in reply to DBD module.

As dragonchild said, you can set $ENV{ORACLE_SID} however you don't have to do so. You can add the SID to your connect statement (see DBD::Oracle).
# set your $host, $sid, $user and $passwd then connect my $dbh = DBI->connect("dbi:Oracle:host=$host;sid=$sid", $user, $passw +d);