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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
2014-12-01
Source PublicationJOURNAL OF GEOPHYSICAL RESEARCH-EARTH SURFACE
Volume119Issue:12Pages:2711-2729
AbstractSediment 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.
SubtypeArticle
KeywordBed Load Transport Subordination Heavy Tail
WOS HeadingsScience & Technology ; Physical Sciences
WOS Subject ExtendedGeology
WOS KeywordPATH-LENGTH DISTRIBUTIONS ; SEDIMENT TRANSPORT ; BEDLOAD TRANSPORT ; DISPERSION ; DIFFUSION ; CHANNEL ; STREAMS ; RIVER ; RESTORATION ; ENTRAINMENT
Indexed BySCI
Language英语
WOS SubjectGeosciences, Multidisciplinary
WOS IDWOS:000348735700010
PublisherAMER GEOPHYSICAL UNION
Citation statistics
Cited Times:18[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.igsnrr.ac.cn/handle/311030/68422
Collection中国科学院地理科学与资源研究所
Corresponding AuthorZhang, Yong
Affiliation1.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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