中文摘要：

在这研究，格子 Boltzmann 方法(LBM ) 被用来在单个不平的破裂模仿溶质运输。自我仿射的不平的破裂墙与连续随机的增加方法被产生。发达 LBM 的能力被泰勒分散验证模仿溶质运输。在单个不平的破裂的溶质运输上的液体速度的效果用 LBM 被调查。为在不平的破裂的连续注射来源的突破曲线(BTC ) 与不同雷纳兹数字(Re ) 被分析并且讨论。结果证明不平的破裂墙越过孔导致一个大液体速度坡度。因而，有沿着不平的破裂墙的不动的区域的宽广分布。不动的区域的这分布对 Re 和破裂几何学很敏感，并且不动的区域随 Re 和粗糙的增加被扩大。在活动区域的溶质前面的集中与 Re 增加。而且， Re 和粗糙为不平的破裂在一条长突破尾巴在 BTC，和在活动、不动的区域结果之间的慢溶质分子交换上有重要效果。这研究也证明发达 LBM 能在在不平的破裂学习溶质运输是有效的。

英文摘要：

In this study, the lattice Boltzmann method （LBM） was used to simulate the solute transport in a single rough fracture. The self-affine rough fracture wall was generated with the successive random addition method. The ability of the developed LBM to simulate the solute transport was validated by Taylor dispersion. The effect of fluid velocity on the solute transport in a single rough fracture was investigated using the LBM. The breakthrough curves （BTCs） for continuous injection sources in rough fractures were analyzed and discussed with different Reynolds numbers （Re）. The results show that the rough frac~＇e wall leads to a large fluid velocity gradient across the aperture. Consequently, there is a broad distribution of the immobile region along the rough fracture wall. This distribution of the immobile region is very sensitive to the Re and fracture geometry, and the immobile region is enlarged with the increase of Re and roughness. The concentration of the solute front in the mobile region increases with the Re. Furthermore, the Re and roughness have significant effects on BTCs, and the slow solute molecule exchange between the mobile and immobile regions results in a long breakthrough tail for the rough fracture. This study also demonstrates that the developed LBM can be effective in studying the solute transport in a rough fracture.