Stable-channel design in alluvial rivers |
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| Authors: | George A Griffiths |
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| Institution: | Water and Soil Division, Ministry of Works and Development, Christchurch New Zealand |
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| Abstract: | A theory of stable-channel design is deduced from the condition that, for any given steady flow, total sediment concentration maintains a balanced average in space and time within a stable channel. This condition for stability applies during changes in channel position but does not constrain them. A stability index is defined in terms of concentration of bedmaterial load: a function of steady, uniform or quasi-uniform water discharge, channel bedslope, water surface width and a typical diameter of cohesionless, granular bedmaterial. The index is constant only within a stable channel, and its mean magnitude may be determined from observations at cross-sections of more or less straight, wide reaches. Two distinct design methods, threshold and mobile-bed, are deduced from the theory. Design formula are presented for both methods as functions of the channel stability index, and are applicable to cross-sections or reaches, independent of planform, of both sand-silt and gravel-bed rivers. A relation describing variation along a channel in the ratio of bedload to suspended-sediment discharge, for a specified steady flow, is also inferred from the stability condition. |
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