Falling head ponded infiltration in the nonlinear limit

D. Triadis

Research output: Contribution to journalArticlepeer-review


The Green and Ampt infiltration solution represents only an extreme example of behavior within a larger class of very nonlinear, delta function diffusivity soils. The mathematical analysis of these soils is greatly simplified by the existence of a sharp wetting front below the soil surface. Solutions for more realistic delta function soil models have recently been presented for infiltration under surface saturation without ponding. After general formulation of the problem, solutions for a full suite of delta function soils are derived for ponded surface water depleted by infiltration. Exact expressions for the cumulative infiltration as a function of time, or the drainage time as a function of the initial ponded depth may take implicit or parametric forms, and are supplemented by simple asymptotic expressions valid for small times, and small and large initial ponded depths. As with surface saturation without ponding, the Green-Ampt model overestimates the effect of the soil hydraulic conductivity. At the opposing extreme, a low-conductivity model is identified that also takes a very simple mathematical form and appears to be more accurate than the Green-Ampt model for larger ponded depths. Between these two, the nonlinear limit of Gardner's soil is recommended as a physically valid first approximation. Relative discrepancies between different soil models are observed to reach a maximum for intermediate values of the dimensionless initial ponded depth, and in general are smaller than for surface saturation without ponding.

Original languageEnglish
Pages (from-to)9555-9569
Number of pages15
JournalWater Resources Research
Issue number12
Publication statusPublished - Dec 23 2014
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Water Science and Technology


Dive into the research topics of 'Falling head ponded infiltration in the nonlinear limit'. Together they form a unique fingerprint.

Cite this