Stochastic analysis of three-phase flow in heterogeneous porous media: 2. Numerical simulations

Water Resources Research

Volumn 33, Issue 7, 1997, Pages 1559-1566

  Abdin, Alaa E ^a   Kaluarachchi, Jagath J ^a  

^a Utah State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

PERMEABILITY; POROUS MEDIA; THREE PHASE FLOW;

HETEROGENEITY; POROUS MEDIUM; STOCHASTIC ANALYSIS; THREE PHASE FLOW;

EID: 0030792132     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/97WR00042     Document Type: Article

References (29)

1. Ababou, R. D., Mclaughlin, and L. W. Gelhar, Numerical simulation of three-dimensional saturated flow in randomly heterogeneous porous media, Transp. Porous Media, 4, 549-565, 1989.
2. Abdin, A., and J. J. Kaluarachchi, Stochastic analysis of three-phase flow in heterogeneous porous media, 1, Spectral/perturbation approach, Water Resour. Res., this issue.
3. Abdin, A., J. J. Kaluarachchi, C.-M. Chang, and M. W. Kemblowski, Stochastic analysis of multiphase flow in porous media, II, Comparison with Monte Carlo simulations, Transp. Porous Media, 19(3), 261-280, 1995.
4. Abdin, A., J. J. Kaluarachchi, C.-M. Chang, and M. W. Kemblowski, Stochastic analysis of multiphase flow in porous media, II, Comparison with Monte Carlo simulations, Stochastic Hydrol. Hydraul., 10, 231-251, 1996.
5. Anderson, J., and A. M. Shapiro, Stochastic analysis of one-dimensional steady state unsaturated flow: A comparison of Monte Carlo and perturbation methods, Water Resour. Res., 19(1), 121-133, 1983.
6. Baehr, A. L., G. E. Hoag, and M. C. Marley, Removing volatile contaminants from the unsaturated zone using advective air-phase transport, J. Contam. Hydrol., 4, 1-26, 1989.
7. Bakr, A., L. W. Gelhar, A. L. Gutjahr, and J. R. MacMillan, Stochastic analysis of spatial variability in subsurface flows, 1, Comparison of one-and three-dimensional flows, Water Resour. Res., 14(2), 263-271, 1978.
8. Bear, J., Dynamics of Fluids in Porous Media, Dover, Mineola, N. Y., 1972.
9. Chang, C.-M., M. W. Kemblowski, J. J. Kaluarachchi, and A. Abdin, Stochastic analysis of multiphase flow in porous media, I, Spectral/ perturbation analysis, Transp. Porous Media, 19(3), 233-259, 1995a.
10. Chang, C.-M., M. W. Kemblowski, J. J. Kaluarachchi, and A. Abdin, Stochastic analysis of multiphase flow in porous media, I, Spectral/ perturbation approach, Stochastic Hydrol. Hydraul., 9, 239-267, 1995b.
11. Dagan, G., Flow and Transport in Porous Formations, 465 pp., Springer-Verlag, New York, 1982.
12. Essaid, H. I., and K. M. Hess, Monte Carlo simulation of multiphase flow incorporating spatial variability of hydraulic properties, Ground Water, 31(1), 123-134, 1993.
13. Gelhar, L. W., Stochastic subsurface hydrology from theory to applications, Water Resour. Res., 22(9), 135S-145S, 1986.
14. Hopmans, J. W., H. Schukking, and P. J. J. Torfs, Two-dimensional steady state unsaturated flow in heterogeneous soils with autocorrelated soil hydraulic properties, Water Resour. Res., 24(12), 2005-2017, 1988.
15. IMSL, Inc., Fortran Subroutines for Mathematics and Statistics, edition 9.2, Houston, Tex., 1984.
16. Johnson, P. C., M. W. Kemblowski, and J. D. Colthart, Quantitative analysis for the cleanup of hydrocarbon-contaminated soils by in-situ soil venting, Ground Water, 28(3), 415-429, 1990.
17. Kemblowski, M. W., and C.-M. Chang, Infiltration in soils with fractal permeability distribution, Ground Water, 31(2), 187-192, 1993.
18. Kueper, B. H., and E. O. Frind, Two-phase flow in heterogeneous porous media, 1, Model development, Water Resour. Res., 27(6), 1049-1057, 1991a.
19. Kueper, B. H., and E. O. Frind, Two-phase flow in heterogeneous porous media, 2, Model applications, Water Resour. Res., 27(6), 1058-1070, 1991b.
20. Kueper, B. H., and J. I. Gerhard, Variability of point source infiltration rates for two-phase flow in heterogeneous porous media, Water Resour. Res., 31(12), 2971-2980, 1995.
21. Mantoglou, A., and L. W. Gelhar, Stochastic modeling of large-scale transient unsaturated flow systems, Water Resour. Res., 23(1), 37-46, 1987a.
22. Mantoglou, A., and L. W. Gelhar, Capillary tension head variance, mean soil moisture content, and effective specific soil moisture capacity of transient unsaturated flow in stratified soils, Water Resour. Res., 23(1), 47-56, 1987b.
23. Mantoglou, A., and J. Wilson, The turning band methods for simulation of random fields using line generation by a spectral method, Water Resour. Res., 18(5), 1379-1394, 1982.
24. Parker, J. C., R. J. Lenhard, and T. Kuppusamy, A parametric model for constitutive properties governing multiphase flow in porous media, Water Resour. Res., 23(4), 618-624, 1987.
25. Unlu, K., D. R. Nielsen, and J. W. Biggar, Stochastic analysis of unsaturated flow: One-dimensional Monte Carlo simulations and comparisons with spectral perturbation analysis and field observations, Water Resour. Res., 26(9), 2207-2218, 1990.
26. van Genuchten, M. T., A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892-898, 1980.
27. Yeh, T.-C. J., One-dimensional steady state infiltration in heterogeneous soils, Water Resour. Res., 25(10), 2149-2158, 1989.
28. Yeh, T.-C., J., L. W. Gelhar, and A. L. Gutjahr, Stochastic analysis of unsaturated flow in heterogeneous soils, 1, Statistically isotropic media, Water Resour. Res., 21(4), 447-456, 1985a.
29. Yeh, T.-C. J., L. W. Gelhar, and A. L. Gutjahr, Stochastic analysis of unsaturated flow in heterogeneous soils, 2, Statistically anisotropic media with variable α, Water Resour. Res., 21(4), 457-464, 1985b.