Discussion of “Application of a Nonstandard Explicit Integration to Solve Green and Ampt Infiltration Equation” by D. R. Mailapalli, W. W. Wallender, R. Singh, and N. S. Raghuwanshi

Barry, David Andrew; Parlange, Jean‐Yves; Bakhtyar, Roham

doi:10.1061/(asce)he.1943-5584.0000164

Cited by 2 publications

(2 citation statements)

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“…In the aftermath of the papers by Philip [1992a, 1992b, 1993] three comments debating delta‐function soils were published with replies from John Philip [ Barry et al , 1994, 1995, 1996; Philip , 1994, 1995, 1996]. From Philip [1995]: “The topic of ‘delta‐function’ soils and their relation to the Green–Ampt model seems to remain in confusion.” More recently, Barry et al [2010] have pointed out that setting a soil's “effective conductivity” to be half the saturated hydraulic conductivity within a Green–Ampt infiltration analysis [ Mailapalli et al , 2009; Rawls et al , 1993] has the effect of halving the value of S 1 .…”

Section: Introductionmentioning

confidence: 99%

The Green–Ampt limit with reference to infiltration coefficients

Triadis

Broadbridge

2012

Water Resources Research

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[1] Recent progress with an analytic nonlinear model has provided the exact infiltration coefficients for realistic soil behaviors with nonsingular hydraulic functions, as well as their exact delta-function diffusivity limits. After some correction and reinterpretation of the approximate analytical method, the exactly solvable model validates some previously obtained approximate infiltration functions. The Green-Ampt infiltration function follows from a delta-function diffusivity limit with a hydraulic conductivity that may be, among other possibilities, a linear function of water content. Just as a linear conductivity function is an overestimate for a realistic soil, the second Philip infiltration coefficient S 1 in the Green-Ampt infiltration function is too large due to conductivity being overestimated. Better agreement with experiment (halving the value of S 1 ) is obtained from the analytic nonlinear model, with a limiting delta-function diffusivity and a matching Gardner exponential hydraulic conductivity function. In general, infiltration behavior is determined by the limiting forms of the diffusivity and conductivity relative to one another at the saturated water content, or alternatively, the relationship between the conductivity and soil moisture potential. A new infiltration model demonstrates the possible range of S 1 for physically valid limiting conductivity functions. We show that in the delta-function diffusivity limit, the solution behaves as if the potential at the wet front were time dependent, decreasing in magnitude from an initial value at the traditional Green-Ampt level.Citation: Triadis, D., and P. Broadbridge (2012), The Green-Ampt limit with reference to infiltration coefficients, Water Resour. Res., 48, W07515,

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Section: Introductionmentioning

confidence: 99%

The Green–Ampt limit with reference to infiltration coefficients

Triadis

Broadbridge

2012

Water Resources Research

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“…However such a snall splitting can affect the flavor ratio of the extra galactic neutrinos since the Dirac mass eigenstates can flip on their way to Earth to a sterile neutrino and become invisible at the detectors. This point is under investigation [29].…”

Section: Schizophrenic Neutrinos: a New Possibilitymentioning

confidence: 98%

Neutrino Mass Model in the LHC Era

Mohapatra

2011

Nuclear Physics B - Proceedings Supplements

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Discussion of “Application of a Nonstandard Explicit Integration to Solve Green and Ampt Infiltration Equation” by D. R. Mailapalli, W. W. Wallender, R. Singh, and N. S. Raghuwanshi

Cited by 2 publications

References 22 publications

The Green–Ampt limit with reference to infiltration coefficients

The Green–Ampt limit with reference to infiltration coefficients

Neutrino Mass Model in the LHC Era

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