I am very used to dealing with body waves, but I am a bit confused by water waves. As a side effect of an imaging experiment, we are introducing kiloherz mechanical waves into a small volume of water (around 1 cm by 1 cm by 1 mm) and want to understand the generated waves better. Since restoring forces are only surface tension and gravity (If I understood everything right), does the depth of the container influnce the wave speed? Are there guided waves present like in a thing sheet of an elastic material? I would be super happy if you could give me some intuition or good sources on this, all I could find are pages and pages on ocean waves. Thanks and all the best!
EDIT: Sorry for being unclear: Shaking means using a piezoelectric actuator to move the tub in plane with the water surface at anywhere between 2000 and 10000 Hz with about 10 µm total displacement. No rotation, just translation