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

Publication ,  Journal Article
Parlange, JY; Hogarth, WL; Barry, DA; Parlange, MB; Haverkamp, R; Ross, PJ; Steenhuis, TS; DiCarlo, DA; Katul, G
Published in: Advances in Water Resources
October 11, 1999

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.

Duke Scholars

Published In

Advances in Water Resources

DOI

ISSN

0309-1708

Publication Date

October 11, 1999

Volume

23

Issue

2

Start / End Page

189 / 194

Related Subject Headings

  • Environmental Engineering
  • 4901 Applied mathematics
  • 4005 Civil engineering
  • 3707 Hydrology
  • 0907 Environmental Engineering
  • 0905 Civil Engineering
  • 0102 Applied Mathematics
 

Citation

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Parlange, J. Y., Hogarth, W. L., Barry, D. A., Parlange, M. B., Haverkamp, R., Ross, P. J., … Katul, G. (1999). Analytical approximation to the solutions of Richards' equation with applications to infiltration, ponding, and time compression approximation. Advances in Water Resources, 23(2), 189–194. https://doi.org/10.1016/S0309-1708(99)00022-6
Parlange, J. Y., W. L. Hogarth, D. A. Barry, M. B. Parlange, R. Haverkamp, P. J. Ross, T. S. Steenhuis, D. A. DiCarlo, and G. Katul. “Analytical approximation to the solutions of Richards' equation with applications to infiltration, ponding, and time compression approximation.” Advances in Water Resources 23, no. 2 (October 11, 1999): 189–94. https://doi.org/10.1016/S0309-1708(99)00022-6.
Parlange JY, Hogarth WL, Barry DA, Parlange MB, Haverkamp R, Ross PJ, et al. Analytical approximation to the solutions of Richards' equation with applications to infiltration, ponding, and time compression approximation. Advances in Water Resources. 1999 Oct 11;23(2):189–94.
Parlange, J. Y., et al. “Analytical approximation to the solutions of Richards' equation with applications to infiltration, ponding, and time compression approximation.” Advances in Water Resources, vol. 23, no. 2, Oct. 1999, pp. 189–94. Scopus, doi:10.1016/S0309-1708(99)00022-6.
Parlange JY, Hogarth WL, Barry DA, Parlange MB, Haverkamp R, Ross PJ, Steenhuis TS, DiCarlo DA, Katul G. Analytical approximation to the solutions of Richards' equation with applications to infiltration, ponding, and time compression approximation. Advances in Water Resources. 1999 Oct 11;23(2):189–194.
Journal cover image

Published In

Advances in Water Resources

DOI

ISSN

0309-1708

Publication Date

October 11, 1999

Volume

23

Issue

2

Start / End Page

189 / 194

Related Subject Headings

  • Environmental Engineering
  • 4901 Applied mathematics
  • 4005 Civil engineering
  • 3707 Hydrology
  • 0907 Environmental Engineering
  • 0905 Civil Engineering
  • 0102 Applied Mathematics