Surfactants cause an oil-water emulsions to form. You have to break this emulsion before it is possible to remove oil with a gravity type oil-water separator, Gravity oil-water separators will not remove emulsified oil.
Methods that are used to break emulsions include lowering the pH, chemical additions, and heat. Some of these methods are more costly to operate than others. However, it is a common practice to lower the pH to around 5.3 units in order to break an emulsion.
You will need to conduct some bench top scale lab experiments in order to determine the best emulsion breaking technique.