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Nonmonotonic traveling wave solutions of infiltration into porous media

Publication ,  Journal Article
DiCarlo, DA; Juanes, R; LaForce, T; Witelski, TP
Published in: Water Resources Research
February 1, 2008

In uniform soils that are susceptible to unstable preferential flow, the water saturation may exhibit a nonmonotonic profile upon continuous infiltration. As this nonmonotonicity (also known as saturation overshoot) cannot be described by the conventional Richards equation, there have been proposed possible extensions to the unsaturated flow equations, including a nonmonotonic capillary pressure-saturation curve and a second-order hyperbolic term. Here, we present analytic traveling wave solutions to the extended Richards equation. These new solutions indeed display a nonmonotonic saturation profile, similar to previous simulation results. We show that these extensions need a regularization term to produce a unique solution. We develop complete analytic solutions using a relaxation regularization term, and we discuss the results in terms of recent measurements of saturation overshoot. Copyright 2008 by the American Geophysical Union.

Duke Scholars

Published In

Water Resources Research

DOI

ISSN

0043-1397

Publication Date

February 1, 2008

Volume

44

Issue

2

Related Subject Headings

  • Environmental Engineering
  • 4011 Environmental engineering
  • 4005 Civil engineering
  • 3707 Hydrology
  • 0907 Environmental Engineering
  • 0905 Civil Engineering
  • 0406 Physical Geography and Environmental Geoscience
 

Citation

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MLA
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DiCarlo, D. A., Juanes, R., LaForce, T., & Witelski, T. P. (2008). Nonmonotonic traveling wave solutions of infiltration into porous media. Water Resources Research, 44(2). https://doi.org/10.1029/2007WR005975
DiCarlo, D. A., R. Juanes, T. LaForce, and T. P. Witelski. “Nonmonotonic traveling wave solutions of infiltration into porous media.” Water Resources Research 44, no. 2 (February 1, 2008). https://doi.org/10.1029/2007WR005975.
DiCarlo DA, Juanes R, LaForce T, Witelski TP. Nonmonotonic traveling wave solutions of infiltration into porous media. Water Resources Research. 2008 Feb 1;44(2).
DiCarlo, D. A., et al. “Nonmonotonic traveling wave solutions of infiltration into porous media.” Water Resources Research, vol. 44, no. 2, Feb. 2008. Scopus, doi:10.1029/2007WR005975.
DiCarlo DA, Juanes R, LaForce T, Witelski TP. Nonmonotonic traveling wave solutions of infiltration into porous media. Water Resources Research. 2008 Feb 1;44(2).
Journal cover image

Published In

Water Resources Research

DOI

ISSN

0043-1397

Publication Date

February 1, 2008

Volume

44

Issue

2

Related Subject Headings

  • Environmental Engineering
  • 4011 Environmental engineering
  • 4005 Civil engineering
  • 3707 Hydrology
  • 0907 Environmental Engineering
  • 0905 Civil Engineering
  • 0406 Physical Geography and Environmental Geoscience