We may not have all the science and current understanding to say what's in Gen 2 is untrue.
This is something to consider:
10 And a river went out of Eden to water the garden;
and from thence it was parted, and became into four heads.
(Separated or divided is a better word used for translation)
While the verses seemingly indicate that the rivers all flow from the same source, this is clearly not the case. It has been suggested that the Hebrew word for “
separated,” יפרד, can also be understood as “lost or missing.” According to this approach, the river sunk into the ground at the exit of the Garden of Eden, and later reappeared at
four distinct locations. The verse now reads, “A river flowed out of Eden to water the garden, and from there it was lost (sunk into the ground) and (later reemerged and) became four heads.”
It has further been pointed out that the four rivers are referred to as four
heads and not four
branches, which may imply that they are not four branches of the same river, but rather four distinct riverheads.