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Revista de Ciências Agrárias

Print version ISSN 0871-018X

Rev. de Ciências Agrárias vol.31 no.1 Lisboa Jan. 2008

 

Equação de green-ampt para a infiltração da água no solo aproximações numéricas para explicitação do volume infiltrado

Green-ampt equation for water infiltration into soil numerical approximations to the explicit formulation for the accumulated water

Francisco Mercês de Mello1

 

RESUMO

O modelo de infiltração de Green-Ampt (1911), muito utilizado ainda hoje em Hidrologia, não permite explicitar de forma exacta o volume acumulado por infiltração em função do tempo. É neste contexto que se insere o presente estudo ,no qual são propostas duas soluções aproximadas. A primeira equação é original e a segunda resulta de modificações introduzidas numa das equações de Li et al. (1976). Analisaram-se os erros relativos provenientes da aplicação destas equações e apresenta-se um exemplo para melhor concretizar a aplicação destas aproximações numéricas.

Palavras-chave: infiltração, optimização numérica.

 

ABSTRACT

The Green-Ampt infiltration model (1911), still used in Hydrology nowadays, does not allows to have an exact explicitation of the accumulated infiltration water versus time. The present work tries to solve this problem by presenting two solutions. The first equation is original and the second is the result of some improvements made in one of Li et al equations (1976).The relative errors proceeding from these equation were discussed and one example is presented in order to concretize these numerical applications.

Key-words: infiltration, numerical optimization.

 

Texto completo disponível apenas em PDF.

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REFERÊNCIAS BIBLIOGRÁFICAS

Ahuja, L.R. (1974) - Applicability of the Green-Ampt approach to water infiltration through surface crust. Soil Science 18 (5):283-288.         [ Links ]

Bower, H. (1969) - Infiltration of Water into Nonuniform Soil. J. Irrigation and Drainage Division. Am. Soc. Civ. Engrs 95(IR4):451-462.

Bower, H. (1976) - Infiltration into Increasingly Permeable Soils. J. Irrigation and Drainage Division. Am.Soc.Civ.Engrs 102(IR1):127-136.

Childs, E.C.; Bybordi, M.(1969) - The Vertical Movement of Water in Stratified Porous Material. 1.Infiltration. Water Resources Research 5(2): 446-459.

Chong, S.K.(1979) -Infiltration prediction based on in-situ measurements of soil water properties. Ph. D. Dissertation, University of Hawaii.

Chu, S.T.(1978)-Infiltration During an Unsteady Rain. Water Resources Research 14. (3):461-466.

Green,W.H.; Ampt, G. A.(1911) - Studies on soil physics-Part I-The flow of air and water through soils. J of Agric. Sci IV, May:1-24.

Hillel, D.; Gardner, W. R.(1970) - Transient infiltration into crust topped profiles. Soil Science 109:410-416.

Li, R.Stevens, M.; Simons, D. (1976) - Solutions to Green-Ampt Infiltration Equation. J.Irrigation and Drainage Division. Am.Soc.Civ.Engrs 102 (IR2):239-248.

Morel-Seyroux, H. J.; Khanji, J.(1974) - Derivation of an Equation of Infiltration. Water Resources Research 10(4):795-800.

Nelder, J.; Mead, R.(1964) - A Simplex Method for Function Minimization. The Computer Journal 7 : 308-315.

 

1 Professor Associado. Doutor em Engenharia Agrícola

 

Recepção/Reception: 2004.04.20

Aceitação/Acception: 2007.03.20

 

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