Oil Production Optimisation using Piecewise Linear Approximations(MILP):Computational Performance Comparison vs.MINLP Formulation

摘要

Typical daily operations of oil and gas production systems are characterised by numerous decisions that must be carefully made if field profitability is to be sustained.These systems are usually nonlinear,nonconvex and involve binary decision variables;hence,the application of mathematical optimisation often results in an MINLP formulation.Piecewise linearisation techniques based on Special Ordered Sets of type 2(SOS2)constraints have been used to approximate the nonlinear functions of the optimisation problem for complexity reduction.However,a computational analysis of these MILP-based formulations in comparison to their MINLP equivalents in oil production systems is scarce in literature.In this study,the benefits of MILP reformulation are applied to a synthetic but realistic case.In comparing both formulations,we evaluate solution sensitivity to the number of breakpoints,solution time,accuracy,and ease of automation.