Fractional Derivative Modeling on Solute Non-Fickian Transport in a Single Vertical Fracture
| Autor: | Jiazhong Qian, Yi Xu, HongGuang Sun, Weidong Zhao, Yongting Wu, Chuantaidou Qiao |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Materials science
Materials Science (miscellaneous) Biophysics General Physics and Astronomy Surface finish 01 natural sciences single vertical fracture 0103 physical sciences fractional advection-dispersion equation Physical and Theoretical Chemistry 010306 general physics Vertical fracture Mathematical Physics hydraulic condition Non fickian Mechanics Breakthrough curve lcsh:QC1-999 Fractional calculus Volumetric flow rate solute transport non-Fickian transport hydrodynamics Fracture (geology) Fade lcsh:Physics |
| Zdroj: | Frontiers in Physics, Vol 8 (2020) |
| ISSN: | 2296-424X |
| DOI: | 10.3389/fphy.2020.00378 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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