Semianalytic Solution for Two-Dimensional Consolidation of Interbedded Soil
Publication: International Journal of Geomechanics
Volume 24, Issue 9
Abstract
To consider the influence of the interaction of each clayey layer in the interbedded soils of a foundation on the soil consolidation, a two-dimensional calculation model based on the overall analysis is proposed and the controlling equations of each layer are established. A semianalytic solution for the excess pore-water pressure in the frequency domain is derived by combining the Laplace transform with the Fourier cosine transform and introducing the boundary transformation method. The theoretical solution is compared with numerical simulations for verification, and the relevant parameters are also analyzed to further explore the consolidation characteristics of the foundation. The results show that the proposed theoretical solution can effectively reflect the distribution of excess pore-water pressure in each soil layer under the given foundation conditions; the deviation of the average degree of consolidation from the numerical results is less than 2.0%. When only one sandy layer is laid out in the foundation, it is most conducive to the consolidation to arrange the sandy layer in the middle-lower part of the soil layer. When the total thickness of the sandy layer is the same, the maximum consolidation rate that can be achieved by arranging two sandy layers in the lower part of the foundation is slightly faster than that achieved by arranging a single sandy layer. When the ratio of the horizontal permeability coefficient of the sand to the permeability coefficient of the adjacent clay is greater than or equal to 20, the excess pore-water pressure in the sandy layer can be considered to be evenly distributed along the vertical direction.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request; this includes the MATLAB code used to solve and simulate the solutions shown in the figures of this paper.
Acknowledgments
The research work described herein was funded by the Shandong Provincial Natural Science Foundation of China (Grant No. ZR2019BEE076). There was also financial support from the Doctoral Fund Project of Shandong Jianzhu University (Grant No. X19024Z) and the Delegated Projects for Enterprises and Institutions (Grant No. H20190Z). This financial support is gratefully acknowledged. Great appreciation is extended to the editorial board and reviewers of this paper.
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Published In
International Journal of Geomechanics
Volume 24 • Issue 9 • September 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Aug 22, 2023
Accepted: Mar 25, 2024
Published online: Jul 11, 2024
Published in print: Sep 1, 2024
Discussion open until: Dec 11, 2024
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