Application of Hausdorff fractal derivative to the determination of the vertical sediment concentration distribution
文献类型：期刊论文
| 作者 | Sun, Hongguang3,5; Nie, Shiqian4,5; Packman, Aaron I.6; Zhang, Yong7; Chen, Dong1; Lu, Chengpeng8; Zheng, Chunmiao2 |
| 刊名 | INTERNATIONAL JOURNAL OF SEDIMENT RESEARCH
 |
| 出版日期 | 2023-02-01 |
| 卷号 | 38期号:1页码:12-23 |
| 关键词 | Anomalous diffusion Hausdorff fractal derivative Vertical concentration distribution Suspended sediment Metric transform |
| ISSN号 | 1001-6279 |
| DOI | 10.1016/j.ijsrc.2022.07.007 |
| 通讯作者 | Sun, Hongguang(shg@hhu.edu.cn) |
| 英文摘要 | The Rouse formula and its variants have been widely used to calculate the steady-state vertical con-centration distribution for suspended sediment in steady sediment-laden flows, where the diffusive flux is assumed to be Fickian. Turbulent flow, however, exhibits fractal properties, leading to non-Fickian diffusive flux for sediment particles. To characterize non-Fickian dynamics of suspended sediment, the current study proposes a Hausdorff fractal derivative based advection-dispersion equation (HADE) model, where the Fickian diffusive flux in the Rouse model is replaced by a fractal derivative re-scaled using a constant diffusivity. The order of the Hausdorff fractal derivative is designed to characterize the influence of the multi-fractal turbulence structure on sediment diffusion. Applications show that the HADE model, with the analytical solution expressed using a stretched exponential function, can accu-rately describe the observed vertical concentration profiles for suspended sediment with different sizes. This improvement well captures the non-exponential decay of the vertical sediment concentration in turbulent flow. Further analyses of measured sediment concentration profiles reveal that the Hausdorff fractal order decreases with the Rouse parameter, which describes the stronger impact of turbulent flow and a more uniform sediment concentration profile for smaller particles. Model comparisons also show that the HADE model provides better performance in describing the sediment concentration profiles than the improved Rouse formula and the standard fractional derivative advection-dispersion equation (FADE), which either under-or over-estimates vertical displacement of sediment particles, likely due to coherent turbulent structures.(c) 2022 International Research and Training Centre on Erosion and Sedimentation/the World Association for Sedimentation and Erosion Research. Published by Elsevier B.V. All rights reserved. |
| WOS关键词 | SUSPENDED-SEDIMENT ; MODEL ; DIFFUSION ; SUSPENSION ; EQUATION ; ACCELERATIONS ; TRANSPORT ; VELOCITY |
| 资助项目 | National Natural Science Foundation of China ; Fundamental Research Funds for the Central Universities ; U.S. National Science Foundation ; [11972148] ; [B210202092] ; [EAR-173430 0] |
| WOS研究方向 | Environmental Sciences & Ecology ; Water Resources |
| 语种 | 英语 |
| WOS记录号 | WOS:000887232000002 |
| 出版者 | IRTCES |
| 资助机构 | National Natural Science Foundation of China ; Fundamental Research Funds for the Central Universities ; U.S. National Science Foundation |
| 源URL | [http://ir.igsnrr.ac.cn/handle/311030/187554]  |
| 专题 | 中国科学院地理科学与资源研究所 |
| 通讯作者 | Sun, Hongguang |
| 作者单位 | 1.Chinese Acad Sci, Inst Geog Sci & Nat Resources Res, Beijing 100101, Peoples R China 2.Southern Univ Sci & Technol, Sch Environm Sci & Engn, Shenzhen 518055, Guangdong, Peoples R China 3.Hohai Univ, State Key Lab Hydrol Water Resources & Hydraul Eng, Nanjing 210098, Jiangsu, Peoples R China 4.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China 5.Hohai Univ, Coll Mech & Mat, Nanjing 210098, Jiangsu, Peoples R China 6.Northwestern Univ, Dept Civil & Environm Engn, Evanston, IL USA 7.Univ Alabama, Dept Geol Sci, Tuscaloosa, AL 35487 USA 8.Hohai Univ, Coll Hydrol & Water Resources, Nanjing 210098, Jiangsu, Peoples R China |
| 推荐引用方式 GB/T 7714 | Sun, Hongguang,Nie, Shiqian,Packman, Aaron I.,et al. Application of Hausdorff fractal derivative to the determination of the vertical sediment concentration distribution[J]. INTERNATIONAL JOURNAL OF SEDIMENT RESEARCH,2023,38(1):12-23. |
| APA | Sun, Hongguang.,Nie, Shiqian.,Packman, Aaron I..,Zhang, Yong.,Chen, Dong.,...&Zheng, Chunmiao.(2023).Application of Hausdorff fractal derivative to the determination of the vertical sediment concentration distribution.INTERNATIONAL JOURNAL OF SEDIMENT RESEARCH,38(1),12-23. |
| MLA | Sun, Hongguang,et al."Application of Hausdorff fractal derivative to the determination of the vertical sediment concentration distribution".INTERNATIONAL JOURNAL OF SEDIMENT RESEARCH 38.1(2023):12-23. |
入库方式： OAI收割
来源：地理科学与资源研究所
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