Modified Form of the Extended Kostiakov Equation Including Various Initial and Boundary Conditions
Publication: Journal of Irrigation and Drainage Engineering
Volume 135, Issue 4
Abstract
The extended Kostiakov equation is intensively used in surface irrigation applications. Traditionally, the extended Kostiakov infiltration formula is calibrated for specific field conditions. However, there is a dependence of the extended Kostiakov coefficients on both initial and boundary conditions. In this paper, a new simplified methodology is developed to account extended Kostiakov variation for these effects. The purely empirical extended Kostiakov equation is transformed to a form of a modified version of the classical Philip two-term equation. This modification relates a physical parameter, the soil sorptivity , with the purely empirical coefficient of the extended Kostiakov formula. Then, the variation of the sorptivity for various water levels and initial water contents is given theoretically by a simple algebraic equation. The proposed correction was compared with numerical infiltration data with varying initial (water content) and boundary conditions (ponding depth) for two contrasting soils. Results indicate that the corrected infiltration curves converge well with the simulated ones.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 135 • Issue 4 • August 2009
Pages: 450 - 458
Copyright
© 2009 ASCE.
History
Received: Mar 24, 2008
Accepted: Dec 16, 2008
Published online: Jan 22, 2009
Published in print: Aug 2009
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