On the effective hydraulic conductivity in mean vertical unsaturated steady flows

Advances in Water Resources

Volumn 28, Issue 9, 2005, Pages 964-974

  Severino, Gerardo ^a   Santini, Alessandro ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Effective hydraulic conductivity; Heterogeneity; Stochastic modelling; Unsaturated flow

Indexed keywords

ANISOTROPY; CORRELATION METHODS; HYDRAULIC CONDUCTIVITY; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; RANDOM PROCESSES; SOILS;

EFFECTIVE HYDRAULIC CONDUCTIVITY (EHC); FLOW VARIABLES; ISOTROPIC MEDIA; RANDOM SPACE FUNCTION (RSF);

STEADY FLOW;

HYDRAULIC CONDUCTIVITY; STOCHASTIC METHOD;

HYDRAULIC CONDUCTIVITY; STOCHASTICITY;

EID: 23444456729     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2005.03.003     Document Type: Article

References (52)

1. J. Andersson A.M. Shapiro Stochastic analysis of one-dimensional steady state unsaturated flow: A comparison of Monte Carlo and perturbation methods Water Resour Res 19 1983 121-133
2. A. Basile G. Ciollaro A. Coppola Hysteresis in soil water characteristics as a key to interpreting comparisons of laboratory and field measured hydraulic properties Water Resour Res 39 SBH 2003 13-21
3. M.J. Beran Statistical continuum theories 1968 Interscience New York
4. Brooks PM, Corey AT. Hydraulic properties in porous media. Hydrol. Paper 3. Fort Collins: University of Colorado
5. E. Byers D.B. Stephans Statistical and stochastic analyses of hydraulic conductivity and particle-size in fluvial sand Soil Sci Soc Am J 47 1983 1072-1081
6. G. Dagan E. Bresler Solute dispersion in unsaturated heterogeneous soil at field scale: Theory Soil Sci Soc Am J 43 1979 461-467
7. G. Dagan Flow and transport in porous formations 1989 Springer
8. A.J. Desbarats Upscaling capillary pressure-saturation curves in heterogeneous porous media Water Resour Res 31 1995 281-288
9. W.R. Gardner Some steady state solutions of unsaturated moisture flow equations with application to evaporation from a water table Soil Sci 85 1958 228-232
10. L.W. Gelhar Stochastic subsurface hydrology 1993 Prentice Hall
11. J. Glimm B. Lindquist F. Pereira R. Peierls The multi-fractal hypothesis and anomalous diffusion Matematica Aplicada e Computacional 11 1992 189-207
12. T.R. Green D.L. Freyberg State-dependent anisotropy: Comparisons of quasi-analytical solutions with stochastic results for steady gravity drainage Water Resour Res 31 1995 2201-2212
13. Th. Harter T.-C.J. Yeh Stochastic analysis of solute transport in heterogeneous, variably saturated soils Water Resour Res 32 1996 1585-1595
14. Th. Harter D. Zhang Water flow and solute spreading in heterogeneous soils with spatially variable water content Water Resour Res 35 1999 415-426
15. P. Indelman D. Or Y. Rubin Stochastic analysis of unsaturated steady state flow through bounded heterogeneous formations Water Resour Res 29 1993 1141-1147
16. P. Indelman G. Dagan Upscaling of permeability of anisotropic heterogeneous formations: 1. The general approach Water Resour Res 29 1993 917-923
17. P. Indelman Averaging of unsteady flows in heterogeneous media of stationary conductivity J Fluid Mech 310 1996 39-60
18. P. Indelman G. Dagan Solute transport in divergent radial flow through heterogeneous porous media J Fluid Mech 384 1999 159-182
19. I. Jankovic A. Fiori G. Dagan Flow and transport in highly heterogeneous formations: 3. Numerical simulations and comparison with theoretical results Water Resour Res 39 SBH 2003 16-21
20. A.G. Journel C.J. Huijbregts Mining geostatistics 1978 Academic Press New York
21. W.A. Jury D. Russo G. Sposito The spatial variability of water and solute transport properties in unsaturated soil, II Anal Scaling Theory Hilgardia 55 1987 33-57
22. P. Kitanidis Effective hydraulic conductivity for gradually varying flow Water Resour Res 26 1990 1197-1208
23. A. Mantoglou L.W. Gelhar Stochastic modeling of large scale transient unsaturated flow systems Water Resour Res 23 1987 37-46
24. G.W. Milton The theory of composites 2002 Cambridge University Press
25. Y. Mualem A new model for predicting the hydraulic conductivity of unsaturated porous media Water Resour Res 12 1976 513-522
26. D.R. Nielsen J.W. Biggar K.T. Erh Spatial variability of field measured soil-water properties Hilgardia 42 1973 215-259
27. P.A.C. Raats Analytical solutions of a simplified equation Trans ASAE 19 1976 683-689
28. R. Ragab J.D. Cooper Variability of unsaturated zone water transport parameters: Implications for hydrological modelling. 1. In-situ measurements J Hydrol 148 1993 109-131
29. R. Ragab J.D. Cooper Variability of unsaturated zone water transport parameters: Implications for hydrological modelling. 2. Predicted vs. in-situ measurements and evaluation methods J Hydrol 148 1993 133-147
30. Ph. Renard G. de Marsily Calculating equivalent permeability: A review Adv Water Resour 20 1997 253-278
31. W.D. Reynolds D.E. Elrick In-situ measurement of field-saturated hydraulic conductivity, sorptivity, and the α-parameter using the Guelph permeameter Soil Sci 140 1985 292-302
32. Y. Rubin J.J. Gomez-Hernanandez A stochastic approach to the problem of upscaling of conductivity in disordered media: Theory and unconditional numerical simulations Water Resour Res 26 1990 671-691
33. D. Russo E. Bresler Soil hydraulic properties as stochastic processes. 1. Analysis of field spatial variability Soil Sci. Soc. Am. J. 45 1981 682-687
34. D. Russo Upscaling of hydraulic conductivity in partially saturated heterogeneous formation Water Resour Res 28 1992 397-409
35. D. Russo M. Bouton Statistical analysis of spatial variability in unsaturated flow parameters Water Resour Res 28 1992 1911-1925
36. D. Russo Stochastic modeling of macrodispersion for solute transport in a heterogeneous unsaturated porous formation Water Resour Res 29 1993 383-397
37. D. Russo On the velocity covariance and transport modeling in heterogeneous anisotropic porous formations. 2. Unsaturated flow Water Resour Res 31 1995 139-145
38. D. Russo I. Russo A. Laufer On the spatial variability of parameters of the unsaturated hydraulic conductivity Water Resour Res 33 1997 947-956
39. D. Russo Upscaled conductivity in gravity-dominated flow through variably saturated heterogeneous formations Water Resour Res 39 SBH 2003 7-11
40. G. Severino A. Santini A. Sommella Determining the soil hydraulic conductivity by means of a field scale internal drainage J Hydrol 273 2003 234-248
41. D.M. Tartakovsky S.P. Neuman Z. Lu Conditional stochastic averaging of steady state unsaturated flow by means of Kirchhoff transformation Water Resour Res 35 1999 731-745
42. D.M. Tartakovsky A. Guadagnini M. Riva Stochastic averaging of nonlinear flows in heterogeneous porous media J Fluid Mech 492 2003 47-62
43. K. Ünlü D.R. Nielsen J.W. Biggar F. Morkoc Statistical parameters characterizing the spatial variability of selected soil hydraulic properties Soil Sci Soc Am J 54 1990 1537-1547
44. M.T. van Genuchten A closed-form equation for predicting the hydraulic conductivity of unsaturated soils Soil Sci Soc Am J 44 1980 892-898
45. I. White M.J. Sully Macroscopic and microscopic capillary length and time scales from field infiltration Water Resour Res 23 1987 1514-1522
46. I. White M.J. Sully On the variability and use of the hydraulic conductivity alpha parameter in stochastic treatment of unsaturated flow Water Resour Res 28 1992 209-213
47. T.-C.J. Yeh L.W. Gelhar A. Gutjahr Stochastic analysis of unsaturated flow in heterogenous soils. 1. Statistically isotropic media Water Resour Res 21 1985 447-456
48. T.-C.J. Yeh L.W. Gelhar A. Gutjahr Stochastic analysis of unsaturated flow in heterogenous soils. 2. Statistically anisotropic media with variable α Water Resour Res 21 1985 457-464
49. T.-C.J. Yeh L.W. Gelhar A. Gutjahr Stochastic analysis of unsaturated flow in heterogenous soils. 3. Observations and applications Water Resour Res 21 1985 465-471
50. D. Zhang C.L. Winter Nonstationary stochastic analysis of steady-state flow through variably saturated, heterogeneous media Water Resour Res 34 1998 1091-1100
51. D. Zhang T.C. Wallstrom C.L. Winter Stochastic analysis of steady-state unsaturated flow in heterogeneous media: Comparison of the Brooks-Corey and Gardner-Russo models Water Resour Res 34 1998 1437-1449
52. D. Zhang Stochastic methods for flow in porous media 2002 Academic Press