Oil and Water

Normal Sudoku rules apply. Numbers inside cages sum to the number in the top left corner of the cage, if given. Numbers may repeat in cages, if other rules allow. Black dots are between numbers that are in a ratio of 2:1. Oil cages show ALL possible black dots. White dots between numbers indicate a consecutive pair. Water cages show ALL possible white dots. All numbers are either oil or water throughout the whole puzzle. Oil numbers will only go in oil cages and water numbers will only go in water cages. The solver must determine which numbers are oil and which are water.