Dimensionless erosion laws for cohesive sediment

A method of achieving a dimensionless collapse of erosion-rate data for cohesive sediments is proposed and shown to work well for data collected in flume-erosion tests on mixtures of sand and mud (silt plus clay sized particles) for a wide range of mud fraction. The data collapse corresponds to a dimensional erosion law of the form E∼(τ−τc)m">E∼(τ−τc)mE∼(τ−τc)m, where E">EE is erosion rate, τ">ττ is shear stress, τc">τcτc is the threshold shear stress for erosion to occur, and m≈7/4">m≈7/4m≈7/4. This result contrasts with the commonly assumed linear erosion law E=kd(τ−τc)">E=kd(τ−τc)E=kd(τ−τc), where kd">kdkd is a measure of how easily sediment is eroded. The data collapse prompts a re-examination of the way that results of the hole-erosion test (HET) and jet-erosion test (JET) are customarily analyzed, and also calls into question the meaningfulness not only of proposed empirical relationships between kd">kdkd and τc">τcτc, but also of the erodibility parameter kd">kdkd itself. Fuller comparison of flume-erosion data with hole-erosion and jet-erosion data will require revised analyses of the HET and JET that drop the assumption m=1">m=1m=1 and, in the case of the JET, certain simplifying assumptions about the mechanics of jet scour.