Bit from Wikipedia, not the best source of information in the world, but even so.
NOAA determined that 25 meteotsunamis, on average, impact the Eastern Seaboard of the United States every year. In some parts of the world, they are common enough to have local names:
rissaga or
rissague (
Catalan),
ressaca[
citation needed] or
resarca (
Portuguese),
milgħuba (
Maltese),
marrobbio or
marrubio (
Italian),
Seebär (
German),
abiki or
yota (
Japanese),
šćiga (
Croatian).
[2] Some bodies of water are more susceptible than others, including anywhere that the natural resonance frequency matches that of the waves, such as in long and narrow bays, particularly where the inlet is aligned with the oncoming wave.
I think (though it's just an opinion) that surges due to very old large wave period sets can produce a rise in sea level which could be fairly persistent. Somewhere like the west coast of Ireland & Cornwall beaches sometimes have to be closed due to the oscillations in sea level due to large wave sets. You can be at the water's edge when a large set arrives, the waves may not be that big, but sea level rises by a few feet for 2 or 3 minutes and then returns to it's lowrlevel. These variations in sea level must persist after the waves themselves are insignificant.
Interestingly I've recently been reading a book covering different wave types affecting the oceans.
Graham
Penzance