Article: Mixed integer linear programming approaches to optimising oil production in offshore petroleum fields Journal: International Journal of Mathematics in Operational Research (IJMOR) 2022 Vol.22 No.4 pp.468 - 495 Abstract: In this work, mathematical models were developed to maximise oil production in offshore petroleum fields. The wells considered can be equipped with continuous gas-lift, electrical submersible pumps and naturally flowing, and connected by manifold or satellite. Platforms' fluid processing capacity and operational condition were considered as well. Two nonlinear models were developed: one model that considered the pipeline network as a fixed parameter, analysing the system configuration; and another that allows the assignment of wells to manifolds, analysing production improvement with network changes. Using piecewise linearisation for multidimensional functions, four mixed-integer linear formulations were proposed. Two-variable functions were linearised using the diagonal method and triangle method and three-variable functions were linearised using plane method. Using a real scenario, there were investigated the piecewise refinement, computational complexity, and solutions error. Results shown the model's applicability for daily adjustments and indicates the necessity of new investments in pipeline connections. Inderscience Publishers - linking academia, business and industry through research

Title: Mixed integer linear programming approaches to optimising oil production in offshore petroleum fields

Authors: André Gonçalves Medeiros; Leandro Colombi Resendo

Addresses: Federal Institute of Espírito Santo, Rodovia ES 010, Km 6.5, s/n – Manguinhos, Serra – ES, 29173-087, Brazil ' Federal Institute of Espírito Santo, Rodovia ES 010, Km 6.5, s/n – Manguinhos, Serra – ES, 29173-087, Brazil

Abstract: In this work, mathematical models were developed to maximise oil production in offshore petroleum fields. The wells considered can be equipped with continuous gas-lift, electrical submersible pumps and naturally flowing, and connected by manifold or satellite. Platforms' fluid processing capacity and operational condition were considered as well. Two nonlinear models were developed: one model that considered the pipeline network as a fixed parameter, analysing the system configuration; and another that allows the assignment of wells to manifolds, analysing production improvement with network changes. Using piecewise linearisation for multidimensional functions, four mixed-integer linear formulations were proposed. Two-variable functions were linearised using the diagonal method and triangle method and three-variable functions were linearised using plane method. Using a real scenario, there were investigated the piecewise refinement, computational complexity, and solutions error. Results shown the model's applicability for daily adjustments and indicates the necessity of new investments in pipeline connections.

Keywords: mixed integer linear programming; MILP; offshore oilfield; linearisation; diagonal method; triangle method; plane method; production optimisation; continuous gas lift; electrical submersible pumps; ESP.

DOI: 10.1504/IJMOR.2022.126045

International Journal of Mathematics in Operational Research, 2022 Vol.22 No.4, pp.468 - 495

Received: 24 Mar 2021
Accepted: 02 Jun 2021
Published online: 10 Oct 2022 *

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Title: Mixed integer linear programming approaches to optimising oil production in offshore petroleum fields

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