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Perturbation Analysis for Wetting Fronts in Richards' Equation

Publication ,  Journal Article
Witelski, TP
Published in: Transport in Porous Media
January 1, 1997

Perturbation methods are used to study the interaction of wetting fronts with impervious boundaries in layered soils. Solutions of Richards' equation for horizontal and vertical infiltration problems are considered. Asymptotically accurate solutions are constructed from outer solutions and boundary-layer corrections. Results are compared with numerical simulations to demonstrate a high level of accuracy.

Duke Scholars

Published In

Transport in Porous Media

DOI

ISSN

0169-3913

Publication Date

January 1, 1997

Volume

27

Issue

2

Start / End Page

121 / 134

Related Subject Headings

  • Environmental Engineering
  • 4901 Applied mathematics
  • 4005 Civil engineering
  • 4004 Chemical engineering
  • 0905 Civil Engineering
  • 0904 Chemical Engineering
  • 0102 Applied Mathematics
 

Citation

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Witelski, T. P. (1997). Perturbation Analysis for Wetting Fronts in Richards' Equation. Transport in Porous Media, 27(2), 121–134. https://doi.org/10.1023/A:1006513009125
Witelski, T. P. “Perturbation Analysis for Wetting Fronts in Richards' Equation.” Transport in Porous Media 27, no. 2 (January 1, 1997): 121–34. https://doi.org/10.1023/A:1006513009125.
Witelski TP. Perturbation Analysis for Wetting Fronts in Richards' Equation. Transport in Porous Media. 1997 Jan 1;27(2):121–34.
Witelski, T. P. “Perturbation Analysis for Wetting Fronts in Richards' Equation.” Transport in Porous Media, vol. 27, no. 2, Jan. 1997, pp. 121–34. Scopus, doi:10.1023/A:1006513009125.
Witelski TP. Perturbation Analysis for Wetting Fronts in Richards' Equation. Transport in Porous Media. 1997 Jan 1;27(2):121–134.
Journal cover image

Published In

Transport in Porous Media

DOI

ISSN

0169-3913

Publication Date

January 1, 1997

Volume

27

Issue

2

Start / End Page

121 / 134

Related Subject Headings

  • Environmental Engineering
  • 4901 Applied mathematics
  • 4005 Civil engineering
  • 4004 Chemical engineering
  • 0905 Civil Engineering
  • 0904 Chemical Engineering
  • 0102 Applied Mathematics