Skip to main content
Top
Published in: Environmental Earth Sciences 9/2014

01-11-2014 | Original Article

Monthly karstic spring flow forecasting using a sequential gaussian simulation technique

Authors: Seiyed Mossa Hosseini, Najmeh Mahjouri, Sajjad Bagheri

Published in: Environmental Earth Sciences | Issue 9/2014

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Analyzing groundwater hydrologic equations related to karstic aquifers and spring hydrograph simulation have become the focus of many researches. Having double or triple porosity structure, mixed flow nature, and varying conduit permeability have made these formations become complex heterogenic systems with great temporal and spatial hydrodynamic variability. In this paper, a conditional sequential gaussian simulation (SGS) is used to simulate monthly flow data of five karstic springs with different hydrogeological properties, located in Zagros Mountain Chain, in western Iran. To evaluate the performance of the SGS algorithm, the results are compared with those of an autoregressive integrated moving average (ARIMA) model. The results demonstrate the efficiency of the SGS model in simulation of monthly flows compared to the ARIMA model. They also show the suitability of this model for handling uncertainty associated with karstic spring flows through generation of several equally probable stochastic realizations.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Agard P, Omrani J, Jolivet L, Mouthereau F (2005) Convergence history across Zagros, Iran; constraints from collisional and earlier deformation. Int J Earth Sci 94:401–419CrossRef Agard P, Omrani J, Jolivet L, Mouthereau F (2005) Convergence history across Zagros, Iran; constraints from collisional and earlier deformation. Int J Earth Sci 94:401–419CrossRef
go back to reference Ahn H, Salas JD (1997) Groundwater head sampling based on stochastic analysis. Water Resour Res 33(12):2769–2780CrossRef Ahn H, Salas JD (1997) Groundwater head sampling based on stochastic analysis. Water Resour Res 33(12):2769–2780CrossRef
go back to reference Akaike H (1973) Information theory and an extension of the maximum likelihood principle. In: Proceedings of the 2nd international symposium on information theory Akaike H (1973) Information theory and an extension of the maximum likelihood principle. In: Proceedings of the 2nd international symposium on information theory
go back to reference Alavi M (2004) Regional stratigraphy of the Zagros fold thrust belt of Iran and its proforeland evolution. Am J Sci 304:1–20CrossRef Alavi M (2004) Regional stratigraphy of the Zagros fold thrust belt of Iran and its proforeland evolution. Am J Sci 304:1–20CrossRef
go back to reference Anderson RG, Goulden ML (2011) Relationships between climate, vegetation, and energy exchange across a montane gradient. J Geophys Res 116:G01026. doi:10.1029/2010jg001476 Anderson RG, Goulden ML (2011) Relationships between climate, vegetation, and energy exchange across a montane gradient. J Geophys Res 116:G01026. doi:10.​1029/​2010jg001476
go back to reference Andreo B, Goldscheider N, Vadillo I, Vias JM, Neukum C, Sinreich M, Jiménez P, Brechenmacher J, Carrasco F, Hotzl H (2006) Karst groundwater protection: first application of a Pan-European approach to vulnerability, hazard and risk mapping in the Sierra de Libar (Southern Spain). Sci Total Environ 357(1–3):54–73. doi:10.1016/j.scitotenv.2005.05.019 CrossRef Andreo B, Goldscheider N, Vadillo I, Vias JM, Neukum C, Sinreich M, Jiménez P, Brechenmacher J, Carrasco F, Hotzl H (2006) Karst groundwater protection: first application of a Pan-European approach to vulnerability, hazard and risk mapping in the Sierra de Libar (Southern Spain). Sci Total Environ 357(1–3):54–73. doi:10.​1016/​j.​scitotenv.​2005.​05.​019 CrossRef
go back to reference Angulo JM, Gonzalez-Manteiga W, Febrero-Bande M, Alonso FJ (1998) Semi-parametric statistical approaches for space–time process prediction. Environ Ecol Stat 5:297–316CrossRef Angulo JM, Gonzalez-Manteiga W, Febrero-Bande M, Alonso FJ (1998) Semi-parametric statistical approaches for space–time process prediction. Environ Ecol Stat 5:297–316CrossRef
go back to reference Arbia G, Lafratta G (2002) Anisotropic spatial sampling designs for urban population. Appl Stat 51(2):223–234 Arbia G, Lafratta G (2002) Anisotropic spatial sampling designs for urban population. Appl Stat 51(2):223–234
go back to reference Atkinson TC (1977) Diffuse flow and conduit flow in limestone terrain in the Mendip Hills, Somerset (Great Britain). J Hydrol 35:93–110CrossRef Atkinson TC (1977) Diffuse flow and conduit flow in limestone terrain in the Mendip Hills, Somerset (Great Britain). J Hydrol 35:93–110CrossRef
go back to reference Bailly-Comte V, Jourde H, Pistre S (2009) Conceptualization and classification of groundwater-surface water hydrodynamic interactions in karst watersheds: case of the karst watershed of the Coulazou River (Southern France). J Hydrol 376(3–4):456–462CrossRef Bailly-Comte V, Jourde H, Pistre S (2009) Conceptualization and classification of groundwater-surface water hydrodynamic interactions in karst watersheds: case of the karst watershed of the Coulazou River (Southern France). J Hydrol 376(3–4):456–462CrossRef
go back to reference Barfield BJ, Felton GK, Stevens EW, McCann M (2004) A simple model of karst spring flow using modified NRCS procedures. J Hydrol 287:34–48CrossRef Barfield BJ, Felton GK, Stevens EW, McCann M (2004) A simple model of karst spring flow using modified NRCS procedures. J Hydrol 287:34–48CrossRef
go back to reference Benndorf J (2013) Application of efficient methods of conditional simulation for optimising coal blending strategies in large continuous open pit mining operations. Int J Coal Geol 112:141–153CrossRef Benndorf J (2013) Application of efficient methods of conditional simulation for optimising coal blending strategies in large continuous open pit mining operations. Int J Coal Geol 112:141–153CrossRef
go back to reference Birk S, Liedl R, Sauter M (2002) New approaches in modeling and characterization of karst aquifers. Karst Front Karst Waters Inst Spec Publ 7:27–31 Birk S, Liedl R, Sauter M (2002) New approaches in modeling and characterization of karst aquifers. Karst Front Karst Waters Inst Spec Publ 7:27–31
go back to reference Bonacci O (1993) Karst spring hydrographs as indicators of karst aquifers. Hydrol Sci J 38:51–62CrossRef Bonacci O (1993) Karst spring hydrographs as indicators of karst aquifers. Hydrol Sci J 38:51–62CrossRef
go back to reference Borghi Andrea, Renard Philippe, Jenni Sandra (2012) A pseudo-genetic stochastic model to generate karstic networks. J Hydrol 414–415:516–529CrossRef Borghi Andrea, Renard Philippe, Jenni Sandra (2012) A pseudo-genetic stochastic model to generate karstic networks. J Hydrol 414–415:516–529CrossRef
go back to reference Box GEP, Jenkins M (1976) Time series analysis: forecasting and control. Revised Edition, Holden-Day Inc., Oakland Box GEP, Jenkins M (1976) Time series analysis: forecasting and control. Revised Edition, Holden-Day Inc., Oakland
go back to reference Box GEP, Cox DR (1982) An analysis of transformation revisited, rebutted. J Am Stat Assoc 77:209–210CrossRef Box GEP, Cox DR (1982) An analysis of transformation revisited, rebutted. J Am Stat Assoc 77:209–210CrossRef
go back to reference Box GEP, Jenkins GM, Reinsel GC (1991) Time series analysis, forecasting and control. Prentice Hall, Englewood Cliffs Box GEP, Jenkins GM, Reinsel GC (1991) Time series analysis, forecasting and control. Prentice Hall, Englewood Cliffs
go back to reference Budrikaite L, Ducinskas K (2005) Mathematical modelling and analysis 2005. In: Proceedings of the 10th international conference MMA2005 and CMAM2, Trakai, pp 361–366 Budrikaite L, Ducinskas K (2005) Mathematical modelling and analysis 2005. In: Proceedings of the 10th international conference MMA2005 and CMAM2, Trakai, pp 361–366
go back to reference Campbell CW, Sullivan SM (2002) Simulating time-varying cave flow and water levels using the storm water management model. Eng Geol 65(2–3):133–139CrossRef Campbell CW, Sullivan SM (2002) Simulating time-varying cave flow and water levels using the storm water management model. Eng Geol 65(2–3):133–139CrossRef
go back to reference Castrignan A, Buttafuoco G (2004) Geostatistical stochastic simulation of soil water content in a forested area of South Italy. Biosyst Eng 87(2):257–266CrossRef Castrignan A, Buttafuoco G (2004) Geostatistical stochastic simulation of soil water content in a forested area of South Italy. Biosyst Eng 87(2):257–266CrossRef
go back to reference Chilès J-P, Delfiner P (1999) Geostatistics: modelling spatial uncertainty. Wiley, New York, p 695CrossRef Chilès J-P, Delfiner P (1999) Geostatistics: modelling spatial uncertainty. Wiley, New York, p 695CrossRef
go back to reference Chinarro D, Cuchí JA, Villarroel JL (2010) Application of wavelet correlation analysis to the karst spring of Fuenmayor. San Julian de Banzo, Huesca, Spain. In: Andreo et al (eds) Adv Res Karst Media, Springer, pp 75–81. doi:10.1007/978-3-642-12486-0 Chinarro D, Cuchí JA, Villarroel JL (2010) Application of wavelet correlation analysis to the karst spring of Fuenmayor. San Julian de Banzo, Huesca, Spain. In: Andreo et al (eds) Adv Res Karst Media, Springer, pp 75–81. doi:10.​1007/​978-3-642-12486-0
go back to reference Colman-Sadd SP (1978) Fold development in Zagros simply folded belt, Southwest Iran. Am Assoc Pet Geol Bull 62:984–1003 Colman-Sadd SP (1978) Fold development in Zagros simply folded belt, Southwest Iran. Am Assoc Pet Geol Bull 62:984–1003
go back to reference Comegna V, Vitale C (1993) Space–time analysis of water status in a volcanic Vesuvian soil. Geoderma 60:135–158CrossRef Comegna V, Vitale C (1993) Space–time analysis of water status in a volcanic Vesuvian soil. Geoderma 60:135–158CrossRef
go back to reference Cornaton F, Perrochet P (2002) Analytical 1D dual-porosity equivalent solutions to 3D discrete-continuum models. Application to karstic spring hydrograph modelling. J Hydrol 262:165–176CrossRef Cornaton F, Perrochet P (2002) Analytical 1D dual-porosity equivalent solutions to 3D discrete-continuum models. Application to karstic spring hydrograph modelling. J Hydrol 262:165–176CrossRef
go back to reference Cryer JD, Chan K-S (2008) Time series analysis: with applications in R, 2nd edn. Springer Science + Business Media, LLC, New YorkCrossRef Cryer JD, Chan K-S (2008) Time series analysis: with applications in R, 2nd edn. Springer Science + Business Media, LLC, New YorkCrossRef
go back to reference De Cesare L, Myers DE, Posa D (2001) Estimating and modeling space–time correlation structures. Stat Probab Lett 51:9–14CrossRef De Cesare L, Myers DE, Posa D (2001) Estimating and modeling space–time correlation structures. Stat Probab Lett 51:9–14CrossRef
go back to reference Deutsch CV, Journel AG (1992) GSLIB: geostatistical software library and user’s guide. Oxford University, Oxford Deutsch CV, Journel AG (1992) GSLIB: geostatistical software library and user’s guide. Oxford University, Oxford
go back to reference Dimitrakopoulos R, Luo X (2004) Generalised sequential Gaussian simulation on group size and screen-effect approximations for large field simulations. Math Geol 36(5):567–591CrossRef Dimitrakopoulos R, Luo X (2004) Generalised sequential Gaussian simulation on group size and screen-effect approximations for large field simulations. Math Geol 36(5):567–591CrossRef
go back to reference Dörfliger N, Fleury P, Ladouche B (2008) Inverse modeling approach to allogenic karst system characterization. Ground Water 47(3):414–426CrossRef Dörfliger N, Fleury P, Ladouche B (2008) Inverse modeling approach to allogenic karst system characterization. Ground Water 47(3):414–426CrossRef
go back to reference Doummar J, Sauter M, Geyer T (2012) Simulation of flow processes in a large scale karst system with an integrated catchment model (Mike She)—identification of relevant parameters influencing spring discharge. J Hydrol 426:112–123CrossRef Doummar J, Sauter M, Geyer T (2012) Simulation of flow processes in a large scale karst system with an integrated catchment model (Mike She)—identification of relevant parameters influencing spring discharge. J Hydrol 426:112–123CrossRef
go back to reference Dowd PA (1997) The geostatistical characterization of three-dimensional spatial heterogeneity of rock properties at Sellafield. Trans Inst Min Metall 106:A133–A147 Dowd PA (1997) The geostatistical characterization of three-dimensional spatial heterogeneity of rock properties at Sellafield. Trans Inst Min Metall 106:A133–A147
go back to reference Dowd PA, Pardo-Iguzquiza E (2002) The incorporation of model uncertainty in geostatistical simulation. Geogr Environ Model 6(2):147–169CrossRef Dowd PA, Pardo-Iguzquiza E (2002) The incorporation of model uncertainty in geostatistical simulation. Geogr Environ Model 6(2):147–169CrossRef
go back to reference Dowd PA, Xu Ch, Mardia KV, Fowell RJ (2007) A comparison of methods for the stochastic simulation of rock fractures. Math Geol 39:697–714CrossRef Dowd PA, Xu Ch, Mardia KV, Fowell RJ (2007) A comparison of methods for the stochastic simulation of rock fractures. Math Geol 39:697–714CrossRef
go back to reference Dreiss SJ (1983) Linear unit-response functions as indicators of recharge areas for large karst springs. J Hydrol 61:31–44CrossRef Dreiss SJ (1983) Linear unit-response functions as indicators of recharge areas for large karst springs. J Hydrol 61:31–44CrossRef
go back to reference Estrela T, Sahuquillo A (1997) Modeling the response of a karstic spring at Arteta aquifer in Spain. Ground Water 35(1):18–24CrossRef Estrela T, Sahuquillo A (1997) Modeling the response of a karstic spring at Arteta aquifer in Spain. Ground Water 35(1):18–24CrossRef
go back to reference Faruk DO (2010) A hybrid neural network and ARIMA model for water quality time series prediction. Eng Appl Artif Intell 23(2010):586–594CrossRef Faruk DO (2010) A hybrid neural network and ARIMA model for water quality time series prediction. Eng Appl Artif Intell 23(2010):586–594CrossRef
go back to reference Fiorillo F (2009) Spring hydrographs as indicators of droughts in a karst environment. J Hydrol 373:290–301CrossRef Fiorillo F (2009) Spring hydrographs as indicators of droughts in a karst environment. J Hydrol 373:290–301CrossRef
go back to reference Fleury P, Ladouche B, Conroux Y, Jourde H, Dörfliger N (2009) Modelling the hydrologic functions of a karst aquifer under active water management—the Lezspring. J Hydrol 365:235–243CrossRef Fleury P, Ladouche B, Conroux Y, Jourde H, Dörfliger N (2009) Modelling the hydrologic functions of a karst aquifer under active water management—the Lezspring. J Hydrol 365:235–243CrossRef
go back to reference Ford DC, Williams PW (1989) Karst geomorphology and hydrology. Academic Division of Unwin Hyman Ltd, London, p 601CrossRef Ford DC, Williams PW (1989) Karst geomorphology and hydrology. Academic Division of Unwin Hyman Ltd, London, p 601CrossRef
go back to reference Ford DC, Williams P (2007) Karst hydrogeology and geomorphology. Wiley, Chichester, p 562CrossRef Ford DC, Williams P (2007) Karst hydrogeology and geomorphology. Wiley, Chichester, p 562CrossRef
go back to reference Goff JA, Jennings Jr JW (1999) Improvement of Fourier-based unconditional and conditional simulations for band-limited fractal (von Kármán) statistical models. Math Geol 31:627–649CrossRef Goff JA, Jennings Jr JW (1999) Improvement of Fourier-based unconditional and conditional simulations for band-limited fractal (von Kármán) statistical models. Math Geol 31:627–649CrossRef
go back to reference Goldscheider N, Drew D (2007) Methods in karst hydrogeology. Taylor & Francis Group, London, p 263 Goldscheider N, Drew D (2007) Methods in karst hydrogeology. Taylor & Francis Group, London, p 263
go back to reference Goovaerts P (2001) Geostatistical modelling of uncertainty in soil science. Geoderma 103(1–2):3–26CrossRef Goovaerts P (2001) Geostatistical modelling of uncertainty in soil science. Geoderma 103(1–2):3–26CrossRef
go back to reference Guha H (2008) A stochastic modeling approach to address hydrogeologic uncertainties in modeling wellhead protection boundaries in karst aquifers. J Am Water Resour Assoc 44(3):654–662CrossRef Guha H (2008) A stochastic modeling approach to address hydrogeologic uncertainties in modeling wellhead protection boundaries in karst aquifers. J Am Water Resour Assoc 44(3):654–662CrossRef
go back to reference Gunn J (1986) A conceptual model for conduit flow dominated karst aquifers. In: Giinay G, Johnson AI (eds) Karst water resources. Proceedings of the Ankara symposium, July 1985, pp 587–596 (IAHS publication no. 161) Gunn J (1986) A conceptual model for conduit flow dominated karst aquifers. In: Giinay G, Johnson AI (eds) Karst water resources. Proceedings of the Ankara symposium, July 1985, pp 587–596 (IAHS publication no. 161)
go back to reference Halihan T, Wicks CM (1998) Modeling storm responses in conduit flow aquifers with reservoirs. J Hydrol 208(1998):82–91CrossRef Halihan T, Wicks CM (1998) Modeling storm responses in conduit flow aquifers with reservoirs. J Hydrol 208(1998):82–91CrossRef
go back to reference Hartmann A, Kralik M, Humer F, Lange J, Weiler M (2012) Identification of a karst system’s intrinsic hydrodynamic parameters: upscaling from single springs to the whole aquifer. Environ Earth Sci 65:2377–2389CrossRef Hartmann A, Kralik M, Humer F, Lange J, Weiler M (2012) Identification of a karst system’s intrinsic hydrodynamic parameters: upscaling from single springs to the whole aquifer. Environ Earth Sci 65:2377–2389CrossRef
go back to reference Hartmann A, Barbera JA, Lange J, Andreo B, Weiler M (2013) Progress in the hydrologic simulation of time variant recharge areas of karst systems—exemplified at a karst spring in Southern Spain. Adv Water Resour 54:149–160CrossRef Hartmann A, Barbera JA, Lange J, Andreo B, Weiler M (2013) Progress in the hydrologic simulation of time variant recharge areas of karst systems—exemplified at a karst spring in Southern Spain. Adv Water Resour 54:149–160CrossRef
go back to reference Hipel KW, McLeod AI (1994) Time series modelling of water resources and environmental systems, Elsevier, Amsterdam, ISBN 0-444-89270-2 Hipel KW, McLeod AI (1994) Time series modelling of water resources and environmental systems, Elsevier, Amsterdam, ISBN 0-444-89270-2
go back to reference Jang CS, Liu CW (2004) Geostatistical analysis and conditional simulation for estimating the spatial variability of hydraulic conductivity in the Choushui river alluvial fan, Taiwan. Hydrol Process 18:1333–1350CrossRef Jang CS, Liu CW (2004) Geostatistical analysis and conditional simulation for estimating the spatial variability of hydraulic conductivity in the Choushui river alluvial fan, Taiwan. Hydrol Process 18:1333–1350CrossRef
go back to reference Jaquet O, Siegel P, Klubertanz G, Benabderrhamane H (2004) Stochastic discrete model of karstic networks. Adv Water Resour 27:751–760CrossRef Jaquet O, Siegel P, Klubertanz G, Benabderrhamane H (2004) Stochastic discrete model of karstic networks. Adv Water Resour 27:751–760CrossRef
go back to reference Jeannin P-Y (2001) Modeling flow in phreatic and epiphreatic karst conduits in the Holloch cave (Muotatal, Switzerland). Water Resour Res 37(2):191–200CrossRef Jeannin P-Y (2001) Modeling flow in phreatic and epiphreatic karst conduits in the Holloch cave (Muotatal, Switzerland). Water Resour Res 37(2):191–200CrossRef
go back to reference Jeannin P-Y, Grasso DA (1997) Permeability and hydrodynamic behavior of a karstic environment. In: Gunay G, Johnson AI (eds) Karst waters and environmental impacts. Proceedings of 5th international symposium on karst waters and environmental impacts, Antalya, 10–20 September 1995, pp 335–342 Jeannin P-Y, Grasso DA (1997) Permeability and hydrodynamic behavior of a karstic environment. In: Gunay G, Johnson AI (eds) Karst waters and environmental impacts. Proceedings of 5th international symposium on karst waters and environmental impacts, Antalya, 10–20 September 1995, pp 335–342
go back to reference Journel A (1974) Geostatistics for conditional simulation of ore bodies. Econ Geol 69:673–687CrossRef Journel A (1974) Geostatistics for conditional simulation of ore bodies. Econ Geol 69:673–687CrossRef
go back to reference Journel AG, Huijbregts CJ (1978) Mining geostatistics. Academic Press, New York, p 600 Journel AG, Huijbregts CJ (1978) Mining geostatistics. Academic Press, New York, p 600
go back to reference Journel AG, Isaaks EH (1984) Conditional indicator simulation: application to a Saskatchewan uranium deposit. Math Geol 16(7):685–718CrossRef Journel AG, Isaaks EH (1984) Conditional indicator simulation: application to a Saskatchewan uranium deposit. Math Geol 16(7):685–718CrossRef
go back to reference Karimi H, Raeisi E, Bakalowicz M (2005) Characterising the main karst aquifers of the Alvand basin, northwest of Zagros, Iran, by a hydrogeochemical approach. Hydrogeol J 13(5–6):787–799CrossRef Karimi H, Raeisi E, Bakalowicz M (2005) Characterising the main karst aquifers of the Alvand basin, northwest of Zagros, Iran, by a hydrogeochemical approach. Hydrogeol J 13(5–6):787–799CrossRef
go back to reference Kazemi SM, Hosseini SM (2011) Comparison of spatial interpolation methods for estimating heavy metals in sediments of Caspian Sea. Expert Syst Appl 38:1632–1649CrossRef Kazemi SM, Hosseini SM (2011) Comparison of spatial interpolation methods for estimating heavy metals in sediments of Caspian Sea. Expert Syst Appl 38:1632–1649CrossRef
go back to reference Kelkar M, Perez G (2002) Applied geostatistics for reservoir characterization. Society of Petroleum Engineers, Richardson, p 264 Kelkar M, Perez G (2002) Applied geostatistics for reservoir characterization. Society of Petroleum Engineers, Richardson, p 264
go back to reference Kiraly L (1988) Large scale 3-D groundwater flow modeling in highly heterogeneous geologic medium. In: Custudio CE et al (eds) Groundwater flow and quality modeling. NATO-ASI series, pp 763–774. Reidel, The Netherlands Kiraly L (1988) Large scale 3-D groundwater flow modeling in highly heterogeneous geologic medium. In: Custudio CE et al (eds) Groundwater flow and quality modeling. NATO-ASI series, pp 763–774. Reidel, The Netherlands
go back to reference Kovács A (2003) Estimation of conduit network geometry of a karst aquifer by the means of groundwater flow modeling (Bure, Switzerland). Bol Geol Min 114(2):183–192 Kovács A (2003) Estimation of conduit network geometry of a karst aquifer by the means of groundwater flow modeling (Bure, Switzerland). Bol Geol Min 114(2):183–192
go back to reference Kovács A, Perrochet P, Király L, Jeannin PY (2005) A quantitative method for the characterisation of karst aquifers based on spring hydrograph analysis. J Hydrol 303:152–164CrossRef Kovács A, Perrochet P, Király L, Jeannin PY (2005) A quantitative method for the characterisation of karst aquifers based on spring hydrograph analysis. J Hydrol 303:152–164CrossRef
go back to reference Kyriakidis PC, Journel AG (2001) Stochastic modeling of atmospheric pollution: a spatial time-series framework: part I. Methodology. Atmos Environ 35:2331–2337CrossRef Kyriakidis PC, Journel AG (2001) Stochastic modeling of atmospheric pollution: a spatial time-series framework: part I. Methodology. Atmos Environ 35:2331–2337CrossRef
go back to reference Labat D, Ababou R, Mangin A (2000) Rainfall-runoff relations for karstic springs. Part I: convolution and spectral analyses. J Hydrol 238:123–148CrossRef Labat D, Ababou R, Mangin A (2000) Rainfall-runoff relations for karstic springs. Part I: convolution and spectral analyses. J Hydrol 238:123–148CrossRef
go back to reference Lantuejoul C (2002) Geostatistical simulation: models and algorithms. Springer-Verlag, Berlin, p 256 (printed in Germany)CrossRef Lantuejoul C (2002) Geostatistical simulation: models and algorithms. Springer-Verlag, Berlin, p 256 (printed in Germany)CrossRef
go back to reference Li Zh, Zhang YK, Schilling K, Skopec M (2006) Cokriging estimation of daily suspended sediment loads. J Hydrol 327:389–398CrossRef Li Zh, Zhang YK, Schilling K, Skopec M (2006) Cokriging estimation of daily suspended sediment loads. J Hydrol 327:389–398CrossRef
go back to reference Maillet E (1905) Essaisd’hydraulique Souterraineet Fluviale. Hermann, Paris, p 218 Maillet E (1905) Essaisd’hydraulique Souterraineet Fluviale. Hermann, Paris, p 218
go back to reference Manakos A (1999) Hydrogeological behavior and stochastic simulation of Krania Elassona karstic aquifer Thessaly. PhD thesis, Aristotle University of Thessaloniki, p 214 (in Greek) Manakos A (1999) Hydrogeological behavior and stochastic simulation of Krania Elassona karstic aquifer Thessaly. PhD thesis, Aristotle University of Thessaloniki, p 214 (in Greek)
go back to reference Manakos A, Dimopoulos G (2004) Contribution of stochastic models to the sustainable water management. The example of Krania Elassona karstic aquifer in Thessaly. In: Proceedings of the 10th international conference of Greek Geological Society, 15–17 April 2004, Thessaloniki, pp 361–368 (in Greek) Manakos A, Dimopoulos G (2004) Contribution of stochastic models to the sustainable water management. The example of Krania Elassona karstic aquifer in Thessaly. In: Proceedings of the 10th international conference of Greek Geological Society, 15–17 April 2004, Thessaloniki, pp 361–368 (in Greek)
go back to reference Manakos A, Georgiou P (2009) Time series modeling of groundwater head using seasonal stochastic models SARIMA. In: Proceedings of the common conference of the 11th Hellenic Hydrotechnical Society and of the 7th conference of the Hellenic Committee of Water Management, 27–30 May 2009, Volos, pp 709–716 (in Greek) Manakos A, Georgiou P (2009) Time series modeling of groundwater head using seasonal stochastic models SARIMA. In: Proceedings of the common conference of the 11th Hellenic Hydrotechnical Society and of the 7th conference of the Hellenic Committee of Water Management, 27–30 May 2009, Volos, pp 709–716 (in Greek)
go back to reference Mangin A (1974) Contribution a l’etude hydrodynamique des aquiferes karstiques (contribution the hydrodynamics of karst aquifers). Ann Speleol 29(3):283–332 (29(4):495–601; 30(1):21–124) Mangin A (1974) Contribution a l’etude hydrodynamique des aquiferes karstiques (contribution the hydrodynamics of karst aquifers). Ann Speleol 29(3):283–332 (29(4):495–601; 30(1):21–124)
go back to reference Mangin A (1994) Karst hydrogeology. In: Stanford J, Gibert J, Danielopol D (eds) Groundwater ecology. Academic Press, London, pp 43–67CrossRef Mangin A (1994) Karst hydrogeology. In: Stanford J, Gibert J, Danielopol D (eds) Groundwater ecology. Academic Press, London, pp 43–67CrossRef
go back to reference Massaad E, Bakalowicz M (2007) Significance and origin of very large regulating power of some karst aquifers in the Middle East. Implication on karst aquifer classification. J Hydrol 333(2–4):329–339CrossRef Massaad E, Bakalowicz M (2007) Significance and origin of very large regulating power of some karst aquifers in the Middle East. Implication on karst aquifer classification. J Hydrol 333(2–4):329–339CrossRef
go back to reference Milanovic P (1981) Karst hydrogeology. Water Resources Publications, Littleton Milanovic P (1981) Karst hydrogeology. Water Resources Publications, Littleton
go back to reference Mishra AK, Desai VR (2005) Drought forecasting using stochastic models. Stoch Environ Res Risk Assess 19:326–339CrossRef Mishra AK, Desai VR (2005) Drought forecasting using stochastic models. Stoch Environ Res Risk Assess 19:326–339CrossRef
go back to reference Mishra Ashok K, Singh Vijay P (2012) Simulating hydrological drought properties at different spatial units in the United States based on wavelet—Bayesian regression approach. Earth Interact 16:1–23CrossRef Mishra Ashok K, Singh Vijay P (2012) Simulating hydrological drought properties at different spatial units in the United States based on wavelet—Bayesian regression approach. Earth Interact 16:1–23CrossRef
go back to reference Mohajjel M, Fergusson CL, Sahandi MR (2003) Cretaceous-tertiary convergence and continental collision, Sanandaj-Sirjan Zone, western Iran. J Asian Earth Sci 21:397–412CrossRef Mohajjel M, Fergusson CL, Sahandi MR (2003) Cretaceous-tertiary convergence and continental collision, Sanandaj-Sirjan Zone, western Iran. J Asian Earth Sci 21:397–412CrossRef
go back to reference Mohan S, Vedula S (1995) Multiplicative seasonal ARIMA model for longterm forecasting of inflows. Water Res Manag 9:115–126CrossRef Mohan S, Vedula S (1995) Multiplicative seasonal ARIMA model for longterm forecasting of inflows. Water Res Manag 9:115–126CrossRef
go back to reference Molnar M (2006) Tertiary development of the Zagros Mountains. Geol 418—Earth history 10/9/06 Molnar M (2006) Tertiary development of the Zagros Mountains. Geol 418—Earth history 10/9/06
go back to reference Moussu F, Oudin L, Plagnes V, Mangin A, Bendjoudi H (2011) A multi-objective calibration framework for rainfall–discharge models applied to karst systems. J Hydrol 400:364–376CrossRef Moussu F, Oudin L, Plagnes V, Mangin A, Bendjoudi H (2011) A multi-objective calibration framework for rainfall–discharge models applied to karst systems. J Hydrol 400:364–376CrossRef
go back to reference Padilla A, Pulido-Bosch A (1995) Study of hydrographs of karstic aquifers by means of correlation and cross-spectral analysis. J Hydrol 168:73–89CrossRef Padilla A, Pulido-Bosch A (1995) Study of hydrographs of karstic aquifers by means of correlation and cross-spectral analysis. J Hydrol 168:73–89CrossRef
go back to reference Padilla A, Pulido-Bosch A (2008) Simple procedure to simulate karstic aquifers. Hydrol Process 22(12):1876–1884CrossRef Padilla A, Pulido-Bosch A (2008) Simple procedure to simulate karstic aquifers. Hydrol Process 22(12):1876–1884CrossRef
go back to reference Padilla A, Pulido-Bosch A, Calvache ML, Vallejos A (1996) The ARMA models applied to the flow of karstic springs. Water Resour Bull 32(5):917–928CrossRef Padilla A, Pulido-Bosch A, Calvache ML, Vallejos A (1996) The ARMA models applied to the flow of karstic springs. Water Resour Bull 32(5):917–928CrossRef
go back to reference Perrin J (2003) A conceptual model of flow and transport in a karst aquifer based on spatial and temporal variations of natural tracers. PhD thesis, Université de Neuchâtel, Neuchâtel, p 188 Perrin J (2003) A conceptual model of flow and transport in a karst aquifer based on spatial and temporal variations of natural tracers. PhD thesis, Université de Neuchâtel, Neuchâtel, p 188
go back to reference Pinault JL, Pauwels H, Cann C (2001) Inverse modelling of the hydrological and the hydrochemical behaviour of hydrosystems: application to nitrate transport and denitrification. Water Resour Res 37(8):2179–2190 (Academic Press, New York)CrossRef Pinault JL, Pauwels H, Cann C (2001) Inverse modelling of the hydrological and the hydrochemical behaviour of hydrosystems: application to nitrate transport and denitrification. Water Resour Res 37(8):2179–2190 (Academic Press, New York)CrossRef
go back to reference Quinlan JF, Davies GJ, Jones SW, Huntoon PW (1996) The application of numerical models to adequately characterize ground-water flow in karstic and other triple-porosity aquifers. In: Ritchy JD, Rumbaugh JO (eds) Subsurface fluid-flow modeling, ASTM STP 1288. American Society for Testing and Materials (ASTM), West Conshohocken, pp 114–133 Quinlan JF, Davies GJ, Jones SW, Huntoon PW (1996) The application of numerical models to adequately characterize ground-water flow in karstic and other triple-porosity aquifers. In: Ritchy JD, Rumbaugh JO (eds) Subsurface fluid-flow modeling, ASTM STP 1288. American Society for Testing and Materials (ASTM), West Conshohocken, pp 114–133
go back to reference Quinn JJ, Tomasko D, Kuiper JA (2006) Modeling complex flow in a karst aquifer. Sed Geol 184:343–351CrossRef Quinn JJ, Tomasko D, Kuiper JA (2006) Modeling complex flow in a karst aquifer. Sed Geol 184:343–351CrossRef
go back to reference Remy N (2004) S-Gems: Geostatistical earth modeling software: user’s manual. Stanford University, Stanford, CA Remy N (2004) S-Gems: Geostatistical earth modeling software: user’s manual. Stanford University, Stanford, CA
go back to reference Rouhani S, Myers DE (1990) Problems in space–time kriging of geohydrological data. Math Geol 22:623–661CrossRef Rouhani S, Myers DE (1990) Problems in space–time kriging of geohydrological data. Math Geol 22:623–661CrossRef
go back to reference Salas JD, Obeysekera JTB (1982) ARMA model identification of hydrologic time series. Water Resour Res 18(4):1011–1021CrossRef Salas JD, Obeysekera JTB (1982) ARMA model identification of hydrologic time series. Water Resour Res 18(4):1011–1021CrossRef
go back to reference Sidler R (2003) Kriging and conditional geostatistical simulation based on scale-invariant covariance models. Diploma thesis of Institute of Geophysics Department of Earth Science, 20 October 2003 Sidler R (2003) Kriging and conditional geostatistical simulation based on scale-invariant covariance models. Diploma thesis of Institute of Geophysics Department of Earth Science, 20 October 2003
go back to reference Siou LKA, Johannet A, Borrell V, Pistre S (2011) Complexity selection of a neural network model for karst flood forecasting: the case of the Lez Basin (Southern France). J Hydrol 403:367–380CrossRef Siou LKA, Johannet A, Borrell V, Pistre S (2011) Complexity selection of a neural network model for karst flood forecasting: the case of the Lez Basin (Southern France). J Hydrol 403:367–380CrossRef
go back to reference Snepvangers JJJC, Heuvelink GBM, Huisman JA (2003) Soil water content interpolation using spatio-temporal kriging with external drift. Geoderma 112:253–271CrossRef Snepvangers JJJC, Heuvelink GBM, Huisman JA (2003) Soil water content interpolation using spatio-temporal kriging with external drift. Geoderma 112:253–271CrossRef
go back to reference Srivastava RM (1994) An overview of stochastic methods for reservoir characterization. In: Yarus J, Chambers R (eds) Stochastic modeling and geostatistics: principles, methods and case studies. Computer applications, vol 3, pp 3–16. American Association of Petroleum Geologists, Tulsa Srivastava RM (1994) An overview of stochastic methods for reservoir characterization. In: Yarus J, Chambers R (eds) Stochastic modeling and geostatistics: principles, methods and case studies. Computer applications, vol 3, pp 3–16. American Association of Petroleum Geologists, Tulsa
go back to reference Teutsch G (1989) Groundwater models in karstified terraines—two practical examples from the Swabian Alb, S. Germany. In: Proceedings of the 4th conference on solving groundwater problems with models, Indianapolis, pp 929–953 Teutsch G (1989) Groundwater models in karstified terraines—two practical examples from the Swabian Alb, S. Germany. In: Proceedings of the 4th conference on solving groundwater problems with models, Indianapolis, pp 929–953
go back to reference Tritz S, Guinot V, Jourde H (2011) Modelling the behavior of a karst system catchment using non-linear hysteretic conceptual model. J Hydrol 397:250–262CrossRef Tritz S, Guinot V, Jourde H (2011) Modelling the behavior of a karst system catchment using non-linear hysteretic conceptual model. J Hydrol 397:250–262CrossRef
go back to reference Valenzuela O, Rojas I, Rojas F, Pomares H, Herrera LJ, Guillen A, Marquez L, Pasadas M (2008) Hybridization of intelligent techniques and ARIMA models for time series prediction. Fuzzy Sets Syst 159:821–845CrossRef Valenzuela O, Rojas I, Rojas F, Pomares H, Herrera LJ, Guillen A, Marquez L, Pasadas M (2008) Hybridization of intelligent techniques and ARIMA models for time series prediction. Fuzzy Sets Syst 159:821–845CrossRef
go back to reference Wei WWS (1990) Time series analysis. Addison-Wesley Publishing Company Inc., New York Wei WWS (1990) Time series analysis. Addison-Wesley Publishing Company Inc., New York
go back to reference White WB (1988) Geomorphology and hydrology of karst terrains. Oxford University Press, New York White WB (1988) Geomorphology and hydrology of karst terrains. Oxford University Press, New York
go back to reference Wicks CM, Hoke JA (1999) Linear systems approach to modeling ground water flow and solute transport through karstic basins. In: Palmer AN, Palmer MV, Sasowsky ID (eds) Karst modeling. Karst Waters Institute Special Publication #5, pp 97–101 Wicks CM, Hoke JA (1999) Linear systems approach to modeling ground water flow and solute transport through karstic basins. In: Palmer AN, Palmer MV, Sasowsky ID (eds) Karst modeling. Karst Waters Institute Special Publication #5, pp 97–101
Metadata
Title
Monthly karstic spring flow forecasting using a sequential gaussian simulation technique
Authors
Seiyed Mossa Hosseini
Najmeh Mahjouri
Sajjad Bagheri
Publication date
01-11-2014
Publisher
Springer Berlin Heidelberg
Published in
Environmental Earth Sciences / Issue 9/2014
Print ISSN: 1866-6280
Electronic ISSN: 1866-6299
DOI
https://doi.org/10.1007/s12665-014-3262-1

Other articles of this Issue 9/2014

Environmental Earth Sciences 9/2014 Go to the issue