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On an Exact Analytical Solution of the Boussinesq Equation

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Abstract

A useful exact analytical solution of the Boussinesq equation is discussed and is the most general solution presently available, and in particular yields a solution for a finite aquifer. It provides insight into the physical processes arising during the exchange of water between an aquifer and a free body of water of varying height as an application and extension of Barenblatt's solution. We also illustrate the value of such a solution to check numerical and approximate schemes.

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References

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Authors and Affiliations

  1. Department of Agricultural and Biological Engineering, Cornell University, NY, 14853-5701, U.S.A

    J.-Y. Parlange & W. L. Hogarth

  2. School of Civil Engineering, Purdue University, West Lafayette, IN, 47907, U.S.A

    R. S. Govindaraju

  3. Department of Geography and Environmental Engineering, Johns Hopkins University, Baltimore, MD, 21218, U.S.A

    M. B. Parlange

  4. Department of Civil Engineering, The University of Queensland, Brisbane, Australia, 4072

    D. Lockington

Authors
  1. J.-Y. Parlange
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  2. W. L. Hogarth
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  3. R. S. Govindaraju
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  4. M. B. Parlange
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  5. D. Lockington
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Parlange, JY., Hogarth, W.L., Govindaraju, R.S. et al. On an Exact Analytical Solution of the Boussinesq Equation. Transport in Porous Media 39, 339–345 (2000). https://doi.org/10.1023/A:1006504527622

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  • DOI: https://doi.org/10.1023/A:1006504527622

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