Definition of the problem
The reservoir under investigation is composed by multiple layers and has been drilled by means of multi-layered completions (smart wells).
One of the wells perforates at the same time a gas layer and an oil layer. The gas layer has a downhole controllable choke (inflow controllable valve) that can limit or increase the flow of gas in the well.It is renown that flowing more gas along with oil decreases the pressure losses by gravity, but increases the pressure losses by friction. This is the principle of natural gas lift.
Challenge: what would be the optimum flow of gas that would maximize the amount of oil from the system?