Estimation of runoff in ungauged catchments using the Nash non-dimensional unit hydrograph (Case study: Ajay and Kasilian catchments)

Document Type : Research Paper

Authors

1 عضو هیئت علمی گروه مهندسی عمران دانشگاه آزاد اسلامی واحد استهبان، استهبان، ایران

2 دانشیار گروه مهندسی عمران دانشگاه آزاد اسلامی واحد استهبان، استهبان، ایران

3 استادیار، گروه کشاورزی، دانشگاه پیام نور، ایران

Abstract

Prediction of runoff is very important in ungauged catchments to design hydraulic structures. Estimation of the parameters of the rainfall-runoff in many cases is not simple. Therefore, hydrologists usually attempt to develop and apply simple and even accurate enough methods to model runoff in such catchment. In this study, the Nash storage coefficient (k) was defined as a function of time of concentration by combining the Nash and Clark models and assuming the number of reservoir be 5. A non-dimensional equation to obtain synthetic unit hydrograph of catchments was presented based on the Nash instantaneous unit hydrograph. In the new equation flow discharge is a function of time and time of concentration. The model was used to simulate runoff in Kasilain catchment, North of Iran, and Ajay, India. The results showed that the efficiency coefficient for three of four events is higher than 0.82 for Kasilian and for four events varied from 0.78 to 0.89 for Ajay catchment. The error value for peak flow prediction was from 5.3 to 9.7 for the Kasilian catchment. The mean of error value for four events was 7.8 for Ajay. Generally, the accuracy of the prediction of the new model was shown to be satisfactory in the two catchments.

Keywords


1) Ahmad, M.M., Ghumman, A.R., Ahmad, S.
2010. Estimation of a unique pair of Nash model
parameters: an optimization approach. Water
resources management. 24(12): 2971-2989.
2) Aslani, M., Fazl-Avali, R. and Ahmadi-
Zadeh, M. 2015. Determination of the parameters
of the conceptual model of Nash by the use of
automatic calibration in the Kasselian Basin.
Watershed Management Research. 6 (12): 21-28
(In Persian).
3) Bárdossy, A. 2007. Calibration of
hydrological model parameters for ungauged
catchments. Hydrology and Earth System Sciences
Discussions. 11(2): 703-710.
4) Choi, Y.J., Lee, G., Kim, J. 2011. Estimation
of the Nash model parameter based on concept of
geomorphologic dispersion. J. Hydrol. Eng.
16(10):806–817.
5) Clark, C. O. 1945. Storage and unit
hydrograph. Trans. ASCE, 110: 1419–1446.
6) Dooge, J. C. I. 1959. A general theory of the
unit hydrograph. J. Geophys. Res. 64(2): 241–256.
7) Hann, C.T., Barfield, B.J. and Hayes, J.C.
1994. Design hydrology and sedimentology for
small catchments. Academic Press. San Diego.
588.
8) Kumar, A., Kumar, D. 2008. Predicting direct
runoff from hilly watershed using geomorphology
and stream-order law ratios: case study. J. Hydrol.
Eng. 13(7):570–576.
9) Kumar, R., Chatterjee, C., Singh, R.D.,
Lohani, A.K., Kumar, S. 2007. Runoff estimation
for an ungauged catchment using geomorphologic
instantaneous unit hydrograph (GIUH) models.
Hydrol. Process. 21(14):1829–1840.
10) Kumar, R., Chatterjee, C., Singh, R.D.,
Lohani, A.K., Kumar, S. 2004. GIUH based Clark
and Nash models for runoff estimation for an
ungauged basin and their uncertainty analysis. Int.
J. River Basin Manag. 2(4):281–190.
11) Lee, K.T., Chang, C.H. 2005. Incorporating
subsurface-flow mechanism into geomorphologybased
IUH modeling, J. Hydrol. 311:91–105.
12) Lee, K.T., Yen, B.C. 1997. Geomorphology
and kinematic-wave based hydrograph derivation.
J. Hydrol. Eng. ASCE. 123(1):73–80.
13) Mousavi-Hosseini, M., Zahrayi, B. and
Hourfar, A. 2006. Estimation of Parameters of
Conceptual Model of Nash by Using Genetic
Algorithm and Normal Least Squares. Iranian
Water Resources Research. 2(2): 10-12 (In
Persian).
14) Nash, J.E. 1957. The form of the
instantaneous unit hydrograph. International
Association of Scientific Hydrology Publication.
45(3):114–121.
15) Nash, J.E. 1959. Systematic determination of
unit hydrograph parameters. Journal of
Geophysical Research. 64:111-115.
16) Nash, J.E. 1960. A unit hydrograph study
with particular reference to British catchments. P.
I. Civil Eng. 17:249–282.
17) Rodriguez-Iturbe, I., Valdes, J.B. 1979. The
geomorphologic structure of hydrologic response.
Water Resour. Res. 20(7):914–920.
18) Sabzevari, T. 2010. Development of
catchments geomorphological instantaneous unit
hydrograph based on surface and subsurface flow
response of complex hillslopes. PhD. Thesis.
Islamic Azad University. Tehran. Iran.
10 تخمین رواناب حوضه های آبخیز بدون آمار با استفاده از روش آب نگار واحد مصنوعی بدون بعد ناش
19) Sabzevari, T., Fattahi, M.H.,
Mohammadpour, R., Noroozpour, Sh. 2013.
Prediction of surface and subsurface flow in
catchments using the GIUH, under publication.
Journal of Flood Risk Management. 6(2):135–145.
20) Sabzevari, T., Noroozpour, Sh. and Jamishi,
M. 2014. Calculation of time-area diagrams of
watersheds using Nash unit's hydrograph. Water
Resources Engineering. 22: 37-50 (In Persian).
21) Salari-Jazi, M., Adib, A., Mahmoudian-
Shoushtari, M. and Akhond-Ali, A.M. 2009.
Analysis of GIUH-NASH and GCIUH-CLARK
models in Kasselian Basin. Eight th International
Congress on Civil Engineering. Shiraz (In
Persian).
22) Singh, S.K. 2000. Transmuting synthetic unit
hydrograph into gamma distribution. Journal of
Hydrologic Engineering. 5(4):380-385