Synthesis of pressure control laws at wells to optimize gas condensate mining

Abstract

The paper is devoted to the problem of optimizing gas condensate mining in the process of developing a given number of wells in a field. The essence of the problem is such a distribution of control actions, which are wells pressures, at which, for a given fixed rate of gas mixture mining, maximum gas condensate extraction is ensured at a certain planning horizon. A formalized formulation of the problem is carried out and it is shown that it reduces to a nonlinear programming problem with essentially nonlinear objective function and constraints. Two different approaches to finding the optimal solution are proposed. The first of them is based on solving the original optimization problem, and the second one — on simplifying it in order to reduce the computational costs of finding a solution. A numerical example of gas condensate mining for five wells is presented and a comparison of the obtained modeling results for these two algorithms is performed.