I believe that the participle in the following phrase refers to the second noun (rubbish):
...possible sites with submerged rubbish
But I have some doubts. Could "submerged rubbish" be a participle phrase for "sites"? Or are "sites" and "rubbish" two independent parts in this sentence, connected by "with"?
In the phrase "the idea of putting rubbish into the harbour..", "putting" is a participle referring to "idea". So, I'm wondering, could it be the same case in the first phrase or not.
Could you please share your opinion on this?
Edited:
Thanks for the correction, "putting" is a gerund, of course!*
The second sentence is just another example of a relationship between a noun and a following preposition + modifier + noun. So, the question is if "submerged rubbish" functions as a modifier of "sites"? Or it complements "sites"?