Reservoir model of ebb-tidal shoal evolution and sand bypassing

A mathematical model is presented for calculating the change in volume and sand-bypassing rate at ebb-tidal shoals. Conceptually acid mathematically, the ebb-tidal shoal is distinguished from bypassing bars that emerge from i t and from attachment bars where the bypassing bars merge with the beach. T he volumes and bypassing rates of these morphologic entities are calculated by analogy to a reservoir system,where each reservoir can fill to a maximu m (equilibrium) volume. The ratio of the input longshore sand transport rat e and the equilibrium volume of the morphologic feature is found to be a ke y parameter governing morphologic evolution. The analytical model gives exp licit expressions for the time delays in evolution of the bypassing bar and the attachment bar, which are directly related to the delays in sand bypas sing. Predictions of morphology change agree with observations made at Ocea n City Inlet, Md. Examples of extension of the model by numerical solution are given for a hypothetical case of mining of an ebb-tidal shed and for an idealized case of bidirectional longshore sand transport, in which updrift and downdrift bypassing bars and attachment bars are generated.