On the connectivity of three-dimensional fault networks

Water Resources Research

Volumn 34, Issue 10, 1998, Pages 2611-2622

  Bour, Olivier ^a   Davy, Philippe ^a  

^a UNIVERSITÉ DE RENNES 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL METHOD; CONNECTIVITY; FAULT; FRACTURE NETWORK; PERMEABILITY;

SOLVENTS;

ANALYTICAL EXPRESSIONS; CRITICAL LENGTH SCALE; FAULT LENGTH DISTRIBUTION; GEOMETRICAL PROPERTY; LENGTH DISTRIBUTIONS; PERCOLATION THRESHOLDS; PERMEABILITY MEASUREMENTS; SCALE OF OBSERVATION;

STRUCTURAL GEOLOGY;

EID: 0031709801     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/98WR01861     Document Type: Article

References (45)

1. Ackermann, R. V., and R. W. Schlische, Anticlustering of small normal faults around larger faults, Geology, 25(12), 1127-1130, 1997.
2. Balberg, I., Connectivity and conductivity in 2-D and 3-D fracture systems, in Proceedings of the International Conference on Fragmentation, Form and Flow in Fractured Media, Ann. Isr. Phys. Soc., vol. 8, edited by R. Englman and Z. Jaeger, pp. 89-101, Adam Hilger, Bristol, England, 1986.
3. Balberg, I., C. H. Anderson, S. Alexander, and N. Wagner, Excluded volume and its relation to the onset of percolation, Phys. Rev. B, 30(7), 3933-3943, 1984.
4. Balberg, I., B. Berkowitz, and G. E. Drachsler, Application of a percolation model to flow in fractured hard rocks, J. Geophys. Res., 96(B6), 10,015-10,021, 1991.
5. Baudet, C., E. Charlaix, E. Clément, E. Gyron, J. P. Hulin, and C. Leroy, Scaling concept in porous media, in Proceedings, NATO Conference on "Scaling in Disordered Systems," Geilo, Norway, April 10-21, edited by R. Pynn, pp. 399-422, Plenum, New York, 1985.
6. Belfield, W. C., Multifractal characteristics of natural fracture apertures, Geophys. Res. Lett., 21(24), 2641-2644, 1994.
7. Berkowitz, B., Analysis of fracture network connectivity using percolation theory, Math. Geol., 27(4), 467-483, 1995.
8. Berkowitz, B., and P. M. Adler, Stereological analysis of fracture network structure in geological formations, J. Geophys. Res., 103, (B7), 15,339-15,360, 1998.
9. Berkowitz, B., and I. Balberg, Percolation theory and its application to groundwater hydrology, Water Resour. Res., 29(4), 775-794, 1993.
10. Bour, O., and P. Davy, Connectivity of random fault networks following a power-law fault length distribution, Water Resour. Res., 33(7), 1567-1583, 1997.
11. Brace, W. F., Permeability of crystalline rocks: New in-situ measurements, J. Geophys. Res., 89, 4327-4330, 1984.
12. Cacas, M. C., E. Ledoux, G. de Marsily, B. Tillie, A. Barbreau, E. Durand, B. Fuega, and P. Peaudecerf, Modeling fracture flow with a stochastic discrete fracture network: Calibration and validation, 1, The flow model, Water Resour. Res., 26, 479-489, 1990.
13. Charlaix, E., E. Guyon, and N. Rivier, A criterion for percolation threshold in a random array of plates, Solid State Commun., 50(11), 999-1002, 1984.
14. Charlaix, E., E. Guyon, and S. Roux, Permeability of a random array of fractures of widely varying apertures, Transp. Porous Media, 2, 31-43, 1987.
15. Childs, C., J. J. Walsh, and J. Watterson, A method for estimation of the density of fault displacements below the limits of seismic resolution in reservoir formations, in North Sea Oil and Gas Reservoirs, II, edited by A. T. Buller et al., pp. 309-318, Norw. Inst. of Technol., Graham and Trotman, London, 1990.
16. Clauser, C., Permeability of crystalline rocks, Eos Trans. AGU, 73(21), 233, 237-238, 1992.
17. Davy, P., On the frequency-length distribution of the San Andreas fault system, J. Geophys. Res., 98, 12,141-12,151, 1993.
18. Englman, R., Y. Gur, and Z. Jaeger, Fluid flow through a crack network in rocks, J. Appl. Mech., 50, 707-711, 1983.
19. Gautier, B. D. M., and S. D. Lake, Probabilistic modeling of faults below the limit of seismic resolution in Pelican Field, North Sea, Offshore United Kingdom, Am. Assoc. Petrol. Geol. Bull., 77, 761-777, 1993.
20. Gavrilenko, P., and Y. Gueguen, Fluid flow in fractured media, a modified renormalization method, Water Resour. Res., 34(2), 177-191, 1998.
21. Gudmunsson, A., Geometry, formation and development of tectonic fractures on the Reykjanes Peninsula, southwest Iceland, Tectonophysics, 139, 295-308, 1987.
22. Guimerà, J., L. Vives, and J. Carrera, A discussion of scale effects on hydraulic conductivity at a granitic site (El Berrocal, Spain), Geophys. Res. Lett., 22(11), 1449-1452, 1995.
23. Guyon, E., C. D. Mitescu, J. P. Hulin, and S. Roux, Fractals and percolation in porous media and flows?, Physica D, 38, 172-178, 1989.
24. Hestir, K., and J. C. S. Long, 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.
25. Hoshen, J., and R. Kopelman, Percolation and cluster distribution, I, Cluster multiple labeling technique and critical concentration algorithm, Phys. Rev. B, 14(8), 3438-3445, 1976.
26. Huseby, O., J. F. Thovert, and P. M. Adler, Geometry and topology of fracture systems, J. Phys. A Math. Gen., 30, 1415-1444, 1997.
27. Kiraly, L., Rapport sur l'état actuel des connaissances dans le domaine des caractères physiques des roches karstiques, in Hydrogeology of Karstic Terrains I, Ser. B, vol. 3, edited by A. Burger and L. Dubertret, pp. 53-67, Inter. Assoc. Hydrogeol., Paris, 1975.
28. Main, I. G., P. G. Meredith, P. R. Sammonds, and C. Jones, Influence of fractal flaw distributions on rock deformation in the brittle field, in Deformation Mechanisms, Rheology and Tectonics, edited by R. J. Knipe and E. H. Rutter, Geol. Soc. Spec. Publ., 54, 71-79, 1990.
29. Marrett, R., Aggregate properties of fracture populations, J. Struct. Geol., 18(2/3), 169-178, 1996.
30. Neuman, S. P., Generalised scaling of permeabilities: Validation and effect of support scale, Geophys. Res. Lett., 21, 349-352, 1994.
31. Odling, N. E., Scaling and connectivity of joint systems in sandstone from western Norway, J. Struct. Geol., 19(10), 1257-1271, 1997.
32. Petit, J. P., G. Massonnat, F. Pueo, and K. Rawnsley, Mode 1 fracture shape ratios in layered rocks: A case study in the Lodève Permian basin (France), Bull. Cent. Rech. Explor.-Prod. Elf Aquitaine, 18(1), 1-379, 1994.
33. Pickering, G., J. M. Bull, and D. J. Sanderson, Sampling power-law distributions, Tectonophysics, 248, 1-20, 1995.
34. Piggott, A. R., Fractal relations for the diameter and trace length of disc-shaped fractures, J. Geophys. Res., 102(8), 18,121-18,125, 1997.
35. Prakash, S., S. Havlin, M. Schwartz, and H. E. Stanley, Structural and long-range correlated percolation, Phys. Rev. A, 46(4), R1724-R1727, 1992.
36. Renshaw, C. E., Sampling bias and the scaling of hydraulic conductivity in fractured rock, Geophys. Res. Lett., 25(1), 121-124, 1998.
37. Robinson, P. C., Connectivity of fracture systems: A percolation theory approach, J. Phys. A Math Gen., 16(3), 605-614, 1983.
38. Robinson, P. C., Numerical calculations of critical densities for lines and planes, J. Phys. A Math Gen., 17(14), 2823-2830, 1984.
39. Sahimi, M., Flow and Transport in Porous Media and Fractured Rock, 482 pp., VCH, Weinheim, 1995.
40. Schmittbuhl, J., J. P. Vilotte, and S. Roux, Percolation through self-affine surfaces, J. Phys. A. Math. Gen., 26, 6115-6133, 1993.
41. Scholz, C. H., and P. A. Cowie, Determination of total strain from faulting using slip measurements, Nature, 346, 837-839, 1990.
42. Segall, P., and D. D. Pollard, Joint formation in granitic rock of the Sierra Nevada, Geol. Soc. Am. Bull, 94, 563-575, 1983.
43. Stauffer, D., and A. Aharony, Introduction to Percolation Theory, 181 pp., Taylor and Francis, Bristol, Pa., 1992.
44. Villemin, T., and C. Sunwoo, Distribution logarithmique des rejets et longueurs de failles: Exemple du bassin houiller lorrain, C. R. Acad. Sci. Paris, 305, 1309-1312, 1987.
45. Watanabe, K., and H. Takahashi, Fractal geometry characterization of geothermal reservoir fracture networks, J. Geophys. Res., 100(B1), 521-528, 1995.