Modeling of Sediment Transport with a Mobile Mixed-Sand Bed in Wave Motion

An Experimental Study on Progressive and Reverse Fluxes of Sediments with Fine Fractions in the Wave Motion over Sloped Bed

“…This paper assumes that due to the different nature of physical processes occurring at different distances from the bed, it is necessary to use different assumptions and equations to describe the vertical structure of sediment transport. The basic multilayer model [32,35] presents three main layers with separated sub-layers. The first layer of the model is characterized by a very high concentration of sediment in the immediate vicinity, i.e., directly above and below the conventional bed line, in which drag movement dominates.…”

“…It is assumed [32,35] that in a moving layer of densely compacted sediments, all sediment fractions, at each level from the bed, move at a velocity equal to the velocity of the mixture at that level, and the interactions between sediment fractions are so strong that finer fractions are slowed down by coarser ones. The model also takes into account that the most intense vertical sorting of sediment occurs in the contact layer, where turbulent fluid pulsations and chaotic grain collisions cause the magnitudes of instantaneous velocities u(z,t) and concentrations c(z,t) to differ for individual fractions.…”

“…Knowledge of these quantities allows to expand our knowledge of sediment transport in the crest and trough phase of the wave over the sloping bed, respectively, and allows to compare the obtained results with the measured results obtained over the flat bed [31]. The experimental results were then confronted with the results of theoretical analysis based on the three-layer model of heterogeneous sediment transport [32].…”

“…This concept was later extended by Kaczmarek and Ostrowski [34] to describe the transport of homogeneous sediments under wave-current conditions and by Kaczmarek et al [35] to describe the transport of granulometrically heterogeneous sediments under wave-current conditions, as well as by Kaczmarek et al [36,37] to describe morphological changes. The theoretical basis on the multilayer model of transport of granulometrically heterogeneous sediments under both wave and flow conditions is summarized by Kaczmarek et al [32,38,39]. The presented theoretical model verified by present experiments is, on the one hand, a continuation of the latest achievements in the area of research on the wave transport [7,8,[24][25][26][27][28][29][30]], but at the same time proposes a "new way" of research, focusing not on the resultant transport in time, but on the separately considered transport in the crest and trough of the wave.…”

Analytical Model for Graded Sediment Transport in Velocity‐ and Acceleration‐Skewed Oscillatory Sheet Flow

“…The morphodynamic problems also depend on the sediment size distribution because the effect of size gradation on the morphodynamic processes mentioned above can only be involved by considering the sediment transport rates of different size fractions (van Rijn, 2007; Srisuwan & Work, 2015). Subsequently, the improved parameterized formulae (van der A et al., 2013; Wu & Lin, 2014), process‐based models (Caliskan & Fuhrman, 2017; Kaczmarek et al., 2022), and morphodynamic models (Broekema et al., 2016; Srisuwan et al., 2015) are developed for graded sediment. The graded approach divides the mixture into several size fractions and employs the size of each fraction to the uniform sediment equations with a correction factor to account for the fractional interaction (Day, 1980; Egiazaroff, 1965).…”