Автор |
Chiu, Chao‐Lin |
Автор |
Huang, J. T. |
Дата выпуска |
1970 |
dc.description |
The developed nonlinear time varying model of a hydrologic system that relates the rainfall and the runoff is represented by a pair of nonlinear ordinary differential equations with time varying coefficients. The model does not require the linearity and time invariance assumptions necessary in conventional unit hydrograph methods. The nonlinear and time varying characteristics of the system are incorporated into the model through four basic system parameters. These parameters can be determined by the procedure developed without using the equations of the model. The nonlinearity and long‐, medium‐, and short‐term time varying trends of a rainfall‐runoff system can be determined and described by analyzing the parameters. The model is empirical and its field application procedure is feasible and simple, since its derivation is based on the physical system response observed. In an illustrative field application the model and procedure proved effective, relative to other linear and/or time invariant models, in predicting the rainfall‐runoff relation, especially when the rainfall excess occurred during a very short time interval. |
Формат |
application.pdf |
Копирайт |
Copyright 1970 by the American Geophysical Union. |
Название |
Nonlinear Time Varying Model of Rainfall‐Runoff Relation |
Тип |
article |
DOI |
10.1029/WR006i005p01277 |
Electronic ISSN |
1944-7973 |
Print ISSN |
0043-1397 |
Журнал |
Water Resources Research |
Том |
6 |
Первая страница |
1277 |
Последняя страница |
1286 |
Выпуск |
5 |
Библиографическая ссылка |
Amorocho, J., The nonlinear prediction problem in the study of the runoff cycle, Water Resour. Res., 33, 861–880, 1967. |
Библиографическая ссылка |
Bellman, R. E., R. E.Kalaba, Quasilinearization and Nonlinear Boundary Value Problems, American Elsevier, New York, 1965. |
Библиографическая ссылка |
Chiu, Chao‐Lin, andRonald P.Bittler, Linear time‐varying model of rainfall‐runoff relation,Water Resour. Res.,5(2),426–437,April1969. |
Библиографическая ссылка |
Kurtz, K. S., Numerical Analysis, McGraw‐Hill, New York, 1957. |
Библиографическая ссылка |
Lee, Y. W., andM.Schetzen, Measurement of the Wiener kernels of a nonlinear system by cross correlation,Int. J. Contr.,2(3),237,September1965. |
Библиографическая ссылка |
Prasad, Ramanand, A nonlinear hydrologic system response model,J. Hydraul. Div., Amer. Soc. Civil Eng.,93(HY4),July1967. |
Библиографическая ссылка |
Zadeh, L. A., C. A.Desoer, Linear System Theory, McGraw‐Hill, New York, 1963. |