Study of Single and Multiphase Flow in Fractured Porous Media, Using a Percolation Approach

Dynamic Fluids and Transport Through in Fractured Rock

Volumn , Issue , 2013, Pages 33-41

  Adler, P M ^a   Mourzenko, V V ^b   Thovert, J F ^b   Bogdanov, I ^a,b  

^a INSTITUT DE PHYSIQUE DU GLOBE DE PARIS   (France)

^b PTM/LCD   (France)

Author keywords

Groundwater flow Mathematical models; Rocks Permeability Mathematical models

Indexed keywords

GROUNDWATER; GROUNDWATER FLOW; SOLVENTS;

FRACTURED POROUS MEDIA;

POROUS MATERIALS;

EID: 84952886911     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1029/162GM05     Document Type: Chapter

References (28)

1. Adler, P.M. and Thovert, J.-F., Fractures and Fracture Networks, Kluwer Academic Publishers, Dordrecht, 1999.
2. Balberg, I., Anderson, C.H., Alexander, S. and Wagner, N., Excluded volume and its relation to the onset of percolation. Phys. Rev. E, 30, 3933-3943, 1984.
3. Barenblatt, G.I., Zheltov, LP. and Kochina, I.N., Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks, Soviet Appl Math. Mech. (P.M.M.), 24, 852-864, 1960.
4. Berkowitz, B., Characterizing flow and transport in fractured geological media: a review. Adv. Wat. Resour., 25, 861-884, 2002.
5. Bogdanov, I., Mourzenko, VV, Thovert, J.-F. and Adler, P.M., Effective permeability of fractured porous media in steady state flow, Water Resour. Res., 39, 10.1029/2001WR000756, 2003.
6. Bogdanov, I.I., Mourzenko, VV, Thovert, J.-F. and Adler, P.M., Twophase flow through fractured porous media. Phys. Rev., E 68, 026703, 2003b.
7. Bonnet, E., Bour, O., Odling, N. E., Davy, P., Main, I., Cowie, P., and Berkowitz, B., Scaling of fracture systems in geological media. Rev. Geophys., 39, 347-383, 2001.
8. Celia, M.A., Bouloutas, E.T. and Zarba, R.L., A general massconservative numerical solution for the unsaturated flow equation. Water Resour.Res., 26, 1483-1496, 1990.
9. Chen, J., Hopmans, J.W. and Grismer, M.E., Parameter estimation of two-fluid capillary pressure-saturation and permeability functions. Advances in Water Resources, 22, 479-493, 1999.
10. Fourar, M., A viscous coupling model for relative permeabilities in fractures. SPE paper 49006, presented at 1998 SPE Annual Technical Conference and Exhibition, New Orleans, Louisiana, 27-30 September, 1998.
11. Fourar, M. and Bories, S., Experimental study of air-water twophase flow through a fracture (narrow channel). Int. J. Multiphase Flow, 21, 621-637, 1995.
12. Hestir, K. and Long, J.C.S., Analytical expressions for the permeability of random two-dimensional Poisson fracture networks based on regular lattice percolation and equivalent media theories. J. Geophys. Res., 95, B13, 21, 565-21, 581, 1990.
13. Huseby, O., Thovert, J.-F. and Adler, P.M., Geometry and topology of fracture systems. J. Phys. A, 30, 1415-1444, 1990.
14. Koudina, N., Gonzalez Garcia, R., Thovert, J.-F. and Adler, P.M., Permeability of three-dimensional fracture networks, Phys. Rev. E, 57, 4466-4479, 1998.
15. Madadi, M. and Sahimi, M., Lattice Boltzmann simulation of fluid flow in fracture networks with rough, self-affine surfaces. Phys. Rev. E, 67 (2): Art. No 026309, 2003.
16. Marie, CM., Multiphase Flows in Porous Media, Technip, Paris, 1981.
17. Meheust, Y. and Schmittbuhl, J., Flow enhancement of a rough fracture. Geophys. Res. Lett., 27, 2989-2992, 2000.
18. Meheust, Y. and Schmittbuhl, J. Scale effects related to flow in rough fractures. Pure Appl. Geophys., 160, 1023-1050, 2003.
19. Mourzenko, V, Thovert, J.-F. and Adler, P.M., Permeability of selfaffine fractures. Transp. Porous Media, 45, 89-103, 2001.
20. Mourzenko, V, Thovert, J.-F. and Adler, P.M. Percolation of three dimensional fracture networks with power law size distribution. Phys. Rev. E, 72, 2005.
21. Mourzenko, V, Thovert, J.-E and Adler, P.M., Macroscopic permeability of three dimensional fracture networks with power law size distribution. Phys. Rev. E, 69, 066307, 2004.
22. Oda, M., Hatsuyama, Y. and Y, Numerical experiments on permeability tensor and its application to jointed rock at Stripa Mine, Sweden J. Geophys. Res., 92, B8, 8027-8048, 1987.
23. Persoff, P. and Pruess, K., Two-phase flow visualization and relative permeability measurement in natural rough-walled rock fractures. Water ResourRes., 31, 1175-1186, 1995.
24. Saar, M. O., and Manga, M., Phys. Rev. E, 65, 056131, 2002.
25. Sahimi, M., Flow and Transport in Porous Media and Fractured Rock, VCH, New York, 1995.
26. Snow, D.T, Anisotropic permeability of fractured media. Water Resour. Res., 5, 1273-1289, 1969.
27. Stauffer, D., and Aharony, A., Introduction to Percolation Theory, Taylor and Francis, Bristol, PA, 1992.
28. 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.