It may also be worth noting that "apsu" or "absu" is the Babylonian word for well (as in the above mentioned fresh water). Wells and springs are often symbolic of deep and hidden knowledge, such as that which might be found with those that are older than the gods (see Prometheus and the other Greek Titans).

The soft link below to the word abyss makes me think it might be quite possible that this, too, is etymologically related. Just a speculation.