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- Model:Cross Shore Sediment Flux + (Using energetics-based formulations for wa … Using energetics-based formulations for wave-driven sediment transport, we develop a robust methodology for estimating the morphodynamic evolution of a cross-shore sandy coastal profile. The wave-driven cross-shore</br>sediment flux depends on three components: two onshore-directed terms (wave asymmetry and wave streaming) and an offshore-directed slope term. The cross-shore sediment transport formulation defines a dynamic equilibrium profile and, by perturbing about this steady-state profile, we present an advection-diffusion formula for profile evolution. Morphodynamic Péclet analysis suggests that the shoreface is diffusionally dominated. Using this depth-dependent characteristic diffusivity timescale, we distinguish a morphodynamic depth of closure for a given time envelope. Even though wave-driven sediment transport can (and will) occur at deeper depths, the rate of morphologic bed changes in response to shoreline change becomes increasingly slow below this morphodynamic closure depth.ow below this morphodynamic closure depth.)
