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...

Full description

Bibliographic Details
Main Authors: Suhua Zhou, Jiatao Kang, Chang Lv, Minghua Huang
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/1/133
id doaj-7c7d8e660fc4448ca51a9384814e824b
record_format Article
spelling 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
_version_ 1724370752570916864