Determination of sand Roughness for fixed beds

By H. Gladki. 2010

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A physical model for seismic noise generation from sediment transport in rivers (2012, methodology): “U is the depthaveraged flow velocity calculated as U = 8.1u*(H/ks) 1/6 [Parker, 1991], where ks = 3D50 [e.g., Kamphius, 1974], and the critical value of the Shields stress (t*c) is the value of t* at the threshold of particle motion found from Lamb et al. [2008b] for the median grain size D50.”
On aeolian transport: Grain-scale interactions, dynamical mechanisms and scaling laws (2011, background): “In the case of a static granular bed composed of grains of size d, reported values of the hydrodynamic roughness are reasonably consistent: z0 ’ d/30 in Bagnold (1941), z0 ’ d/24 in Schlichting and Gersten (2000) and z0 ’ d/10 in Kamphuis (1974) and Andreotti (2004).”