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Wavelet analysis of Fuenmayor karst spring, San Julián de Banzo, Huesca, Spain

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Abstract

Fuenmayor spring has been monitored continuously for identification purposes to study the behavior of a karst groundwater system. This paper initially deals with linear methods employing system engineering techniques for the analysis and identification of a hydrological system, considered as a black box model, which disregards information on the internal structure of the aquifer. Under a linear time invariant hypothesis, the application of the simple correlation of spectral analysis and parametric identification of transfer function generated some interesting results in the monitored spring. These tools have historically been successful in studying a large number of karst springs and continue to be practical approximations in initial attempts to obtain a draft model. Because of the nonlinear and nonstationary nature of karst, more effective systemic techniques are required to cover certain aspects of analysis that the linear system cannot reveal adequately. This paper presents interesting results using Fuenmayor spring data, collected over almost 10 years, to show the ability of wavelet techniques in the identification of a karst spring system.

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References

  • Bakalowicz M (2005) Karst groundwater. A challenge for new resources. Hydrogeol J 13(1):148–160

    Article  Google Scholar 

  • Bhuiyan C, Singh RP, Flügel WA (2009) Modeling of ground water recharge-potential in the hard-rock Aravalli terrain, India: a GIS approach. Environ Earth Sci 59(4):4929–4938

    Article  Google Scholar 

  • Bose AG (1959) A theory of nonlinear systems. Technical Report 309. Research Laboratory of Electronics. Massachusetts Institute of Technology, Cambridge

    Google Scholar 

  • Box G, Jenkins G (1976) Time series analysis: forecasting and control. Holden Day, San Francisco

    Google Scholar 

  • Chinarro D, Cuchí J, Villarroel J (2010) Application of wavelet correlation analysis to the karst spring of Fuenmayor. San Julián de Banzo, Huesca, Spain. In: Andreo B, Carrasco F, Durán JJ, LaMoreaux JW (eds) Advances in research in karst media, vol 1. Springer, Berlin, pp 75–81

  • Daubechies I (1990) The wavelet transform time–frequency localization and signal analysis. IEEE Trans Inf Theory 36(5):961–1004

    Article  Google Scholar 

  • Doerfliger N, Jeannin PY, Zwahlen F (1999) Water vulnerability assessment in karst environments: a new method of defining protection areas using a multi-attribute approach and GIS tools (epik method). Env Geol 39(2):165–176

    Article  Google Scholar 

  • Dreiss S (1982) Linear kernels for karst aquifers. Water Resour Res 18(4):865–876

    Article  Google Scholar 

  • Eagleman J (1967) Pan evaporation, potential and actual evapotranspiration. J Appl Meteorol 6:482–488

    Article  Google Scholar 

  • Eskinat E, Johnson SH, Luyben WL (1991) Use of hammerstein models in identification of nonlinear systems. AIChE J 37:255–268

    Article  Google Scholar 

  • Grinsted A, Moore JC, Jevrejeva S (2004) Application of the cross wavelet transform and wavelet coherence to geophysical time series. Nonlinear Proc Geophys 1:561–566

    Article  Google Scholar 

  • Grossman A, Morlet J (1984) Decomposition of hardy functions into square integrable wavelets of constant shape. SIAM J Math Anal 15:732–736

    Article  Google Scholar 

  • Janža M (2010) Hydrological modeling in the karst area, Rižana spring catchment, Slovenia. Environ Earth Sci 61(5):909–920

    Article  Google Scholar 

  • Labat D, Ababou R, Mangin A (2001) Nonlinearity and nonstationarity in rainfall-runoff relations for karstic springs. Institut de Mécanique des Fluides de Toulouse. Laboratoire Souterrain de Moulis. The International Association of Hydraulic Engineering and Research

  • Labat D, Mangin A, Ababou R (2002) Rainfall-runoff relations for karstic springs: multifractal analyses. J Hydrol 256(20):176–195

    Article  Google Scholar 

  • Larocque M, Mangin A, Razack M, Banton D (1998) Contribution of correlation and spectral analyses to the regional study of a large karst aquifer (Charente, France). J Hydrol 205:217–231

    Article  Google Scholar 

  • Lastennet R, Mudry J (1997) Role of karstification and rainfall in the behavior of a heterogeneous karst system. Env Geol 32(2):114–123

    Article  Google Scholar 

  • Ljung L (1987) System identification. Theory for the user. Prentice Hall, Englewood Cliffs

    Google Scholar 

  • Mallat S (1998) A wavelet tour of signal processing. Academic Press, London

  • Mangin A (1975) Contribution a l‘étude hydrodynamique des aquifères karstiques. Thèse, Institut des Sciences de la Terre de l‘Université de Dijon

  • Miao C, Yang L, Liu B, Gao Y, Li S (2010) Streamflow changes and its influencing factors in the mainstream of the Songhua River basin, Northeast China over the past 50 years. Environ Earth Sci 63(3):489–499

    Article  Google Scholar 

  • Narendra KS, Gallman PG (1966) An iterative method for the identification of nonlinear systems using a Hammerstein model. IEEE Trans Autom Control 11(3):546–550

    Article  Google Scholar 

  • Nash J, Sutcliffe J (1970) River flow forecasting through conceptual models part I—a discussion of principles. J Hydrol 10:282–290

    Article  Google Scholar 

  • Nelles O (2001) Nonlinear system identification. Springer, Berlin

    Google Scholar 

  • Ogata K (1987) Discrete-time control systems. Prentice Hall International Editions, Englewood Cliffs

    Google Scholar 

  • Palmer AN (2002) A distinctly European approach to karst hydrology. Hydrol Process Pages 16(14):2905–2906

    Article  Google Scholar 

  • Pottmann M, Pearson RK (1998) Block-oriented NARMAX models with output multiplicities. AIChE J 44:131–140

    Article  Google Scholar 

  • Rosner B (1983) Percentage points for a generalized ESD many-outlier procedure. Technometrics 25:165–172

    Article  Google Scholar 

  • Singleton HE (1950) Theory of nonlinear transducers. Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, Technical report 160

  • Struzik Z, Siebes A (2000) Outlier detection and localization with wavelet based multifractal formalism. Stichting Mathematisch Centrum Information Systems, Report INS-R0008, Amsterdam

  • Torrence C, Compo GP (1998) A practical guide to wavelet analysis. Bull Am Meteorol Soc 79:61–78

    Article  Google Scholar 

  • Wiener N (1958) Nonlinear problems in random theory. The Technology Press M. I. T. and John Wiley and Sons Inc, New York

    Google Scholar 

  • Wigren T (1993) Recursive prediction error identification using the nonlinear wiener model. Automatica 29(4):1011–1025

    Article  Google Scholar 

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Acknowledgments

This work was supported by the researching group GTE (Grupo de Tecnologías en Entornos Hostiles) at University of Zaragoza, Spain. Access permits were provided by the authorities of the Natural Park of Sierra and Canyons of Guara. The Spanish meteorological agency (AEMET) is thanked by the data of Monflorite airfield. Some deserved mentions to: L. Serena, head of the Engineering Department of the City council of Huesca, for his help, and R. Fortuño, the spring ranger.

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  1. Group of Technologies in Hostile Environments (GTE), I3A. University of Zaragoza, C/María de Luna 3, 50018, Zaragoza, Spain

    D. Chinarro, J. L. Villarroel & J. A. Cuchí

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  1. D. Chinarro
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  2. J. L. Villarroel
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  3. J. A. Cuchí
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Correspondence to D. Chinarro.

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Chinarro, D., Villarroel, J.L. & Cuchí, J.A. Wavelet analysis of Fuenmayor karst spring, San Julián de Banzo, Huesca, Spain. Environ Earth Sci 65, 2231–2243 (2012). https://doi.org/10.1007/s12665-011-1351-y

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