Tide-induced vertical suspended sediment concentration profiles: phase lag and amplitude attenuation |
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| Authors: | Qian Yu Burg W Flemming Shu Gao |
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| Institution: | (1) Senckenberg Institute, Wilhelmshaven, Germany;(2) MOE Laboratory for Coast and Island Development, Nanjing University, Nanjing, China |
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| Abstract: | In tidal environments, the response of suspended sediment concentration (SSC) to the current velocity is not instantaneous,
the SSC lagging behind the velocity (phase lag), and the amplitude of SSC variation decreasing with height above the bed (amplitude
attenuation). In order to quantitatively describe this phenomenon, a one-dimensional vertical advection–diffusion equation
of SSC is derived analytically for uniform unsteady tidal flow by defining a concentration boundary condition using a constant
vertical eddy diffusivity and sediment settling velocity. The solution, in simple and straightforward terms, shows that the
vertical phase lag increases linearly with the height above the bed, while the amplitude of the SSC variation decreases exponentially
with the height. The relationship between the SSC and the normalized current velocity can be represented by an ellipse or
a line, depending on the phase lag. The lag of sediment movement or “diffusion/settling lag” is the mechanism generating the
phase lag effect. Field observations used for validation show that the theoretically predicted and the observed curves of
the vertical SSC phase lag and amplitude attenuation show reasonable agreement. The procedure proposed in this paper substantially
simplifies the modeling of suspended matter transport in tidal flows. |
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