Analytical solution for the two-dimensional plane strain consolidation of an unsaturated soil stratum subjected to time-dependent loading

Ho, Liem; Fatahi, Behzad

doi:10.1016/j.compgeo.2015.02.011

Cited by 76 publications

(49 citation statements)

References 17 publications

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“…Step 3: Solution of the entire problem To develop solutions that also satisfy the initial condition, a series of eigenfunctions are given in Equation 25 based on Equation 24.…”

Section: Methodsmentioning

confidence: 99%

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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“…Step 3: Solution of the entire problem To develop solutions that also satisfy the initial condition, a series of eigenfunctions are given in Equation 25 based on Equation 24.…”

Section: Methodsmentioning

confidence: 99%

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

Wong

Somanathan

2019

Civ Eng J

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“…However, they have a number of practical limitations, including the need for large amounts of field data, sophisticated programs for calibration using rigorous optimization techniques, and a detailed understanding of the underlying physical process. Ho and Fatahi (2015a) introduced an exact analytical solution predicting variations in excess pore-air and pore-water pressures and settlement considering the two-dimensional (2D) plane strain consolidation of an unsaturated soil stratum subjected to different time-dependent loadings. Ho and Fatahi (2015b) discussed the dissipation of excess pore-air and pore-water pressures and settlement of an unsaturated soil layer subjected to various time-dependent external loadings.…”

Section: Introductionmentioning

confidence: 99%

Forecasting Daily Seepage Discharge of an Earth Dam Using Wavelet–Mutual Information–Gaussian Process Regression Approaches

2016

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Because of their sensitive structure, earth dams might face failure due to seepage phenomenon. In order to prevent such failure, some equipment like piezometers are installed in the body or foundation of earth dams. This study investigated the importance of piezometer installation level in dam body or foundation using mutual information-wavelet-Gaussian process regression. 27 Piezometers in three section along with reservoir level were employed to predict onestep-ahead seepage discharge of Zonouz earth dam. The daily data of 1 year of piezometer level and reservoir level were collected for this purpose. In order to find the best possible input combination, three groups of modeling scenarios were defined using piezometers and reservoir level time series. As some input combinations had more than two variables, decomposed time series were imposed into mutual information (MI) tool in order to decrement input variables and find the most correlated input-output features. Afterward, mentioned features were imposed into optimized Gaussian process regression (GPR) to be predicted. Different kernels were selected as core tool of GPR, but results demonstrated the capability of radial basis function (RBF) kernel. GPR-RBF structure were optimized using cross-validation technique. Results indicated that input combination including piezometer level and reservoir level of section II, especially piezometer 203 time series led to the best result among all scenarios.

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“…It becomes imperative to understand, the consolidation characteristics of such soils in order to provide remedial measure [1]. The deformation and dissipation of pore fluids in a loaded soil medium is known as consolidation [2][3]. The consolidation problem of soil has close relation with the deformation, strength, stability, and seepage of soil mechanics [4].…”

Section: Introductionmentioning

confidence: 99%

Numerical Solution to One-dimensional Consolidation by the Finite Element Method

Nwankwo

Aluko

Iyeke

et al. 2019

JAMCS

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Adequate prediction of structures settlement is of utmost importance in order to prevent future failure of civil engineering structures due to excessive settlement resulting from an inadequate settlement prediction. In this paper, laboratory consolidation test was performed on five different clay samples from different locations to determine the soil consolidation in terms of pore water pressure. A formulation of Finite Element (FE) method was also developed for solving one-dimensional consolidation problem and its validity checked out. The one-dimensional consolidation differential equation was solved using finite element analysis by Rayleigh-Ritz method to obtain an approximate solution and ten elements were used to discretize the domain. MATLAB program was used to write the finite element codes. Considering the graphs generated from the MATLAB program which compares the consolidation behavior of the soil sample from analytical and numerical point of view, it is seen that there is a good agreement between Terzaghi's exact solution to consolidation behavior of soils and numerical solution using the finite element method.

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Analytical solution for the two-dimensional plane strain consolidation of an unsaturated soil stratum subjected to time-dependent loading

Cited by 76 publications

References 17 publications

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

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

Forecasting Daily Seepage Discharge of an Earth Dam Using Wavelet–Mutual Information–Gaussian Process Regression Approaches

Numerical Solution to One-dimensional Consolidation by the Finite Element Method

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