Abstract
The estimation of design flood is mainly focused on the peak flow and the volume, ignoring the underlying surface factor and flood rising and falling process. Three basic conceptual hydrological models, XAJ, TANK and SCS, are selected and applied for design flood estimation in two small-scale basins of northern China. Model parameter calibration is based on both the optimization algorithm SCE-UA and artificial adjusting, by using a combined objecting function of flood peak, volume and process. Each model singles out a set of optimal parameters as input to simulate the design flood process. The simulation results are compared with original engineering design standards and instantaneous unit hydrograph method. The results show that the XAJ model has the best performance in simulating the 100-year design flood in study basins. The SCS model also gives acceptable results, but the TANK model on the other hand in an underestimated flood peak with a prolonged recession period, which is not likely to be applicable. This study is to test the applicability of the conceptual hydrological models in simulating the design flood process in small-scale watersheds and should be a supplement to the traditional methods and further deliberation to a ungauged basin. Starting from the most basic models with simple structures, it is hoped that the methodology can be transferred to more complicated and physically based models with more realistic description of the rainfall-runoff transformation mechanism and dynamic mechanism for climate change.
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References
Ajmal M, Moon GW, Ahn JH, Kim TW (2015) Investigation of SCS-CN and its inspired modified models for runoff estimation in South Korean watersheds. J Hydro-Environ Res 9(4):592–603. https://doi.org/10.1016/j.jher.2014.11.003
Aziz K, Rai S, Rahman A (2015) Design flood estimation in ungauged catchments using genetic algorithm-based artificial neural network (GAANN) technique for Australia. Nat Hazards 77(2):805–821. https://doi.org/10.1007/s11069-015-1625-x
Basri H (2013) Development of Rainfall-runoff Model Using Tank Model: Problems and Challenges in Province of Aceh, Indonesia. ACEH Int J Sci Technol. https://doi.org/10.13170/aijst.3.3.1998
Brandimarte L, Di Baldassarre G (2012) Uncertainty in design flood profiles derived by hydraulic modelling. Hydrol Res 43(6):753. https://doi.org/10.2166/nh.2011.086
Chen RS, Yang KH (2010) Terraced paddy field rainfall-runoff mechanism and simulation using a revised tank model. Paddy Water Environ 9(2):237–247. https://doi.org/10.1007/s10333-010-0225-3
Chetty K, Smithers J (2005) Continuous simulation modelling for design flood estimation in South Africa: preliminary investigations in the Thukela catchment. Phys Chem Earth 30(11–16):634–638. https://doi.org/10.1016/j.pce.2005.08.002
Di Baldassarre G, Laio F, Montanari A (2009) Design flood estimation using model selection criteria. Phys Chem Earth 34(10–12):606–611. https://doi.org/10.1016/j.pce.2008.10.066
Duan Q, Sorooshian S, Gupta VK (1994) Optimal use of the SCE-UA global optimization method for calibrating watershed models. J Hydrol 158(3–4):265–284. https://doi.org/10.1016/0022-1694(94)90057-4
Franchini M, Helmlinger KR, Foufoula-Georgiou E, Todini E (1996) Stochastic storm transposition coupled with rainfall-runoff modeling for estimation of exceedance probabilities of design flood. J Hydrol 175(1–4):511–532. https://doi.org/10.1016/s0022-1694(96)80022-9
Guo SL, Muhammad R, Liu ZJ, Xiong F, Yin JB (2018) Design flood estimation methods for cascade reservoirs based on copulas. Water-Sui. https://doi.org/10.3390/w10050560
Titmarsh GW, Cordery I, Pilgrim DH (1995) Calibration procedures for rational and USSCS design flood methods. J Hydraul Eng. https://doi.org/10.1061/(asce)0733-9429(1995)121:1(61)
Hromadka TV, Whitley RJ (1988) The design storm concept in flood control design and planning. Stoch Hydrol Hydraul 2(3):213–239. https://doi.org/10.1007/bf01550843
Hu Y, Liang Z, Xi C, Liu Y, Li B (2017) Estimation of design flood using EWT and ENE metrics and uncertainty analysis under non-stationary conditions. Stoch Env Res Risk Assess 24:1–10. https://doi.org/10.1007/s00477-017-1404-1
Hu C, Guo S, Xiong L, Peng D (2005) A modified Xinanjiang model and its application in Northern China. Hydrol Res 36(2):175–192. https://doi.org/10.2166/nh.2005.0013
Huang P, Li Z, Chen J, Li Q, Yao C (2016) Event-based hydrological modeling for detecting dominant hydrological process and suitable model strategy for semi-arid catchments. J Hydrol 542:292–303. https://doi.org/10.1016/j.jhydrol.2016.09.001
Kang MS, Goo JH, Song I, Chun JA, Her YG, Hwang SW, Park SW (2013) Estimating design flood based on the critical storm duration for small watersheds. J Hydro-Environ Res 7(3):209–218. https://doi.org/10.1016/j.jher.2013.01.003
Kang T, Lee S (2014) Modification of the SCE-UA to include constraints by embedding an adaptive penalty function and application: application approach. Water Resour Manag 28(8):2145–2159. https://doi.org/10.1007/s11269-014-0602-6
Kjeldsen TR, Miller JD, Packman JC (2013) Modelling design flood hydrographs in catchments with mixed urban and rural land cover. Hydrol Res 44(6):1040. https://doi.org/10.2166/nh.2013.158
Kumar Mishra S, Gajbhiye S, Pandey A (2013) Estimation of design runoff curve numbers for Narmada watersheds (India). Jawer 1(1):69–79. https://doi.org/10.1080/23249676.2013.831583
Liu X, Li J (2008) Application of SCS model in estimation of runoff from small watershed in Loess Plateau of China. Chinese Geogr Sci 18(3):235–241. https://doi.org/10.1007/s11769-008-0235-x
Loveridge M, Rahman A, Hill P (2017) Applicability of a physically based soil water model (SWMOD) in design flood estimation in eastern Australia. Hydrol Res 48(6):1652–1665. https://doi.org/10.2166/nh.2016.118
Mediero L, Jiménez-Álvarez A, Garrote L (2010) Design flood hydrographs from the relationship between flood peak and volume. Hydrol Earth Syst Sci 14(12):2495–2505. https://doi.org/10.5194/hess-14-2495-2010
Nasri S, Cudennec C, Albergel J, Berndtsson R (2004) Use of a geomorphological transfer function to model design flood in small hillside catchments in semiarid Tunisia. J Hydrol 287(1–4):197–213. https://doi.org/10.1016/j.jhydrol.2003.10.001
National Center of Hydrological Information (2000) Standard for hydrological information and hydrological forecasting. China WaterPower Press, Beijing
Pechlivanidis IG, Jackson BM, Mcintyre NR, Wheater HS (2011) Catchment scale hydrological modelling: a review of model types, calibration approaches and uncertainty analysis methods in the context of recent developments in technology and applications. Global Nest J 13(3):193–214. https://doi.org/10.30955/gnj.000778
Pui A, Lal A, Sharma A (2011) How does the Interdecadal Pacific Oscillation affect design flood in Australia? Water Resour Res. https://doi.org/10.1029/2010wr009420
Rogger M, Kohl B, Pirkl H, Viglione A, Komma J, Kirnbauer R, Merz R, Bloschl G (2012) Runoff models and flood frequency statistics for design flood estimation in Austria: do they tell a consistent story? J Hydrol 456:30–43. https://doi.org/10.1016/j.jhydrol.2012.05.068
Shi ZH, Chen LD, Fang NF, Qin DF, Cai CF (2009) Research on the SCS-CN initial abstraction ratio using rainfall-runoff event analysis in the Three Gorges Area. China Catena 77(1):1–7. https://doi.org/10.1016/j.catena.2008.11.006
Smithers J, Schulze R, Kienzle S (1997) Design flood estimation using a modelling approach: a case study using the ACRU model. Sustain Water Resour Under Increasing Uncertainty 240:365–375. https://doi.org/10.4314/wsa.v39i4.4
Soulis KX, Valiantzas JD (2012) SCS-CN parameter determination using rainfall-runoff data in heterogeneous watersheds – the two-CN system approach. Hydrol Earth Syst Sci 16(3):1001–1015. https://doi.org/10.5194/hess-16-1001-2012
Wong TSW, Li Y (2015) Theoretical assessment of changes in design flood peak of an overland plane for two opposing urbanization sequences. Hydrol Process 13(11):1629–1647. https://doi.org/10.1002/(sici)1099-1085(19990815)13:11%3c1629:aid-hyp833%3e3.0.co;2-s
Wu SJ, Yang JC, Tung YK (2011) Risk analysis for flood-control structure under consideration of uncertainties in design flood. Nat Hazards 58(1):117–140. https://doi.org/10.1007/s11069-010-9653-z
Xiao B, Wang QH, Fan J, Han FP, Dai QH (2011) Application of the SCS-CN model to runoff estimation in a small watershed with high spatial heterogeneity. Pedosphere 21(6):738–749. https://doi.org/10.1016/s1002-0160(11)60177-x
Zeng Q, Chen H, Xu CY, Jie MX, Hou YK (2015) Feasibility and uncertainty of using conceptual rainfall-runoff models in design flood estimation. Hydrol Res 47(4):701–717. https://doi.org/10.2166/nh.2015.069
Zhao RJ (1992) The Xinanjiang model applied in China. J Hydrol 135(1–4):371–381. https://doi.org/10.1016/0022-1694(92)90096-e
Acknowledgements
This study was supported by the National Natural Science Foundation of China (51822906), the National Key Research and Development Project (2017YFC1502405), the Major Science and Technology Program for Water Pollution Control and Treatment (2018ZX07110001), and the IWHR Research & Development Support Program (WR0145B732017).
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Wang, W., Liu, J., Li, C. et al. Assessing the applicability of conceptual hydrological models for design flood estimation in small-scale watersheds of northern China. Nat Hazards 102, 1135–1153 (2020). https://doi.org/10.1007/s11069-020-03949-2
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DOI: https://doi.org/10.1007/s11069-020-03949-2