摘要
河道中溶质在低速区和高速区内的复杂交互作用是导致溶质发生反常输运现象的主要原因之一。截断型分数阶导数模型将复杂流场中溶质输运过程视为低速滞留区和高速流动区的耦合过程,并引入截断系数描述溶质浓度由幂率衰减到指数衰减的过程。考察了不同条件下模型参数对截断型分数阶导数模型模拟结果的影响。并利用此模型模拟相同实验条件下不同粒子的不同拖尾行为,对比实验观测数据发现,截断型分数阶导数模型能够较好的模拟衰减过程变化的拖尾现象。
The intricate interaction of solute in streams within the active channel and the retention zone is one of the main reasons leading to anomalous solute transport. Tempered fractional advection-dispersion model was introduced to characterize the solute transport process in complex flow field as the coupling process of the low-speed retention zone and the high-speed flow zone. In this model,a truncation parameter was employed to describe the transition from anomalous transport（ power law decay） to normal transport（ exponential decay） with time. In this paper,the influence of the parameters on the numerical results of the tempered fractional derivative advection-dispersion model under different conditions was investigated. Moreover,tailing behaviors of different solutes under the same experimental conditions were simulated by the tempered fractional model.It was found that the tempered fractional model effectively characterized the tailing behaviors in attenuation process.
作者
韦慧
孙洪广
危嵩
WEI Hui;SUN Hong-guang;WEI Song(School of Mathematics and Big Data, Anhui University of Science ＆ Technology, Huainan 232001, China;State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, College of Mechanics and Materials, Hohai University, Nanjing 210098, China)
出处
《环境工程》
CAS
CSCD
北大核心
2018年第5期6-10,40,共6页
Environmental Engineering
基金
国家自然科学基金(41330632
41628202
11572112
11601007)
中央高校基本科研业务费项目(2015B18814
2017B21614)
