Three-dimensional hydraulic conductivity upscaling in groundwater modeling

Computers and Geosciences

Volumn 36, Issue 10, 2010, Pages 1224-1235

  Zhou, Haiyan ^a   Li, Liangping ^a   Jaime Gomez Hernandez J ^a  

^a UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

Block conductivity; Full tensor; Groundwater simulation; Heterogeneity; Interface; Upscaling

Indexed keywords

BLOCK CONDUCTIVITY; FULL TENSOR; GROUNDWATER SIMULATION; HETEROGENEITY; INTERFACE; UPSCALING;

ALGORITHMS; GROUNDWATER; GROUNDWATER FLOW; HYDRAULIC CONDUCTIVITY; THREE DIMENSIONAL;

TENSORS;

ALGORITHM; COMPUTER SIMULATION; CONSTITUTIVE EQUATION; DISCHARGE; FINITE DIFFERENCE METHOD; GROUNDWATER FLOW; HETEROGENEITY; HYDRAULIC CONDUCTIVITY; HYDRAULIC HEAD; INTERFACE; NUMERICAL MODEL; PARAMETERIZATION; UPSCALING;

EID: 77956784640     PISSN: 00983004     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cageo.2010.03.008     Document Type: Article

References (33)

1. Attinger S., Eberhard J., Neuss N. Filtering procedures for flow in heterogeneous porous media: numerical results. Computing and Visualization in Science 2002, 5(2):67-72.
2. Bear J. Dynamics of Fluids in Porous Media 1972, American Elsevier Publishing Company, New York, 764pp.
3. Bierkens M.F.P., Weerts H.J.T. Block hydraulic conductivity of cross-bedded fluvial sediments. Water Resources Research 1994, 30(10):2665-2678.
4. Dagan G. Statistical theory of groundwater flow and transport: pore to laboratory, to formation, and formation to regional scale. Water Resources Research 1986, 22(9):120S-134S.
5. Dagan G. Flow and Transport in Porous Formations 1989, Springer-Verlag GmbH & Co KG, Heidelberg, 470pp.
6. Deutsch C.V., Journel A.G. GSLIB, Geostatistical Software Library and User's Guide 1998, Oxford University Press, New York, 384pp. second ed.
7. Deutsch C.V., Tran T.T. Fluvsim: a program for object-based stochastic modeling of fluvial depositional systems. Computers & Geosciences 2002, 28(4):525-535.
8. Farmer C.L. Upscaling: a review. International Journal for Numerical Methods in Fluids 2002, 40(1-2):63-78.
9. Freeze R.A., Cherry J.A. Groundwater 1979, Prentice-Hall, Englewood Cliffs, 604pp.
10. Gautier Y., Noetinger B. Preferential flow-paths detection for heterogeneous reservoirs using a new renormalization technique. Transport in Porous Media 1997, 26(1):1-23.
11. Gelhar L.W., Axness C.L. Three dimensional stochastic analysis of macrodispersion in aquifers. Water Resources Research 1983, 19(1):161-180.
12. Giudici M., Vassena C. About the symmetry of the upscaled equivalent transmissivity tensor. Mathematical Geology 2007, 39(4):399-408.
13. Gómez-Hernández, J.J., 1991. A stochastic approach to the simulation of block conductivity values conditioned upon data measured at a smaller scale. Ph.D. Dissertation, Stanford University, California, USA, 351pp.
14. Gómez-Hernández J.J., Journel A.G. Joint sequential simulation of multi gaussian fields. Geostatistics Tróia'92 1993, vol. 1:85-94. Kluwer Academic Publishers, Dordrecht.
15. Gómez-Hernández J.J., Wen X. Probabilistic assessment of travel times in groundwater modeling. Stochastic Hydrology and Hydraulics 1994, 8(1):19-56.
16. Harbaugh, A.W., Banta, E.R., Hill, M.C., McDonald, M.G., 2000. MODFLOW-2000, the U.S. geological survey modular ground-water model-user guide to modularization concepts and the ground-water flow process. Technical Report Open-File Report 00-92, U.S. Department of the Interior, U.S. Geological Survey, Reston, Virginia, 121pp.
17. Hill, M.C., 2003. Preconditioned conjugate-gradient 2 (PCG2), a computer program for solving ground-water flow equations. Technical Report Water-Resources Investigations Report 90-4048, U.S. Department of the Interior, U.S. Geological Survey, Denver, Colorado, 25pp.
18. Indelman P., Dagan G. Upscaling of permeability of anisotropic heterogeneous formations: 1. The general framework. Water Resources Research 1993, 29(4):917-923.
19. Lake L.W. The origins of anisotropy. Journal of Petroleum Technology 1988, 40(4):395-396.
20. Landau L.D., Lifshitz E.M. Electrodynamics of Continuous Media 1960, Pergamon Press, Oxford, 417pp.
21. Li, L., Zhou, H., Gómez-Hernández, J.J., 2010. Steady-state saturated groundwater flow modeling with full tensor conductivities using finite differences. Computers & Geosciences. this issue, doi:. http://dx.doi:10.1016/j.cageo.2010.04.002.
22. Matheron G.F. Éléments pour une théorie des milieux poreux (Elements for a theory of porous media) 1967, Mason Et Cie, Paris, 168pp.
23. Neuman S.P., Orr S. Prediction of steady state flow in nonuniform geologic media by conditional moments: exact nonlocal formalism, effective conductivities, and weak approximation. Water Resources Research 1993, 29(2):341-364.
24. Nœtinger B., Artus V., Zargar G. The future of stochastic and upscaling methods in hydrogeology. Hydrogeology Journal 2005, 13(1):184-201.
25. Pickup G., Ringrose P., Jensen J., Sorbie K. Permeability tensors for sedimentary structures. Mathematical Geology 1994, 26(2):227-250.
26. Press W.H., Flannery B.P., Teukolsky S.A., Vetterling W.T. Numerical Recipes, C 1988, Cambridge University Press, Cambridge, 735pp.
27. Rehfeldt K.R., Boggs J.M., Gelhar L.W. Field study of dispersion in a heterogeneous aquifer 3. Geostatistical analysis of hydraulic conductivity. Water Resources Research 1992, 28(12):3309-3324.
28. Renard P., Marsily G.D. Calculating equivalent permeability: a review. Advances in Water Resources 1997, 20(5-6):253-278.
29. Rubin Y., Gómez-Hernández J.J. A stochastic approach to the problem of upscaling of conductivity in disordered media, theory and unconditional numerical simulations. Water Resources Research 1990, 26(4):691-701.
30. Sanchez-Vila X., Guadagnini A., Carrera J. Representative hydraulic conductivities in saturated groundwater flow. Reviews of Geophysics 2006, 44:RG3002.
31. Vermeulen P.T.M., te Stroet C.B.M., Heemink A.W. Limitations to upscaling of groundwater flow models dominated by surface water interaction. Water Resources Research 2006, 42(10):W10406.
32. Wen X., Durlofsky L., Edwards M. Use of border regions for improved permeability upscaling. Mathematical Geology 2003, 35(5):521-547.
33. Wen X., Gómez-Hernández J.J. Upscaling hydraulic conductivities: an overview. Journal of Hydrology 1996, 183(1-2):9-32.