Dear Olivier

>    -          In the satellite dataset, CF attribute would be
>    sea_surface_height_above_..
> 
>    -          In the in-situ dataset, CF attribute would be
>    water_body_surface_height_above..

I believe that we have agreed to call the latter water_surface_height_above...
(John's suggestion).

Are you happy with that? I think this general name could be used for sea,
lake or river, but we also keep the sea_surface_height for sea specifically.
I think sea_surface_height is the name which should be used for both
satellite altimetry and tide-gauge measurements (on the sea). It's the same
geophysical quantity, whichever way it's measured, so it should have the
same name. water_surface_height could equally be used for either measurement
method, and is appropriate if the data are not just for the sea.

This sidesteps the general issue of sea/lake/river terms. The use of "surface"
in water_surface makes it clear enough where the water is. If someone is
definitely asking for a standard name which refers to a property of water in
in sea, lake or river in general, we can return to that discussion. Roy gave a
use case, but I'm not sure if that's a definite need. At present, my own
preference would be for the lengthy but clear phrase sea_or_lake_or_river.

Best wishes

Jonathan
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