Analytical solution for one-dimensional nonlinear consolidation of double-layered soil with improved continuous drainage boundary

Zong, Mengfan; Wu, Wenbing; Naggar, M. Hesham El; Mei, Guoxiong; Ni, Pengpeng; Xu, Meijuan

doi:10.1080/19648189.2020.1813207

Cited by 23 publications

(20 citation statements)

References 15 publications

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“…Therefore, it is of great significance to the study of the overall dissipation law of EPP inside soils under this TDD boundary scenario. 46 It can also be seen from Figure 9B that under the same dimensionless time T, the EPP gradually increases along with the depth Z, and the larger the boundary parameter β, the faster the EPP dissipates. In particular, the EPP curves when the interface parameter β is equal to 1000 already coincide accurately with the curve under the fully drained boundary condition, which is also consistent with the law obtained from the above comparison verification.…”

Section: Influence Of the Interface Parametermentioning

confidence: 72%

“…In Figure 9B, unlike the traditional perfectly drainage boundary, the EPP U at the drainage surface (i.e., Z = 0) is no longer constant to zero under the TDD boundary but gradually dissipates to zero with time. Therefore, it is of great significance to the study of the overall dissipation law of EPP inside soils under this TDD boundary scenario 46 . It can also be seen from Figure 9B that under the same dimensionless time T , the EPP gradually increases along with the depth Z , and the larger the boundary parameter β , the faster the EPP dissipates.…”

Section: Parametric Studiesmentioning

confidence: 87%

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One‐dimensional nonlinear creep consolidation of soft soils with time‐dependent drainage boundary under construction load

Cui

Cao

Liu

et al. 2023

Num Anal Meth Geomechanics

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To further investigate the nonlinear creep properties of soft soils and the effect of variable loading, a one-dimensional (1D) nonlinear creep consolidation system of soft soils under construction load is established, including time-dependent drainage (TDD) boundary, elastic-viscous-plastic deformation, non-Darcy flow (NDF), and self-weight stress. The consolidation problem is presented by virtue of the finite volume method, and the associated calculation program is compiled. The efficiency of the numerical solutions is validated by comparing the degenerated solution against analytical, semi-analytical, and numerical solutions. Then the influences of construction load and nonlinear creep model parameters on consolidation are studied. The results show that TDD boundary and construction load significantly affect consolidation, and the larger the loading rate and interface parameter, the faster soil's overall dissipation process of excess porewater pressure (EPP). Meanwhile, at the earlier consolidation stage, considering the secondary consolidation effect will cause an increase in excess pore-water pressure (EPP). Prolonging the construction period, decreasing the interface parameter, considering the self-weight stress, or increasing the non-Newtonian index will all aggravate this phenomenon. Additionally, the TDD boundary, construction load, and non-Newtonian index flow (NNIF) are not a determinant for final soil settlement.

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Section: Influence Of the Interface Parametermentioning

confidence: 72%

Section: Parametric Studiesmentioning

confidence: 87%

One‐dimensional nonlinear creep consolidation of soft soils with time‐dependent drainage boundary under construction load

Cui

Cao

Liu

et al. 2023

Num Anal Meth Geomechanics

View full text Add to dashboard Cite

show abstract

“…L2) proposed by Jiang et al (n.d.), which modifies the small-strain assumption of the conventional consolidation problem; the one-dimensional nonlinear consolidation of soils with continuous drainage boundary (No. L3), which describes the nonlinear characteristics of the saturated clay during consolidation under constant load conditions (Zong et al, 2020) and the three-dimensional consolidation with a specific form of PDEs (No. L4) proposed by Peng (2017), which presents a 3D-consolidation problem.…”

Section: Application To Other Consolidation Situationsmentioning

confidence: 99%

Physics-informed neural networks for consolidation of soils

Zhang

Lan²,

Li³

et al. 2022

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PurposePrediction of excess pore water pressure and estimation of soil parameters are the two key interests for consolidation problems, which can be mathematically quantified by a set of partial differential equations (PDEs). Generally, there are challenges in solving these two issues using traditional numerical algorithms, while the conventional data-driven methods require massive data sets for training and exhibit negative generalization potential. This paper aims to employ the physics-informed neural networks (PINNs) for solving both the forward and inverse problems.Design/methodology/approachA typical consolidation problem with continuous drainage boundary conditions is firstly considered. The PINNs, analytical, and finite difference method (FDM) solutions are compared for the forward problem, and the estimation of the interface parameters involved in the problem is discussed for the inverse problem. Furthermore, the authors also explore the effects of hyperparameters and noisy data on the performance of forward and inverse problems, respectively. Finally, the PINNs method is applied to the more complex consolidation problems.FindingsThe overall results indicate the excellent performance of the PINNs method in solving consolidation problems with various drainage conditions. The PINNs can provide new ideas with a broad application prospect to solve PDEs in the field of geotechnical engineering, and also exhibit a certain degree of noise resistance for estimating the soil parameters.Originality/valueThis study presents the potential application of PINNs for the consolidation of soils. Such a machine learning algorithm helps to obtain remarkably accurate solutions and reliable parameter estimations with fewer and average-quality data, which is beneficial in engineering practice.

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“…20,25 Our team developed a new multifunctional large-scale odometer and utilized it to carry out an one-dimensional consolidation test to obtain the excess water pressure value at the boundary. Based on the test, Zong et al 28 obtained the interface parameter values by applying the continuous drainage boundary condition to fit the measured excess pore water pressure at the drainage boundary. The initial condition of the consolidation problem can be expressed as:…”

Section: Problem Descriptionmentioning

confidence: 99%

One‐dimensional consolidation of layered soils under ramp load based on continuous drainage boundary

Yang

Zong

Tian

et al. 2020

Num Anal Meth Geomechanics

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The traditional drainage boundary regards the drainage boundary as completely permeable or completely impervious. However, the drainage boundary is an impeded drainage boundary between completely permeable and impervious in engineering practice. In view of this, a new drainage boundary, namely the continuous drainage boundary, is introduced in this paper to study the consolidation problem of layered soils. First, the governing equations for the one-dimensional consolidation problem of layered soils subjected to a ramp load are established.Then, the analytical solution of excess pore water pressure and average consolidation degree is derived by means of Laplace transform and matrix transfer method. The present solution is verified by degenerating it and comparing with existing solutions. Based on the present solution, the consolidation behavior of the layered soils is investigated by conducting a detailed parametric study. The results show that, both the interface parameters of boundaries and the stratification of the layered soils can heavily affect the distribution of the excess pore water pressure along the depth, thereby influence the plane of the maximum excess pore water pressure. Therefore, the interface parameters of boundaries and the soil stratification should be comprehensively considered in the optimization for the horizontal drains.

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Analytical solution for one-dimensional nonlinear consolidation of double-layered soil with improved continuous drainage boundary

Cited by 23 publications

References 15 publications

One‐dimensional nonlinear creep consolidation of soft soils with time‐dependent drainage boundary under construction load

One‐dimensional nonlinear creep consolidation of soft soils with time‐dependent drainage boundary under construction load

Physics-informed neural networks for consolidation of soils

One‐dimensional consolidation of layered soils under ramp load based on continuous drainage boundary

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