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Research Journal of Environmental Sciences
  Year: 2020 | Volume: 14 | Issue: 1 | Page No.: 30-41
DOI: 10.3923/rjes.2020.30.41
 
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New Explicit Form of Green and Ampt Model for Cumulative Infiltration Estimation

Tzimopoulos Christos , Papaevangelou George, Papadopoulos Kyriakos and Evangelides Chris

Abstract:
Background and Objective: The precise knowledge of the wet front during groundwater infiltration is necessary in order to estimate infiltration problems in irrigation, in natural or artificial recharge of aquifers as well as in water resources management. The model of Green and Ampt (GA) is a simplified natural form of the one-dimensional vertical infiltration problem and it is used systematically for the estimation of the water front in general. It is proved that the model of Green and Ampt is exact for a medium in which the moisture diffusivity is a Dirac function (delta-function medium). The purpose of this study was to present a new explicit approximate solution of the GA model, that can be used for small as well as for large values of time and cumulative infiltration. Materials and Methods: Because of the implicit form of the GA model, many approximate solutions have been developed, with various degrees of precision. In the present paper, a new explicit approximate solution of the GA model is presented, based on models of Philip and Valiantzas, which are improved by introducing new parameters and by using the conjugate gradient method. Results: The comparison of the new model with other approximate models, with the GA model, as well as with experimental data, shows that it confronts very well to practical problems of Hydraulics. Conclusion: The new model gives the possibility to be used not only in border irrigation problems but also in problems of artificial or natural recharge of aquifers and-more generally-water resources management in respect to other models.
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How to cite this article:

Tzimopoulos Christos, Papaevangelou George, Papadopoulos Kyriakos and Evangelides Chris, 2020. New Explicit Form of Green and Ampt Model for Cumulative Infiltration Estimation. Research Journal of Environmental Sciences, 14: 30-41.

DOI: 10.3923/rjes.2020.30.41

URL: https://scialert.net/abstract/?doi=rjes.2020.30.41

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