Analyzing the effects of geological and parameter uncertainty on prediction of groundwater head and travel time

Hydrology and Earth System Sciences

Volumn 17, Issue 8, 2013, Pages 3245-3260

  He, X ^a   Sonnenborg, T O ^b   Jorgensen F ^b   Hoyer A S ^b,c   Moller R R ^b   Jensen, K H ^a  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b GEOLOGICAL SURVEY OF DENMARK AND GREENLAND   (Denmark)

^c AARHUS UNIVERSITY   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

GEOLOGIC MODELS; GROUNDWATER; GROUNDWATER FLOW; STOCHASTIC MODELS; STOCHASTIC SYSTEMS; UNCERTAINTY ANALYSIS;

GEOLOGICAL MODELS; GEOLOGICAL UNCERTAINTY; GEOSTATISTICAL MODELS; GROUNDWATER HEADS; GROUNDWATER MODELLING; HYDRAULIC PARAMETERS; MODEL PREDICTION; PARAMETER UNCERTAINTY; TRAVEL-TIME; UNCERTAINTY;

TRAVEL TIME;

EID: 85120991717     PISSN: 10275606     EISSN: 16077938     Source Type: Journal    
DOI: 10.5194/hess-17-3245-2013     Document Type: Article

References (61)

1. Abbaspour, K. C., Schulin, R., Van Genuchtena, M. T., and Schlappi, E.: Procedures for uncertainty analyses applied to a landfill leachate plume, Ground Water, 36, 874–883, 1998.
2. Alectia: Boringsregistrering og synkronpejling I området “Ølgod-Skovlund + Krusbjerg og Lindbjerg”, unpublished Rapport, Virum, Denmark, 5 pp., 2011.
3. Baalousha, H. M.: Modelling surface-groundwater interaction in the Ruataniwha basin, Hawke’s Bay, New Zealand, Environ. Earth Sci., 66, 285–294, 2012.
4. Beven, K. J. and Binley, A.: The future of distributed models: model calibration and uncertainty prediction, Hydrol. Process., 6, 279–298, 1992.
5. Brauchler, R., Cheng, J. T., Dietrich, P., Everett, M., Johnson, B., Liedl, R., and Sauter, M.: An inversion strategy for hydraulic tomography: coupling travel time and amplitude inversion, J. Hydrol., 345, 184–198, 2007.
6. Caers, J.: Geostatistical reservoir modeling using statistical pattern recognition, J. Petrol. Sci. Eng., 29, 177–188, 2001.
7. Caers, J. and Zhang, T.: Multiple-point geostatistics: a quantitative vehicle for integrating geologic analogs into multiple reservoir models, in: AAPG Special Volumes Memoir 80: Integration of Outcrop and Modern Analogs in Reservoir Modeling, edited by: Grammer, G. M., Harris, P. M., and Eberli, G. P., Tulsa, OK, USA, 383–394, 2004.
8. Carle, S. F. And Fogg, G. E.: Transition Probability-Based Indicator Geostatistics, Mathe. Geol., 28, 453–476, 1996.
9. Carle, S. F.: TPROGS – Transition Probability Geostatistical Software, Version 2.1, User Manual, Hydrologic Sciences Graduate Group, University of California, Davis, California, 1999.
10. Carle, S. F., LaBolle, E. M., Weissmann, G. S., VanBrocklin, D., and Fogg, G. E.: Conditional simulation of hydrofacies architecture: a transition probability/Markov approach, in: Hydrogeologic Models of Sedimentary Aquifers, Concepts in Hydrogeology and Environmental Geology No. 1, edited by: Fraser, G. S. and Davis, J. M., SEPM (Society for Sedimentary Geology) Special Publication, AAPG, Tulsa, OK, USA, 147–170, 1998.
11. Cheng, C. and Chen, X. H.: Evaluation of methods for determination of hydraulic properties in an aquifer-aquitard system hydro-logically connected to a river, Hydrogeol. J., 15, 669–678, 2007.
12. Comunian, A., Renard, P., Straubhaar, J., and Bayer, P.: Three-dimensional high resolution fluvio-glacial aquifer analog, Part 2: Geostatistical modelling, J. Hydrol., 405, 10–23, 2011.
13. Comunian, A., Renard, P., and Straubhaar, J.: 3-D multiple-point statistics simulation using 2-D training images, Comput. Geosci., 40, 49–65, 2012.
14. David, W. P.: User’s Guide for MODPATH/MODPATH-PLOT, Version 3: a Particle Tracking Post-Processing Package for MODFLOW, the US Geological Survey Finite-Difference GroundWater Flow Model, US Geological Survey Open File Rep. 94–464, Tulsa, OK, USA, 1994.
15. Delhomme, J. P.: Spatial variability and uncertainty in groundwater flow parameters: a geostatistical approach, Water Resour. Res., 15, 269–280, 1979.
16. Dettinger, M. D. and Wilson, J. L.: First order analysis of uncertainty in numerical models of groundwater flow, Water Resour. Res., 17, 149–161, 1981.
17. Doherty, J.: PEST: Model Independent Parameter Estimation, 5th Edn. of user manual, Watermark Numerical Computing, Brisbane, Australia, 2005.
18. Evan, R. A. and Mary, C. H.: Documentation of the hydrogeologic-unit flow (HUF) package, US Geological Survey Open File Rep. 00–342, US Geological Survey, Denver, CO, USA, 2000.
19. Feyen, L. and Caers, J.: Quantifying geological uncertainty for flow and transport modeling in multi-modal heterogeneous formations, Adv. Water Resour., 29, 912–929, 2006.
20. Feyen, L., Beven, K. J., De Smedt, F., and Freer, J.: Stochastic capture zone delineation within the generalized likelihood uncertainty estimation methodology: conditioning on head observations, Water Resour. Res., 37, 625–638, 2001.
21. Fleckenstein, J. H., Niswonger, R. G., and Fogg, G. E.: River-aquifer interactions, geologic heterogeneity, and low-flow management, Ground Water, 44, 837–852, 2006.
22. Freeze, R. A.: A stochastic-conceptual analysis of one-dimensional groundwater flow in nonuniform homogeneous media, Water Resour. Res., 11, 725–741, 1975.
23. Freeze, R. A., Massmann, J., Smith, L., Sperling, T., and James, B.: Hydrogeological decision analysis: 1. A framework, Ground Water, 28, 738–766, 1990.
24. Goovaerts, P.: Geostatistics for Natural Resources Evaluation, Oxford University Press, New York, 483 pp., 1997.
25. Guardiano, F. and Srivastava, R. M.: Multivariate geostatistics: beyond bivariate moments: geostatistics-troia, in: Geostatistics-Troia, Vol. 1, edited by: Soares, A., Kluwer, Dordrecht, 133–144, 1993.
26. Harbaugh, A. W., Banta, E. R., Hill, M. C., and McDonald, M. G.: MODFLOW-2000, the US Geological Survey Modular GroundWater Model – User Guide to Modularization Concepts and the Ground-Water Flow Process, US Geological Survey Open-File Report 00–92, US Department of Interior, Reston, VA, USA, 121 pp., 2000.
27. Harrar, W. G., Sonnenborg, T. O., and Henriksen, H. J.: Capture zone, travel time, and solute transport predictions using inverse modeling and different geological models, J. Hydrol., 11, 536–548, 2003.
28. Hassan, A.E, Bekhit, H. M., and Chapman, J. B.: Uncertainty assessment of a stochastic groundwater flow model using GLUE analysis, J. Hydrol., 362, 89–109, 2008.
29. 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.
30. Hendricks Franssen, H. J., Stauffer, F., and Kinzelbach, W.: Joint estimation of transmissivities and recharges–application: stochastic characterization of well capture zones, J. Hydrol., 294, 87–102, 2004.
31. Hoeksema, R. J. and Kitanidis, P. K.: Analysis of the spatial structure of properties of selected aquifers, Water Resour. Res., 21, 563–572, 1985.
32. Honarkhah, M. and Caers, J.: Direct Pattern-Based Simulation of Nonstationary Geostatistical Models, Math. Geosci., 44, 651–672, 2012.
33. Høyer, A. S., Lykke-Andersen, H., Jørgensen, F., and Auken, E.: Combined interpretation of SkyTEM and high-resolution seismic data, Phys. Chem. Earth, 36, 1386–1397, doi:10.1016/j.pce.2011.01.001, 2011.
34. Høyer, A. S., Jørgensen, F., Lykke-Andersen, H., and Christiansen, A. V.: Iterative modelling of AEM data based on geological a priori information from seismic and borehole data, Near Surf. Geophys., submitted, 2013.
35. Johnson, N. M.: Characterization of alluvial hydrostratigraphy with indicator semivariograms, Water Resour. Res., 31, 3205–3216, 1995.
36. Journel, A. G.: Beyond covariance: the advent of multiple-point geostatistics, in: Geostatistics, Banff, edited by: Leuangthong, O. and Deutsch, C. V., Springer, Dordrecht, The Netherlands, 2004, 225–233, 2005.
37. Journel, A. G. and Alabert, F.: New method for reservoir mapping, J. Petrol. Technol., 42, 212–218, 1990.
38. Journel, A. G. and Zhang, T.: The necessity of a multiplepoint prior model, Math. Geol., 38, 591–610, 2006.
39. Jørgensen, F. and Sandersen, P. B. E.: Buried and open tunnel valleys in Denmark – erosion beneath multiple ice sheets, Quaternary Sci. Rev., 25, 1339–1363, 2006.
40. Jørgensen, F., Møller, R. R., Høyer, A. H., and Christiansen, A. V.: Geologisk model ved Ølgod og Skovlund – eksempel p°a effektiviseret modellering i et heterogent geologisk miljø, Dan-marks og Grønlands Geologiske Undersøgelse Rapport 2012/82, GEUS, Copenhagen, Denmark, 83 pp., 2012.
41. Klise, K. A., Weissmann, G. S., McKenna, S. A., Nichols, E. M., Frechette, J. D., Wawrzyniec, T. F., and Tidwell, V. C.: Exploring solute transport and streamline connectivity using Lidar-based outcrop images and geostatistical representations of heterogeneity, Water Resour. Res., 45, W05413, doi:10.1029/2008WR007500, 2009.
42. Le Coz, M., Genthon, P., and Adler, P. M.: Multiple-point statistics for modeling facies heterogeneities in a porous medium: the Komadugu-Yobe Alluvium, Lake Chad Basin, Math. Geosci., 43, 861–878, 2011.
43. Liu, Y.: Using the Snesim program for multiple-point statistical simulation, Comput. Geosci., 32, 1544–1563, 2006.
44. Liu, Y., Harding, A., Journel, A. G., and Gilbert, R.: A workflow for multiple-point geostatistical simulation, in: Geostatistics Banff 2004, Vol. 1, edited by: Leuangthong, O. and Deutsch, C. V., Springer, Dordrecht, 245–254, 2005.
45. Mariethoz, G., Renard, P., Cornaton, F., and Jaquet, O.: Truncated Plurigaussian simulations to characterize aquifer heterogeneity, Ground Water, 47, 13–24, 2009.
46. McDonald, M. G. and Harbaugh, A. W.: A Modular Three-Dimensional Finite-Difference Ground-Water Flow Model, US Geological Survey Open File Rep. 83–875, US GPO, Washington, USA, 1988.
47. McKay, M. D., Conover, W. J., and Beckman, R. J.: A comparison of three methods for selection values of input variables in the analysis of output from a computer code, Technometrics, 2, 239–245, 1979.
48. Mantovan, P. and Todini, E.: Hydrological forecasting uncertainty assessment: incoherence of the GLUE methodology, J. Hydrol., 330, 368–381, 2006.
49. Mantovan, P., Todini, E., and Martina, M. L. V.: Reply to comment by Keith Beven, Paul Smith and Jim Freer on “Hydrological forecasting uncertainty assessment: incoherence of the GLUE methodology”, J. Hydrol., 228, 319–324, 2007.
50. Rasmussen, E. S., Dybkjær, K., and Piasecki, S.: Lithostratigraphy of the Upper Oligocene Miocene Succession of Denmark, Geological Survey of Denmark and Greenland Bulletin, 22, GEUS, Copenhagen, Denmark, 92 pp., 2010.
51. Refsgaard, J. C., Christensen, S., Sonnenborg, D. S., Hojberg, A. L., and Troldborg, L.: Review of strategies for handling geological uncertainty in groundwater flow and transport modeling, Adv. Water Resour., 36, 36–50, 2012.
52. Remy, N., Boucher, A., and Wu, J.: Applied Geostatistics with SGeMS, Cambridge University Press, Cambridge, UK, 2009.
53. Renard, P.: Stochastic hydrogeology: what professionals really need?, Ground Water, 45, 531–541, 2007.
54. Sørensen, K. I. and Auken, E.: SkyTEM – a new high-resolution helicopter transient electromagnetic system, Explor. Geophys., 35, 191–199, 2004.
55. Stisen, S., Sonnenborg, T. O., Højberg, A. L., Troldborg, L., and Refsgaard, J. C.: Evaluation of climate input biases and water balance issues using a coupled surface-subsurface model, Vadose Zone J., 10, 37–53, 2011.
56. Strebelle, S. B.: Conditional simulation of complex geological structures using multiple-point statistics, Math. Geol., 34, 1–21, 2002.
57. Strebelle, S. B.: Sequential simulation for modeling geological structures from training images, in: Stochastic Modeling and Geostatistics: Principles, Methods, and Case Studies, vol. II: AAPG Computer Applications in Geology 5, edited by: Coburn, T. C., Yarus, J. M., and Chambers, R. L., AAPG, Tulsa, OK, USA, 139–149, 2006.
58. Tonkin, M. and Doherty, J.: A hybrid regularized inversion methodology for highly parameterized environmental models, Water Resour. Res., 41, W10412, doi:10.1029/2005WR003995, 2005.
59. Vrugt, J. A., Stauffer, P. H., Wohling, T., Robinson, B. A., and Vesselinov, V. V.: Inverse modeling of subsurface flow and transport properties: a review with new developments, Vadose Zone J., 7, 843–864, 2008.
60. Webb, E. K. and Anderson, M. P.: Simulation of preferential flow in three-dimensional, heterogeneous conductivity fields with realistic internal architecture, Water Resour. Res., 32, 533–545, 1996.
61. Wingle, W. L. and Poeter, E. P.: Uncertainty associated with semivariograms used for site simulation, Ground Water, 31, 725–734, 1993.