Optimal solutions of the Bruce and Klute equation

M. B. Parlange; Rafael Chacon Fuentes; R. Haverkamp; J-Y Parlange; D. Elrick; M. J. Price

Optimal solutions of the Bruce and Klute equation

M. B. Parlange, Rafael Chacon Fuentes, R. Haverkamp, J-Y Parlange, D. Elrick, M. J. Price

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

Abstract

A simple analytical expression is derived to describe soil water profiles satisfying the Bruce and Klute equation. Two parameters have to be determined from integral conditions. The simplicity and accuracy of the technique is checked when the soil-water diffusivity obeys an exponential or a power law function. For those two examples no numerical work is necessary as the results are expressed in terms of tabulated functions only. The method extends to the profile determination the optimal technique used earlier for the determination of the sorptivity, with the same precision.

Original language	English
Pages (from-to)	1-7
Number of pages	7
Journal	Soil Science
Volume	155
Issue number	1
Publication status	Published - 1993
Externally published	Yes

Cite this

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title = "Optimal solutions of the Bruce and Klute equation",

abstract = "A simple analytical expression is derived to describe soil water profiles satisfying the Bruce and Klute equation. Two parameters have to be determined from integral conditions. The simplicity and accuracy of the technique is checked when the soil-water diffusivity obeys an exponential or a power law function. For those two examples no numerical work is necessary as the results are expressed in terms of tabulated functions only. The method extends to the profile determination the optimal technique used earlier for the determination of the sorptivity, with the same precision.",

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AU - Parlange, M. B.

AU - Fuentes, Rafael Chacon

AU - Haverkamp, R.

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AU - Elrick, D.

AU - Price, M. J.

PY - 1993

Y1 - 1993

N2 - A simple analytical expression is derived to describe soil water profiles satisfying the Bruce and Klute equation. Two parameters have to be determined from integral conditions. The simplicity and accuracy of the technique is checked when the soil-water diffusivity obeys an exponential or a power law function. For those two examples no numerical work is necessary as the results are expressed in terms of tabulated functions only. The method extends to the profile determination the optimal technique used earlier for the determination of the sorptivity, with the same precision.

AB - A simple analytical expression is derived to describe soil water profiles satisfying the Bruce and Klute equation. Two parameters have to be determined from integral conditions. The simplicity and accuracy of the technique is checked when the soil-water diffusivity obeys an exponential or a power law function. For those two examples no numerical work is necessary as the results are expressed in terms of tabulated functions only. The method extends to the profile determination the optimal technique used earlier for the determination of the sorptivity, with the same precision.

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Optimal solutions of the Bruce and Klute equation

Abstract

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