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Entrainment of bed material by Earth-surface mass flows: Review and reformulation of depth-integrated theory
Iverson, Richard M.1; Ouyang, Chaojun2
Corresponding AuthorRichard M. Iverson
2015-03-01
Source PublicationREVIEWS OF GEOPHYSICS
ISSN8755-1209
Volume53Issue:1Pages:27-58
SubtypeReview
AbstractEarth-surface mass flows such as debris flows, rock avalanches, and dam-break floods can grow greatly in size and destructive potential by entraining bed material they encounter. Increasing use of depth-integrated mass and momentum conservation equations to model these erosive flows motivates a review of the underlying theory. Our review indicates that many existing models apply depth-integrated conservation principles incorrectly, leading to spurious inferences about the role of mass and momentum exchanges at flow-bed boundaries. Model discrepancies can be rectified by analyzing conservation of mass and momentum in a two-layer system consisting of amoving upper layer and static lower layer. Our analysis shows that erosion or deposition rates at the interface between layers must, in general, satisfy three jump conditions. These conditions impose constraints on valid erosion formulas, and they help determine the correct forms of depth-integrated conservation equations. Two of the three jump conditions are closely analogous to Rankine-Hugoniot conditions that describe the behavior of shocks in compressible gasses, and the third jump condition describes shear traction discontinuities that necessarily exist across eroding boundaries. Grain-fluid mixtures commonly behave as compressible materials as they undergo entrainment, because changes in bulk density occur as the mixtures mobilize and merge with an overriding flow. If no bulk density change occurs, then only the shear traction jump condition applies. Even for this special case, however, accurate formulation of depth-integrated momentum equations requires a clear distinction between boundary shear tractions that exist in the presence or absence of bed erosion.
KeywordDebris Flow And lAndslides Erosion Floods Geological Modeling
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1002/2013RG000447
URL查看原文
WOS Subject ExtendedGeochemistry & Geophysics
Indexed BySCI
WOS KeywordARBITRARILY SLOPING BEDS ; FINITE-VOLUME METHODS ; LOW SHIELDS STRESS ; DAM-BREAK FLOWS ; DEBRIS-FLOW ; GRANULAR FLOW ; CHANGE MODEL ; MOMENTUM-TRANSFER ; SNOW AVALANCHES ; ROCK AVALANCHES
Language英语
WOS SubjectGeochemistry & Geophysics
WOS IDWOS:000353556900002
Funding OrganizationNSFC(41101008)
Citation statistics
Cited Times:123[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.imde.ac.cn/handle/131551/7865
Collection山地灾害与地表过程重点实验室
Affiliation1.US Geol Survey, Cascades Volcano Observ, Vancouver, WA 98683 USA
2.Chinese Acad Sci, Inst Mt Hazards & Environm, Chengdu, Peoples R China
Recommended Citation
GB/T 7714
Iverson, Richard M.,Ouyang, Chaojun. Entrainment of bed material by Earth-surface mass flows: Review and reformulation of depth-integrated theory[J]. REVIEWS OF GEOPHYSICS,2015,53(1):27-58.
APA Iverson, Richard M.,&Ouyang, Chaojun.(2015).Entrainment of bed material by Earth-surface mass flows: Review and reformulation of depth-integrated theory.REVIEWS OF GEOPHYSICS,53(1),27-58.
MLA Iverson, Richard M.,et al."Entrainment of bed material by Earth-surface mass flows: Review and reformulation of depth-integrated theory".REVIEWS OF GEOPHYSICS 53.1(2015):27-58.
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