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A VOLUME BALANCE SOLUTION FOR WATER FLOW OVER FLAT SOIL SURFACES 1
Author(s) -
Guardo Mariano
Publication year - 1995
Publication title -
jawra journal of the american water resources association
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.957
H-Index - 105
eISSN - 1752-1688
pISSN - 1093-474X
DOI - 10.1111/j.1752-1688.1995.tb03424.x
Subject(s) - hydraulics , laplace transform , infiltration (hvac) , richards equation , mathematics , surface runoff , series (stratigraphy) , flow (mathematics) , water balance , water flow , hydrology (agriculture) , mathematical analysis , soil water , environmental science , geotechnical engineering , soil science , geometry , geology , thermodynamics , physics , ecology , paleontology , biology
This paper presents the development of a mathematical model to compute the advance of water flowing over flat soil surfaces. The solution is of interest to the design and management of irrigation systems, and the model can also be applied to overland flow problems. The hydraulics of water flow during the advance phase is simulated by the Lewis‐Milne integral equation. The general solution to this equation is obtained by using the Laplace transform theory. A particular solution was developed, based on series expansions, that uses the modified Kostiakov equation to predict infiltration. The solution is given by a double infinite series that has terms of alternate sign. Results from this model show satisfactory agreement when compared with field data collected by the author.