Particle swarm algorithm with adaptive constraint handling and integrated surrogate model for the management of petroleum fields

M.S. Innocente, Silvana Maria Bastos Afonso, Johann Sienz, Helen M. Davies

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)
49 Downloads (Pure)


This paper deals with the development of effective techniques to automatically obtain the optimum management of petroleum fields aiming to increase the oil production during a given concession period of exploration. The optimization formulations of such a problem turn out to be highly multimodal, and may involve constraints. In this paper, we develop a robust particle swarm algorithm coupled with a novel adaptive constraint-handling technique to search for the global optimum of these formulations. However, this is a population-based method, which therefore requires a high number of evaluations of an objective function. Since the performance evaluation of a given management scheme requires a computationally expensive high-fidelity simulation, it is not practicable to use it directly to guide the search. In order to overcome this drawback, a Kriging surrogate model is used, which is trained offline via evaluations of a High-Fidelity simulator on a number of sample points. The optimizer then seeks the optimum of the surrogate model.

Original languageEnglish
Pages (from-to)463-484
Number of pages22
JournalApplied Soft Computing
Early online date28 May 2015
Publication statusPublished - Sept 2015
Externally publishedYes

Bibliographical note

NOTICE: this is the author’s version of a work that was accepted for publication in Applied Soft Computing. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Applied Soft Computing, 34 (2015)] DOI: 10.1016/j.asoc.2015.05.032

© 2015, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International


  • Adaptive constraint handling
  • Global search
  • Particle swarm
  • Reservoir simulation
  • Surrogate-based optimization
  • Waterflooding management


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