Fractional Derivative Modeling on Solute Non-Fickian Transport in a Single Vertical Fracture
Solute transport in a single vertical fracture (SVF) cannot be reliably described by the classical advection-dispersion equation (ADE) model, due to the heterogeneity nature of fracture. This study conducted a group of experiments to investigate chloride ion transport in the SVFs under different rou...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Frontiers Media S.A.
2020-09-01
|
| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/article/10.3389/fphy.2020.00378/full |
| _version_ | 1818572738555543552 |
|---|---|
| author | Chuantaidou Qiao Yi Xu Weidong Zhao Jiazhong Qian Yongting Wu HongGuang Sun |
| author_facet | Chuantaidou Qiao Yi Xu Weidong Zhao Jiazhong Qian Yongting Wu HongGuang Sun |
| author_sort | Chuantaidou Qiao |
| collection | DOAJ |
| description | Solute transport in a single vertical fracture (SVF) cannot be reliably described by the classical advection-dispersion equation (ADE) model, due to the heterogeneity nature of fracture. This study conducted a group of experiments to investigate chloride ion transport in the SVFs under different rough-walled conditions, and then applied a time fractional advection-dispersion equation (F-ADE) model to offer an accurate description. A comparison between F-ADE model and a classical ADE model in describing experimental data, was also carried out. Results show that the FADE model is better than the ADE model in describing the breakthrough curve and heavy-tail phenomenon of solute transport in the fracture. Especially in the experiments with lower flow rate and higher roughness fracture, the FADE model can offer a better description for non-Fickian transport, indicating that it is a promising tool for characterizing solute transport heterogeneous vertical fracture. |
| first_indexed | 2024-12-15T00:01:38Z |
| format | Article |
| id | doaj.art-3d21aba739544371990516a66a9d4dec |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-12-15T00:01:38Z |
| publishDate | 2020-09-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-3d21aba739544371990516a66a9d4dec2022-12-21T22:42:52ZengFrontiers Media S.A.Frontiers in Physics2296-424X2020-09-01810.3389/fphy.2020.00378569834Fractional Derivative Modeling on Solute Non-Fickian Transport in a Single Vertical FractureChuantaidou Qiao0Yi Xu1Weidong Zhao2Jiazhong Qian3Yongting Wu4HongGuang Sun5School of Resources and Environmental Engineering, Hefei University of Technology, Hefei, ChinaState Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing, ChinaSchool of Resources and Environmental Engineering, Hefei University of Technology, Hefei, ChinaSchool of Resources and Environmental Engineering, Hefei University of Technology, Hefei, ChinaShandong Luqing Safety Assessment Technology Co., Ltd., Jinan, ChinaState Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing, ChinaSolute transport in a single vertical fracture (SVF) cannot be reliably described by the classical advection-dispersion equation (ADE) model, due to the heterogeneity nature of fracture. This study conducted a group of experiments to investigate chloride ion transport in the SVFs under different rough-walled conditions, and then applied a time fractional advection-dispersion equation (F-ADE) model to offer an accurate description. A comparison between F-ADE model and a classical ADE model in describing experimental data, was also carried out. Results show that the FADE model is better than the ADE model in describing the breakthrough curve and heavy-tail phenomenon of solute transport in the fracture. Especially in the experiments with lower flow rate and higher roughness fracture, the FADE model can offer a better description for non-Fickian transport, indicating that it is a promising tool for characterizing solute transport heterogeneous vertical fracture.https://www.frontiersin.org/article/10.3389/fphy.2020.00378/fullsolute transportsingle vertical fracturefractional advection-dispersion equationnon-Fickian transporthydrodynamicshydraulic condition |
| spellingShingle | Chuantaidou Qiao Yi Xu Weidong Zhao Jiazhong Qian Yongting Wu HongGuang Sun Fractional Derivative Modeling on Solute Non-Fickian Transport in a Single Vertical Fracture Frontiers in Physics solute transport single vertical fracture fractional advection-dispersion equation non-Fickian transport hydrodynamics hydraulic condition |
| title | Fractional Derivative Modeling on Solute Non-Fickian Transport in a Single Vertical Fracture |
| title_full | Fractional Derivative Modeling on Solute Non-Fickian Transport in a Single Vertical Fracture |
| title_fullStr | Fractional Derivative Modeling on Solute Non-Fickian Transport in a Single Vertical Fracture |
| title_full_unstemmed | Fractional Derivative Modeling on Solute Non-Fickian Transport in a Single Vertical Fracture |
| title_short | Fractional Derivative Modeling on Solute Non-Fickian Transport in a Single Vertical Fracture |
| title_sort | fractional derivative modeling on solute non fickian transport in a single vertical fracture |
| topic | solute transport single vertical fracture fractional advection-dispersion equation non-Fickian transport hydrodynamics hydraulic condition |
| url | https://www.frontiersin.org/article/10.3389/fphy.2020.00378/full |
| work_keys_str_mv | AT chuantaidouqiao fractionalderivativemodelingonsolutenonfickiantransportinasingleverticalfracture AT yixu fractionalderivativemodelingonsolutenonfickiantransportinasingleverticalfracture AT weidongzhao fractionalderivativemodelingonsolutenonfickiantransportinasingleverticalfracture AT jiazhongqian fractionalderivativemodelingonsolutenonfickiantransportinasingleverticalfracture AT yongtingwu fractionalderivativemodelingonsolutenonfickiantransportinasingleverticalfracture AT hongguangsun fractionalderivativemodelingonsolutenonfickiantransportinasingleverticalfracture |