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Stable Channel Cross Sections of Straight Sand Rivers
Author(s) -
Ikeda Syunsuke,
Izumi Norihiro
Publication year - 1991
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/91wr01220
Subject(s) - bed load , geology , sediment transport , hydrology (agriculture) , geotechnical engineering , channel (broadcasting) , bedform , sediment , suspended load , geomorphology , perturbation (astronomy) , engineering , physics , quantum mechanics , electrical engineering
A mathematical model is presented for defining the size and cross section of self‐formed straight sand rivers in which sediments are actively transported everywhere as bedload and suspended load. A balance of lateral bedload and lateral diffusive transport of suspended sediment is imposed to maintain a stable channel cross section. Singular perturbation technique is employed to solve the sediment balance equation, from which a relation for stable depth is derived. A resistance formula for dune‐covered beds is used to obtain stable width. It is revealed theoretically that the channel center depth relative to sediment size is approximately proportional to S −0.8 for natural sand rivers, in which S is longitudinal slope. The analysis is found to agree reasonably well with available laboratory and field data.