Final answer:
To create a resonance standing wave as a Seiche interacts with astronomical tide producing forces, the frequency of the basin must match that of the tidal forces, and there must be a constructive interference between the Seiche and the tidal waves.
Step-by-step explanation:
For a resonance standing wave (RSW) to be created in a narrow basin as a Seiche interacts with astronomical tide producing forces (TPF), two specific conditions are required:
- The natural or characteristic frequency of the basin must match or nearly match the frequency of the tidal forces. This is akin to pushing a swing at the right moment to increase its amplitude.
- There must be a constructive interference between the Seiche already present in the basin and the incoming tidal forces. This means the waves from both phenomena must align in such a way that their crests and troughs coincide to amplify the wave effect.
Just like a building resonating from an earthquake, these conditions can lead to larger amplitude oscillations within the basin.