scholarly journals Nonlinear Radial Consolidation Analysis of Soft Soil with Vertical Drains under Cyclic Loadings

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Pyol Kim ◽  
Hyong-Sik Kim ◽  
Yong-Gun Kim ◽  
Chung-Hyok Paek ◽  
Song-Nam Oh ◽  
...  
Keyword(s):  
Cyclic Loading ◽  
Governing Equation ◽  
Analytical Solutions ◽  
Soft Soil ◽  
Time Dependent ◽  
Vertical Drains ◽  
Consolidation Analysis ◽  
Consolidation Behavior

This paper presents analytical solutions for nonlinear radial consolidation of soft soil with vertical drains under various cyclic loadings. By considering the nonlinear variations of compressibility and permeability expressed by the logarithm relations (e−log σ′ and e−log kh), the governing equation for nonlinear radial consolidation of the soil under equal strain and time-dependent loading is established. The analytical solutions are derived for nonlinear radial consolidation under haversine cyclic loading, trapezoidal cyclic loading, rectangular cyclic loading, and triangular cyclic loading. The presented solution is verified through the degeneration into the existing solutions for nonlinear radial consolidation under constant and ramp loadings, which shows the solution proposed in this paper is more general for nonlinear radial consolidation under time-dependent loading. The nonlinear radial consolidation behavior of the soil with vertical drains subjected to various cyclic loadings is investigated using the solutions developed. The proposed solutions can be effectively utilized in the analysis of nonlinear radial consolidation under various cyclic loadings.

scholarly journals Consolidation Analysis of Ideal Sand-Drained Ground with Fractional-Derivative Merchant Model and Non-Darcian Flow Described by Non-Newtonian Index

2019 ◽  
Vol 2019 ◽  
pp. 1-12
Author(s):  
Zhongyu Liu ◽  
Penglu Cui ◽  
Jiachao Zhang ◽  
Yangyang Xia
Keyword(s):  
Fractional Derivative ◽  
Flow Model ◽  
Soft Soil ◽  
Viscoelastic Behavior ◽  
Vertical Flow ◽  
Vertical Drains ◽  
Saturated Clay ◽  
Implicit Finite Difference ◽  
Consolidation Analysis ◽  
The Ideal

To further investigate the rheological consolidation mechanism of soft soil ground with vertical drains, the fractional-derivative Merchant model (FDMM) is introduced to describe the viscoelastic behavior of saturated clay around the vertical drains, and the flow model with the non-Newtonian index is employed to describe the non-Darcian flow in the process of rheological consolidation. Accordingly, the governing partial differential equation of the ideal sand-drained ground with coupled radial-vertical flow is obtained under the assumption that the vertical strains develop freely. Then, the numerical solution to the consolidation system is conducted using the implicit finite difference method. The validity of this method is verified by comparing the results of Barron’s consolidation theory. Furthermore, the effects of the parameters of non-Darcian flow and FDMM on the rheological consolidation of ground with vertical drains are illustrated and discussed.

scholarly journals Nonlinear Finite Strain Consolidation Analysis with Secondary Consolidation Behavior

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Jieqing Huang ◽  
Xinyu Xie ◽  
Jifa Zhang ◽  
Jinzhu Li ◽  
Wenjun Wang
Keyword(s):  
Pore Water ◽  
Governing Equation ◽  
Finite Strain ◽  
Pore Water Pressure ◽  
Water Pressure ◽  
Soft Clay ◽  
New Method ◽  
Calculation Results ◽  
Consolidation Analysis ◽  
Consolidation Behavior

This paper aims to analyze nonlinear finite strain consolidation with secondary consolidation behavior. On the basis of some assumptions about the secondary consolidation behavior, the continuity equation of pore water in Gibson’s consolidation theory is modified. Taking the nonlinear compressibility and nonlinear permeability of soils into consideration, the governing equation for finite strain consolidation analysis is derived. Based on the experimental data of Hangzhou soft clay samples, the new governing equation is solved with the finite element method. Afterwards, the calculation results of this new method and other two methods are compared. It can be found that Gibson’s method may underestimate the excess pore water pressure during primary consolidation. The new method which takes the secondary consolidation behavior, the nonlinear compressibility, and nonlinear permeability of soils into consideration can precisely estimate the settlement rate and the final settlement of Hangzhou soft clay sample.

scholarly journals Analytical Solution for One-Dimensional Nonlinear Consolidation of Saturated Double-Layered Soil Subjected to Cyclic Loadings

2021 ◽  
Vol 2021 ◽  
pp. 1-22
Author(s):  
Pyol Kim ◽  
Chol-U Pak ◽  
Hakbom Myong
Keyword(s):  
Cyclic Loading ◽  
Analytical Solution ◽  
Soft Soil ◽  
Layered Soil ◽  
Time Dependent ◽  
Saturated Soils ◽  
One Dimensional ◽  
Special Cases ◽  
Nonlinear Consolidation ◽  
Good Agreement

Cyclic loading-induced consolidation behavior of soft soil is of great interest for the analysis of offshore and onshore structures. In this study, an analytical solution for one-dimensional (1D) nonlinear consolidation of saturated double-layered soil under various types of cyclic loadings such as trapezoidal cyclic loading, rectangular cyclic loading, and triangular cyclic loading was derived. The proposed solution was subsequently degenerated into solutions for special cases and compared to the existing solutions. The degenerate solutions show good agreement with the existing results, which proves that the proposed solutions are more general ones for 1D nonlinear consolidation of saturated soils under time-dependent loading. Finally, a comprehensive parametric study was conducted to investigate the influences of different layer parameters, drainage conditions, and loading parameters on nonlinear consolidation of saturated double-layered soil under cyclic loadings.

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