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Indirect Determination of Hydraulic Properties of Porous Media

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Flow in Porous Media

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 114))

Abstract

This paper considers an inverse problem associated with modelling unsaturated flow in a porous medium. An unknown coefficient in a typical inverse problem is shown to be uniquely determined in a given equivalence class by a combination of Dirichlet and Neumann data. It is further shown that an approximation to the coefficient can be constructed by an algorithm based on a trace-type functional formulation of the inverse problem.

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References

  1. Cannon J. R. The One Dimensional Heat Equation. Addison Wesley Pub. Corp., 1984.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Lamar University, P. O. Box 10047, Beaumont, TX, 77710, USA

    J. R. Cannon

  2. Department of Mathematics, Colorado State University, Fort Collins, CO, 80523, USA

    Paul DuChateau

Authors
  1. J. R. Cannon
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  2. Paul DuChateau
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Editor information

Editors and Affiliations

  1. Dept. of Mathematics, Purdue University, West Lafayette, IN, 47907, USA

    Jim Douglas Jr.

  2. Fakultät für Informatik, Uni BwM, D-85577, Neubiberg, Germany

    Ulrich Hornung

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© 1993 Springer Basel AG

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Cannon, J.R., DuChateau, P. (1993). Indirect Determination of Hydraulic Properties of Porous Media. In: Douglas, J., Hornung, U. (eds) Flow in Porous Media. ISNM International Series of Numerical Mathematics, vol 114. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8564-5_5

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  • DOI: https://doi.org/10.1007/978-3-0348-8564-5_5

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9682-5

  • Online ISBN: 978-3-0348-8564-5

  • eBook Packages: Springer Book Archive

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