Masses d'eau du sol à double front et pseudo-hystérésis alimentant le continuum plante-racines: Retour sur le modèle de Green-Ampt-Youngs

Translated title of the contribution: Pseudo-hysteretic double-front hiatus-stage soil water parcels supplying a plant-root continuum: The Green-Ampt-Youngs model revisited

Anvar Kacimov, Yurii Obnosov

Research output: Contribution to journalComment/debate

7 Citations (Scopus)

Abstract

A tension-saturated water slug descends through a homogenous soil after a rainfall (irrigation) event and shrinks due to transpiration by a distributed root-sink and evaporation. The upper (drainage) and lower (imbibition) sharp fronts of the slug separate it from the superjacent and subjacent vadose zones, where water is immobile. In the slug, the hydraulic conductivity is constant according to the Green-Ampt model. The capillary pressures as well as effective porosities on the fronts are given (generally, different) constants that can be viewed as a kind of hysteresis. A volumetric sink models mild (no desaturation of the slug) soil water withdrawal by the plant roots. The sink intensity varies with the depth from the soil surface and with time. Mathematically, the hydraulic head is immediately expressed by double integration of a governing 1-D flow equation. The pressure and kinematic conditions on the fronts result in a Cauchy problem for a system of two ODEs, which is solved by computer algebra routines.

Original languageFrench
Pages (from-to)237-248
Number of pages12
JournalHydrological Sciences Journal
Volume58
Issue number1
DOIs
Publication statusPublished - Jan 2013

Fingerprint

slug
hiatus
soil water
imbibition
hydraulic head
capillary pressure
hysteresis
vadose zone
transpiration
hydraulic conductivity
soil surface
evaporation
kinematics
porosity
irrigation
drainage
water
rainfall
young
soil

Keywords

  • drainage-imbibition
  • ecohydrology
  • evapotranspiration
  • infiltration
  • root water uptake
  • two-front Green-Ampt approximation

ASJC Scopus subject areas

  • Water Science and Technology

Cite this

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title = "Masses d'eau du sol {\`a} double front et pseudo-hyst{\'e}r{\'e}sis alimentant le continuum plante-racines: Retour sur le mod{\`e}le de Green-Ampt-Youngs",
abstract = "A tension-saturated water slug descends through a homogenous soil after a rainfall (irrigation) event and shrinks due to transpiration by a distributed root-sink and evaporation. The upper (drainage) and lower (imbibition) sharp fronts of the slug separate it from the superjacent and subjacent vadose zones, where water is immobile. In the slug, the hydraulic conductivity is constant according to the Green-Ampt model. The capillary pressures as well as effective porosities on the fronts are given (generally, different) constants that can be viewed as a kind of hysteresis. A volumetric sink models mild (no desaturation of the slug) soil water withdrawal by the plant roots. The sink intensity varies with the depth from the soil surface and with time. Mathematically, the hydraulic head is immediately expressed by double integration of a governing 1-D flow equation. The pressure and kinematic conditions on the fronts result in a Cauchy problem for a system of two ODEs, which is solved by computer algebra routines.",
keywords = "drainage-imbibition, ecohydrology, evapotranspiration, infiltration, root water uptake, two-front Green-Ampt approximation",
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AU - Obnosov, Yurii

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N2 - A tension-saturated water slug descends through a homogenous soil after a rainfall (irrigation) event and shrinks due to transpiration by a distributed root-sink and evaporation. The upper (drainage) and lower (imbibition) sharp fronts of the slug separate it from the superjacent and subjacent vadose zones, where water is immobile. In the slug, the hydraulic conductivity is constant according to the Green-Ampt model. The capillary pressures as well as effective porosities on the fronts are given (generally, different) constants that can be viewed as a kind of hysteresis. A volumetric sink models mild (no desaturation of the slug) soil water withdrawal by the plant roots. The sink intensity varies with the depth from the soil surface and with time. Mathematically, the hydraulic head is immediately expressed by double integration of a governing 1-D flow equation. The pressure and kinematic conditions on the fronts result in a Cauchy problem for a system of two ODEs, which is solved by computer algebra routines.

AB - A tension-saturated water slug descends through a homogenous soil after a rainfall (irrigation) event and shrinks due to transpiration by a distributed root-sink and evaporation. The upper (drainage) and lower (imbibition) sharp fronts of the slug separate it from the superjacent and subjacent vadose zones, where water is immobile. In the slug, the hydraulic conductivity is constant according to the Green-Ampt model. The capillary pressures as well as effective porosities on the fronts are given (generally, different) constants that can be viewed as a kind of hysteresis. A volumetric sink models mild (no desaturation of the slug) soil water withdrawal by the plant roots. The sink intensity varies with the depth from the soil surface and with time. Mathematically, the hydraulic head is immediately expressed by double integration of a governing 1-D flow equation. The pressure and kinematic conditions on the fronts result in a Cauchy problem for a system of two ODEs, which is solved by computer algebra routines.

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KW - root water uptake

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