KMS Institute Of Geographic Sciences And Natural Resources Research,CAS
| A subordinated advection model for uniform bed load transport from local to regional scales | |
Zhang, Yong1 ; Martin, Raleigh L.2; Chen, Dong3; Baeumer, Boris4; Sun, Hongguang5; Chen, Li6,7
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| 2014-12-01 | |
| Source Publication | JOURNAL OF GEOPHYSICAL RESEARCH-EARTH SURFACE
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| Volume | 119Issue:12Pages:2711-2729 |
| Abstract | Sediment tracers moving as bed load can exhibit anomalous dispersion behavior deviating from Fickian diffusion. The presence of heavy-tailed resting time distributions and thin-tailed step length distributions motivate adoption of fractional-derivative models (FDMs) to describe sediment dispersion, but these models require many parameters that are difficult to quantify. Here we propose a considerably simplified FDM for anomalous transport of uniformly sized grains along straight channels, the subordinated advection equation (SAE), which is based on the concept of time subordination. Unlike previous FDM models with time index between 0 and 1, our SAE model adopts a value of between 1 and 2. This describes random velocities deviating significantly from the mean velocity and models both long resting periods and relatively fast displacements. We show that the model quantifies the dynamics of four bed load transport experiments recorded in the literature. In addition to , SAE model parametersvelocity and capacity coefficientare related to the mean and variance of particle velocities, respectively. Successful application of the SAE model also implies a universal probability density for the heavy-tailed waiting time distribution (with finite mean) and a relatively lighter tailed step length distribution for uniform bed load transport from local to regional scales. |
| Subtype | Article |
| Keyword | Bed Load Transport Subordination Heavy Tail |
| WOS Headings | Science & Technology ; Physical Sciences |
| WOS Subject Extended | Geology |
| WOS Keyword | PATH-LENGTH DISTRIBUTIONS ; SEDIMENT TRANSPORT ; BEDLOAD TRANSPORT ; DISPERSION ; DIFFUSION ; CHANNEL ; STREAMS ; RIVER ; RESTORATION ; ENTRAINMENT |
| Indexed By | SCI |
| Language | 英语 |
| WOS Subject | Geosciences, Multidisciplinary |
| WOS ID | WOS:000348735700010 |
| Publisher | AMER GEOPHYSICAL UNION |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.igsnrr.ac.cn/handle/311030/68422 |
| Collection | 中国科学院地理科学与资源研究所 |
| Corresponding Author | Zhang, Yong |
| Affiliation | 1.Univ Alabama, Dept Geol Sci, Tuscaloosa, AL 35487 USA 2.Univ Calif Los Angeles, Dept Atmospher & Ocean Sci, Los Angeles, CA USA 3.Chinese Acad Sci, Inst Geog Sci & Nat Resources Res, Key Lab Water Cycle & Related Land Surface Proc, Beijing, Peoples R China 4.Univ Otago, Dept Math & Stat, Dunedin, New Zealand 5.Hohai Univ, Coll Mech & Mat, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing, Jiangsu, Peoples R China 6.Desert Res Inst, Div Hydrol Sci, Las Vegas, NV USA 7.Hohai Univ, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing, Jiangsu, Peoples R China |
| Recommended Citation GB/T 7714 | Zhang, Yong,Martin, Raleigh L.,Chen, Dong,et al. A subordinated advection model for uniform bed load transport from local to regional scales[J]. JOURNAL OF GEOPHYSICAL RESEARCH-EARTH SURFACE,2014,119(12):2711-2729. |
| APA | Zhang, Yong,Martin, Raleigh L.,Chen, Dong,Baeumer, Boris,Sun, Hongguang,&Chen, Li.(2014).A subordinated advection model for uniform bed load transport from local to regional scales.JOURNAL OF GEOPHYSICAL RESEARCH-EARTH SURFACE,119(12),2711-2729. |
| MLA | Zhang, Yong,et al."A subordinated advection model for uniform bed load transport from local to regional scales".JOURNAL OF GEOPHYSICAL RESEARCH-EARTH SURFACE 119.12(2014):2711-2729. |
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