Semi-analytical solution to one-dimensional consolidation of viscoelastic saturated soils subject to an inner point sink

Abstract

Purpose The purpose of this paper is to present a semi-analytical solution to one-dimensional (1D) consolidation induced by a constant inner point sink in viscoelastic saturated soils. Design/methodology/approach Based on the Kelvin–Voigt constitutive law and 1D consolidation equation of saturated soils subject to an inner sink, the analytical solutions of the effective stress, the pore pressure and the surface settlement in Laplace domain were derived by using Laplace transform. Then, the semi-analytical solutions of the pore pressure and the surface settlement in physical domain were obtained by implementing Laplace numerical inversion via Crump method. Findings As for the case of linear elasticity, it is shown that the simplified form of the presented solution in this study is the same as the available analytical solution in the literature. This to some degree depicts that the proposed solution in this paper is reliable. Finally, parameter studies were conducted to investigate the effects of the relevant parameters on the consolidation settlement of saturated soils. The presented solution and method are of great benefit to provide deep insights into the 1D consolidation behavior of viscoelastic saturated soils. Originality/value The presented solution and method are of great benefit to provide deep insights into the 1D consolidation behavior of viscoelastic saturated soils. Consolidation behavior of viscoelastic saturated soils could be reasonably predicted by using the proposed solution with considering variations of both flux and depth because of inner point sink.

Analysis of One‐Dimensional Consolidation for Unsaturated Soils under Piecewise Cyclic Loading

“…is paper aims to derive semianalytical solutions to analyze the consolidation of unsaturated foundation under piecewise cyclic loading (namely, triangular and trapezoidal cyclic loadings). In the main derivative process, the Laplace transform method [27] is applied to transfer the loading functions into continuous expressions in the Laplace domain. e verification work is carried out by comparing the results of this paper and those in the existing literature.…”

Large-strain consolidation analysis of PVD-installed soft soil considering the discharge capacity variation according to depth and time

“…Because the permeability of soft clay is very low, its consolidation process takes a long time to complete. Therefore, PVDs are conventionally applied to accelerate the consolidation of soft soil deposits (Hansbo, 1981;Bergado et al, 1996;Chai et al, 2001;Shen et al, 2005;Rowe and Taechakumthorn, 2008;Liu et al, 2014;Chen et al, 2016;Zhou et al, 2017;Cheng et al, 2017;Indraratna, 2017;Nguyen et al, 2018;Kim et al, 2018aKim et al, , 2018bKim, 2019a, 2019b;Nguyen, 2019;Nguyen, 2020;Nguyen et al, 2019;Nguyen et al, 2020;Li et al, 2020). To control the post-construction settlement, prediction of the consolidation behavior of PVDinstalled soft ground played a crucial role in the design stage.…”