Influence of constitutive model parameters on the predicted migration of DNAPL in heterogeneous porous media

Water Resources Research

Volumn 39, Issue 10, 2003, Pages

  Gerhard, J I ^a,b   Kueper, B H ^a  

^a QUEEN S UNIVERSITY   (Canada)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

Capillary pressure; Constitutive relationships; DNAPL; Multiphase flow; Numerical modeling; Relative permeability

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; MECHANICAL PERMEABILITY; POROSITY;

CAPILLARY PRESSURE; SATURATED POROUS MEDIA;

WATER RESOURCES;

CAPILLARY PRESSURE; HETEROGENEOUS MEDIUM; MATHEMATICAL MODELING; MULTIPHASE FLOW; PERMEABILITY; POROUS MEDIUM;

EID: 1542646918     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2002WR001570     Document Type: Article

References (37)

1. Abriola, L. M., and G. F. Pinder, A multiphase approach to the modeling of porous media contaminated by organic compounds: 2. Numerical simulations, Water Resour. Res., 21(1), 1-26, 1985.
2. Aziz, K., and A. Settari, Petroleum Reservoir Simulation, 476 pp., Appl. Sci., London, 1979.
3. Bear, J., Dynamics of Fluids in Porous Media, 764 pp., Dover, Mineola, N.Y., 1972.
4. Behie, G. A., and P. A. Forsyth, Incomplete factorization methods for fully implicit simulation of enhanced oil recovery, SIAM J. Sci. Stat. Comput., 5(3), 543-561, 1984.
5. Bradford, S. A., L. M. Abriola, and K. M. Rathfelder, Flow and entrapment of dense, nonaqueous phase liquids in physically and chemically heterogeneous aquifer formations, Adv. Water Resour., 22(2), 117-132, 1998.
6. Brewster, M. L., A. P. Annan, J. P. Greenhouse, B. H. Kueper, G. R. Olhoeft, J. D. Redman, and K. A. Sander, Observed migration of a controlled DNAPL release by geophysical methods, Ground Water, 33(6), 977-987, 1995.
7. Brooks, R. H., and A. T. Corey, Hydraulic properties of porous media, Hydrol. Pap. 3, Dep. of Civ. Eng., Colo. State Univ., Fort Collins, Colo., 1964.
8. Burdine, N. T., Relative permeability calculations from pore size distribution data, Trans. Am. Inst. Metall. Pet. Eng., 198, 71-78, 1953.
9. Corey, A. T., Mechanics of Immiscible Fluids in Porous Media, 252 pp., Water Resour. Publ., Highlands Ranch, Colo., 1994.
10. Dekker, T. J., and L. M. Abriola, The influence of field-scale heterogeneity on the infiltration and entrapment of dense, nonaqueous phase liquids in saturated formations, J. Contam. Hydrol., 42, 197-218, 2000.
11. Demond, A. H., and P. V. Roberts, An examination of relative permeability relations for two-phase flow in porous media, Water Resour. Bull., 23(4), 617-628, 1987.
12. Demond, A. H., and P. V. Roberts, Estimation of two-phase relative permeability relationships for organic liquid contaminants, Water Resour. Res., 29(4), 1081-1090, 1993.
13. Essaid, H. I., W. N. Herkelrath, and K. M. Hess, Simulation of fluid distributions observed at a crude oil spill site including hysteresis, oil entrapment, and spatial variability of hydraulic properties, Water Resour. Res., 29(6), 1753-1770, 1993.
14. Gerhard, J. I., and B. H. Kueper, Capillary pressure characteristics necessary for simulating DNAPL infiltration, redistribution, and immobilization in saturated porous media, Water Resour., 39(8), 1212 doi:10.1029/ 2002WR001270, 2003a.
15. Gerhard, J. I., and B. H. Kueper, Relative permeability characteristics necessary for simulating DNAPL infiltration, redistribution, and immobilization in saturated porous media. Water Resour., 39(8), 1213, doi:10.1029/2002WR001490, 2003b.
16. Gerhard, J. I., B. H. Kueper, and G. R. Hecox, The influence of waterflood design on the recovery of mobile DNAPLs, Ground Water, 36(2), 283-292, 1998.
17. Gerhard, J. I., B. H. Kueper, G. R. Hecox, and E. J. Schwarz, Site-specific design for dual phase recover and stabilization of pooled DNAPL, Ground Water Monit. Rem., XXI(2), 71-88, 2001.
18. Illangasekare, T. H., J. L. Ramsey Jr., K. H. Jensen, and M. B. Butts, Experimental study of the movement and distribution of dense organic contaminants in heterogeneous aquifers, J. Contam. Hydrol., 20, 125, 1995.
19. 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.
20. Kueper, B. H., and E. O. Frind, Two-phase flow in heterogeneous porous media: 2. Model application, Water Resour. Res., 27(6), 1059-1070, 1991b.
21. 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.
22. Kueper, B. H., W. Abbot, and G. Farquhar, Experimental observations of multiphase flow in heterogeneous porous media, J. Contam. Hydrol., 5, 83-95, 1989.
23. Kueper, B. H., J. D. Redman, R. C. Starr, S. Reitsma, and M. Mah, A field experiment to study the behaviour of tetrachloroethylene below the water table: Spatial distribution of residual and pooled DNAPL, Ground Water, 31(5), 756-766, 1993.
24. Leverett, M. C., Capillary behaviour in porous solids, Trans. Am. Inst. Min. Metall. Pet. Eng., 142, 152-170, 1941.
25. McWhorter, D. B., and D. K. Sunada, Exact integral solutions for two-phase flow, Water Resour. Res., 26, 399-413, 1990.
26. Naar, J., R. J. Wygal, and J. H. Henderson, Imbibition relative permeability in unconsolidated porous media, SPE J., 13-17 March, 1962.
27. Oostrom, M., C. Hofstee, R. C. Walker, and J. H. Dane, Movement and remediation of trichloroethylene in a saturated heterogeneous porous medium: 1. Spill behaviour and initial dissolution, J. Contam. Hydrol., 37, 159-178, 1999.
28. Parker, J. C., and R. J. Lenhard, Vertical integration of three-phase flow equations for analysis of light hydrocarbon plume movement, Trans. Porous Media, 5, 187-206, 1989.
29. Peaceman, D. W., Fundamentals of Numerical Reservoir Simulation, Elsevier Sci., New York, 1977.
30. Rathfelder, K., and L. M. Abriola, The influence of capillarity in numerical modeling of organic liquid redistribution in two-phase systems, Adv. Water Resour., 21(2), 159-170, 1998.
31. Reynolds, D. A., and B. H. Kueper, Numerical examination of the factors controlling DNAPL migration through a single fracture, Ground Water, 40(4), 368-377, 2002.
32. Robin, M. J. L., E. A. Sudicky, R. W. Gillham, and R. G. Kachanowski, Spatial variability of Strontium distribution coefficients and their correlation with hydraulic conductivity in the Canadian Forces Base Borden aquifer, Water Resour. Res., 27(10), 2619-2632, 1991.
33. Rosenburg, D. U., Methods for the Numerical Solution of Partial Differential Equations, 128 pp., Elsevier Sci, New York, 1969.
34. Schwille, F., Dense Chlorinated Solvents in Porous and Fractured Media Model Experiments, translated from the German by J. F. Pankow, 146 pp., Lewis, Chelsea, Mich., 1988.
35. Sleep, B. E., and J. F. Sykes, Compositional simulation of groundwater contamination by organic compounds: 1. Model development and verification, Water Resour. Res., 29, 1697-1708, 1993.
36. Stonestrom, D. A., and J. Rubin, Air permeability and trapped air content in two soils, Water Resour. Res., 25(9), 1959-1969, 1989.
37. 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.