Approximate Furrow Infiltration Model for Time-Variable Ponding Depth

Bautista, E.; Warrick, A. W.; Schlegel, James L.; Thorp, Kelly R.; Hunsaker, D. J.

doi:10.1061/(asce)ir.1943-4774.0001057

Cited by 17 publications

(17 citation statements)

References 25 publications

(22 reference statements)

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“…Moreover, the selected soils differed widely by their hydraulic properties, allowing exploration of a wide range of situations, including those where equilibration times of the ponding infiltration run are expected to be rather long (Reynolds, 2008). A two-dimensional axisymmetric vertical flow domain was adopted for all the simulations using the HYDRUS-2D/3D software package (Šimůnek et al, 2007), which is widely used for simulating water, heat, and/or solute movement in two or three dimensions (Shan and Wang, 2012;Chen et al, 2015;Bautista et al, 2016;Rezaei et al, 2016). The dimensions of the flow domain were 50 cm in the x direction and 100 cm in the z direction for all soils except the silt loam (SIL) and silty clay loam (SCL) soils.…”

Section: Soils and Numerical Simulationsmentioning

confidence: 99%

Accuracy of Saturated Soil Hydraulic Conductivity Estimated from Numerically Simulated Single‐Ring Infiltrations

Bagarello

Iovino

Lai

2019

Vadose Zone Journal

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Core Ideas The accuracy of the PI method in estimating soil Ks was tested by numerical simulations. Estimated Ks using two‐ponding‐depth and multiple‐ponding‐depth infiltration were compared. Transient and steady‐state infiltration data for six soils were used to estimate Ks. The PI should yield more accurate Ks estimates in coarse‐ than fine‐textured soils. The transient method does not solve the Ks inaccuracy problems in fine‐textured soils. The single‐ring pressure infiltrometer (PI) method is widely used to determine saturated soil hydraulic conductivity, Ks, directly in the field. The original and still most common way to analyze the data makes use of the steady‐state model developed by the Canadian School in the 90s and two (two‐ponding‐depth, TPD, approach) or more (multiple‐ponding‐depth, MPD, approach) depths of ponding. The so‐called Wu method based on a generalized infiltration equation allows analysis of the transient infiltration data collected by establishing a single ponding depth of water on the infiltration surface. This investigation, making use of simulated infiltration runs for initially unsaturated sand to silty clay loam soils, showed that, with a run duration of practical interest (e.g., 2 h), the PI can be expected to yield more accurate estimates of Ks in coarse‐textured soils than in fine‐textured soils even if the transient method is used instead of the steady‐state method. Performing a three‐level experiment and analyzing the estimated steady‐state infiltration rates with both the TPD and MPD approaches is a way to predict the reliability of the estimated Ks value. The Ks accuracy should be acceptable if the two approaches yield similar results. Otherwise, the MPD approach should be expected to yield more accurate Ks estimates than the TPD approach. The transient method does not solve the Ks inaccuracy problems in fine‐textured soils because obtaining accurate Ks data requires that the portion of total infiltration varying linearly with time represent a high percentage of total infiltration, but this percentage is small in fine‐textured soils when the run does not exceed a few hours. This investigation opens some new perspective on the use of infiltration data to make predictions on the expected reliability of the Ks calculations with reference to both steady‐state and transient data analysis procedures.

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Section: Soils and Numerical Simulationsmentioning

confidence: 99%

Accuracy of Saturated Soil Hydraulic Conductivity Estimated from Numerically Simulated Single‐Ring Infiltrations

Bagarello

Iovino

Lai

2019

Vadose Zone Journal

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“…Several models for pond infiltration have been presented in the literature (Ebrahimian et al, 2013;Bautista et al, 2016). However, these models describe irrigation and drainage longitudinally along a furrow (often using the zero-inertia model for a moving body of water).…”

Section: Introductionmentioning

confidence: 99%

“…Previous modelling of ridge and furrow system behaviour typically used software packages such as HYDRUS-2D, WinSRFR and so on (Ebrahimian et al, 2013;Sanchez et al, 2014;Bautista et al, 2016). Although they enable easy implementation of fluid flow models, we chose to use general finite element software (COMSOL Multiphysics ® , Stockholm, Sweden, www.comsol.com) because it allows us to generalize fluid flow and surface ponding.…”

Section: Introductionmentioning

confidence: 99%

Mathematical modelling of water and solute movement in ridge plant systems with dynamic ponding

Duncan

Daly

Sweeney

et al. 2017

European J Soil Science

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We present a mathematical model that describes the movement of water and solutes in a ridge and furrow geometry. We focus on the effects of two physical processes: root water uptake and pond formation in the furrows. Special attention is paid to the physical description of ponding as an effect of transient rain events. We focus on phenomena taking place in the furrow cross‐section, not on the drainage along the furrow. The resulting model comprises a coupled system of partial and ordinary differential equations that describe the mathematical interplay between solute transport, water movement and furrow pond depth. The system of equations is solved numerically using finite element techniques. We conducted numerical simulations to determine how mobile solutes with low buffer powers penetrate into the soil. We considered two cases: low rainfall, in which pond formation does not occur, and high rainfall, in which significant ponding is observed in the furrows. We found, in the presence of roots, that mobile solutes collected into a concentrated spot adjacent to the root system independent of rainfall intensity. In the absence of roots, however, we observed that water infiltration from ponding acted as the dominant transport mechanism for mobile solutes. This resulted in deep solute penetration into the soil when compared with non‐ponded furrows. Highlights Effect of furrow ponding and plant water uptake on solute movement in ridged fields. We developed a mathematical model that describes ponding in furrows from rainfall events. Solute ‘hot spots’ formed in soil from surface ponding and root water uptake. We estimate reduced risk to solute leaching under the effects of ponding when roots are present in soil.

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“…Second, if one only needs to know the cumulative infiltration amount rather than detailed water and solute distributions in soils, a simple infiltration model can be used instead of the sophisticated two-dimensional process model. For example, Bautista et al (2016) proposed an approximate furrow infiltration model by treating the two-dimensional infiltration as a sum of a one-dimensional infiltration and edge effects. This model could obtain comparably accurate estimations of cumulative infiltration as the numerical solution of the two-dimensional Richards equation.…”

Section: Impact Of the Time Resolutionmentioning

confidence: 99%

A coupled model for simulating water flow and solute transport in furrow irrigation

Liu

Xiong

et al. 2019

Agricultural Water Management

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A B S T R A C TFor optimal water and fertilizer management under furrow irrigation, it is important to understand the water and solute dynamics on the land surface and in the subsurface. An efficient mathematical tool is required to describe these dynamic processes. We propose a coupled model in which surface water flow and solute transport are described using the zero-inertia equation and the average cross-sectional convection-dispersion equation, respectively, while the two-dimensional Richards equation and the convection-dispersion equation are used to simulate water flow and solute transport in soils, respectively. Solutions are computed numerically using finite differences for surface water flow and finite volumes for solute transports in furrow. Subsurface water flow and solute transport equations are solved using the CHAIN_2D code. An iterative method is used to couple computations of surface and subsurface processes. Both surface and subsurface water flow and solute transport modules are coded in program subroutines and functions in the Intel FORTRAN environment. The coupled model was validated by comparing its simulation results with measured data. Results showed that simulated water front advances in the furrow and water contents in the soil agreed with the observations reasonably well. Good simulations can be achieved with a relatively fine temporal resolution. Numerical oscillations can be eliminated by adopting appropriate time steps. As compared with the traditional furrow irrigation model, the proposed model can better quantify soil water and solute dynamics by considering interactions between surface and subsurface water flow and solute transport processes. The proposed model can be used as a decision tool to design and manage furrow irrigation.

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Approximate Furrow Infiltration Model for Time-Variable Ponding Depth

Cited by 17 publications

References 25 publications

Accuracy of Saturated Soil Hydraulic Conductivity Estimated from Numerically Simulated Single‐Ring Infiltrations

Accuracy of Saturated Soil Hydraulic Conductivity Estimated from Numerically Simulated Single‐Ring Infiltrations

Mathematical modelling of water and solute movement in ridge plant systems with dynamic ponding

A coupled model for simulating water flow and solute transport in furrow irrigation

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