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.

由于裂缝的非均质性，经典的对流弥散方程（ADE）模型无法可靠地描述单个垂直裂缝（SVF）中的溶质运移。这项研究进行了一组实验，以研究在不同粗糙壁条件下SVF中氯离子的迁移，然后应用时间分数对流扩散方程（F-ADE）模型提供了准确的描述。在描述实验数据时，还进行了F-ADE模型与经典ADE模型之间的比较。结果表明，FADE模型在描述裂缝中的溶质运移的突破曲线和重尾现象方面优于ADE模型。特别是在流速较低，粗糙度较高的实验中，