Stochastic analysis of three-phase flow in heterogeneous porous media: 1. Spectral/perturbation approach

Water Resources Research

Volumn 33, Issue 7, 1997, Pages 1549-1558

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

^a Utah State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

POROUS MEDIA; THREE PHASE FLOW;

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

EID: 0030745570     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/96WR00041     Document Type: Article

References (30)

1. Abdin, A., and J. J. Kaluarachchi, Stochastic analysis of three-phase flow in heterogeneous porous media, 2, Numerical simulations, Water Resour. Res., this issue.
2. Abdin, A., J. J. Kaluarachchi, M. W. Kemblowski, and C.-M. Chang, Stochastic analysis of two-phase flow in porous media, II, Comparison between perturbation and Monte Carlo results, Transp. Porous Media, 19, 261-280, 1995.
3. Abdin, A., J. J. Kaluarachchi, C.-M. Chang, and M. W. Kemblowski, Stochastic analysis of multiphase flow in porous media, II, Numerical simulations, Stochastic Hydrol. Hydraul., 10, 231-251, 1996.
4. Abriola, L., and G. F. Pinder, A multiphase approach to the modeling of porous media contamination by organic compounds, 1, Equation development, Water Resour. Res., 27(1), 11-18, 1985.
5. Bakr, A. 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.
6. Bear, J., Dynamics of Fluids in Porous Media, Dover, Mineola, N. Y., 1972.
7. Chang, C.-M., J.-C. Wen, and M. W. Kemblowski, Solute transport in saturated and unsaturated soils with self-similar log K distribution, in Proceedings of Conference on Computational Methods in Water Resources IX, edited by T. Russell et al., Elsevier, New York, 1992.
8. Chang, C.-M., and M. W. Kemblowski, J. J. Kaluarachchi, and A. Abdin, Stochastic analysis of two-phase flow in porous media, I, Spectral/perturbation approach, Transp. Porous Media, 19, 233-259, 1995a.
9. Chang, C.-M., and M. W. Kemblowski, J. J. Kaluarachchi, and A. Abdin, Stochastic analysis of multiphase flow in porous media, 1, Spectral/perturbation approach, Stochastic Hydrol. Hydraul., 9, 239-267, 1995b.
10. Chang, J., and Y. C. Yortsos, Effect of heterogeneity on Buckley-Leverett displacement, paper SPE 18798 presented at the SPE California Regional meeting, Bakersfield, Calif., 1989.
11. Dagan, G., Stochastic modeling of groundwater flow by unconditional and conditional probabilities, 2, The solute transport, Water Resour. Res., 18(4), 835-848, 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. Kaluarachchi, J. J., and J. C. Parker, An efficient finite element method for modeling multiphase flow, Water Resour. Res., 25(1), 43-54, 1989.
15. Kaluarachchi, J. J., and J. C. Parker, Modeling of multicomponent organic chemical transport in three phase porous media, J. Contam. Hydrol., 5, 349-374, 1990.
16. Kaluarachchi, J. J., J. C. Parker, and R. J. Lenhard, A numerical model for areal migration of water and light hydrocarbon in unconfined aquifers, Adv. Water Resour., 13, 29-40, 1990.
17. Kemblowski, M. W., and C.-M. Chang, Infiltration in soils with fractal permeability distribution, Ground Water, 31(2), 187-192, 1993.
18. Kemblowski, M. W., and J.-C. Wen, Contaminant spreading in stratified soils with fractal permeability distribution. Water Resour. Res., 29(2), 419-426, 1993.
19. Kirkham, D., Field methods for determination of air permeability of soils in its undisturbed state, Soil Sci. Soc. Am. Proc., 11, 93-99, 1946.
20. 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.
21. Kueper, B. H., and E. O. Frind, Two-phase flow in heterogeneous porous media, 1, Model applications, Water Resour. Res., 27(6), 1058-1070, 1991b.
22. 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.
23. Mantoglou, A., and L. W. Gelhar, Stochastic modeling of large-scale transient unsaturated flow systems, Water Resour. Res., 23(1), 37-46, 1987a.
24. Mantoglou, A., and L. W. Gelhar, Capillary tension head variation, mean soil content, and effective specific moisture capacity of transient unsaturated flow in stratified soils. Water Resour. Res., 23(1), 47-56, 1987b.
25. Muskat, M., and H. G. Botset, Flow of gas through porous materials, Physics, 1, 27-47, 1931.
26. Osborne, M., and J. Sykes, Numerical modeling of immiscible organic transport at the Hyde Park Landfill, Water Resour. Res., 22(1), 25-33, 1986.
27. Yen, 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.
30. Yortsos, Y. C., and J. Chang, Capillary effects in steady-state flow in heterogeneous cores, Transp. Porous Media, 5, 399-420, 1990.