Hydrology and Earth System Sciences www.hydrol-earth-syst-sci.net 1027-5606 1607-7938 11 5 2007 10.5194/hess-11-1551-2007 http://www.hydrol-earth-syst-sci.net/11/1551/2007/ http://www.hydrol-earth-syst-sci.net/11/1551/2007/hess-11-1551-2007.html http://www.hydrol-earth-syst-sci.net/11/1551/2007/hess-11-1551-2007.pdf 1551 1561 2007-09-11 Uncertainty in geological and hydrogeological data B. Nilsson bn@geus.dk A. L. Højberg J. C. Refsgaard L. Troldborg Geological Survey of Denmark and Greenland, Copenhagen, Denmark Uncertainty in conceptual model structure and in environmental data is of essential interest when dealing with uncertainty in water resources management. To make quantification of uncertainty possible is it necessary to identify and characterise the uncertainty in geological and hydrogeological data. This paper discusses a range of available techniques to describe the uncertainty related to geological model structure and scale of support. Literature examples on uncertainty in hydrogeological variables such as saturated hydraulic conductivity, specific yield, specific storage, effective porosity and dispersivity are given. Field data usually have a spatial and temporal scale of support that is different from the one on which numerical models for water resources management operate. Uncertainty in hydrogeological data variables is characterised and assessed within the methodological framework of the HarmoniRiB classification. Anderson, M. P.: Hydrogeologic facies models to delineate large-scale spatial trends in glacial and glaciofluvial sediments, Geological Society America Bulletin, 101, 501–511, 1989. Anderson, M. P. and Woessner, W. W.: Applied groundwater modelling, simulation of flow and advective transport. Academic Press, San Diego, California, 1992 Bersezio, R., Bini, A., and Giudici, M.: Effects of sedimentary heterogeneity on groundwater flow in a Quaternary pro-glacial delta environment: joining facies analysis and numerical modelling, Sedimentary Geology, 129, 327–344, 1999. Bradbury, K .R. and Muldoon, M. A.: Hydraulic conductivity determination in lithified glacial and fluvial materials, In: Ground Water and Vadose Zone Monitoring, ASTM STP 1053, edited by: Nielsen, D. M. and Johnsen, A. I., American Society for testing Materials, Philadelphia, 138–151, 1990. Brown, J. D., Heuvelink, G. B. M., and Refsgaard, J. C.: An integrated framework for assessing and recording uncertainties about environmental data, Water Sci. Technol., 52(6), 153–160, 2005. Brown JD and Heuvelink GBM: Data Uncertainty Engine (DUE) User's Manual. University of Amsterdam. http://www.harmonirib.com, 2006. Carrera, J. and Neuman, S. P.: Estimation of aquifers parameters under transient and steady state conditions: 1. Maximum likelihood method incorporating prior information, Water Resour. Res., 22, 199–210, 1986. Carle, S. F. and Fogg, G. E.: Transition probability based on indicator geostatistics, Mathematical Geology, 28, 453–477, 1996. Carle, S. F. and Fogg, G. E.: Modelling spatial variability with one and multidimensional continuous-lag Markov chains, Mathematical Geology, 29, 891–917, 1997. Clauser, C.: Permeability of crystalline rocks, Eos 73, 233–238, 1992. Cooley, R. L.: A theory for modelling ground-water flow in heterogeneous media. U.S.G.S. Professional Paper, vol. P 1679. U.S. Geological Survey, Denver, CO, 220 pp., 2004. Dagan, G.: Statistical theory of groundwater flow and transport: Pore to laboratory, laboratory to formation and formation to regional scale, Water Resour. Res., 22(9), 120S–134S, 1986. Dagan, G., Fiori, A., and Janković, I.: Flow and transport in highly heterogeneous formations~: 1. Conceptual framework and validity of first-order approximations, Water Resour. Res., 39, 1268, doi:10.1029/2002WR001717, 2003. de Marsily, G., Delay, F., Teles, V., and Schafmeister, M. T.: Some current methods to represent the heterogeneity of natural media in hydrogeology, Hydrogeol. J., 6(1), 115–130, 1998. Eaton, T.: On the importance of geological heterogeneity for flow simulation, Sedimentary Geology, 184, 187–201, 2006. European Commission: EU Water Framework Directive (Directive 2000/60/EC). European Parliament and Commission, Official Journal (OJ L 327) on 22 December 2000. Fogg, G. E.: Groundwater flow and sand body interconnectedness in a thick multiple aquifer system, Water Resour. Res., 22, 679–694, 1986. Fogg, G. E., Noyes, C. D., and Carle, S. F.: Geologically based model of heterogeneous hydraulic conductivity in an alluvial setting, Hydrogeol. J., 6(1), 131–143, 1998. Fraser, G. S. and Davis, J. M. (Eds.): Hydrogeologic models of sedimentary aquifers, SEPM Concepts in Hydrology and Environmental geology, vol. 1. Society for Sedimentary Geology, Tulsa, OK. 180 pp., 1998. Freeze, R. A. and Cherry, J. A.: Groundwater. Prentice Hall, Englewood Cliffs, NJ 07632, USA, 1979. Funtowicz, S. O. and Ravetz, J. R.: Uncertainty and Quality in Science for Policy. Kluwer, Dordrecht; 229 p., 1990. Gelhar, L. W.: Stochastic subsurface hydrology from theory to application, Water Resour. Res., 22(9), 135S–145S, 1986. Gelhar, L. W.: Stochastic subsurface hydrology, Englewood Cliffs, NJ, Prentice Hall, 1993. Harrar, W. G., Sonnenborg, T. O., and Henriksen, H. J.: Capture zone, travel time and solute transport predictions using inverse modelling and different geological models, Hydrogeol. J., 11, 536–548, 2003. Henriksen, H. J., Troldborg, L., Nyegaard, P., Sonnenborg, T. O., Refsgaard, J. C., and Madsen, B.: Methodology for construction, calibration and validation of a national hydrological model for Denmark, J. Hydrol., 280, 52–71, 2003. Højberg, A. L. and Refsgaard, J. C.: Model Uncertainty - Parameter uncertainty versus conceptual models, Water Sci. Technol., 52(6), 177–186, 2005. Isaaks, E. D. and Srivastava, R. M.: An Introduction to Applied Geostatistics. Oxford University Press, New York, USA, 1989. Klingbeil, R., Kleineidam, S., Asprion, U., Aigner, T., and Teutsch, G.: Relating lithofacies to hydrofacies: Out-crop hydrogeological characterization of Quaternary gravel deposits, Sedimentary Geology, 129, 299–310, 1999. Koltermann, C. E. and Gorelick, S. M.: Heterogeneity in sedimentary deposits: A review of structure-imitating, process-imitating and descriptive approaches, Water Resour. Res., 32, 2617–2658, 1996. Kupfersberger, H. and Deutsch, C. V.: Ranking stochastic realizations for improved aquifer response uncertainty assessment, J. Hydrol., 223(1–2), 54–65, 1999. National Research Council: Conceptual models of flow and transport in vadose zone. National Academy Press, Washington, DC., 2001. Neuman, S. P. and Weirenga, P. J.: A comprehensive strategy of hydrogeologic modelling and uncertainty analysis for nuclear facilities and sites, NUREG/CR-6805, 2003. Nilsson, B., Sidle, R. C., Klint, K. E., Bøggild, C. E., and Broholm, K.: Mass transport and scale-dependent hydraulic tests in a heterogeneous glacial till-sandy aquifer system, J. Hydrol., 243, 162–179, 2001. Petersen, D. L., Jensen, K. H., and Nilsson, B.: Effect of embedded sand lenses on transport in till. Eos, Transactions, American Geophysical Union, 85(47), Fall Meeting, 2004. Poeter, E. M. and Anderson, D.: Multimodel ranking and inference in ground water modelling, Groundwater, 43(4), 597–605, 2005. Poeter, E. M. and Hill, M. C.: Inverse methods: A necessary next step in ground water modelling, Groundwater, 35(2), 250–260, 1997. Refsgaard, J. C., Nilsson, B., Brown, J., Klauer, B., Moore, R., Bech, T., Vurro, M., Blind, M., Castilla, G., Tsanis, I., and Biza, P: Harmonised Techniques and Representative River Basin Data for Assessment and Use of Uncertainty Information in Integrated Water Management (HarmoniRiB), Environmental Science and Policy, 8, 267–277, 2005. Refsgaard, J. C., van der Sluijs, J. P., Brown, J., and van der Keur, P.: A framework for dealing with uncertainty due to model structure error, Adv. Water Resour., 29(11), 1586–1597, 2007a. Refsgaard, J. C., van der Keur, P, Nilsson, B., MĂĽller-Wohlfeil, D.-I., and Brown, J.: Uncertainties in river basin data at various support scales – examples from Odense Pilot River Basin, Hydrol. Earth Syst. Sci. Discuss., 3, 1943–1985, 2006b. Ritzi Jr., R. W., Dominic, D. F., Slesers, A. J., Greer, C. B., Reboulet, E. C., Telford, J. A., Masters, R. W., Klohe, C. A., Bogle, J. L., and Means, B. P.: Comparing statistical models of physical heterogeneity in buried-valley aquifers, Water Res. Res., 36(11), 3179–3192, 2000. Ritzi, R. W., Jayne, D. F., Zahradink, A. J., Field, A. A., and Fogg, G. E.: Geostatistical modeling of heterogeneity in glaciofluvial, buried-valley aquifers, Ground Water, 32(4), 666–674, 1994. Rode, M. and Suhr, U.: Uncertainties in selected surface water quality data, Hydrol. Earth Syst. Sci. Discuss., 3, 2991–3021, 2006. Samper, J., Carrera, J., Galarza, G., and Medina, A.: Application of an automatic calicration technique to modelling an alluvial aquifer, IAHS AISH Publication, 195, 87–95, 1990. Sánchez-Vila, X., Girardi, J., and Carrera, J.: Scale effects in transmissivity, J. Hydrol., 183, 1–22, 1996. Selroos, J. O., Walker, D. D., Strom, A., Gylling, B., and Follin, S.: Comparison of alternative modelling approaches for groundwater flow in fractured rock, J. Hydrol., 257, 174–188, 2001. Sminchak, J. R., Dominic, D. F., and Ritzi, R. W.: Indicator geostatistical analysis of sand interconnections within a till, Ground Water, 34(6), 1125–1131, 1996. Smith, L. and Weathcroft, S. W.: Groundwater flow In: Maidment DR (Ed. in chief), Handbook of Hydrology, Mc Graw-Hill Inc., 1992. Sonnenborg, T. O.: Kalibrering af strømningsmodel, in: Ståbi i grundvandsmodellering, edited by: Henriksen, H. J., Refsgarrd, J. C., Sonnenborg, T. O., et al., GEUS report, No. 56, 2001. Troldborg, L.: Effects of geological complexity on groundwater age prediction, Eos, Transactions, American Geophysical Union, 81(48), F435, 2000. Troldborg, L.: The influence of conceptual geological models on the simulation of flow and transport in Quaternary aquifer systems. PhD. Thesis. Geological Survey of Denmark and Greenland, Report 2004/107, 2004. % %Troldborg, L., Refsgaard, J. C., Jensen, K. H., Engesgaard, P., and Carle, S. %F.: %Application of transition probability geostatistics in hydrological %modelling of a Quaternary aquifer complex, in preparation, 2007. van der Keur, P. and Iversen, B. V.: Uncertainty in soil physical data at river basin scale – a review, Hydrol. Earth Syst. Sci., 10, 889–902, 2006. van Loon, E. and Refsgaard, J. C. (Eds.): Guidelines for assessing data uncertainty in hydrological studies. HarmoniRiB Report. Geological Survey of Denmark and Greenland, http://www.harmonirib.com, 2005. van Loon, E., Brown, J. D., and Heuvelink, G. M. B.: Metodological Considerations. Chapter 2 in: 2005. Guidelines for assessing data uncertainty in hydrological studies, edited by: Van Loon, E. and Refsgaard, J. C., HarmoniRiB Report. Geological Survey of Denmark and Greenland, http://www.harmonirib.com, 2005. Weissmann, G. S., Carle, S. F. and Fogg, G. E.: Three dimensional hydrofacies modeling based on soil surveys and transition probability geostatistics, Water Resour. Res., 35(6), 1761–1770, 1999. Weissmann, G. S. and Fogg, G. E.: Multi-scale alluvial fan heterogeneity modelled with transition probability geostatistics in a sequence stratigraphic framework, J. Hydrol., 226(1–2), 48–65, 1999. Willis, B. J. and White, C. D.: Quantitative outcrop data for flow simulation, J. Sedimentary Res., 70(4), 788–802, 2000. Zimmerman, D. A., de Marsily, G., Gotway, C. A., Marietta, M. G., Axness, C. L., Beauheim, R. L., Bras, R. L., Carrera, J., Dagan, G., Davies, P. B., Gallegos, D. P., Galli, A., Gomez-Hernandez, J., Grindrod, P., Gutjahr, A. L., Kitanidis, P. K., Lavenue, A. M., McLaughlin, D., Neuman, S. P., RamaRao, B. S., Ravenne, C., and Rubin, Y.: A comparison of seven geostatistically based inverse approaches to estimate transmissivities for modeling advective transport by groundwater flow, Water Resour. Res., 34(6), 1373–1413, 1998.