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.
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.
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.
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.
This study was funded by the Natural Science Foundation of Shanghai (Grant No. 19ZR1421400), the National Natural Science Foundation of China (Grant No. 51878657), the Independent Project from State Key Laboratory for Geomechanics and Deep Underground Engineering (No. Z18009) and the Qing-Lan Project. The authors are also grateful to the editor and reviewers for their constructive comments and suggestions.
Li, P., Li, L. and Lu, M. (2020), "Semi-analytical solution to one-dimensional consolidation of viscoelastic saturated soils subject to an inner point sink", Engineering Computations, Vol. ahead-of-print No. ahead-of-print. https://doi.org/10.1108/EC-05-2019-0196Download as .RIS
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