A fractal derivative model to quantify bed-load transport along a heterogeneous sand bed
文献类型：期刊论文
| 作者 | Nie, Shiqian2,3; Sun, HongGuang3; Zhang, Yong4 ; Zhou, Ling5; Chen, Dong1
|
| 刊名 | ENVIRONMENTAL FLUID MECHANICS
 |
| 出版日期 | 2020-07-11 |
| 页码 | 14 |
| 关键词 | Bed-load transport Hausdorff factal derivative Metric transforms Fractional derivative Anomalous diffusion |
| ISSN号 | 1567-7419 |
| DOI | 10.1007/s10652-020-09755-5 |
| 通讯作者 | Sun, HongGuang(shg@hhu.edu.cn) |
| 英文摘要 | Bed-load transport is a complex process exhibiting anomalous dynamics, which cannot be efficiently described using the traditional advection-diffusion equation. This study aims at developing and testing a Hausdorff fractal derivative model to characterize scale-dependent, anomalous dynamics of bed-load transport through a heterogeneous gravel-bed. Applications show that the Hausdorff fractal derivative model generally matches the bed sediment snapshots measured in flume experiments with both continuous and instantaneous sediment sources. The order of the Hausdorff fractal derivative is a scale-dependent indicator varying with bed heterogeneity and particle size. For example, bed armoring and size selective transport can cause the fast downstream motion of fine sediment and the enhanced trapping for coarse materials, which can be conveniently quantified by selecting the corresponding order of the Hausdorff fractal derivative in the new model proposed by this study. Further comparison with the fractional derivative model (containing a nonlocal operator to capture long-term memory embedded in both motion and resting of sediment particles) shows that both models can capture anomalous bed-load dynamics, while the Hausdorff fractal derivative model is more attractive due to its local operator and convenient numerical solution. |
| WOS关键词 | DIFFUSION EQUATION ; BEDLOAD TRANSPORT ; MORPHOLOGY ; DISPERSION ; SALTATION |
| 资助项目 | National Key R & D Program of China[2017YFC0405203] ; National Natural Science Foundation of China[11972148] ; Fundamental Research Funds for the Central Universities[2019B16014] |
| WOS研究方向 | Environmental Sciences & Ecology ; Mechanics ; Meteorology & Atmospheric Sciences ; Oceanography ; Water Resources |
| 语种 | 英语 |
| WOS记录号 | WOS:000547361100002 |
| 出版者 | SPRINGER |
| 资助机构 | National Key R & D Program of China ; National Natural Science Foundation of China ; Fundamental Research Funds for the Central Universities |
| 源URL | [http://ir.igsnrr.ac.cn/handle/311030/162370]  |
| 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.Shandong Univ Sci & Technolgy, Coll Math & Syst Sci, Qingdao 266590, Shandong, Peoples R China 3.Hohai Univ, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 210098, Jiangsu, Peoples R China 4.Univ Alabama, Dept Geol Sci, Tuscaloosa, AL 35487 USA 5.Hohai Univ, Coll Water Conservancy & Hydropower Engn, Nanjing 210098, Jiangsu, Peoples R China |
| 推荐引用方式 GB/T 7714 | Nie, Shiqian,Sun, HongGuang,Zhang, Yong,et al. A fractal derivative model to quantify bed-load transport along a heterogeneous sand bed[J]. ENVIRONMENTAL FLUID MECHANICS,2020:14. |
| APA | Nie, Shiqian,Sun, HongGuang,Zhang, Yong,Zhou, Ling,&Chen, Dong.(2020).A fractal derivative model to quantify bed-load transport along a heterogeneous sand bed.ENVIRONMENTAL FLUID MECHANICS,14. |
| MLA | Nie, Shiqian,et al."A fractal derivative model to quantify bed-load transport along a heterogeneous sand bed".ENVIRONMENTAL FLUID MECHANICS (2020):14. |
入库方式： OAI收割
来源：地理科学与资源研究所
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