Baseflow; optimization; conductance mass balance; objective function; recursive digital filter; recession rate
Abstract :
[en] Baseflow estimation is of overwhelming importance in hydrological modelling and water resources management. One of the widely used techniques to derive baseflow from measured stream flow is the Recursive Digital Filter (RDF). Yet its application still raises methodological issues related to the determination of its parameters. In this study, we propose a practical and automatic procedure to calibrate the RDF with respect to the measured stream flow. The method operationality and robustness are first demonstrated on three gauging stations in the Ourthe catchment (Belgium). The calibrated parameters compare well with those obtained by a standard graphical approach. Next, the proposed approach is compared to the technique of Conductance Mass Balance (CMB) for two gauging stations in the Hoyoux catchment (Belgium). A fair agreement between the results of the two techniques is obtained, suggesting that the proposed automatic calibration procedure of RDF takes the baseflow separation process to a higher level of practicality and transparency.
Research center :
UEE - Urban and Environmental Engineering - ULiège
Disciplines :
Civil engineering
Author, co-author :
Rammal, Mohamad ; Université de Liège - ULiège > Département ArGEnCo > HECE (Hydraulics in Environnemental and Civil Engineering)
Archambeau, Pierre ; Université de Liège - ULiège > Département ArGEnCo > HECE (Hydraulics in Environnemental and Civil Engineering)
Erpicum, Sébastien ; Université de Liège - ULiège > Scientifiques attachés au Doyen (Sc.appliquées)
Orban, Philippe ; Université de Liège - ULiège > Département ArGEnCo > Hydrogéologie & Géologie de l'environnement
Brouyère, Serge ; Université de Liège - ULiège > Département ArGEnCo > Hydrogéologie & Géologie de l'environnement
Pirotton, Michel ; Université de Liège - ULiège > Département ArGEnCo > HECE (Hydraulics in Environnemental and Civil Engineering)
Dewals, Benjamin ; Université de Liège - ULiège > Département ArGEnCo > Hydraulics in Environmental and Civil Engineering
Language :
English
Title :
Technical note: An operational implementation of recursive digital filter for baseflow separation
Arnold, J. G., & Allen, P. M. (1999). Automated methods for estimating baseflow and ground water recharge from streamflow records. Journal of the American Water Resources Association, 35(2), 411–424. https://doi.org/10.1111/j.1752-1688.1999.tb03599.x
Barnes, B. S. (1939). The structure of base flow recession curves. Earth and Space Science News, 20(4), 721–725. https://doi.org/10.1029/TR020i004p00721
Bendjoudi, H., & Hubert, P. (2002). Le coefficient de compacité de Gravelius: Analyse critique d'un indice de forme des bassins versants (Gravelius compactness coefficient: Critical analysis of a shape index of watersheds). Hydrological Sciences, 47(6), 921–930. https://doi.org/10.1080/02626660209493000
Beven, K. J. (1989). Changing ideas in hydrology: The case of physically-based models. Journal of Hydrology, 105(1–2), 157–172. https://doi.org/10.1016/0022-1694(89)90101-7
Briers, P., Orban, P., & Brouyère, S. (2016a). Quantification des échanges nappe-rivière pour les bassins tests (Quantification of groundwater-river exchanges in the tested basins). Délivrable D3.5 of the project "Caractérisation complémentaire des masses d'eau dont le bon état dépend d'interactions entre les eaux de surface et les eaux souterraines", Université de Liège. http://hdl.handle.net/2268/195405
Briers, P., Orban, P., & Brouyère, S. (2016b). Développement d'indicateurs des interactions entre eaux souterraines et eau de surface (Development of indicators for groundwater - surface water interactions) Délivrable D4.1 of the project "caractérisation complémentaire des masses d'eau dont le bon état dépend d'interactions entre les eaux de surface et les eaux souterraines". Université de Liège. http://hdl.handle.net/2268/195406
Brouyère, S., Briers, P., Schmit, F., Sohier, C., Degré, A., Descy, J.-P., et al. (2016). Final report of the project "Caractérisation complémentaire des masses d'eau dont le bon état dépend d'interactions entre les eaux de surface et les eaux souterraines" (complemenary characterization of water bodies for which the good status depends on groundwater-surface water interactions). Université de Liège. http://hdl.handle.net/2268/195783
Brutsaert, W., & Nieber, J. L. (1977). Regionalized drought flow hydrographs from a mature glaciated plateau. Water Resources Research, 13(3), 637–643. https://doi.org/10.1029/WR013i003p00637
Cey, F. E., Rudolph, D. L., Parkin, G. W., & Aravena, R. (1998). Quantifying groundwater discharge to a small perennial stream in southern Ontario, Canada. Journal of Hydrology, 210(1–4), 21–37. https://doi.org/10.1016/S0022-1694(98)00172-3
Chapman, T. (1991). Comment on “Evaluation of automated techniques for base flow and recession analyses” by R. J. Nathan and T. A. McMahon. Water Resources Research, 27(7), 1783–1784. https://doi.org/10.1029/91WR01007
Cheng, L., Zhang, L., & Brutsaert, W. (2016). Automated selection of pure base flows from regular daily streamflow data: Objective algorithm. Journal of Hydrological Engineering, 21(11), 06016008. https://doi.org/10.1061/(ASCE)HE.1943-5584.0001427
Daniel, J. F. (1976). Estimating groundwater evapotranspiration from streamflow records. Water Resources Research, 12(3), 360–364. https://doi.org/10.1029/WR012i003p00360
Eckhardt, K., Haverkamp, S., Fohrer, N., & Frede, H.-G. (2002). SWAT-G, a version of SWAT99.2 modified for application to low mountain range catchments. Physical Chemistry of the Earth, 27(9–10), 641–644. https://doi.org/10.1016/S1474-7065(02)00048-7
Ferket, B. V. A., Samain, S., & Pauwels, V. R. N. (2010). Internal validation of conceptual rainfall-runoff models using baseflow separation. Journal of Hydrology, 381(1–2), 158–173. https://doi.org/10.1016/j.jhydrol.2009.11.038
Gonzales, A. L., Nonner, J., Heijkers, J., & Uhlenbrook, S. (2009). Comparison of different base flow separation methods in a lowland catchment. Hydrology and Earth System Sciences, 13(11), 2055–2068. https://doi.org/10.5194/hess-13-2055-2009
Halford, K. J., & Mayer, G. C. (2000). Problems associated with estimating ground water discharge and recharge from stream-discharge records. Ground Water, 38(3), 331–342. https://doi.org/10.1111/j.1745-6584.2000.tb00218.x
Hall, F. R. (1968). Base-flow recessions—A review. Water Resources Research, 4(5), 973–983. https://doi.org/10.1029/WR004i005p00973
Holko, L., Herrmann, A., Uhlenbrook, S., Pfister, L., & Querner, E. P. (2002). Ground water runoff separation—Test of applicability of a simple separation method under varying natural conditions. Paper presented at 4th International FRIEND Conference, International Association of Hydrological Sciences, Cape Town, South Africa
Lang, C., Gille, E., Francois, D., & Drogue, G. (2008). Improvement of a lumped rainfall-runoff structure and calibration procedure for predicting daily low flow discharges. Journal of Hydrology and Hydromechanics, 56, 59–71
Langbein, W. B. (1938). Some channel storage studies and their application to the determination of infiltration. Earth and Space Science News, 19(1), 435–445. https://doi.org/10.1029/TR019i001p00435
Li, Q., Xing, Z., Danielescu, S., Li, S., Jiang, Y., & Meng, F.-R. (2014). Data requirement of using combined conductivity mass balance and recursive digital filter method to estimate groundwater recharge in a small watershed, New Brunswick, Canada. Journal of Hydrology, 511, 658–664. https://doi.org/10.1016/j.jhydrol.2014.01.073
Lott, D. A., & Stewart, M. T. (2016). Base flow separation: A comparison of analytical and mass balance methods. Journal of Hydrology, 535, 525–533. https://doi.org/10.1016/j.jhydrol.2016.01.063
Matsubayashi, U., Velasquez, G. T., & Takagi, F. (1993). Hydrograph separation and flow analysis by specific electrical conductance of water. Journal of Hydrology, 152(1–4), 179–199. https://doi.org/10.1016/0022-1694(93)90145-Y
Miller, M. P., Johnson, H. M., Susong, D. D., & Wolock, D. M. (2015). A new approach for continuous estimation of baseflow using discrete water quality data: Method description and comparison with baseflow estimates from two existing approaches. Journal of Hydrology, 522, 203–210. https://doi.org/10.1016/j.jhydrol.2014.12.039
Nash, J. E., & Sutcliffe, J. V. (1970). River flow forecasting through conceptual models, part I—A discussion of principles. Journal of Hydrology, 10(3), 282–290. https://doi.org/10.1016/0022-1694(70)90255-6
Nathan, R. J., & McMahon, T. A. (1990). Evaluation of automated techniques for base flow and recession analyses. Water Resources Research, 26(7), 1465–1473. https://doi.org/10.1029/WR026i007p01465
Nejadhashemi, A. P., Shirmohammadi, A., & Montas, H. J. (2003). Evaluation of streamflow partitioning methods, American Society of Agricultural and Biological Engineers, St. Joseph, Michigan, Las Vegas, Nevada, U.S., paper number 032183, ASAE Annual Meeting
Peters, E., & Van Lanen, H. A. J. (2005). Separation of base flow from streamflow using groundwater levels illustrated for the Pang catchment (UK). Hydrological Processes, 19(4), 921–936. https://doi.org/10.1002/hyp.5548
Pilgrim, D. H., Huff, D. D., & Steele, T. D. (1979). Use of specific conductance and contact time relations for separating flow components in storm runoff. Water Resources Research, 15(2), 329–339. https://doi.org/10.1029/WR015i002p00329
Pinder, G. F., & Jones, J. F. (1969). Determination of the ground-water component of peak discharge from the chemistry of total runoff. Water Resources Research, 5(2), 438–445. https://doi.org/10.1029/WR005i002p00438
Rorabaugh, M. I. (1964). Estimating changes in bank storage and ground-water contribution to streamflow. International Association of Scientific Hydrology. Publication, 63, 432–441
Rutledge, A. T. (1997). Model-estimated ground-water recharge and hydrograph of ground-water discharge to a stream, U.S. Geological Survey, Reston, Virginia, U.S., Water Resources Investigations Report 97–4253, 29 pp
Rutledge, A. T. (2005). The appropriate use of the Rorabaugh model to estimate ground-water recharge. Ground Water, 43(3), 292–293. https://doi.org/10.1111/j.1745-6584.2005.0022.x
Rutledge, A. T., & Daniel, C. C. (1994). Testing an automated method to estimate ground-water recharge from streamflow records. Ground Water, 32(2), 180–189. https://doi.org/10.1111/j.1745-6584.1994.tb00632.x
Singh, K. P., & Stall, J. B. (1971). Derivation of base flow recession curves and parameters. Water Resources Research, 7(2), 292–303. https://doi.org/10.1029/WR007i002p00292
Stewart, M., Cimino, J., & Ross, M. (2007). Calibration of baseflow separation methods with streamflow conductivity. Ground Water, 45(1), 17–27. https://doi.org/10.1111/j.1745-6584.2006.00263.x
Su, C.-H., Costelloe, J. F., Peterson, T. J., & Western, A. W. (2016). On the structural limitations of recursive digital filters for base flow estimation. Water Resources Research, 52, 4745–4764. https://doi.org/10.1002/2015WR018067
Tallaksen, L. M. (1995). A review of baseflow recession analysis. Journal of Hydrology, 165(1–4), 349–370. https://doi.org/10.1016/0022-1694(94)02540-R
Tardy, Y., Bustillo, V., & Boeglin, J. L. (2004). Geochemistry applied to the watershed survey: Hydrograph separation, erosion and soil dynamics. A case study: The basin of the Niger River, Africa. Applied Geochemistry, 19(4), 469–518. https://doi.org/10.1016/j.apgeochem.2003.07.003
Tesoriero, A. J., Duff, J. H., Saad, D. A., Spahr, N. E., & Wolock, D. M. (2013). Vulnerability of streams to legacy nitrate sources. Environmental Science and Technology, 47(8), 3623–3629. https://doi.org/10.1021/es305026x
Therrien, R., McLaren, R. G., Sudicky, E. A., Panday, S. M. (2010). HydroGeoSphere: A three dimensional numerical model describing fully-integrated subsurface and surface flow and solute transport
Toebes, C., & Strang, D. D. (1964). On recession curves, 1—Recession equations. Journal of Hydrology, 3, 2–15
Vogel, R. M., & Kroll, C. N. (1996). Estimation of baseflow recession constants. Water Resources Management, 10(4), 303–320. https://doi.org/10.1007/BF00508898
Wenninger, J., Uhlenbrook, S., Tilch, N., & Leibundgut, C. (2004). Experimental evidence of fast groundwater responses in a hillslope/floodplain area in the Black Forest Mountains, Germany. Hydrological Processes, 18(17), 3305–3322. https://doi.org/10.1002/hyp.5686
Willems, P. (2009). A time series tool to support the multi-criteria performance evaluation of rainfall–runoff models. Environmental Modelling and Software, 24(3), 311–321. https://doi.org/10.1016/j.envsoft.2008.09.005
Willems, P. (2014). Parsimonious rainfall-runoff model construction supported by time series processing and validation of hydrological extremes—Part 1: Step-wise model-structure identification and calibration approach. Journal of Hydrology, 510, 578–590. https://doi.org/10.1016/j.jhydrol.2014.01.017
Yu, Z. B., & Schwartz, F. W. (1999). Automated calibration applied to watershed-scale flow simulations. Hydrological Processes, 13(2), 191–209. https://doi.org/10.1002/(SICI)1099-1085(19990215)13:2%3C191::AID-HYP706%3E3.3.CO;2-E
Zhang, J. L., Zhang, Y. Q., Song, J. X., & Cheng, L. (2017). Evaluating relative merits of four baseflow separation methods in eastern Australia. Journal of Hydrology, 549, 252–263. https://doi.org/10.1016/j.jhydrol.2017.04.004
Zhang, R., Li, Q., Chow, T. L., Li, S., & Danielescu, S. (2013). Baseflow separation in a small watershed in New Brunswick, Canada, using a recursive digital filter calibrated with the conductivity mass balance method. Hydrological Processes, 27(18), 2659–2665. https://doi.org/10.1002/hyp.9417