Efficient upscaling of hydraulic conductivity in heterogeneous alluvial aquifers

Hydrogeology Journal

Volumn 16, Issue 7, 2008, Pages 1239-1250

  Fleckenstein, Jan H ^a   Fogg, Graham E ^b  

^a UNIVERSITY OF BAYREUTH   (Germany)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Geostatistics; Heterogeneity; Hydraulic properties; Numerical modeling; Upscaling

Indexed keywords

AQUIFER; COMPUTER SIMULATION; GEOSTATISTICS; HETEROGENEITY; HYDRAULIC CONDUCTIVITY; NUMERICAL MODEL; PROBABILITY; UPSCALING;

EID: 54949142807     PISSN: 14312174     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10040-008-0312-3     Document Type: Article

References (62)

1. Ababou R, McLaughlin D, Gelhar LW, Tompson AFB (1989) Numerical-simulation of 3-dimensional saturated flow in randomly heterogeneous porous-media. Transp Porous Media 4(6):549-565
2. Carle SF (1999) TPROGS: Transition probability geostatistical software, version 2.1, user manual. Hydrologic Sciences Graduate Group, University of California, Davis, USA
3. Carle SF, Fogg GE (1996) Transition probability-based indicator geostatistics. Math Geol 28(4):453-476
4. Carle SF, Fogg GE (1997) Modeling spatial variability with one and multidimensional continuous-lag Markov chains. Math Geol 29(7):891-918
5. Carle SF, La Bolle EM, Weissmann GS Van Brocklin D, Fogg GE (1998) Conditional simulation of hydrofacies architecture: A transition probability/Markov approach. In: Fraser GS, Davis JM (eds) Hydrogeologic models of sedimentary aquifers. Concepts in Hydrogeology and Environmental Geology, SEPM Spec Publ 1:147-170
6. Chen Y, Durlofsky LJ Gerritsen M, Wen XH (2003) A coupled local-global upscaling approach for simulating flow in highly heterogeneous formations. Adv Water Resour 26:1041-1060
7. Cushman JH, Bennethum LS, Hu BX (2002) A primer on upscaling tools for porous media. Adv Water Resour 25:1043-1067
8. Dagan G (2001) Effective, equivalent and apparent properties of heterogeneous media. In: Aref H, Phillips JW (eds) Mechanics for a new millennium: Proceeding of the 20th International Congress on Theoretical and Applied Mechanics. Kluwer, Dordrecht, pp 473-485
9. Dagan G, Neuman SP (1997) Subsurface flow and transport: A stochastic approach. University Press, Cambridge
10. de Marsily G, Delay F, Teles V, Schafmeister MT (1998) Some current methods to represent the heterogeneity of natural media in hydrogeology. Hydrogeol J 6:115-130
11. de Marsily G, Delay F, Goncalves J, Renard P, Teles V, Violette S (2005) Dealing with spatial heterogeneity. Hydrogeol J 13(1):61-183
12. Desbarats AJ (1994) Spatial averaging of hydraulic conductivity under radial flow conditions. Math Geol 26:1-21
13. Deutsch CV, Journel AG (1998) GSLIB: Geostatistical software library and user's guide. Oxford University Press, New York
14. Eaton TT (2006) On the importance of geological heterogeneity for flow simulation. Sediment Geol 184(3-4):187-201
15. Fiori A, Jankovic I, Dagan G (2003) Flow and transport through two-dimensional isotropic media of binary conductivity distribution, part 1: Numerical methodology and semi-analytical solutions. Stoch Environ Res Risk Assess 17:370-383
16. Fleckenstein JH (2004) Modeling river-aquifer interactions and geologic heterogeneity in an alluvial fan system, Cosumnes River, CA. PhD Thesis, Hydrologic Sciences Graduate Group, University of California, Davis, USA
17. Fleckenstein JH, Niswonger RG, Fogg GE (2006) River-aquifer interactions, geologic heterogeneity, and low-flow management. Ground Water 44:837-852
18. Fogg GE (1986) Groundwater-flow and sand body interconnectedness in a thick, multiple-aquifer system. Water Resour Res 22(5):679-694
19. Fogg GE, Carle SF, Green CT (2000) Connected-network paradigm for the alluvial aquifer system. In: Zhang D, Winter CL (eds) Theory, modeling and field investigation in hydrogeology: A special volume in honor of Shlomo P. Neuman's 60th birthday, Geological Society of America Spec Pap 348, pp 25-42
20. Gomez-Hernandez JJ, Gorelick SM (1989) Effective groundwater model parameter values: Influence of spatial variability of hydraulic conductivity, leakance and recharge. Water Resour Res 25(3):405-419
21. Harbaugh AW, Banta ER, Hill MC, McDonald MG (2000) MODFLOW-2000, The US Geological Survey Modular ground-water model: User guide to modularization concepts and the ground-water flow process, US Geol Surv Open-File Rep 00-92
22. Harter T (2005) Finite-size scaling analysis of percolation in three-dimensional correlated binary Markov chain random fields. Phys Rev E Stat Nonlin Soft Matter Phys 72(2), 026120
23. Indelman P (2003) Transient well-type flows in heterogenous formations. Water Resour Res 39(3), 1064. 10.1029/2002WR001407
24. Jankovic I, Fiori A, Dagan G (2003) Effective conductivity of an isotropic heterogeneous medium of lognormal conductivity distribution. Multiscale Model Simul 1:40-56
25. Journel AG (1996) Conditional simulation of geologically averaged block permeabilities. J Hydrol 183(1-2):23-35
26. Journel AG, Deutsch CV, Desbarats AJ (1986) Power averaging for block effective permeability. Paper presented at 56th California regional meeting of the Society of Petroleum Engineers, Oakland, CA, April 1986
27. Knudby C (2004) On the concept of hydrogeologic connectivity. PhD Thesis, Technical University of Catalonia, Spain
28. Knudby C, Carrera J (2005) On the relationship between indicators of geostatistical, flow and transport connectivity. Adv Water Resour 28(4):405-421
29. Knudby C, Carrera J, Bumgardner JD, Fogg GE (2006) Binary upscaling: The role of connectivity and a new formula. Adv Water Resour 29:590-604
30. Koltermann CE, Gorelick SM (1996) Heterogeneity in sedimentary deposits: a review of structure-imitating, process-imitating, and descriptive approaches. Water Resour Res 32(9):2617-2658
31. LaBolle EM, Fogg GE (2001) Role of molecular diffusion in contaminant migration and recovery in an alluvial aquifer system. Transp Porous Media 42(1-2):155-179
32. Lee SY (2004) Heterogeneity and transport: Geostatistical modeling, non-Fickian transport, and efficiency of remediation methods. PhD Thesis, University of California, Davis, USA, 267 pp
33. Lee SY, Carle SF, Fogg GE (2007) Geologic heterogeneity and a comparison of two geostatistical models: Sequential Gaussian and transition probability-based geostatistical simulation. Adv Water Resour 30:1914-1932
34. McDonald MG, Harbaugh AW (1988) A modular three-dimensional finite-difference ground-water flow model. USGS Techniques of Water-Resources Investigations, Book 6, Chapter A1, US Geological Survey, Reston, VA
35. Neuman SP, Di F (2003) Multifaceted nature of hydrogeologic scaling and its interpretation. Rev Geophys 41(3), 1014. DOI 10.1029/2003RG000130
36. Noetinger B, Artus V, Zargar G (2005) The future of stochastic and upscaling methods in hydrogeology. Hydrogeol J 13(1):84-201
37. Paleologos EK, Neuman SP, Tartakovsky D (1996) Effective hydraulic conductivity of bounded, strongly heterogeneous porous media. Water Resour Res 32:1333-1341
38. Pozdniakov S, Tsang CF (2004) A self-consistent approach for calculating the effective hydraulic conductivity of a binary, heterogeneous medium. Water Resour Res 40, W05105. DOI 10.1029/2003WR002617
39. Renard P, de Marsily G (1997) Calculating equivalent permeability: A review. Adv Water Resour 20(5-6):253-278
40. Renard P, Le Loch G, Ledoux E, de Marsily G, Mackay R (2000) A fast algorithm for the estimation of the equivalent hydraulic conductivity of heterogeneous media. Water Resour Res 36(12):3567-3580
41. Ritzi RW, Jayne DF, Zahradnik AJ, Field AA, Fogg GE (1994) Geostatistical modeling of heterogeneity in glaciofluvial, buried-valley aquifers. Ground Water 32(4):666-674
42. Robin MJL, Gutjahr AL, Sudicky EA, Wilson JL (1993) Cross-correlated random field generation with the direct Fourier transform method. Water Resour Res 29(7):2385-2397
43. Rubin Y (1995) Flow and transport in bimodal heterogeneous formations. Water Resour Res 31:2461-2468
44. Sanchez-Vila X, Guadagnini A, Carrera J (2006) Representative hydraulic conductivities in saturated groundwater flow. Rev Geophys 44(3), RG3002. DOI 10.1029/2005RG000169
45. Scheibe T, Yabusaki S (1998) Scaling of flow and transport behavior in heterogeneous groundwater systems. Adv Water Resour 22(3):223-238
46. Tartakovsky DM, Guadagnini A (2004) Effective properties of random composites. Siam J Sci Comput 26:625-635
47. Tartakovsky DM, Neuman SP (1998) Transient effective hydraulic conductivities under slowly and rapidly varying mean gradients in bounded three-dimensional random media. Water Resour Res 34:21-32
48. Tompson AFB, Carle SF, Rosenberg ND, Maxwell RM (1999) Analysis of groundwater migration from artificial recharge in a large urban aquifer: a simulation perspective. Water Resour Res 35(10):2981-2998
49. Webb EK (1995) Simulation of braided channel topology and topography. Water Resour Res 31(10):2603-2611
50. Webb EK, Anderson MP (1996) Simulation of preferential flow in three-dimensional, heterogeneous conductivity fields with realistic internal architecture. Water Resour Res 32(3):533-545
51. Weissmann GS, Fogg GE (1999) Multi-scale alluvial fan heterogeneity modelled with transition probability geostatistics in a sequence stratigraphic framework. J Hydrol 226(1-2):48-65
52. Weissmann GS, Zhang Y, LaBolle EM, Fogg GE (2002) Dispersion of groundwater age in an alluvial aquifer system. Water Resour Res 38 (10), 1198. DOI 10.1029/2001WR000907
53. Wen XH, Gomez Hernandez JJ (1996) Upscaling hydraulic conductivities in heterogeneous media: An overview. J Hydrol 183(1-2):9-32
54. Wen XH, Durlofsky LJ, Edwards MG (2003) Use of border regions for improved permeability upscaling. Math Geol 35:521-547
55. Wen XH, Chen YG, Durlofsky LJ (2006) Efficient 3D implementation of local-global upscaling for reservoir simulation. SPE J 11:443-453
56. Western AW, Blöschl G, Grayson RB (1998) How well do indicator variograms capture the spatial connectivity of soil moisture? Hydrol Process 12(12):1851-1868
57. Western AW, Blöschl G, Grayson RB (2001) Toward capturing hydrologically significant connectivity in spatial patterns. Water Resour Res 37(1):83-97
58. Yong Z (2004) Upscaling conductivity and porosity in three-dimensional heterogeneous porous media. Chin Sci Bull 49(22):2415-2423
59. Zappa G, Bersezio R, Felletti F, Giudici M (2006) Modeling heterogeneity of gravel-sand, braided stream, alluvial aquifers at the facies scale. J Hydrol 325(1-4):134-153
60. Zhang Y, Gable CW, Person M (2006) Equivalent hydraulic conductivity of an experimental stratigraphy: Implications for basin-scale flow simulations. Water Resour Res 42(5), W05404. DOI 10.1029/2005WR004720
61. Zhang Y, Person M, Gable CW (2007) Representative hydraulic conductivity of hydrogeologic units: Insights from an experimental stratigraphy. J Hydrol 339:65-78
62. Zinn B, Harvey CF (2003) 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), 1051.