Modelling and Numerical Simulations of Contaminant Transport in Naturally Fractured Porous Media

Transport in Porous Media

Volumn 26, Issue 1, 1997, Pages 25-49

  Kischinhevsky, Mauricio ^a,b   Paes Leme, Paulo Jorge ^c  

^a FLUMINENSE FEDERAL UNIVERSITY   (Brazil)

^b PURDUE UNIVERSITY   (United States)

^c NONE

Author keywords

Naturally fractured media; Nuclear contaminant transport; Saturated formations; Unsaturated formations

Indexed keywords

COMPRESSIBLE FLOW; COMPUTER SIMULATION; GEOLOGICAL REPOSITORIES; GROUNDWATER FLOW; MATHEMATICAL MODELS; POROUS MATERIALS; RADIOACTIVE WASTES;

INCOMPRESSIBLE UNDERGROUND FLOWS; NATURALLY FRACTURED POROUS MEDIA;

GROUNDWATER POLLUTION;

FRACTURE; MODELLING; POLLUTANT TRANSPORT; POROUS MEDIA; SIMULATION-NUMERICAL;

CONTAMINANT TRANSPORT; FRACTURED MEDIUM; FRACTURED ROCK; MODEL; POROUS MEDIUM; RADIOACTIVE WASTE DISPOSAL; RADIOACTIVE WASTE STORAGE;

EID: 0031007659     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006506328004     Document Type: Article

References (43)

1. Abelin, H., Birgersson, L., Moreno, L., Widén, H., Ågren, T. and Neretnieks, I.: 1991, A large-scale flow and tracer experiment in granite 2. results and interpretation, Water Resour. Res. 27(12), 3119-3135.
2. Anderson, D. A., Tannehill, J. C. and Pletcher, R. H.: 1984, Computational Fluid Mechanics and Heat Transfer, Hemisphere Publ. Corporation.
3. Arbogast, T.: 1988, The double porosity model for single phase flow in naturally fractured reservoirs; in: M. Wheeler (ed.), Numerical Simulation in Oil Recovery, 11, IMA Vol. Math. Appl., Springer-Verlag, 47-66.
4. Barenblatt, G. I., Entov, V. M. and Ryzhik, V. M.: 1990, Theory of Fluid Flows through Natural Rocks, Kluwer Acad. Publ., Dordrecht.
5. Barenblatt, G. I., Zheltov, Y. P. and Kochina, I. N.: 1960, Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks, J. Appl. Math. Mech. 24, 1286-1303.
6. Bear, J.: 1975, Dynamics of Fluids in Porous Media, Elsevier, New York.
7. Bibby, R.: 1981, Mass transport of solutes in dual-porosity media, Water Resour. Res. 17(4), 1075-1081.
8. Bodvarsoon, G. S., Noorishad, J. and Long, J. C. S.: Nuclear waste fund: development of hydrologic models and applications to field test designs for unsaturated fractured tuff formations, US 183, Lawrence Berkeley Laboratory Report.
9. Cushman, J. H., Hu, X. and Ginn, T. R.: 1994, Nonequilibrium statistical mechanics of preasymptotic dispersion, J. Stat. Phys. 75(5/6), 859-878.
10. Douglas, Jr, J., Arbogast, T. and Paes-Leme, P. J.: 1989, Two models for the water-flooding of naturally fractured reservoirs, Proceedings, Tenth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, Texas, SPE 18425, pp. 219-225.
11. Douglas, Jr., J. and Arbogast, T.: 1990, Dual porosity models for flow in naturally fractured reservoirs, in: J. H. Cushman, (ed), Dynamics of Fluids in Hierarchical Porous Formations, Academic Press, New York, pp. 177-221.
12. Douglas, Jr, J., Arbogast, T., Paes-Leme, P. J., Hensley, J. L. and Nunes, N. P.: 1993, Immiscible displacement in vertically fractured reservoirs, Transport in Porous Media, 12, 73-106.
13. Douglas, Jr, J., Paes-Leme, P. J., Arbogast, T. and Schmitt, T.: 1987, Simulation of flow in naturally fractured petroleum reservoirs, Ninth SPE Symposium on Reservoir Simulation, Society of Petroleum Engineers, Dallas, Texas, Paper SPE 16019, pp. 271-279.
14. Douglas, Jr., J., Paes-Leme, P. J. and Hensley, J. L.: 1991. A limit form of the equations for immiscible displacement in a fractured reservoir, Transport in Porous Media 6, 549-565.
15. Dykhuizen, R. C.: 1990, A new coupling term for dual-porosity models, Water Resour. Res. 26, 351-356.
16. Dykhuizen, R. C.: 1991, Reply to Comment by Maloszewski and Zuber, Water Resour. Res. 27, 2153.
17. Gale, J., Taylor, R. L., Whiterspoon, P. and Ayatollahi, M. S.: 1974, Flow in rocks with deformable fractures, in: Oden, ZienKrewig, Gallagher and Taylor (eds), Finite Element Methods in Flow Problems, pp. 583-598.
18. Gupta, A. D.: 1990, Accurate resolution of physical dispersion in the multidimensional numerical modelling of miscible and chemical displacement, SPE Reservoir Eng. November, 581-588.
19. Harten, A.: 1983, High resolution schemes for hyperbolic conservation laws, J. Comput. Phys. 49, 357-393.
20. Kang, C. H., Chambré, P. L., Pigford, T. H. and Lee, W. W.-L.: 1991, Near-field transport of radioactive chains, in: Proceedings of the 2nd Annual International Conference on High Level Radioactive Waste Management, Las Vegas, pp. 1054-1060.
21. Kischinhevsky, M.: 1993, Modelagem e simulação numérica paralela do escoamento de fluidos com contaminantes radioativos em meios porosos naturalmente fraturados, Ph.D. Thesis, PUC/RJ [in Portuguese].
22. Lindblom, U.: 1983, Influence of the temperature on groundwater movements in jointed rock masses with application to radioactive waste disposal, 5th Int. Conf. Rock Mechanics, Montreux.
23. Long, J., Remer, J., Wilson, C. and Witherspoon, P.: 1982, Porous media equivalents for networks of discontinuous fractures, Water Resour. Res. 18(3), 645-658.
24. Maloszewski, P. and Zuber, A.: 1992, On the calibration and validation of mathematical models for the interpretation of tracer experiments in groundwater Adv. Water Resour. 15, 47-62.
25. Moreno, L., Tsang, Y. W., Tsang, C. F., Hale, F. V., and Neretnieks, I.: 1988, Flow and tracer transport in a single fracture: A stochastic model and its relation to some field observations, Water Resour. Res. 24(12), 2033-2048.
26. Moreno, L., Tsang, C.F., Tsang, Y.W., and Neretnieks, I.: 1990, Some anomalous features of flow and solute transport arising from fracture aperture variability, Water Resour. Res. 26(10), 2377-2391.
27. Paes-Leme, P. J., Malamut, C., Paschoa, A.S., Pontedeiro, E. and Saad, S.: 1991, Two double porosity models for groundwater radioactive contamination, Int. High Level Rad. Waste Conf.; Las Vegas.
28. Paes-Leme, P. J., Malamut, C. and Pontedeiro, E.: 1992, Modelos de Dupla Porosidade na Dispersão de Rejeitos de Alto Nível, IV Congresso Geral de Energia Nuclear; Rio de Janeiro.
29. Pinto, A. C. C., Corrêa, A. C. F., Cunha, M. C. C.: 1993, High resolution schemes for conservation laws - applications to reservoir engineering, SPE Paper No. 24262.
30. Pruess, K., Wang, J. S. Y., Tsang, Y. W.: 1990, On thermohydrologic conditions near high-level nuclear wastes emplaced in partially saturated fractured tuff 1. Simulation studies with explicit consideration of fracture effects, Water Resour. Res. 26(6), 1235-1248.
31. Pruess, K., Wang, J. S. Y. and Tsang, Y. W.: 1990, On Thermohydrologic conditions near high-level nuclear wastes emplaced in partially saturated fractured tuff 2. Effective continuum approximation, Water Resour. Res. 26(6), 1249-1261.
32. Pruess, K. and Wu, Y-S.: 1993, A new semi-analytical method for numerical simulation of fluid and heat flow in fractured rocks, SPE Adv. Technol. Ser. 1(2), 63-72.
33. Rasmussen, T. C.: 1981, Diffusion and sorption in particles and two-dimensional dispersion in a porous medium, Water Resour. Res. 17(2), 321-328.
34. Rasmussen, T.C.: 1991, Steady fluid flow and travel times in partially saturated fractures using a discrete air-water interface, Water Resour. Res. 27(1), 67-76.
35. Rouleau, A. and Gale, J.: 1987, Stochastic discrete fractures simulation of groundwater flow into an underground excavation in granite, Int. J. Rock Mech. Mineral Sci., 24(2), 99-112.
36. Rubin, B. and Blunt, M.J.: 1991, Higher-order implicit flux limiting schemes for black-oil simulation, SPE Paper No. 21222, February.
37. Russell, T. F. and Wheeler, M. F.: 1983, Finite element and finite difference methods for continuous flows in porous media, in: The Mathematics of Reservoir Simulation SIAM, Chapter II.
38. Samamego, J. A. et al.: 1984, The prediction of water flow through discontinuity networks into underground excavations, in: Int. Sem. on the Design and Performance of Underground Excavations, Cambridge Univ. Press.
39. Sweby, P. K.: 1984, High resolution schemes using flux limiters for hyperbolic conservation laws, SIAM J. Numer. Anal. 21(5), October.
40. Tsang, Y. W., Tsang, C. F., Neretnieks, I. and Moreno, L.: 1988, Flow and tracer transport in fractured media: a variable aperture channel model and its properties, Water Resour. Res., 24(12), 2049-2060.
41. Warren, J. E. and Root, P. J.: 1963, The behavior of naturally fractured reservoirs, Soc. Pet. Eng. J. 3, 245-255.
42. Witherspoon, P.: 1986, Flow of groundwater in fractured rocks, Bull. Int. Association of Engineering Geology, Vol. 34.
43. Zimmerman, R. W., Chen, G., Hadgu, T. and Bodvarsson, G.S.: 1993, A numerical dual-porosity model with semi-analytical treatment of fracture/matrix flow, Water Resour. Res. 29(7), 2127-2137.