Rough Correlations: Meta‐Analysis of Roughness Measures in Gravel Bed Rivers

Abstract

Abstract Bed roughness height ( k ) is a key parameter for velocity prediction in open‐channel flows. There is not yet a firm consensus about whether characteristic particle size D 84 or (standard deviation of the channel thalweg) better describes k in gravel bed streams. A data set of 1,788 flume and 713 field measurements with a wide range of channel morphologies and flow conditions were compiled to test whether D 84 or is a better descriptor of k and to explore the influence of several controls on flow resistance variation. Tests were performed using four well‐known flow resistance equations. The results consistently show that outperforms D 84 in predicting velocity and the Smart and Jäggi equation, with as k , outperforms other equations. The data set was grouped based on R / k ( R is the hydraulic radius), channel morphologies, and study sites. performs better than D 84 as a measure of k in all morphologies and much better for channels with large instream wood. The analysis shows R / k is a major control on resistance variation as contains more site‐specific information like bed structure. The topography measurements for step‐pool channels should at least contain measurements on key roughness elements like steps. For gravel‐dune or plane‐bed channels, the proper resolution should be higher than 1/2 dune wavelength and 2 D 84 , respectively. The choice of proper reach length relates to both R / k and roughness type. Further, hydraulic geometry functions with either D 84 or as k are proposed, and the relation between the two metrics is discussed.