Comparsion of Hybrid and Nash Models for Derivation of Instantaneous Unit Hydrograph (Case Study: Lighvan Watershed)

Document Type : Research Paper

Authors

Abstract

In the Nash model, the number of reservoirs and storage coefficient describe the complete shape of IUH. In this model, the number of reservoirs which should be an integer values is generally a fractional value when derived from the observed data, and that is a major limitation for the model. Furthermore, a single linear reservoir of the Nash model yields an IUH without a rising limb which is physically unrealistic. To simulate a complete IUH with rising limb, the Nash model requires a minimum of two reservoirs connected in series. Splitting the Nash single linear reservoir into two serially connected reservoirs of unequal storage coefficients K1 andK2 (one hybrid unit), a hybrid model is introduced for derivation of a synthetic unit hydrograph. In this study,the Lighvan watershed was considered for application of the hybrid model. To exhibit the applicability of  the hybrid model, the results, are compared with the Nash model results, using STDER and Nash-Satkolif output model values. The present approach yields STDER values lower and Nash-Satkolif output model values higher than those of the Nash method. Thus, the present approach performs better than the Nash method.
 

Keywords


Bhunya PK, GhoshNC, MishraSK, Ojha CSP and Berndtsson R, 2005. Hybrid model for derivation of synthetic unit hydrograph. J Hydrol Engin 10(6): 458–467.
 
Bhunya PK, MishraSK and Berndtsson R, 2003. Simplified two-parameter gamma distribution for derivation of synthetic unit hydrograph. J Hydrol Engin 8(4): 226–230.
 
Nash JE, 1957. The form of the instantaneous unit hydrograph. IASH Publisher 42: 114-118.
 
Nash JE, 1959. Synthetic determination of unit hydrograph parameters. J Geophys Res 64(1): 111–115.
 
Raymond I and Jeng PEM, 2003. True form of instantaneous unit hydrograph of linear reservoirs. J Irrigatian and Drainage Engin 129(1): 11-17
 
Reddy PJ, 1988. A Text Book of Hydrology. Printed by Deepak Printing Service. Delhi, India
 
Singh PK, 1964. Nonlinear instantaneous unit hydrograph theory. J Hydrol Engin 90(2): 313–350.
 
Singh PK, Bhunya PK, MishraSK and Chaube UC, 2007. An extended hybrid model for synthetic unit hydrograph derivation. J Hydrology 336: 347– 360.
 
SinghSK, 2000. Transmuting synthetic hydrographs into gamma distribution. J Hydrol Engin 5(4): 380–385.
 
Singh VP, 1988. Hydrologic Systems: Rainfall-runoff Modeling, Vol. 1, Prentice Hall, Englewood Cliffs, New Jersey.
 
Sushil K and SinghSK, 2007. Use of gamma distridution/Nash model further simplified for runoff modeling. J Hydrol Engin 12(2): 222–224.