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 language | French |
|---|---|
| Pages (from-to) | 237-248 |
| Number of pages | 12 |
| Journal | Hydrological Sciences Journal |
| Volume | 58 |
| Issue number | 1 |
| DOIs |
|
| Publication status | Published - Jan 2013 |
Fingerprint
Keywords
- drainage-imbibition
- ecohydrology
- evapotranspiration
- infiltration
- root water uptake
- two-front Green-Ampt approximation
ASJC Scopus subject areas
- Water Science and Technology
Cite this
Masses d'eau du sol à double front et pseudo-hystérésis alimentant le continuum plante-racines : Retour sur le modèle de Green-Ampt-Youngs. / Kacimov, Anvar; Obnosov, Yurii.
In: Hydrological Sciences Journal, Vol. 58, No. 1, 01.2013, p. 237-248.Research output: Contribution to journal › Comment/debate
}
TY - JOUR
T1 - Masses d'eau du sol à double front et pseudo-hystérésis alimentant le continuum plante-racines
T2 - Retour sur le modèle de Green-Ampt-Youngs
AU - Kacimov, Anvar
AU - Obnosov, Yurii
PY - 2013/1
Y1 - 2013/1
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.
KW - drainage-imbibition
KW - ecohydrology
KW - evapotranspiration
KW - infiltration
KW - root water uptake
KW - two-front Green-Ampt approximation
UR - http://www.scopus.com/inward/record.url?scp=84873309567&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84873309567&partnerID=8YFLogxK
U2 - 10.1080/02626667.2012.743028
DO - 10.1080/02626667.2012.743028
M3 - Comment/debate
VL - 58
SP - 237
EP - 248
JO - Hydrological Sciences Journal
JF - Hydrological Sciences Journal
SN - 0262-6667
IS - 1
ER -