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An implicit diffusive numerical procedure for a slightly compressible miscible displacement problem in porous media

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Numerical Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1066))

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Abstract

An implicit diffusive numerical procedure is formulated for computing the mole fraction distribution in a slightly compressible multicomponent single phase miscible displacement problem in a porous medium. This scheme has several desirable features including a substantial reduction of the "grid orientation" effect often observed with other methods. Theoretical convergence analyses for rectangular regions and computational results for this method are presented.

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Authors
  1. Thom C. Potempa
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  2. Mary Fanett Wheeler
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Editor information

David F. Griffiths

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© 1984 Springer-Verlag

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Potempa, T.C., Wheeler, M.F. (1984). An implicit diffusive numerical procedure for a slightly compressible miscible displacement problem in porous media. In: Griffiths, D.F. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 1066. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0099528

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  • DOI: https://doi.org/10.1007/BFb0099528

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13344-5

  • Online ISBN: 978-3-540-38881-4

  • eBook Packages: Springer Book Archive

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