Energy minimizing bases for efficient multiscale modeling and linear solvers in reservoir simulation

Olivier Dubois, Ilya D. Mishev, Ludmil Zikatanov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

Abstract

We demonstrate the applicability of energy minimizing bases for two-phase flow simulations, and we highlight several advantageous properties that they possess. We show how they can be implemented to obtain efficient serial (algebraic multigrid) and parallel (Additive Schwarz with coarse space correction) linear solvers for large-scale heterogeneous problems. We also confirm with experiments that using such bases for coarsening a problem produces a numerical solution of quality comparable to that of other available multiscale techniques. Finally, we also indicate how different coarsening levels can be used in different regions, in order to keep a finer resolution near certain areas of interest and significantly coarser resolution elsewhere. A multilevel approach is adopted to efficiently construct the basis functions for the coarser resolution.

Original languageEnglish (US)
Title of host publicationSPE Reservoir Simulation Symposium Proceedings
PublisherSociety of Petroleum Engineers
Pages965-974
Number of pages10
ISBN (Print)9781605607771
DOIs
StatePublished - Jan 1 2009
EventSPE Reservoir Simulation Symposium 2009 - The Woodlands, TX, United States
Duration: Feb 2 2009Feb 4 2009

Publication series

NameSPE Reservoir Simulation Symposium Proceedings
Volume2

Other

OtherSPE Reservoir Simulation Symposium 2009
CountryUnited States
CityThe Woodlands, TX
Period2/2/092/4/09

All Science Journal Classification (ASJC) codes

  • Geotechnical Engineering and Engineering Geology
  • Energy Engineering and Power Technology

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  • Cite this

    Dubois, O., Mishev, I. D., & Zikatanov, L. (2009). Energy minimizing bases for efficient multiscale modeling and linear solvers in reservoir simulation. In SPE Reservoir Simulation Symposium Proceedings (pp. 965-974). (SPE Reservoir Simulation Symposium Proceedings; Vol. 2). Society of Petroleum Engineers. https://doi.org/10.2118/119137-ms