Open AccessA deterministic non-linear model for rainfall-runoff relation
Author(s) -
Mriganshu Guha
Publication year - 1977
Publication title -
mausam
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.243
H-Index - 12
ISSN - 0252-9416
DOI - 10.54302/mausam.v28i2.2694
Subject(s) - hydrograph , laplace transform , mathematics , linear equation , relation (database) , laplace's equation , linear model , constant (computer programming) , surface runoff , simple (philosophy) , function (biology) , algebraic number , mathematical analysis , statistics , differential equation , computer science , ecology , database , evolutionary biology , biology , programming language , philosophy , epistemology
A non-linear model for the rainfall run-off relation is discussed by using the Laplace’s transform in the equation of continuity and storage. The equation of continuity has been converted into a nth order algebraic equation. A simple integration method has also been indicated for the constant input function. Some particular cases are also discussed as a verification of the result, and lastly the linear modern has been deduced as a special case from the non-linear model. The results are in close agreement with that of observed hydrograph.