AN IUH EQUATION BASED ON ENTROPY THEORY Academic Article

abstract

• The instantaneous unit hydrograph (IUH) is a commonly used method for computing surface runoff hydrographs from small watersheds. Assuming travel time as a random variable, a general equation for IUH is derived using the entropy theory. This equation specializes into several well-known equations, such as the gamma distribution, Lienhard distribution, and Nakagami-m distribution, to name but a few. The general equation has three parameters, two of which are based on specified information (or constraints) on travel time, and the third parameter is an exponent that can also be determined from the specified values of travel time. In this study, the derived equation is tested on two small agricultural experimental watersheds. Surface runoff hydrographs computed using the derived IUH equation are found to be in satisfactory agreement with observed surface runoff hydrographs. 2011 American Society of Agricultural and Biological Engineers.

authors

• Singh, Vijay

published proceedings

• TRANSACTIONS OF THE ASABE

author list (cited authors)

• Singh, V. P.

complete list of authors

• Singh, VP

publication date

• January 2011

publisher

• American Society of Agricultural and Biological Engineers  Publisher

published in

• Transactions of the ASABE  Journal

keywords

• Entropy
• Gamma Distribution
• Instantaneous Unit Hydrograph
• Lagrange Multipliers
• Principle Of Maximum Entropy
• Shannon Entropy

URI

• https://hdl.handle.net/1969.1/164644

start page

• 131

end page

• 140

volume

• 54

issue

• 1