Analytical approximation to the solutions of Richards' equation with applications to infiltration, ponding, and time compression approximation

J-Y Parlange, W. L. Hogarth, David Andrew Barry, M. B. Parlange, R. Haverkamp, P. J. Ross, T S Steenhuis, D. A. DiCarlo, Gabriel G Katul

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A recent approach to solve Richards' equation is further improved. This approach brings understanding into the physical processes of infiltration and ponding. In particular we apply it to analyze the standard hydrologic tool of Time Compression Approximation (TCA). We also suggest that the new approach provides a more reliable alternative to TCA, e.g. for predicting ponding time.

Original languageEnglish
Pages (from-to)189-194
Number of pages6
JournalAdvances in Water Resources
Issue number2
Publication statusPublished - 11 Oct 1999
Externally publishedYes


  • Infiltration
  • Ponding
  • Richards' equation
  • Time compression approximation

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