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Multigrid and Renormalization for Reservoir Simulation

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Multigrid Methods IV

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 116))

Abstract

We present a new approach to multigrid for the case of strongly varying equation coefficients which arise in the reservoir simulation pressure equation. Renormalization (hierarchical rescaling) is incorporated into the cell centred multigrid method of Wesseling et.al. and the new method is applied to the pressure equation. Significant improvement in multigrid performance is obtained with the new scheme for typical cases of randomly varying permeability distributions of finite correlation length. A new 9-point scheme is described which is flux continuous both for diagonal and full permeability tensors. Results from the new scheme are presented.

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Author information

Author notes

  1. Michael G. Edwards

    Present address: Dept. of Petroleum Engineering, CPE, University of Texas at Austin, Austin, TX, 78712, USA

Authors and Affiliations

  1. BP Exploration Operating Co Ltd, BPX Technology Provision, Chertsey Road, Sunbury-on-Thames, Middlesex, TW16 7LN, UK

    Clive F. Rogers

Authors
  1. Michael G. Edwards
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  2. Clive F. Rogers
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Editor information

Editors and Affiliations

  1. Dept. of Numerical Mathematics, CWI, Kruislaan 413, 1098 SJ, Amsterdam, Netherlands

    P. W. Hemker

  2. Faculty of Techn. Mathematics & Informatics, Delft University of Technology, Mekelweg 4, 2628 CD, Delft, Netherlands

    P. Wesseling

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© 1994 Springer Basel AG

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Edwards, M.G., Rogers, C.F. (1994). Multigrid and Renormalization for Reservoir Simulation. In: Hemker, P.W., Wesseling, P. (eds) Multigrid Methods IV. ISNM International Series of Numerical Mathematics, vol 116. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8524-9_14

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  • DOI: https://doi.org/10.1007/978-3-0348-8524-9_14

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9664-1

  • Online ISBN: 978-3-0348-8524-9

  • eBook Packages: Springer Book Archive

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