Response of a harbor with two connected basins to incoming long waves

The general features of the resonant response for a given basin, including the determination of the normal modes and relative amplification of incoming long waves can be easily determined by using a numerical model. However, when the relative role of the different geometric parameters want to be studied, the use of analytical solutions becomes extremely useful. An analytical model is developed to determine the coupled oscillations between two rectangular basins connected through a gap, when only one of them is opened to the ocean. This geometry resembles the topographic features of Ciutadella inlet and its adjacent sub-basin (Cala Busquets) in Menorca, Balearic Islands. The analytical solutions show a good agreement with numerical simulations and capture well the changes induced by some hypothetical modifications of Ciutadella-Cala Busquets system. The agreement shown justifies the use of the analytical model as a basis for the discussion on the influence of the geometrical parameters in the normal mode characteristics of the coupled system.