A quantum computing-based numerical method of mixed-integer optimal control problems under uncertainty for alkali-surfactant-polymer flooding

This article presents a numerical method based on quantum computing to solve two unresolved key issues for alkali-surfactant-polymer (ASP) flooding in oil exploitation: uncertainties affecting development planning and a switch control regarding injection oil wells. First, a fuzzy multi-objective mix...

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Bibliographic Details
Published in:Engineering optimization Vol. 53; no. 3; pp. 531 - 550
Main Authors: Liu, Zhe, Li, Shurong, Ge, Yulei
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 04.03.2021
Taylor & Francis Ltd
Subjects:
Algorithms
Ant colony optimization
ASP flooding
Fuzzy control
improved possibilistic programming algorithm
Mathematical models
Mixed integer
Mixed-integer optimal control problem
Multiple objective analysis
Nonlinear programming
Numerical analysis
Numerical methods
Oil exploration
Optimal control
Polymer flooding
Polymers
quantum annealing
quantum ant colony algorithm
Quantum computing
Surfactants
Uncertainty
ISSN:0305-215X, 1029-0273
Online Access:Get full text
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Summary:This article presents a numerical method based on quantum computing to solve two unresolved key issues for alkali-surfactant-polymer (ASP) flooding in oil exploitation: uncertainties affecting development planning and a switch control regarding injection oil wells. First, a fuzzy multi-objective mixed-integer optimal control model describing the mechanism of ASP flooding is established. Then, an improved possibilistic programming algorithm is presented to remove fuzziness and transform the model into a deterministic single-objective mixed-integer nonlinear programming (MINLP) model. On this basis, a bi-level quantum computing algorithm including quantum annealing and quantum ant colony algorithm is proposed to solve the MINLP and acquire the optimal mixed-integer control variables. The superiority of the proposed algorithm is verified by testing a number of benchmark examples. Finally, the numerical method based on quantum computing is adopted to solve successfully a mixed-integer optimal control problem for ASP flooding under uncertainty.
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ISSN:0305-215X
1029-0273
DOI:10.1080/0305215X.2020.1741568