Time to ponding: Comparison of analytic, quasi‐analytic, and approximate predictions

Broadbridge, Philip; White, Ian

doi:10.1029/wr023i012p02302

Cited by 57 publications

(30 citation statements)

References 34 publications

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“…This can be observed by the change in the exponential curve that occurs when the infiltration approaches the final rates (see arrows on figure 4). The lower slope of the exponential curve approaching the KSAT of the lower layer is confirmed by the theory (Broadbridge and White, 1987;Broadbridge et al, 1988, White et al, 1989. In their study, Broadbridge et al (1988), illustrated the theoretical differences in the baseItal.…”

Section: Infiltration and Time-to-pondingsupporting

confidence: 50%

Simulation of Tillage Systems Impact on Soil Biophysical Properties Using the SALUS Model

Basso¹,

Ritchie²,

Grace³

et al. 2006

Ital J Agronomy

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A sustainable land management has been defined as the management system that allows for production, while minimizing risk, maintaining quality of soil and water. Tillage systems can significantly decrease soil carbon storage and influence the soil environment of a crop. Crop growth models can be useful tools in evaluating the impact of different tillage systems on soil biophysical properties and on the growth and final yield of the crops. The objectives of this paper were i) to illustrate the SALUS model and its tillage component; ii) to evaluate the effects of different tillage systems on water infiltration and time to ponding, iii) to simulate the effect of tillage systems on some soil biophysical properties. The SALUS (System Approach to Land Use Sustainability) model is designed to simulate continuous crop, soil, water and nutrient conditions under different tillage and crop residues management strategies for multiple years. Predictions of changes in surface residue, bulk density, runoff, drainage and evaporation were consistent with expected behaviours of these parameters as described in the literature. The experiment to estimate the time to ponding curve under different tillage system confirmed the theory and showed the beneficial effects of the residue on soil surface with respect to water infiltration. It also showed that the no-tillage system is a more appropriate system to adopt in areas characterized by high intensity rainfall.

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Section: Infiltration and Time-to-pondingsupporting

confidence: 50%

Simulation of Tillage Systems Impact on Soil Biophysical Properties Using the SALUS Model

Basso¹,

Ritchie²,

Grace³

et al. 2006

Ital J Agronomy

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“…Beginning in the mid 1980s, several applications were found [18][19][20][21][22][23][24] for the integrable nonlinear convectiondiffusion equation originating from [25], with…”

Section: Introductionmentioning

confidence: 99%

Infiltration from supply at constant water content: an integrable model

2009

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An integrable version of Richards' equation for time-dependent unidimensional flow in unsaturated soil is subjected to boundary conditions of constant water content. The nonlinear boundary problem is transformed to a linear diffusion problem with modified Stefan boundary conditions. A formal series is developed, leading to successive approximations to the solution at early times. Each additional term of the series for the location of the free boundary in the transformed problem leads directly to another coefficient in the Philip infiltration series in the original problem.

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“…Broadbridge and White [1987] developed an expression similar to equation (2) for t p for the case of rainfall events characterized by a linear increase in r with t. Insight on the physics leading to these expressions can be found in the literature on infiltration [e.g., Clothier, 2001;Warrick, 2002;Smith et al, 2002;Hillel, 2004;Brutsaert, 2005;Hopmans et al, 2006].…”

Section: Introductionmentioning

confidence: 99%

A simple accurate method to predict time of ponding under variable intensity rainfall

Assouline

Selker

Parlange

2007

Water Resources Research

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[1] The prediction of the time to ponding following commencement of rainfall is fundamental to hydrologic prediction of flood, erosion, and infiltration. Most of the studies to date have focused on prediction of ponding resulting from simple rainfall patterns. This approach was suitable to rainfall reported as average values over intervals of up to a day but does not take advantage of knowledge of the complex patterns of actual rainfall now commonly recorded electronically. A straightforward approach to include the instantaneous rainfall record in the prediction of ponding time and excess rainfall using only the infiltration capacity curve is presented. This method is tested against a numerical solution of the Richards equation on the basis of an actual rainfall record. The predicted time to ponding showed mean error 7% for a broad range of soils, with and without surface sealing. In contrast, the standard predictions had average errors of 87%, and worst-case errors exceeding a factor of 10. In addition to errors intrinsic in the modeling framework itself, errors that arise from averaging actual rainfall records over reporting intervals were evaluated. Averaging actual rainfall records observed in Israel over periods of as little as 5 min significantly reduced predicted runoff (75% for the sealed sandy loam and 46% for the silty clay loam), while hourly averaging gave complete lack of prediction of ponding in some of the cases.

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Time to ponding: Comparison of analytic, quasi‐analytic, and approximate predictions

Cited by 57 publications

References 34 publications

Simulation of Tillage Systems Impact on Soil Biophysical Properties Using the SALUS Model

Simulation of Tillage Systems Impact on Soil Biophysical Properties Using the SALUS Model

Infiltration from supply at constant water content: an integrable model

A simple accurate method to predict time of ponding under variable intensity rainfall

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