Distribution of liquid withdrawals by layers of multi-layer oil field
Some method of optimization of liquid withdrawal rates out of deposits, representing a multi-layer oil field, is proposed. Maximum of the accumulated oil production from the whole field serves as a criterion of optimality. Restrictions related to the amount of liquid to be withdrawn from each layer are taken into account. Wells pattern is common for all the layers. There is a possibility of separate injection of withdrawing agent in each layer and, respectively, separate oil production from each layer. The case of the analytical solution of the problem is considered.