One-Dimensional Consolidation of Multi-Layered Unsaturated Soil with Impeded Drainage Boundaries
In geotechnical engineering, the consolidation of unsaturated soil is a common issue of great interest. Considering the multi-layered property and impeded drainage boundary condition of the soil stratum in real engineering, this study aimed to develop a general semi-analytical solution for assessing...
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doaj-7c7d8e660fc4448ca51a9384814e824b2020-12-26T00:01:25ZengMDPI AGApplied Sciences2076-34172021-12-011113313310.3390/app11010133One-Dimensional Consolidation of Multi-Layered Unsaturated Soil with Impeded Drainage BoundariesSuhua Zhou0Jiatao Kang1Chang Lv2Minghua Huang3Key Laboratory of Building Safety and Energy Efficiency of the Ministry of Education, Hunan University, Changsha 410082, ChinaDepartment of Architectural Engineering, Henan College of Transportation, Zhengzhou 450000, ChinaKey Laboratory of Building Safety and Energy Efficiency of the Ministry of Education, Hunan University, Changsha 410082, ChinaKey Laboratory of Building Safety and Energy Efficiency of the Ministry of Education, Hunan University, Changsha 410082, ChinaIn geotechnical engineering, the consolidation of unsaturated soil is a common issue of great interest. Considering the multi-layered property and impeded drainage boundary condition of the soil stratum in real engineering, this study aimed to develop a general semi-analytical solution for assessing the one-dimensional (1D) consolidation behavior of multi-layered unsaturated soil that is subjected to a general impeded drainage boundary condition and a time-dependent loading. To achieve the final solution, the proposed consolidation system is firstly decoupled and solved in the Laplace domain. Then, the semi-analytical solutions for the excess pore-air pressure and excess pore-water pressures as well as the soil settlement are formulated. The Crump method is employed to provide their final results in the time domain. The correctness of the derived solutions was verified against the available analytical and numerical solutions, and excellent agreements were found for the two comparisons. Moreover, two studied examples are presented to illustrate the 1D consolidation behavior of multi-layered unsaturated soil and the influences stemming from the impeded drainage parameters are discussed.https://www.mdpi.com/2076-3417/11/1/133one-dimensional consolidationmulti-layered unsaturated soilsemi-analytical solutionimpeded drainage boundaryLaplace transform |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Suhua Zhou Jiatao Kang Chang Lv Minghua Huang |
spellingShingle |
Suhua Zhou Jiatao Kang Chang Lv Minghua Huang One-Dimensional Consolidation of Multi-Layered Unsaturated Soil with Impeded Drainage Boundaries Applied Sciences one-dimensional consolidation multi-layered unsaturated soil semi-analytical solution impeded drainage boundary Laplace transform |
author_facet |
Suhua Zhou Jiatao Kang Chang Lv Minghua Huang |
author_sort |
Suhua Zhou |
title |
One-Dimensional Consolidation of Multi-Layered Unsaturated Soil with Impeded Drainage Boundaries |
title_short |
One-Dimensional Consolidation of Multi-Layered Unsaturated Soil with Impeded Drainage Boundaries |
title_full |
One-Dimensional Consolidation of Multi-Layered Unsaturated Soil with Impeded Drainage Boundaries |
title_fullStr |
One-Dimensional Consolidation of Multi-Layered Unsaturated Soil with Impeded Drainage Boundaries |
title_full_unstemmed |
One-Dimensional Consolidation of Multi-Layered Unsaturated Soil with Impeded Drainage Boundaries |
title_sort |
one-dimensional consolidation of multi-layered unsaturated soil with impeded drainage boundaries |
publisher |
MDPI AG |
series |
Applied Sciences |
issn |
2076-3417 |
publishDate |
2021-12-01 |
description |
In geotechnical engineering, the consolidation of unsaturated soil is a common issue of great interest. Considering the multi-layered property and impeded drainage boundary condition of the soil stratum in real engineering, this study aimed to develop a general semi-analytical solution for assessing the one-dimensional (1D) consolidation behavior of multi-layered unsaturated soil that is subjected to a general impeded drainage boundary condition and a time-dependent loading. To achieve the final solution, the proposed consolidation system is firstly decoupled and solved in the Laplace domain. Then, the semi-analytical solutions for the excess pore-air pressure and excess pore-water pressures as well as the soil settlement are formulated. The Crump method is employed to provide their final results in the time domain. The correctness of the derived solutions was verified against the available analytical and numerical solutions, and excellent agreements were found for the two comparisons. Moreover, two studied examples are presented to illustrate the 1D consolidation behavior of multi-layered unsaturated soil and the influences stemming from the impeded drainage parameters are discussed. |
topic |
one-dimensional consolidation multi-layered unsaturated soil semi-analytical solution impeded drainage boundary Laplace transform |
url |
https://www.mdpi.com/2076-3417/11/1/133 |
work_keys_str_mv |
AT suhuazhou onedimensionalconsolidationofmultilayeredunsaturatedsoilwithimpededdrainageboundaries AT jiataokang onedimensionalconsolidationofmultilayeredunsaturatedsoilwithimpededdrainageboundaries AT changlv onedimensionalconsolidationofmultilayeredunsaturatedsoilwithimpededdrainageboundaries AT minghuahuang onedimensionalconsolidationofmultilayeredunsaturatedsoilwithimpededdrainageboundaries |
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