Semianalytical Solution of One-Dimensional Consolidation of Multilayered Unsaturated Soils
Publication: International Journal of Geomechanics
Volume 21, Issue 8
Abstract
This study is devoted to deriving a semianalytical solution to one-dimensional consolidation of multilayered unsaturated soils subjected to an instantaneous loading. The proposed multilayered consolidation model based on Fredlund and Hasan's consolidation theory for unsaturated soils was analytically studied with a combination of Laplace transform and transfer matrix techniques. For two types of boundary conditions, the analytical solutions in the Laplace domain were acquired, while Crump's technique was utilized to carry out the semianalytical solutions in the physical domain. To verify the accuracy of the proposed solution, three examples for single-layered, two-layered, and three-layered soils were presented. In the case of single-layered and three-layered unsaturated soils, the solutions were in agreement with the existing analytical solutions. For two-layered unsaturated soils, the finite-difference result was adopted to illustrate the validity of the semianalytical solutions.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
This research was supported by the National Natural Science Foundation of China (Grant No. 42072292). The first author thanks Professor Zhendong Shan at the Institute of Engineering Mechanics, China Earthquake Administration for his data in the verification of three-layer soils.
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Published In
International Journal of Geomechanics
Volume 21 • Issue 8 • August 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Apr 29, 2020
Accepted: Feb 28, 2021
Published online: May 21, 2021
Published in print: Aug 1, 2021
Discussion open until: Oct 21, 2021
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