On the relationship between indicators of geostatistical, flow and transport connectivity

Advances in Water Resources

Volumn 28, Issue 4, 2005, Pages 405-421

  Knudby, Christen ^a,b   Carrera, Jesús ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Channeling; Connectivity; Contaminant transport; Effective permeability; Entropy; Geostatistics; Heterogeneous media; Preferential flow

Indexed keywords

FLUID DYNAMICS; SOLUTIONS; STATISTICAL METHODS;

FLOW CONNECTIVITY; FLOW RATES; STATISTICAL INDICATORS; TRANSPORT INDICATORS;

FLOW OF FLUIDS;

GEOSTATISTICS; HETEROGENEOUS MEDIUM; PERMEABILITY; POLLUTANT TRANSPORT; POROUS MEDIUM; PREFERENTIAL FLOW;

EID: 14644440877     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2004.09.001     Document Type: Article

References (79)

1. D. Allard HERESIM Group On the connectivity of two random set models: the truncated Gaussian and the Boolean In: A. Soares editor. Geostatistics Tróia '92 vol. 1 1993 Kluwer Acad. Norwell, MA 467-478
2. J.R.L. Allen Studies in fluvatile sedimentation: An exploratory quantitative model for the architecture of avulsion-controlled alluvial suites Sed Geol 21 1978 129-147
3. V. Ambegaokar B.I. Halperin L.S. Langer Hopping conductivity in disordered systems Phys Rev B 4 8 1971 2612-2620
4. B. Berkowitz I. Balberg Percolation theory and its application to groundwater hydrology Water Resour Res 29 4 1993 775-794
5. B. Berkowitz Analysis of fracture network connectivity using percolation theory Math Geol 27 4 1995 467-483
6. B. Berkowitz O. Bour P. Davy N. Odling Scaling of fracture connectivity in geological formations Geophys Res Lett 27 14 2000 2061-2064
7. B. Berkowitz Characterizing flow and transport in fractured geological media Adv Water Resour 25 2002 861-864
8. G. Blöschl Scale and scaling in hydrology Habilitationsschrift. Wien Mitt. Wasser-Abwasser-Gewässer vol. 132 1996 Technical University of Vienna Vienna 346 pp
9. J.S. Bridge M.R. Leeder A simulation model of alluvial stratigraphy Sedimentology 26 1979 617-644
10. C. Bruderer-Weng P. Cowie Y. Bernabe I. Main Relating flow channeling to tracer dispersion in heterogeneous networks Adv Water Resour 27 2004 843-855
11. O. Bour P. Davy On the connectivity of three-dimensional fault networks Water Resour Res 34 10 1998 2611-2622
12. J. Caers Geostatistical reservoir modelling using statistical pattern recognition J Pet Sci Eng 29 2001 177-188
13. S.F. Carle G.E. Fogg Transition probability-based indicator geostatistics Math Geol 28 4 1996 453-476
14. S.F. Carle G.E. Fogg Modeling spatial variability with one- and multidimensional continuous-lag Markov chains Math Geol 29 7 1997 891-918
15. J. Carrera An overview of uncertainties in modelling groundwater solute transport J Cont Hydrol 13 1993 23-48
16. J. Carrera X. Sánchez-Vila A. Medina Roles and significance of water conducting features for transport models in performance assessment Water-conducting features in radionuclide migration. Proceedings of 3rd GEOTRAP workshop, Barcelona, Spain, 10-12 June 1998 1999 OECD/NEA France 77-94
17. G. Dagan Statistical theory of groundwater flow and transport: Pore to laboratory, laboratory to formation, and formation to regional scale Water Resour Res 22 9 1986 120S-134S
18. A.J. Desbarats Macrodispersion in sand-shale sequences Water Resour Res 26 1 1990 153-163
19. C.V. Deutsch Calculating effective absolute permeability in sandstone/ shale sequences SPE Form Eval 4 3 1989 249-267
20. C.V. Deutsch A. Journel GSLIB, Geostatistical software library 1992 Oxford Univ. Press New York
21. C.V. Deutsch FORTRAN programs for calculating connectivity of three-dimensional numerical models and for ranking multiple realizations Comput. Geosci. 24 1 1998 69-76
22. G.E. Fogg Groundwater flow and sand body interconnectedness in a thick, multiple-aquifer system Water Resour Res 22 5 1986 679-694
23. G.E. Fogg Architecture and interconnectedness of geologic media: Role of the low-permeability facies in flow and transport In: S.P. Neuman I. Neretnieks, editors. Hydrogeology of low permeability environments 1990 Verlag Heinz Heise Hannover, Germany 19-40
24. G.E. Fogg C.D. Noyes S.F. Carle Geologically based model of heterogeneous hydraulic conductivity in an alluvial setting Hydrogeol. J. 6 1998 131-143
25. G.E. Fogg S.F. Carle C. Green Connected-network paradigm for the alluvial aquifer system In: D. Zhang C.L. Winter, editors. Theory, modeling, and field investigation in hydrogeology: A special volume in honor of Shlomo P. Neuman's 60th birthday 2000 Geological Society of America 25-42
26. R.A. Freeze J.A. Cherry Groundwater 1979 Prentice-Hall Englewood Cliffs, NJ
27. L.W. Gelhar Stochastic subsurface hydrology: From theory to applications Water Resour Res 22 9 1986 135S-145S
28. J.J. Gómez-Hernández S.M. Gorelick Effective groundwater model parameter values: Influence of spatial variability of hydraulic conductivity, leakage and recharge Water Resour Res 25 3 1989 405-419
29. J.J. Gómez-Hernández X.H. Wen To be or not to be multi-Gaussian? A reflection on stochastic hydrogeology Adv Water Res 21 1 1998 47-61
30. R.B. Grayson G. Blöschl Western A.W. McMahon Advances in the use of observed spatial patterns of catchment hydrological response Adv Water Res 25 2002 1314-1334
31. A.J. Guswa D.L. Freyberg On using the equivalent conductivity to characterize solute spreading in environments with low-permeability lenses Water Resour Res 30 8 2002 1132
32. Harbaugh AW, Banta ER, Hill MC, McDonald MG. MODFLOW-2000, The US Geological Survey modular ground-water model - User guide to modularization concepts and the ground-water flow process. Open-File Report 00-92, United States Geological Survey, Boulder, Co, 2000. 121 pp
33. A.G. Hunt Applications of percolation theory to porous media with distributed local conductances Adv Water Res 24 2001 279-307
34. A.G. Journel Nonparametric estimation of spatial distributions Math Geol 1 1 1983 79-96
35. Journel AG, Deutsch AV, Desbarats AJ. Power averaging for block effective permeability. SPE 15128, 56th California regional meeting of SPE, 1986
36. Journel AG, Alabert FG. Focusing on spatial connectivity of extreme-valued attributes: Stochastic indicator models of reservoir heterogeneities. Soc Pet Eng Tech Paper 18324, 1988
37. A.G. Journel F.G. Alabert Non-Gaussian data expansion in the earth sciences Terra Nova 1 1989 123-134
38. A.G. Journel C.V. Deutsch Entropy and spatial disorder Math Geol 25 3 1993 329-355
39. Knudby C, Carrera J. Apparent hydraulic diffusivity as an indicator of connectivity. J Hydrol, submitted for publication
40. Knudby C, Carrera J, Bumgardner J, Fogg GE. Binary upscaling - The role of connectivity and a new formula. Adv Water Resour, submitted for publication
41. C. Koltermann S.M. Gorelick Heterogeneity in sedimentary deposits: A review of structure-imitating, process-imitating, and descriptive approaches Water Resour Res 32 9 1996 2617-2658
42. E.M. LaBolle G.E. Fogg Role of molecular diffusion in contaminant migration and recovery in an alluvial aquifer system Transp Porous Media 42 2001 155-179
43. T. Manzocchi The connectivity of two-dimensional networks of spatially correlated fractures Water Resour Res 38 9 2002 1162
44. L. Martínez-Landa J. Carrera J. Guimerà E. Vazquez-Suñé L. Vives P. Meier et al. Methodology for the hydraulic characterisation of a granitic block In: F. Stauffer W. Kinzelbach K. Kovar E. Hoehn editors. Proc of ModelCARE '99, September, Zürich 1999 425-430
45. G. Matheron Eléments pour une Théorie des Milieux Poruex 1967 Masson Paris
46. P.M. Meier J. Carrera X. Sánchez-Vila An evaluation of Jacob's method for the interpretation of pumping tests in heterogeneous formations Water Resour Res 34 5 1998 1011-1025
47. L. Moreno C.F. Tsang Multiple-peak response to tracer injection tests in single fractures: A numerical study Water Resour Res 27 8 1991 2143-2150
48. L. Moreno Y.W. Tsang C.F. Tsang F.H. Hale I. Neretnieks Flow and tracer transport in a single fracture: A stochastic model and its relation to some field observation Water Resour Res 24 12 1988 2033-2048
49. I. Neretnieks T. Eriksen P. Tähtinen Tracer movement in a single fissure in granitic rock: Some experimental results and their interpretation Water Resour Res 18 1982 849-858
50. S.P. Neuman Stochastic approach to subsurface flow and transport: A view to the future In: G. Dagan S.P. Neuman editors. Subsurface flow and transport - A stochastic approach International Hydrology Series 1997 Unesco
51. N.E. Odling J.E. Roden Contaminant transport in fractured rocks with significant matrix permeability, using natural fracture geometries J Cont Hydrol 27 1997 263-283
52. E.K. Paleologos S.P. Neuman D. Tartakovsky Effective hydraulic conductivity of bounded, strongly heterogeneous porous media Water Resour Res 32 5 1996 1333-1341
53. E.P. Poeter D. Gaylord Influence of aquifer heterogeneity on contaminant transport at the Hanford Site Ground Water 28 6 1990 900-909
54. E.P. Poeter P. Townsend Assessment of critical flow path for improved remediation management Ground Water 32 3 1994 439-447
55. P. Renard G. de Marsily Calculating equivalent permeability: A review Adv Water Resour 20 5-6 1997 253-278
56. Y. Rubin A.G. Journel Simulate of non-Gaussian space random functions for modeling transport in groundwater Water Resour Res 27 7 1991 1711-1721
57. M. Sahimi Non-linear and non-local transport processes in heterogeneous media: From long-range correlated percolation to fracture and materials breakdown Phys Rep 306 1998 213-395
58. X. Sánchez-Vila J. Carrera J.P. Girardi Scale effects in transmissivity J Hydrol 183 1996 1-22
59. M.T. Schafmeister G. Marsily The influence of correlation length of highly conductive zones in alluvial media on the transport behaviour In: T. Dracos F. Stauffer editors. Transport and reactive processes in aquifers 1994 Balkema Rotterdam 171-176 ISBN 90-5410-368-X
60. Scheibe TD. Characterization of the spatial structuring of natural porous media and its impacts on subsurface flow and transport. PhD Dissertation, Stanford University, Palo Alto, 1993
61. T.D. Scheibe D.L. Freyberg Use of sedimentological information for geometric simulation of natural porous media structure Water Resour Res 31 12 1995 3259-3270
62. T.D. Scheibe S. Yabusaki Scaling of flow and transport behavior in heterogeneous groundwater systems Adv Water Resour 22 3 1998 223-238
63. S.E. Silliman A.L. Wright Stochastic analysis of high hydraulic conductivity in porous media Water Resour Res 24 11 1998 1901-1910
64. S.E. Silliman The importance of the third dimension on transport through saturated porous media: Case study based on transport of particles J Hydrol 179 1996 181-195
65. R.M. Srivastava An overview of stochastic methods for reservoir characterization In: J.M. Yarus R.L. Chambers, editors. Stochastic modeling and geostatistics AAPG Comput Appl Geol vol. 3 1994 3-16
66. D. Stauffer A. Aharony Introduction to percolation theory 1991 Taylor and Francis Philadelphia, PA 181 pp
67. S.B. Strebelle Sequential simulation drawing structures from training images 1999 Stanford Center for Reservoir Forecasting
68. S.B. Strebelle Conditional simulation of complex geological structures using multiple-point statistics Math Geol 34 1 2002 1-22
69. C.F. Tsang I. Neretnieks Flow channeling in heterogeneous fractured rocks Rev Geophys 36 2 1998 275-298
70. J.E. Warren H.H. Price Flow in heterogeneous porous media Soc Pet Eng J 1 1961 153-169
71. E.K. Webb M.P. Anderson Simulation of preferential flow in three-dimensional heterogeneous conductivity fields with realistic internal architecture Water Resour Res 32 3 1996 533-545
72. Weissmann GS. Towards new models of subsurface heterogeneity: An alluvial fan sequence stratigraphic framework with transition probability geostatistics. PhD Dissertation, University of California, Davis, 1999, 279 pp
73. X.H. Wen J.J. Gómez-Hernández Upscaling hydraulic conductivities in heterogeneous media: An overview J Hydrol 183 1996 ix-xxxii
74. X.H. Wen J.J. Gómez-Hernández Numerical modeling of macrodispersion in heterogeneous media - A comparison of multi-Gaussian and non-multi-Gaussian models J Cont Hydrol 30 1-2 1998 129-156
75. A.W. Western G. Blöschl R.B. Grayson How well do indicator variograms capture connectivity of soil moisture Hydrol Proces 12 1998 1851-1868
76. A.W. Western G. Blöschl R.B. Grayson Toward capturing hydrologically significant connectivity in spatial patterns Water Resour Res 37 1 2001 83-97
77. D. Wildenschild K.H. Jensen Laboratory investigations of effective flow behavior in unsaturated heterogeneous sand Water Resour Res 35 1 1999 17-27
78. C. Zheng S.M. Gorelick Analysis of solute transport in flow fields influenced by preferential flowpaths at the decimeter scale Ground Water 41 2 2003 142-155
79. B. Zinn C.F. Harvey When good statistical models of aquifer heterogeneity go bad: A comparison of flow, dispersion, and mass transfer in connected and multivariate Gaussian hydraulic conductivity fields Water Resour Res 39 3 2003 1051