Proceedings of the 3rd International Conference on Green Building, Civil Engineering and Smart City (GBCESC 2024)

One-Dimensional Consolidation of Saturated Clays Simulated with Fractional Derivative-Based Model Under Continuous Drainage Boundary

Authors
Yicheng Wang1, Yi Tian1, 2, *, Hanhua Xu1, 2, Lin Zhang3, Mengfan Zong4
1Faculty of Civil Engineering and Mechanics, Kunming University of Science and Technology, Kunming, 650051, Yunnan, China
2Kunming Prospecting Design Institute of China Nonferrous Metals Industry Co. Ltd., Kunming, 650051, Yunnan, China
3Chengdu Surveying Geotechnical Research Institute Co., Ltd. of MCC, Sichuan, 610023, Chengdu, China
4School of Civil and Ocean Engineering, Jiangsu Ocean University, Lianyungang, 222005, Jiangsu, China
*Corresponding author. Email: tianyibox@163.com
Corresponding Author
Yi Tian
Available Online 19 May 2025.
DOI
10.2991/978-94-6463-728-1_34How to use a DOI?
Keywords
Continuous drainage boundary; Clay; Consolidation; Rheology
Abstract

Rheology has a significant impact on the long-term consolidation behaviors of clays. The rheological consolidation theory plays a vital role in the prediction of deformation of the clays. In this study, the fractional derivative-based Kelvin model (FKM) and the fractional derivative-based Merchant model (FMM) are used to simulate the rheological characteristics of clays, and the continuous drainage boundary condition is adopted to consider the temporal continuity of the pore-water pressure at the boundary. Based on this, a one-dimensional consolidation model for the clays subjected to a time-dependent load is established, and then the semi-analytical solutions of the excess pore-water pressure (EPP), the settlement and the degree of consolidation are derived. Two sets of rheological parameters are back-calculated using the nonlinear fitting methods. The influences of the fractional order, viscosity coefficient and interface parameter on the rheological consolidation behaviors are investigated in depth through systematic parametric studies.

Copyright
© 2025 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

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Volume Title
Proceedings of the 3rd International Conference on Green Building, Civil Engineering and Smart City (GBCESC 2024)
Series
Advances in Engineering Research
Publication Date
19 May 2025
ISBN
978-94-6463-728-1
ISSN
2352-5401
DOI
10.2991/978-94-6463-728-1_34How to use a DOI?
Copyright
© 2025 The Author(s)
Open Access
Open Access This chapter is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made.

Cite this article

TY  - CONF
AU  - Yicheng Wang
AU  - Yi Tian
AU  - Hanhua Xu
AU  - Lin Zhang
AU  - Mengfan Zong
PY  - 2025
DA  - 2025/05/19
TI  - One-Dimensional Consolidation of Saturated Clays Simulated with Fractional Derivative-Based Model Under Continuous Drainage Boundary
BT  - Proceedings of the 3rd International Conference on Green Building, Civil Engineering and Smart City (GBCESC 2024)
PB  - Atlantis Press
SP  - 341
EP  - 354
SN  - 2352-5401
UR  - https://doi.org/10.2991/978-94-6463-728-1_34
DO  - 10.2991/978-94-6463-728-1_34
ID  - Wang2025
ER  -