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Instability in Runge-Kutta schemes for simulation of oil recovery

  • Part II Numerical Mathematics
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Abstract

Runge-Kutta timestep schemes have been used recently in an attempt to increase the maximum stable timestep for IMPES (implicit pressure, explicit saturation) simulation of oil recovery. It has been claimed that anm-stage method will increase the real stability boundary bym 2. A rigorous stability analysis for a Buckley-Leverett problem shows that this claim is false, and that previous stabilized IMPES schemes are never more efficient than ordinary IMPES. Test calculations support these results.

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Authors and Affiliations

  1. Computer Modelling Group, 3512-33 Street N.W., T2L 2A6, Calgary, Alberta, Canada

    P. H. Sammon & P. Forsyth Jr.

Authors
  1. P. H. Sammon
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  2. P. Forsyth Jr.
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Sammon, P.H., Forsyth, P. Instability in Runge-Kutta schemes for simulation of oil recovery. BIT 24, 373–379 (1984). https://doi.org/10.1007/BF02136036

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  • DOI: https://doi.org/10.1007/BF02136036

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