Application of the Green‐Ampt Model to infiltration under time‐dependent surface water depths

Freyberg, David L.; Reeder, John W.; Franzini, Joseph B.; Remson, Irwin

doi:10.1029/wr016i003p00517

Cited by 51 publications

(18 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Argyrokastritis et al (2009) showed that after ponding and the transformation of the boundary conditions from flux-controlled to flooding, there is a close coincidence of the moisture profiles for the case of sand mixture, retaining always the Green-Ampt mode of wetting front advancement. Freyberg et al (1980) investigated the performance of the Green-Ampt model for addressing the infiltration problem with time varying water depth. They suggested that the effective suction head must be considered as a function of surface water depth, initial moisture content and soil type.…”

Section: Green-ampt Model For Homogeneous Soilsmentioning

confidence: 99%

Green-Ampt Infiltration Models for Varied Field Conditions: A Revisit

Kale

Sahoo

2011

Water Resour Manage

View full text Add to dashboard Cite

The Green-Ampt (GA) infiltration model is a simplified version of the physically based full hydrodynamic model, known as the Richards equation. The simplicity and accuracy of this model facilitates for its use in many field problems, such as, infiltration computation in rainfall-runoff modelling, effluent transport in groundwater modelling studies, irrigation management studies including drainage systems etc. The numerous infiltration models based on the Green-Ampt approach have been widely investigated for their applicability in various scenarios of homogeneous soils. However, recent advances in physically based distributed rainfall-runoff modeling demands for the use of improved infiltration models for layered soils with non-uniform initial moisture conditions under varying rainfall patterns to capture the actual infiltration process that exists in nature. The difficulty that modelers are facing now-a-days includes the estimation of time of ponding and the application of the infiltration model to unsteady rainfall events occurring in heterogeneous soil conditions. The investigation in this direction exhibits that only few infiltration models can handle these situations. Hence, it is of vital importance to analyze the usefulness of different variants of the Green-Ampt infiltration models in terms of their degree of accuracy, complexity and applicability limits. This paper provides a brief review of these infiltration models to bring out their usefulness in the rainfall-runoff and irrigation modeling studies as well as the drawbacks associated with these models.

show abstract

Section: Green-ampt Model For Homogeneous Soilsmentioning

confidence: 99%

Green-Ampt Infiltration Models for Varied Field Conditions: A Revisit

Kale

Sahoo

2011

Water Resour Manage

View full text Add to dashboard Cite

show abstract

“…If, however, the wetting front reaches the water table, the steady state infiltration component will be influenced by the groundwater flow regime and lateral flow conditions. Equation (2) is valid assuming that sediments are homogeneous to the depth of the wetting front and that water temperature, water quality, discharge, and stage are constant [Freyberg et al, 1980]. For these conditions, equation (2) can be rewritten as…”

Section: Theorymentioning

confidence: 99%

Relative contributions of transient and steady state infiltration during ephemeral streamflow

Blasch

Ferré

Hoffmann

et al. 2006

Water Resources Research

View full text Add to dashboard Cite

[1] Simulations of infiltration during three ephemeral streamflow events in a coarsegrained alluvial channel overlying a less permeable basin-fill layer were conducted to determine the relative contribution of transient infiltration at the onset of streamflow to cumulative infiltration for the event. Water content, temperature, and piezometric measurements from 2.5-m vertical profiles within the alluvial sediments were used to constrain a variably saturated water flow and heat transport model. Simulated and measured transient infiltration rates at the onset of streamflow were about two to three orders of magnitude greater than steady state infiltration rates. The duration of simulated transient infiltration ranged from 1.8 to 20 hours, compared with steady state flow periods of 231 to 307 hours. Cumulative infiltration during the transient period represented 10 to 26% of the total cumulative infiltration, with an average contribution of approximately 18%. Cumulative infiltration error for the simulated streamflow events ranged from 9 to 25%. Cumulative infiltration error for typical streamflow events of about 8 hours in duration in is about 90%. This analysis indicates that when estimating total cumulative infiltration in coarse-grained ephemeral stream channels, consideration of the transient infiltration at the onset of streamflow will improve predictions of the total volume of infiltration that may become groundwater recharge.

show abstract

“…However, the Greenand-Ampt infiltration approach turns on an equation without analytical solution for disconnected streams, because in-channel ponding depth and gravitational terms are timedependent (Freyberg et al, 1980). To overcome this difficulty, Freyberg (1983) proposed a numerical solution (trapezoidal quadrature) of the Green-and-Ampt equation for a uniform alluvium.…”

mentioning

confidence: 99%

A channel transmission losses model for different dryland rivers

Costa

Bronstert

Araújo

2012

Hydrol. Earth Syst. Sci.

View full text Add to dashboard Cite

Abstract. Channel transmission losses in drylands take place normally in extensive alluvial channels or streambeds underlain by fractured rocks. They can play an important role in streamflow rates, groundwater recharge, freshwater supply and channel-associated ecosystems. We aim to develop a process-oriented, semi-distributed channel transmission losses model, using process formulations which are suitable for data-scarce dryland environments and applicable to both hydraulically disconnected losing streams and hydraulically connected losing(/gaining) streams. This approach should be able to cover a large variation in climate and hydro-geologic controls, which are typically found in dryland regions of the Earth. Our model was first evaluated for a losing/gaining, hydraulically connected 30 km reach of the Middle Jaguaribe River (MJR), Ceará, Brazil, which drains a catchment area of 20 000 km 2 . Secondly, we applied it to a small losing, hydraulically disconnected 1.5 km channel reach in the Walnut Gulch Experimental Watershed (WGEW), Arizona, USA. The model was able to predict reliably the streamflow volume and peak for both case studies without using any parameter calibration procedure. We have shown that the evaluation of the hypotheses on the dominant hydrological processes was fundamental for reducing structural model uncertainties and improving the streamflow prediction. For instance, in the case of the large river reach (MJR), it was shown that both lateral stream-aquifer water fluxes and groundwater flow in the underlying alluvium parallel to the river course are necessary to predict streamflow volume and channel transmission losses, the former process being more relevant than the latter. Regarding model uncertainty, it was shown that the approaches, which were applied for the unsaturated zone processes (highly nonlinear with elaborate numerical solutions), are much more sensitive to parameter variability than those approaches which were used for the saturated zone (mathematically simple water budgeting in aquifer columns, including backwater effects). In case of the MJR-application, we have seen that structural uncertainties due to the limited knowledge of the subsurface saturated system interactions (i.e. groundwater coupling with channel water; possible groundwater flow parallel to the river) were more relevant than those related to the subsurface parameter variability. In case of the WEGW application we have seen that the non-linearity involved in the unsaturated flow processes in disconnected dryland river systems (controlled by the unsaturated zone) generally contain far more model uncertainties than do connected systems controlled by the saturated flow. Therefore, the degree of aridity of a dryland river may be an indicator of potential model uncertainty and subsequent attainable predictability of the system.

show abstract

Application of the Green‐Ampt Model to infiltration under time‐dependent surface water depths

Cited by 51 publications

References 25 publications

Green-Ampt Infiltration Models for Varied Field Conditions: A Revisit

Green-Ampt Infiltration Models for Varied Field Conditions: A Revisit

Relative contributions of transient and steady state infiltration during ephemeral streamflow

A channel transmission losses model for different dryland rivers

Contact Info

Product

Resources

About