Flow Duration Curves and Recession Curves Connection through a Mathematical Link
Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 32870
Flow Duration Curves and Recession Curves Connection through a Mathematical Link

Authors: Elena Carcano, Mirzi Betasolo

Abstract:

This study helps Public Water Bureaus in giving reliable answers to water concession requests. Rapidly increasing water requests can be supported provided that further uses of a river course are not totally compromised, and environmental features are protected as well. Strictly speaking, a water concession can be considered a continuous drawing from the source and causes a mean annual streamflow reduction. Therefore, deciding if a water concession is appropriate or inappropriate seems to be easily solved by comparing the generic demand to the mean annual streamflow value at disposal. Still, the immediate shortcoming for such a comparison is that streamflow data are information available only for few catchments and, most often, limited to specific sites. Subsequently, comparing the generic water demand to mean daily discharge is indeed far from being completely satisfactory since the mean daily streamflow is greater than the water withdrawal for a long period of a year. Consequently, such a comparison appears to be of little significance in order to preserve the quality and the quantity of the river. In order to overcome such a limit, this study aims to complete the information provided by flow duration curves introducing a link between Flow Duration Curves (FDCs) and recession curves and aims to show the chronological sequence of flows with a particular focus on low flow data. The analysis is carried out on 25 catchments located in North-Eastern Italy for which daily data are provided. The results identify groups of catchments as hydrologically homogeneous, having the lower part of the FDCs (corresponding streamflow interval is streamflow Q between 300 and 335, namely: Q(300), Q(335)) smoothly reproduced by a common recession curve. In conclusion, the results are useful to provide more reliable answers to water request, especially for those catchments which show similar hydrological response and can be used for a focused regionalization approach on low flow data. A mathematical link between streamflow duration curves and recession curves is herein provided, thus furnishing streamflow duration curves information upon a temporal sequence of data. In such a way, by introducing assumptions on recession curves, the chronological sequence upon low flow data can also be attributed to FDCs, which are known to lack this information by nature.

Keywords: Chronological sequence of discharges, recession curves, streamflow duration curves, water concession.

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 548

References:


[1] Alterach J.,Cadore A., De Lotto P., Zaina G., 2006, Regionalizzazione della curva di durata delle portate nell’area ‘Adamello ‘ Alpi Orobie’, XXX° Convegno di Idraulica e Costruzioni Idrauliche – Roma.
[2] Alterach J. et al., 2005, Valutazione a livello regionale delle risorse idriche superficiali. Applicazione di procedure di regionalizzazione delle curve di durata delle portate medie giornaliere nell'area montana dall'Adamello al versante meridionale delle Alpi Orobiche, Rapporto CESI A5055777.
[3] Annali Idrologici (1951,1971), Ministero dei Lavori Pubblici, Servizio Idrografico Sezione autonoma del Genio Civile con sede di Genova, Bacini con foce nel litorale tirrenico dal Roya al Magra, Roma, Istituto Poligrafico dello Stato.
[4] Bartolini P., 1989. Contributo all'analisi del deflusso in regime non influenzato. Le curve di esaurimento Annali Idrologici, Sez. di Genova del Servizio Idrigrafico, Parte II: 1973-1977.
[5] Beard L.R., 1943, Statistical analysis in hydrology, Trans ASCE, 108, pp. 1110-1160.
[6] Bevera D., Ranzi R., Regionalizzazione delle portate di magra e morbida nei bacini alpini, XXX Convegno di Idraulica e Costruzioni Idrauliche-IDRA 2006, pp. 1-13.
[7] Brath A., Castellarin A., Franchini M., Galeati G, 2001, Estimating the index flood using indirect methods, Hydrological Science Journal, 46 (3), pp 399-418.
[8] Castellarin A., Vogel R.M., Brath A., 2004a, A stochastic index flow model of flow duration curves, Water resources research, 40 (3), pp. 1-10.
[9] Castellarin A., Galeati G., Brandimarte L., Montanari A., Brath A., 2004, Regional Flow duration curves: Reliability for ungauged basins, Journal of Hydrology 27, pp 953-965.
[10] Castellarin, A., Camorani, G., Brath, A., 2007. Predicting Annual and Long-Term Flow-duration Curves in Ungauged Basins, Adv. in Water Resour., 30/4, pp. 937 – 953.
[11] Claps P., Fiorentino M., Probabilistic flow duration curves for use in environmental planning and management,1997, Integrated Approach to Environmental Data Management Systems, NATO ASI Series, Ser. 2 (31), Kluwer Academy, pp.255-266.
[12] Croker K.M., Young M.D.Z., Rees H.G., 2003, Flow duration curve estimation in ephemeral catchments in Portugal, Hydrological Science Journal 48(3), pp. 427-439.
[13] Foster H.A., 1934, Duration curves, Trans., ASCE,99, pp.1213-1267.
[14] Franchini M., Suppo M., 1996, Regional Analysis of flow duration curves for a limestone region, Water Resources Management, 10, pp.199-218.
[15] Iorns W.V., Hembree C.H., Oakland G.L., 1965, Water Resources of the upper Colorado River Basins, Technical
[16] Heo, J.H., Salas J.D., and Boes, D.C., 2001, Regional Flood Frequency Analysis Based on a Weibull Model, 2. Simulations and Application, Journal of Hydrology, pp.171-182.
[17] Jones, PN, McGilchrist CA, 1978, Analysis of hydrological recession curves, J. Hydrol. 36, pp.365-374.
[18] Knisel WG, 1963, Baseflow recession analysis for comparison of drainage basins and geology, J. Geophys. Res. 68(12), pp. 3649-3653.
[19] Koltun G.F., 1995, Determination of base flow characteristics at selected streamflow gaging stations on the Mad River, Ohio, Us Geological Survey.
[20] LeBoutillier D.V., Waylen P.R., 1993, A stochastic model of flow duration curves, Water Resource s Research, 29(10) pp. 3535-3541.
[21] Littlewood I., Croke B., 2008, Data time step dependency on conceptual rainfall streamflow model parameters on empirical study with implications for regionalization, Hydrological Sciences Journal, vol 53, no 4, pp 685-695.
[22] Mimikou M., Kaemaki S. , 1985, Regionalization of flow duration characteristics, Journal of Hydrology, 82, pp. 77-91.
[23] Morel-Seytoux, H.J., Salas, J.D., Sanders, T.G. and Smith, R.E., 1978, Surface and Subsurface Hydrology, Proc. Fort Collins III Internat. Hydrology Symp. on Theoretical and Applied Hydrology, Water Resources Publications, Littleton, Colorado.
[24] Quimpo RG, Alejandrino AA, McNally TA, 1983, Regionalized flow duration curves for Philippines,Journal of water resources planning and management, ASCE, 109(4), pp. 320-330.
[25] Salas J.D., Chung C., Cancelliere A., 2005, Correlations and Crossing Rates of Periodic-Stochastic Hydrologic Processes, Asce Jou., Hydrologic Engineering, vol 10(4), pp.278-287.
[26] Salas, J.D., Fu C., Cancelliere A., Dustin D., Bode D., Pineda A., Vincent E., 2005, Characterizing the Severity and Risk of Droughts of the Poudre River, Colorado, ASCE Jour. of Water Resources Planning and Management, Vol.131 (5), pp.383-393.
[27] Sauquet E., Catalogne. C., 2011, Comparison of catchment grouping methods for flow duration curve estimation at ungauged sites in France, Hydrol. Earth Syst. Sci. Discuss., 8, pp. 3233–3269
[28] Searcy James K., 1959, Flow duration curves, Manual of Hydrology: Part 2 Low Flow Tecniques, Geologica Survey Water Supply Paper, United States Government Printing Offiuce, pp. 1-33.
[29] Singh R.D., Mishra S.K., Chowdhary H., 2001, Regional flow duration models for large number of ungauged Himalayan catchments for planning microhydro projects, Journal of Hydrological Engineering, 6(4), pp.310-316.
[30] Smakhtin V.Y., Hughes D.A., Creuse Nadine E., 1997, Regionalization of daily characteristics in part of Eastern Cape, South Africa, Hydrological Science Journal, 42(6). Pp. 919-936.
[31] Smakhtin V.Y., 2001, Low flow Hydrology: a review. Journal of Hydrology 240, pp. 147-186.
[32] Singh R.D., Mishra S.K., Chowdhary H., 2001, Regional flow duration models for large number of ungauged Himalayan catchments for planning microhydro projects, Journal of Hydrological Engineering, 6(4), pp.310-316.
[33] Vezza, P., Comoglio, C., Rosso M., Viglione, A, 2010, Low Flows Regionalization in North-Western Italy, Water Resour. Manage., 24, pp. 4049–4074.
[34] Vogel R.M., Fennessey N.M., 1994, Flow duration curves. I: new interpretation and confidence intervals, Journal of Water Resources Planning and Management, 120 (4) pp.485-504.
[35] Vogel R.M., Fennessey N.M., 1995, Flow duration curves II: A review of applications in water resources planning, Water Resources Bulletin, 31(6), pp. 1029-1039.
[36] Wittenberg. H., 1994, Nonlinear analysis of flow recession curves. FRIEND-Flow regimes from International Expermiental and Network Data, IAHS Publication NO.221, pp. 61-67.
[37] Yu P.S., Yang T.C., Wang Y.C. 2002, Uncertainty analysis of regional flow duration curves, Journal of Water Resources Planning and Management, 128(6) pp. 424-430.
[38] Zelenhasic, E., Salvai, A., 1987,A method of streamflow drought analysis. Water Resources Research. 23 (1), pp. 156-168.