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

doi:10.1016/S0309-1708(99)00022-6

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

Research output: Contribution to journal › Article › Research › peer-review

39 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	189-194
Number of pages	6
Journal	Advances in Water Resources
Volume	23
Issue number	2
DOIs	https://doi.org/10.1016/S0309-1708(99)00022-6
Publication status	Published - 11 Oct 1999
Externally published	Yes

Keywords

Infiltration
Ponding
Richards' equation
Time compression approximation

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10.1016/S0309-1708(99)00022-6

Cite this

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

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abstract = "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.",

keywords = "Infiltration, Ponding, Richards' equation, Time compression approximation",

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

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doi = "10.1016/S0309-1708(99)00022-6",

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Parlange, J-Y, Hogarth, WL, Barry, DA, Parlange, MB, Haverkamp, R, Ross, PJ, Steenhuis, TS, DiCarlo, DA & Katul, GG 1999, '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, pp. 189-194. https://doi.org/10.1016/S0309-1708(99)00022-6

TY - JOUR

T1 - Analytical approximation to the solutions of Richards' equation with applications to infiltration, ponding, and time compression approximation

AU - Parlange, J-Y

AU - Hogarth, W. L.

AU - Barry, David Andrew

AU - Parlange, M. B.

AU - Haverkamp, R.

AU - Ross, P. J.

AU - Steenhuis, T S

AU - DiCarlo, D. A.

AU - Katul, Gabriel G

PY - 1999/10/11

Y1 - 1999/10/11

N2 - 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.

AB - 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.

KW - Infiltration

KW - Ponding

KW - Richards' equation

KW - Time compression approximation

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U2 - 10.1016/S0309-1708(99)00022-6

DO - 10.1016/S0309-1708(99)00022-6

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JO - Advances in Water Resources

JF - Advances in Water Resources

IS - 2

ER -

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

Abstract

Keywords

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