consolidation patterns. In view of this, by taking the flows along the vertical and radial orientations simultaneously, this study proposes the general analytical solutions for the axisymmetric consolidation of prefabricated vertical drain foundations in unsaturated soils which consider drain resistance, smear effect, and time‐dependent loading under the equal‐strain assumption. Through theories related to consolidation in unsaturated soils, the governing equations of air and water phases in the matrix form are proposed. Subsequently, Fourier series expansion, matrix analysis and decoupling method are used to acquire the analytical solutions. The separate expressions of smear coefficient and drain resistance factors, which can represent the potential influence of the external boundaries more obviously, are included in the solutions. Degradation validity method is used to verify the credibility of the current solutions, and the vertical flow is found to promote the consolidation process under external conditions. Finally, the solutions obtained in this paper can provide guidance for more complicated consolidation problems in unsaturated soils.

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“…Zhao et al [24] investigated the 1D consolidation characteristics of unsaturated foundation considering the semipermeable boundary condition with explicit solutions. By taking the lateral and vertical drainage, Huang et al [25] presented the general analytical solutions of tow-dimensional consolidation of unsaturated soils. Li et al [26] and Huang et al [3,25] analyzed the axisymmetric consolidation of unsaturated foundation with an analytical method.…”

Section: Introductionmentioning

confidence: 99%

“…By taking the lateral and vertical drainage, Huang et al [25] presented the general analytical solutions of tow-dimensional consolidation of unsaturated soils. Li et al [26] and Huang et al [3,25] analyzed the axisymmetric consolidation of unsaturated foundation with an analytical method. In summary, a lot of studies on the consolidation of unsaturated soil have been conducted with the continuous loading (i.e., instantaneous, exponential, ramp, and sinusoidal loading).…”

Section: Introductionmentioning

confidence: 99%

Analysis of One‐Dimensional Consolidation for Unsaturated Soils under Piecewise Cyclic Loading

Huang

Shen

et al. 2021

Advances in Civil Engineering

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This paper studies the one-dimensional (1D) consolidation behavior for unsaturated stratum subjected to piecewise cyclic loading. Combined with the widely accepted consolidation theory of unsaturated soils, a semianalytical method was employed to investigate the consolidation of unsaturated foundation considering piecewise cyclic loading in the Laplace domain. Furthermore, the reduced solutions were produced to perform the verification work accompanied by the results in the existing literature. Finally, a case study was conducted to explore the consolidation characteristics under piecewise cyclic loading (i.e., triangular and trapezoidal cyclic loadings). Parametric studies were carried out by variations of excess pore pressures and settlement against the ratio of air-water permeability coefficients, depth, and loading parameters. The research proposed in this paper can provide theoretical basis for the ground treatment of unsaturated soils, especially for rationally accelerating consolidation or avoiding sudden settlement.

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Consolidation of Unsaturated Drainage Well Foundation with Smear Effect under Time-Dependent Loading

Cited by 16 publications

References 35 publications

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

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

General analytical solutions for the equal‐strain consolidation of prefabricated vertical drain foundation in unsaturated soils under time‐dependent loading

Analysis of One‐Dimensional Consolidation for Unsaturated Soils under Piecewise Cyclic Loading

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