One-dimensional consolidation of layered soils with exponentially time-growing drainage boundaries

Liu, Jia-Cai; Gan, Lei

doi:10.1016/j.compgeo.2013.07.009

Cited by 59 publications

(38 citation statements)

References 11 publications

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“…Validation from the finite element solution on the exact solution regarding the compressibility of the stabilized soil proved that the strong interparticle bonding in it as a result of cement hydration process actually caused the stabilized soil to have slow rate of compression due to a load application. By comparison, it is also evident from the published work of Liu and Lei [3] that there was a close agreement in the results of pore water pressure isochrones for a one-layered soil calculated using the numerical and analytical inversion of Laplace transform. Liu and Lei [3] studied one-dimensional consolidation of layered soils with exponentially time-growing drainage boundaries.…”

Section: Discussionsupporting

confidence: 67%

“…By comparison, it is also evident from the published work of Liu and Lei [3] that there was a close agreement in the results of pore water pressure isochrones for a one-layered soil calculated using the numerical and analytical inversion of Laplace transform. Liu and Lei [3] studied one-dimensional consolidation of layered soils with exponentially time-growing drainage boundaries.…”

Section: Discussionsupporting

confidence: 67%

“…Recent advancement of mathematical modelling in geomechanics has seen the development of numerous published research works of one-dimensional consolidation of soils by analytical and numerical methods [1][2][3][4][5][6][7][8][9][10][11][12][13]. Despite of that, not many analytical and numerical solutions that solved one-dimensional consolidation problem of stabilized peat were found in the literature of geomechanics.…”

Section: Introductionmentioning

confidence: 99%

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Analytical and Numerical Modelling of One-Dimensional Consolidation of Stabilized Peat

Wong

Somanathan

2019

Civ Eng J

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The objective of the paper is to compare and evaluate analytical and numerical solutions of one-dimensional consolidation of stabilized peat. The type of analytical method used to solve the problem is exact method by separation of variables and utilization of Fourier series. Plaxis 2D 8.2 Professional version software was used to find numerical solution to the problem by employing the finite element method. One-dimensional consolidation problem of stabilized peat was solved numerically and validated with the one solved analytically based on laboratory experimental results. From the results, it was discovered that the consolidation characteristics of stabilized peat evaluated numerically were found to have close approximation to those evaluated analytically. There is a novel value in developing an accurate numerical prediction for the vertical consolidation of stabilized peat considering the complexity of the soil treatment method. It must be noted that peat is highly problematic because it is produced from plant decomposition with extremely high organic matter. 399 for 7 days before testing. It is notable that oedometer consolidation apparatus is sufficient for testing the stabilized soil due to the fact that the soil was homogeneously mixed with the binding admixtures and silica sand. As such, it could be reliably used to simulate the one-dimensional deformation and drainage characteristics of the stabilized soil as the soil dissipation of excess pore water pressure became less significant over time due to the cementation process in the stabilized soil. Furthermore, the equipment set up for oedometer testing is simple and not time consuming as compared to that of a more advanced equipment such as Rowe consolidometer. The complexity of Rowe consolidometer setup is evident in the published work of Baral et al. [18] which is about the study of radial consolidation characteristics of soft clay based on large specimens. To develop a proper understanding and to ensure the reliability of the test results, it would be helpful to back analyze and validate the experimental results based on the analytical equation with the ones developed from numerical solution using Plaxis 2D 8.2 Professional version software. As such, the paper is concentrated at evaluating the results of one-dimensional consolidation tests from standard oedometer consolidation apparatus, which were determined based on the idealization of analytical model and later, validating the results using the finite element software.

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Section: Discussionsupporting

confidence: 67%

Section: Discussionsupporting

confidence: 67%

Section: Introductionmentioning

confidence: 99%

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Analytical and Numerical Modelling of One-Dimensional Consolidation of Stabilized Peat

Wong

Somanathan

2019

Civ Eng J

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“…In view of the limitations of existing solutions, Mei et al developed a continuous drainage boundary condition, which is associated with time, as expressed by

u = {pe}^{- italicbt}

where p is the initial excess pore‐water pressure at the boundary of clayey soils, e is the base of the natural logarithm, t is the time, and b is the interface parameter, which reflects the dissipation rate of excess pore‐water pressure at the boundary of soils. Based on Equation , Mei et al and Liu and Lei derived an analytical solution and a semianalytical solution for one‐dimensional consolidation of homogeneous soils and multilayered soils, respectively.…”

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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“…Recently, Mei et al [22] have put forward the exponentially time-growing drainage boundary condition (i.e., continuous drainage boundary as Mei's definition), including permeable and impermeable boundary conditions as two extremities, to consistently describe the all drainage boundary conditions of saturated soil. Soon afterwards, studies on consolidation theory with exponentially time-growing drainage boundary condition have been conducted for saturated soils with a single layer [23] and multilayers [24] and unsaturated soil with a single layer [25]. Since the exponentially time-growing drainage boundary can allow the excess pore water pressure to dissipate smoothly rather than abruptly from its initial value given by the initial conditions to the value of zero, it may have board application prospect in engineering.…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution for One-Dimensional Consolidation of Soil with Exponentially Time-Growing Drainage Boundary under a Ramp Load

Sun

Zong

et al. 2018

Mathematical Problems in Engineering

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By introducing the exponentially time-growing drainage boundary, this paper investigated the one-dimensional consolidation problem of soil under a ramp load. Firstly, the one-dimensional consolidation equations of soil are established when there is a ramp load acting on the soil surface. Then, the analytical solution of excess pore water pressure and consolidation degree is derived by means of the method of separation of variables and the integral transform technique. The rationality of this solution is also verified by comparing it with other existing analytical solutions. Finally, the consolidation behavior of soil is studied in detail for different interface parameters or loading scheme. The results show that the exponentially time-growing drainage boundary can reflect the phenomenon that the excess pore water pressure at the drainage boundaries dissipates smoothly rather than abruptly from its initial value to the value of zero. By adjusting the values of interface parameters and c, the presented solution can be degraded to Schiffman's solution, which can compensate for the shortcoming that Terzaghi's drainage boundary can only consider the two extreme cases of fully pervious and impervious boundaries. The significant advantage of the exponentially time-growing drainage boundary is that it can be applied to describe the asymmetric drainage characteristics of the top and bottom drainage surfaces of the actual soil layer by choosing the appropriate interface parameters and c.

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One-dimensional consolidation of layered soils with exponentially time-growing drainage boundaries

Cited by 59 publications

References 11 publications

Analytical and Numerical Modelling of One-Dimensional Consolidation of Stabilized Peat

Analytical and Numerical Modelling of One-Dimensional Consolidation of Stabilized Peat

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

Analytical Solution for One-Dimensional Consolidation of Soil with Exponentially Time-Growing Drainage Boundary under a Ramp Load

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