Fractional Derivative Modeling on Solute Non-Fickian Transport in a Single Vertical Fracture

Frontiers in Physics

卷:8

Jiazhong Qian¹  Weidong Zhao¹  Chuantaidou Qiao¹  Yongting Wu²  HongGuang Sun³  Yi Xu³ 

[1] School of Resources and Environmental Engineering, Hefei University of Technology, Hefei, China;

[2] Shandong Luqing Safety Assessment Technology Co., Ltd., Jinan, China;

[3] State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing, China;

关键词: solute transport;    single vertical fracture;    fractional advection-dispersion equation;    non-Fickian transport;    hydrodynamics;    hydraulic condition;   

DOI  :  10.3389/fphy.2020.00378

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown