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Simulation of miscible displacement in porous media by a modified method of characteristic procedure

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Numerical Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 912))

Abstract

The miscible displacement of one incompressible fluid by another in a porous medium is described by a system of two nonlinear equation, one elliptic in form for the pressure and the other parabolic in form for the concentration. The pressure and the fluid velocity will be approximated by a mixed finite element method, and the concentration by a finite difference method based on the use of a modified method of characteristic procedure. A convergence analysis is given for the method.

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References

  1. J.H. Bramble, A second-order finite difference analog of the first biharmonic boundary value problem, Numer. Math. 4 (1966), pp. 236–249.

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Authors
  1. Jim Douglas Jr.
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Editor information

G. Alistair Watson

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© 1982 Springer-Verlag

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Douglas, J. (1982). Simulation of miscible displacement in porous media by a modified method of characteristic procedure. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 912. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093149

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  • DOI: https://doi.org/10.1007/BFb0093149

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11199-3

  • Online ISBN: 978-3-540-39009-1

  • eBook Packages: Springer Book Archive

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