Abstract
Large dams require not only the definition of peak flow but also description of the shape of the hydrograph because both aspects are considered in the design and operation of the spills. There are several methods to do this, but these are subjective and questionable, and rely on the time-base definition of the design hydrograph, and on the historical samples used for estimation. In this paper a new procedure is proposed to obtain the design hydrographs for this class of spills by means of daily mean inflow historical data, selecting the time base of the design hydrograph using spectral analysis of the historical floods and eliminating the subjectivity on its selection. Additionally, a procedure to give the shape of the flood is presented, that is different from the traditional procedure of alternating blocks or utilising Gamma or Hermitian Hydrographs because it is added a statistical analysis of the block to be alternated. Results were obtained using the different methods for a return period of 10,000 years, using the historical data of the Angostura dam at Sonora in Mexico. The design hydrograph obtained was compared with the Method of Institute of Engineering UNAM (IIUNAM) and a bivariate probabilistic method. Using the spectral method the time base of multi peak floods were obtained, similar to those which were recorded by the historical events.
Similar content being viewed by others
References
Aldama AA, Ramírez AI (2002) Dam design flood estimation based on bivariate extreme-value distributions, IAHS, Reykjavick, The Extremes of the Extremes. Extraordinary Floods 25:257–262
Alvarado RJM, Stern FCE (2010) Un complemento al teorema de Nyquist. Rev Mexicana Fís 56(2):165–171
Bracewell RN (1978) The fourier transform and its applications. McGraw-Hill, New York
Carabela HJC (2011) Influencia de los eventos de huracán en la actualización de avenidas de diseño y operación de vertedores de dos presas de México. Tesis de licenciatura, Facultad de Ingeniería, UNAM
Carrizosa EE, Arganis JML, Domínguez MR, Osnaya RJ, Esquivel GG, Hollands TA, Palacios CS, Ramírez SLE (2009) Estudio Integral de la Cuenca Alta del Río Grijalva. Actualización de Avenidas de Diseño.CFE
Cavicchi TJ (2000) Digital signal processing. Wiley, New York
CONAGUA (2011) Estadísticas del Agua en México. In: http://www.conagua.gob.mx/CONAGUA07/Publicaciones/Publicaciones/SGP-1-11-EAM2011.PDF
CONAGUA (2011) Banco Nacional de Datos de Aguas Superficiales. In: http://www.imta.mx/
Cruz GM (2001) Determinación de la tormenta de diseño, México, Hidrología, Hidráulica y Ambiental, Vol. XXII(No.2): 27–30
Dolgonosov BM, Korchagin KA, Kirpichnikova NV (2008) Modeling of annual oscillations and 1/f-noise of daily river discharges. J Hydrol 357:174–187
Domínguez MR, Arganis JML (2012) Validation of methods to estimate design discharge flow rates for dam spillways with large regulating capacity. Hydrol Sci J 57(3):460–478
Domínguez MR, Carrizosa EE, Fuentes MGE (2000) Estimación y manejo de crecientes en la cuenca alta del río Grijalva, Memorias del XVI Congreso Nacional de Hidráulica, Morelia, Michoacán: 97 a 102
Domínguez MR, Arganis JML, Carrizosa EE, De Luna CF, Esquivel GG, Mendoza RA (2007) a Determinación de Políticas de Operación del Río Fuerte. Para CFE
Domínguez MR, Carrizosa EE, Arganis JML, Esquivel GG, Mendoza RA (2007) b Determinación de la avenida de diseño en la presa el Infiernillo, Michoacán. Para CFE
Domínguez MR, Fuentes MOA, Arganis JML, Mendoza RA (2009) Calculation of bivariate double gumbel probability density function via a genetic algorithm: application to Huites dam basin. J Flood Eng (IFE) 1(1):41–54
Domínguez MR, Arganis JML, Carrizosa EE, Mendoza RR, Reyes MH, Carabela HJC, Guzmán GH (2011) Actualización de avenidas de diseño y determinación de políticas de operación de las presas del río Yaqui. Para CONAGUA
Fuentes MOA (2008) Hidrogramas multipicos con Tiempo base largo. Sistema Nacional de Protección Civil. Centro Nacional de Prevención de Desastres. Informe preparado para el CENAPRED. Área de Riesgos Hidrometeorológicos
González VFJ (1970) Contribución al análisis de frecuencias de valores extremos de los gastos máximos en un río. Instituto de Ingeniería, UNAM, Pub. 227, México
Hiemstra LAV, Francis DM (1979) The Runhydrograph—Theory and Application for Flood Predictions. Water Research Commission, Pretoria
Jiménez EM (1998) Programa AX. Área de Riesgos Hidrometeorológicos. Centro Nacional de Prevención de Desastres, México
Jiménez EM (2000) Diseño integral de vertedores. Tesis doctoral. Facultad de Ingeniería, DEPFI, UNAM
Khan AA (2005) Digital signal processing fundamentals, Da Vinci Engineering, Hingham, Massachusetts
Kite GW (1998) Frequency and Risk Analysis in Hidrology. Water Resources Publications, Littleton, Colorado, EUA
Patnaik PR (1997) Spectral analysis of the effect of inflow noise on a fed-batch fermentation for recombinant b-galactosidase. Bioprocess Eng 17: 93–97 Ó Springer-Verlag
Rahnemaei M, Zareb M, Nematollahic AR, Sedghid H (2005) Application of spectral analysis of daily water level and spring discharge hydrographs data for comparing physical characteristics of karstic aquifers. J Hydrol 311:106–116
Ramírez OAI, Aldama AA (2000) Análisis de frecuencias conjunto para la estimación de avenidas de diseño, Avances en Hidráulica, número 7, IMTA, México
Rossi F, Florentino M, Versace P (1984) Two-component extreme value distribution for flood frequency analysis. Water Resour Res 20(7):847–856
Welderufael WA, Woyessa YE (2010) Stream flow analysis and comparison of base flow separation methods. Case study of the Modder River Basin in Central South Africa. Eur Water 31:3–12
Acknowledgments
We want to thank to the DGAPA PAPIIT IN101514 (RN101514) for their financial support in this research.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Fuentes-Mariles, Ó.A., Domínguez-Mora, R., Arganis-Juárez, M.L. et al. Estimate of Design Hydrographs for the Angostura Dam, Sonora, Using Statistical and Spectral Methods. Water Resour Manage 29, 4021–4043 (2015). https://doi.org/10.1007/s11269-015-1043-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11269-015-1043-6