Mode decomposition methods for flows in high-contrast porous media. A global approach

Mehdi Ghommem, Victor M. Calo, Yalchin R. Efendiev

Research output: Contribution to journalArticlepeer-review

15 Scopus citations

Abstract

We apply dynamic mode decomposition (DMD) and proper orthogonal decomposition (POD) methods to flows in highly-heterogeneous porous media to extract the dominant coherent structures and derive reduced-order models via Galerkin projection. Permeability fields with high contrast are considered to investigate the capability of these techniques to capture the main flow features and forecast the flow evolution within a certain accuracy. A DMD-based approach shows a better predictive capability due to its ability to accurately extract the information relevant to long-time dynamics, in particular, the slowly-decaying eigenmodes corresponding to largest eigenvalues. Our study enables a better understanding of the strengths and weaknesses of the applicability of these techniques for flows in high-contrast porous media. Furthermore, we discuss the robustness of DMD- and POD-based reduced-order models with respect to variations in initial conditions, permeability fields, and forcing terms. © 2013 Elsevier Inc.
Original languageEnglish (US)
Pages (from-to)400-413
Number of pages14
JournalJournal of Computational Physics
Volume257
Issue numberPA
DOIs
StatePublished - Jan 2014

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)
  • Computer Science Applications

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