One-Dimensional Consolidation of Soft Ground with Impeded Boundaries Under Depth-Dependent Ramp Load

Liu, Jia-Cai; Ma, Qiang

doi:10.1061/9780784412817.015

Cited by 10 publications

(6 citation statements)

References 5 publications

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“…The impeded boundary condition was later pursued by Schiffman and Stein to study the consolidation problem of a soil with variable coefficient of compressibility and coefficient of permeability. The impeded boundary was later used extensively to study the consolidation problems of soil by Mesri, Liu and Ma, among others. Nevertheless, Lee et al found that the impeded drainage boundary conditions can be taken as special cases of permeable, yet incompressible, top or bottom soil layer in a multilayered system.…”

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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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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“…Gray initially proposed an impeded boundary condition by assuming that the drainage capacity of the sand blanket above the soil layer is infinite in the following form:

\frac{\partial u}{\partial \overset{n}{true}} = R \frac{u}{H}

where R = ( k s H )/( k c d s ) is a dimensionless parameter, which controls the rate of consolidation, and H and k c are the thickness and the permeability of the clayey soil layer, respectively, and the corresponding values are denoted as d s and k s for the sand blanket. The corresponding analytical solutions are reported in the literature . However, Gray's explicit analytical solution is difficult to derive because of the complexity of the boundary condition and the lack of the definition of lateral drainage.…”

Section: Introductionmentioning

confidence: 99%

“…The corresponding analytical solutions are reported in the literature. [21][22][23][24] However, Gray's explicit analytical solution is difficult to derive because of the complexity of the boundary condition and the lack of the definition of lateral drainage. For this reason, Gibson and Shefford 25 proposed a refined boundary condition using a continuity equation, by taking into account the thickness of the sand blanket and the lateral drainage, as follows:…”

Section: Introductionmentioning

confidence: 99%

One‐dimensional self‐weight consolidation with continuous drainage boundary conditions: Solution and application to clay‐drain reclamation

Feng

Mei

2019

Num Anal Meth Geomechanics

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Summary Traditional consolidation theories cannot provide good predictions of consolidation settlement in land reclamation because of their assumptions that the influence of soil's self‐weight is often neglected, and the drainage boundary is considered as fully pervious/impervious. In view of these limitations, an analytical solution is derived for one‐dimensional self‐weight consolidation problems with a continuous drainage boundary using the finite Fourier sine transform method. Following the classical Terzaghi's small strain theory, the soil's self‐weight is considered to produce consolidation settlement in dredged materials with a constant coefficient of consolidation. The continuous drainage boundary can essentially describe the time‐dependent variation of drainage capacity at the interface between two adjacent soil layers. By reducing the interface parameters, the effectiveness of the calculation is demonstrated against the Terzaghi's solution. The influence of interface parameters and soil's self‐weight stress coefficient on self‐weight consolidation is discussed. As expected, the rate of consolidation considering the self‐weight stress is faster, although the dependency of consolidation rate on the material property of void ratio is neglected. Moreover, the plane of maximum excess pore‐water pressure is estimated as a function of time factor, based on which a design chart is developed to optimize the layout of horizontal drains in land reclamation.

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“…In recent years, some researchers have also conducted one-dimensional consolidation analysis under ramp loading mode according to different working conditions. Liu and Ma [27] studied the one-dimensional consolidation of soft ground with impeded boundaries under a depth-dependent ramp load. Similarly, Sun et al [28] also introduced the exponentially time-growing drainage boundary and investigated the one-dimensional consolidation problem of soil under a ramp 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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One-Dimensional Consolidation of Soft Ground with Impeded Boundaries Under Depth-Dependent Ramp Load

Cited by 10 publications

References 5 publications

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

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

One‐dimensional self‐weight consolidation with continuous drainage boundary conditions: Solution and application to clay‐drain reclamation

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

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