Nonlinear Consolidation Analysis of Natural Structured Clays under Time-Dependent Loading

Hu, Anfeng; Xia, Changqing; Jun, Cui; Li, Chuanxun; Xie, Kongliang

doi:10.1061/(asce)gm.1943-5622.0001059

Cited by 30 publications

(6 citation statements)

References 32 publications

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“…Combining with the orthogonal relation equation (18), one can obtain B m = 0. Then, the general solution of equation ( 5) can be derived as…”

Section: Problem Descriptionmentioning

confidence: 99%

“…2 With regard to this aspect, Gray 2 first presented an impeded drainage boundary which was later pursued by Schiffman and Stein 10 to study the consolidation problem of soil with variable coefficient of permeability and coefficient of compressibility. Following Gray's work, solutions of one-dimensional consolidation have been presented for one-, [11][12][13][14] two-, 15 and multi-layered soils [16][17][18][19] with various impeded drainage boundaries. Nevertheless, Lee et al 5 found that the impeded drainage boundary conditions can be taken as special cases of permeable, yet incompressible, top or bottom soil layer in multilayered system.…”

Section: Introductionmentioning

confidence: 99%

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Analytical solution for one-dimensional consolidation of double-layered soil with exponentially time-growing drainage boundary

Zong

Naggar

et al. 2018

International Journal of Distributed Sensor Networks

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In this article, the exponentially time-growing drainage boundary is introduced to study the one-dimensional consolidation problem of double-layered soil. First, the one-dimensional consolidation equations of soil underlying a timedependent loading are established. Then, the analytical solution of excess pore water pressure and average consolidation degree is obtained by utilizing the method of separation of variables when the soil layer is separately undergone instantaneous load and single-stage load. The validity of the present solution is proven by the comparison with other existing analytical solution. Finally, the influence of soil properties and loading scheme on the consolidation behavior of soil is investigated in detail. The results indicate that, the present solution can be degraded to Xie's solution utilizing Terzaghi's drainage boundary by adjusting the interface parameter, that is to say, Xie's solution can be regarded as a special case of the present solution. The interface parameter has a significant influence on the excess pore water pressure of soil, and the larger interface parameter means the better drainage capacity of the soil layer.

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“…Combining with the orthogonal relation equation (18), one can obtain B m = 0. Then, the general solution of equation ( 5) can be derived as…”

Section: Problem Descriptionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical solution for one-dimensional consolidation of double-layered soil with exponentially time-growing drainage boundary

Zong

Naggar

et al. 2018

International Journal of Distributed Sensor Networks

View full text Add to dashboard Cite

show abstract

“…Therefore, the analytical solutions which consider the well resistance have been obtained (Deng, Xie, Lu, Tao, & Liu, 2013;Kim, Hong, M. J. Lee, & W. Lee, 2011). In addition, the research on the consolidation theory of vertical drain has also made considerable progress in the field of soil nonlinear (Lu, Wang, & Sloan, 2015;Hu, Xia, Cui, Li, & Xie, 2018;Karim & Oka, 2010;Li, Xu, & Xie, 2017) and non-Darcy seepage (Xie, K. Wang, & Y. L. Wang, 2010;Taslimian, Noorzad, & Javan, 2015).…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Consolidation Theory of Vertical Drain Based on Continuous Drainage Boundary

Zhang

Mei

et al. 2019

Journal of Civil Engineering and Management

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To remedy the limitation that the conventional drainage boundary only considers two extreme cases of pervious and impervious boundaries, the consolidation theory of vertical drain is derived by applying the continuous drainage boundary, and its validity is also proven. Based on the obtained solutions, the excess pore water pressure and the average degree of consolidation under the continuous drainage boundary condition are analyzed, and the effect of the drainage capacity of the top surface, the smear effect and the well resistance on consolidation are explored. Furthermore, the practicality of this theory is also validated by the comparison with experimental data. Results confirm that the complete and continuous process of the ground top surface can be changed from no drainage to a complete drainage by adjusting the value of the interface parameter b. Higher value of the interface parameter b means a stronger water permeability of the foundation, resulting in a faster dissipation of excess pore water pressure and a faster consolidation. Meanwhile, the vertical drainage of the vertical drain cannot be neglected in calculation even though vertical drains are based on a horizontal seepage. Moreover, the smear effect and the well resistance play an important role on consolidation.

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“…The discrepancy between large and small strain theories became smaller when the compressibility of soil was decreased and the magnitude of applied load was reduced. Hu et al (2018) proposed a semianalytical solution for the one-dimensional nonlinear consolidation problem of structured soil under single-stage loading. The one-dimensional consolidation problem of clay in land reclamation was obtained by considering the effects of selfweight and continuous drainage boundary conditions, and the calculation results were successfully applied to the settlement analysis of land reclamation (Feng et al, 2019).…”

Section: Figurementioning

confidence: 99%

Experimental study on consolidation characteristics of deep clayey soil in a typical subsidence area of the North China Plain

Liu

Qi²,

Guo³

et al. 2022

Front. Environ. Sci.

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Land subsidence is an important environmental problem in the North China Plain (NCP). A typical subsidence area mainly located on adjoining areas of Beijing and Hebei provinces was selected to study the consolidation characteristics of deep clayey soil. Clay samples were collected from 14 boreholes at different depths, and the compression and consolidation behavior of the soil was analyzed by high-pressure oedometer tests. Results show that the deformation amount and deformation stabilization time in the primary consolidation stage increase with the load but decrease with the sampling depth. The nonlinear compression model of e-log(p) does not fit well for deep normally-consolidated clayey soil, the log(e+ec)–logp model fit the shallow clayey soil better than the deep clayey soil, and the hyperbolic model fits almost all soil samples well. Based on statistical theory, the soil consolidation equation CE_NCP was established for calculating the relationship between the degree of consolidation and the time factor in subsidence areas. The equations were fitted with the data obtained from high-pressure consolidation tests to obtain three parameters a, b and c, which are applied to the consolidation calculations for soil samples at depths of 0–100 m, 100–200 m, 200–300 m and 300–400 m, respectively. The applicability of CE_NCP equation was evaluated by comparing it to the analytical solution of Terzaghi’s consolidation equation, results showing that CE_NCP equation is more suitable for the calculation of the consolidation in the study area than the Terzaghi’s analytical solution. Eventually, the CE_NCP equation was successfully used to estimate the degree of consolidation in a subsidence area of Lang Fang City in the NCP.

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Nonlinear Consolidation Analysis of Natural Structured Clays under Time-Dependent Loading

Cited by 30 publications

References 32 publications

Analytical solution for one-dimensional consolidation of double-layered soil with exponentially time-growing drainage boundary

Analytical solution for one-dimensional consolidation of double-layered soil with exponentially time-growing drainage boundary

Three-Dimensional Consolidation Theory of Vertical Drain Based on Continuous Drainage Boundary

Experimental study on consolidation characteristics of deep clayey soil in a typical subsidence area of the North China Plain

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