Abstract
Stochastic hydrology can be a powerful instrument to quantify uncertainty in complicated geological structures, since numerical models must accommodate high levels of material heterogeneity. The possibility to provide for the behavior of groundwater systems under specific conditions, thanks to a realistic representation of the hydraulic properties and geometries in a mathematical model, is the basis for a conscious management of engineering, economic, social and political problems which are typical of remediation actions. The composite media theory which allows the estimation of the spatial distribution of multiple materials, even when the medium is highly heterogeneous, is presented. The probabilistic reconstruction of boundaries between geologic facies is applied to the mathematical model of the contaminated aquifer involved by the industrial site of the city of Naples. Sedimentologic information led to the identification of different types of geomaterials, whose spatial variability is analyzed through the indexed variables approach. The hydraulic conductivity distribution is then estimated through a geostatistical analysis, and the values are calibrated as a function of the observed hydraulic heads. The realistic reconstruction of the morphology and the hydrodynamic characteristics of a polluted site within a modeling tool, gives a fundamental help to design efficient remediation processes, without causing unacceptable perturbation of the natural conditions of the sites and excessive costs.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Aboufirassi M, Marino MA (1984) Cokriging of aquifer transmissivities from field measurements of transmissivity and specific capacity. J Int Assoc Math Geol 16(1):19–35
Ahmed S, de Marsily G (1987) Comparison of geostatistical methods for estimating transmissivity using data on transmissivity and specific capacity. Water Resour Res 23(9):1717–1737
Ahmed S, de Marsily G (1988) Combined use of hydraulic and electrical properties of an aquifer in a geostatistical estimation of transmissivity. Ground Water 26(1):78–86
Ahmed S, de Marsily G (1993) Co-kriged estimation of aquifer transmissivity as an indirect solution of inverse problem: a practical approach. Water Resour Res 29(2):521–530
Allocca V, Celico P (2004) Risorse termali e minerali della provincia di Napoli. Assessorato Industria, Energia, Miniere e Risorse Geotermiche, Provincia di Napoli
Allocca V, Celico P (2004) Carta idrogeologica della provincia di Napoli (scala 1: 50.000). Assessorato Industria, Energia, Miniere e Risorse Geotermiche, Provincia di Napoli
Allocca V, Celico P (2008) Scenari idrodinamici nella piana ad Oriente di Napoli (Italia), nell’ultimo secolo: cause e problematiche idrogeologiche connesse. Giornale di Geologia applicata 9(2):175–198
Bellucci F, Corniello A, de Riso R, Russo D (1990) Idrogeologia della piana a N-E di Napoli. Mem Soc Geol It 45:339–349
Carrera J,·Alcolea A,·Medina A, Hidalgo J,·Slooten LJ (2005) Inverse problem in hydrogeology. Hydrogeol J 13:206–222
Celico F, Celico P, Esposito L, Guadagno FM, Habetswallner F and Mele R (1995) Sull’evoluzione idrogeologica dell’area del Sebeto (Campania). In: Proceedings of the I° national conference of applied geology, Taormina (Italy), Vol. 30
Celico F, Esposito L, Mancuso M (2001) Complessità idrodinamica e idrochimica dell’area urbana di Napoli: scenari interpretativi. Geologia Tecnica & Ambientale 2
Celico F, Petrella E, Celico P (2006) Hydrogeological behavior of some fault zones in a carbonate aquifer of Southern Italy: an experimentally-based model. Terra Nova 18:308–313
Celico P (1983) Idrogeologia dei massicci carbonatici, delle piane quaternarie e delle aree vulcaniche dell’Italia centro-meridionale (Marche e Lazio meridionali, Abruzzo, Molise e Campania). Quaderni della Cassa per il Mezzogiorno 4(2):1–225
Celico P (1990) Brevi considerazioni sulle possibili cause dell’aumento del tenore in nitrati, ferro e manganese nella falda di Lufrano. L’Appennino Meridionale, Napoli
Celico P, De Paola P (1992) La falda dell’area napoletana: ipotesi sui meccanismi naturali di protezione e sulle modalità di inquinamento - Studi e Ricerche. Atti Giorn. di Studio: “Acque per uso potabile”. Proposta per la tutela ed il controllo della qualità, 387C-412C
Celico P, Esposito L, De Gennaro A, Mastrangelo E (1994) La falda ad Oriente della città di Napoli: idrodinamica e qualità delle acque. Geologica Romana, Vol. 30, 653–660
Celico P, Esposito L, Guadagno GM (1997) Sulla qualità delle acque sotterranee nell’acquifero del settore orientale della Piana Campana. Geologia Tecnica e Ambientale, 4/97
Certes C, de Marsily G (1991) Application of the pilot point method to the identification of aquifer transmissivity. Adv Water Resour 14(5):284–300
Chiles JP, Delfiner P (1999) Geostatistics: modeling spatial uncertainty. Wiley, New York, p 695
Civita M, de Medici GB, de Riso R, Nicotera P and d’Elogio EN (1973) Carta idrogeologica della Campania Nord-Occidentale - Memoria descrittiva. In: Proceedings of the II groundwater internazional conference, Palermo (Italy), I.A.H.
Corniello A, Ducci D (2002) Hazardous piezometric levels rising in Naples urban area (Italy) as a consequence of overexploitation reduction. In: Proceedings of the SINEX, symposium of intensive use of groundwater, Valencia (Spain), December, 1–10
Corniello A, de Riso R, Ducci D (1990) Idrogeologia e idrogeochimica della Piana Campana. Mem Soc Geol It 45
Corniello A, Ducci D, Catapano O, Monti GM (2003) Variazioni piezometriche nella zona orientale della città di Napoli. Quaderni di Geologia Applicata 10(2):43–57
Delbari M, Amiri M, Motlagh MB (2014) Assessing groundwater quality for irrigation using indicator kriging method. Appl Water Sci 9. https://doi.org/10.1007/s13201-014-0230-6
Delhomme JP (1976) Application de la théorie des variables régionalisées dans les sciences de l’eau [Application of the theory of regionalized variables to water sciences]. Doctoral thesis, University Paris VI
Delhomme JP (1978) Kriging in hydrosciences. Adv Water Resour 1(5):251–266
Delhomme JP (1979) Spatial variability and uncertainty in groundwater flow parameters: a geostatistical approach. Water Resour Res 15(2):269–280
de Marsily G (1978) De l’identification des systémes hydrologiques [On the calibration of hydrologic systems]. Doctoral thesis, University Paris VI
de Marsily G (1986) Quantitative hydrogeology. In: Groundwater hydrology for engineers. Academic, New York, pp 440
de Marsily G, Delhomme JP, Coudrain-Ribstein A, Lavenue AM (2000) Four decades of inverse problems in hydrogeology. In: Zhang D, Winter CL (eds) Theory, modeling, and field investigation in hydrogeology. Geol Soc America Special Paper 348:1–17
de Marsily G,·Delay F, Gonçalvés J, Renard P, Teles V, Violette S (2005) Dealing with spatial heterogeneity. Hydrogeol J 13:161–183
Deutsch CV, Journel AG (1998) GSLIB. Oxford, Oxford University Press, Geostatistical Software Library and User’s Guide
Doherty J (2006) PEST Model-Independent Parameter Estimation, V10.1, Bethesda, Papadopulos. S. S., Inc., Md., (Available at http://www.sspa.com/pest/)
Ducci D, Condesso de Melo MT, Preziosi E, Sellerino M, Parrone D, Ribeiro L (2016) Combining natural background levels (NBLs) assessment with indicator kriging analysis to improve groundwater quality data interpretation and management. Sci Total Environ 569–570:569–584
Esposito L (1998) Nuove conoscenze sulle caratteristiche idrogeochimiche della falda ad Oriente della città di Napoli (Campania). Quaderni di Geologia Applicata, Pitagora Editrice,5-1/98
Esposito L, Piscopo V (1997) Groundwater flow evolution in the circumVesuvian plain, Italy. British Committée XXVII Congress. Nottingham, 21–27 September. In “Groundwater in the Urban Environment, Vol. I, Nottingham, IAH, Edited by John Chilton
Fiorelli T (1926) Cenni sull’andamento della falda acquifera nel sottosuolo della zona tra Napoli e Somigliano d’Arco in relazione alla costituzione geologica e la topografia e idrologia superficiale del territorio medesimo. Annuali del genio Civile, VII
Freeze RA (1975) A stochastic-conceptual analysis of one-dimensional groundwater flow in non-uniform homogeneous media. Water Resour Res 11(5):725–741
Gelhar LW (1976) Effects of hydraulic conductivity variation on groundwater flow. In: Second international symposium on stochastic hydraulics, International Association for Hydraulic Research, Lund, Sweden
Guadagnini A, Neuman SP (1999) Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly nonuniform domains. 1 Computational examples. Water Resources Res 35:3019–3040
Guadagnini L, Guadagnini A, Tartakovsky DM (2004) Probabilistic reconstruction of geologic facies. J Hydrol 294:57–67
Hill MC, Banta ER, Harbaugh AW, Anderman ER (2000) MODFLOW-2000, the U.S. Geological Survey modular groundwater model—User guide to the observation, sensitivity, and parameter estimation processes and three post-processing programs. U.S. Geol. Surv. Open File Rep., 00–184, pp 209
Kashyap RL (1982) Optimal choice of AR and MA parts in autoregressive moving average models. IEEE Trans Pattern Anal Mach Intel 4(2):99–104
Journel AG (1983) Nonparametric estimation of spatial distribution. Math Geol 15(3):445–468
Journel AG, Alabert FG (1990) New method for reservoir mapping. J Pet Technol February 42(2):212–218
Journel AG, Gomez-Hernandez J (1993) Stochatic imaging of the Wilmington clastic sequence. Soc Pet Eng Form Eval March 8(1):33–40
Journel AG, Isaaks EK (1984) Conditional indicator simulation: application to a Saskatcheouan uranium deposit. Math Geol 16(7):685–718
Lavenue AM, Ramarao BS, de Marsily G, Marietta MG (1995) Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields: part 2: application. Water Resour Res 31(3):495–516
Lavenue MA, de Marsily G (2001) Three-dimensional interference test interpretation in a fractured/unfractured aquifer using the pilot point inverse method. Water Resour Res 37(11):2659–2675
Marzano V (2001) Applicazione e confronto dei metodi SINTACS e TOT per la valutazione della vulnerabilità all’inquinamento dell’acquifero piroclastico nel settore sud-orientale della Piana Campana. Experimental thesis, Università degli Studi di Napoli Federico II
Matheron G (1963) Principles of geostatistics. Econ Geol 58:1246–1266
Matheron G (1965) Les variables r_gionalis_es et leur estimation [Regionalized variables and their estimation]. Masson, Paris, p 185
Medina-Ortega P, Morales-Casique E, Hernández-Espriú A (2019) Sequential indicator simulation for a three-dimensional distribution of hydrofacies in a volcano-sedimentary aquifer in Mexico City. Hydrogeol J 27:2581–2593
Mohammadpour M, Bahroudi A, Abedi M, Rahimipour G, Jozanikohan G, Khalifani FM (2019) Geochemical distribution mapping by combining number-size multifractal model and multiple indicator kriging. J Geochem Explor 200:13–26
North-Western Basin Authority of the Campania Region (2004) Il contributo al Piano di Tutela delle Acque della Regione Campania. Voll. 1, 2, 3, Naples
Paoletti (2009) Il bilancio idrologico, studio di fattibilità per la realizzazione degli interventi di messa in sicurezza di emergenza della falda acquifera, Ministero dell’Ambiente della Tutela del Territorio e del Mare, SOGESID
Piscopo V, Baiocchi A, Fantucci R, Lotti F (2005) La risposta al pompaggio di acquiferi vulcanici: alcuni esempi delle aree napoletane e viterbese. Italian J Eng Geol Environ 1:21–35
Ramarao BS, Lavenue AM, de Marsily G, Marietta MG (1995) Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields: part 1—theory and computational experiments. Water Resour Res 31:3475–3493
Raoult Y (1999) La nappe de l’Albien dans le bassin de Paris: de nouvelles idées pour de vieilles eaux [The Albian aquifer in the Paris basin: new ideas for old waters]). Doctoral thesis, University Pierre et Marie Curie, Paris VI, pp 170
Rivoirard J (2000) Cours de géostatistique multivariable [Lecture notes for multivariate geosatistics]. Note C-172, Ecole des Mines de Paris, Centre de Géostatistique, Fontainebleau
Roth C, Chilés JP, de Fouquet C (1998) Combining geostatistics and flow simulators to identify transmissivity. Adv Water Resour 21:555–565
Sakata Y, Katsura T, Nagano K (2020) Estimation of ground thermal conductivity through indicator kriging: nation-scale application and vertical profile analysis in Japan. Geothermics 88:101881
Smith L, Freeze RA (1979) Stochastic analysis of steady state groundwater flow in a bounded domain. 1. One-dimensional simulations. 2. Two-dimensional simulations. Water Resour Res 15(3):521–528 and 15(6):1543–1559
Straface S, Rizzo E, Chidichimo F (2010) Estimation of water table map and hydraulic conductivity in a large-scale model by means of the SP method. J Geophys Res 115. https://doi.org/10.1029/2009JB007053
Straface S, Chidichimo F, Rizzo E, Riva M, Barrash W, Revil A, Cardiff M, Guadagnini A (2011) Joint inversion of steady-state hydrologic and self-potential data for 3D hydraulic conductivity distribution at the Boise hydrogeophysical research site. J Hydrol 407:115–128
Tedeschi C (1974) Ravvenamento di pozzi artesiani e nuova trivellazione profonda per la Centrale Termoelettrica di Napoli Levante. Rivista Italiana di Geotecnica 8(4):221–231
Viparelli C (1967) Le acque sotterranee. In: Proceedings of the VIII Convegno di Geotecnica, Cagliari, ESI- Edizione Scientifiche Italiane
Viparelli M (1978) Le acque sotterranee ad oriente di Napoli. Fondazione Politecnica per il Mezzogiorno d’Italia, Napoli, p 111
Winter CL, Tartakovsky DM (2000) Mean flow in composite porous media. Geophys Res Lett 27:1759–1762
Winter CL, Tartakovsky DM (2002) Groundwater flow in heterogeneous composite aquifers. Water Resources Res 38(8). https://doi.org/10.1029/2001WR000450
Zheng C (1990) MT3D, A modular three-dimensional transport model for simulation of advection, dispersion and chemical reactions of contaminants in groundwater systems. Report, Rockville, Maryland: S.S. Papadopulos & Associates
Zimmerman DA, de Marsily G, Gotaway CA, Marietta MG, Axness CL, Beauheim R, Bras R, Carrera J, Dagan G, Davies PB, Gallegos D, Galli A, Gomez-Hernandez J, Grindrod P, Gutjahr AL, Kitanidis P, Lavenue AM, McLaughlin D, Neuman SP, Ramarao BS, Ravenne C, Rubin Y (1998) A comparison of seven geostatistically-based inverse approaches to estimate transmissivities for modeling advective transport by groundwater flow. Water Resour Res 34(6):1373–1414
Acknowldgement
The study has been performed in the framework of a research agreement with the Ministry of the Environment, Land and Sea Protection and SOGESID. The authors thank the late prof. Celico P. for his support on the recognition of the geological data of Naples aquifer, and the anonynomous reviewer for his/her fruitful and constructive comments.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2022 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
Cite this chapter
Chidichimo, F., De Biase, M., Straface, S. (2022). Modelling a Polluted Aquifer with Reconstructed Heterogeneity Using the Composite Medium Indicator Kriging. In: Di Mauro, A., Scozzari, A., Soldovieri, F. (eds) Instrumentation and Measurement Technologies for Water Cycle Management . Springer Water. Springer, Cham. https://doi.org/10.1007/978-3-031-08262-7_24
Download citation
DOI: https://doi.org/10.1007/978-3-031-08262-7_24
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-031-08261-0
Online ISBN: 978-3-031-08262-7
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)