Stereological analysis of fracture network structure in geological formations

Journal of Geophysical Research: Solid Earth

Volumn 103, Issue 7, 1998, Pages 15339-15360

  Berkowitz, Brian ^a   Adler, Pierre M ^b  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

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

Author keywords

[No Author keywords available]

Indexed keywords

FRACTURE NETWORK; STEREO IMAGE;

EID: 0032503907     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/98jb01072     Document Type: Article

References (27)

1. Baecher, G.B., N.A. Lanney, and H.H. Einstein, Statistical descriptions of rock properties and sampling, Proc. U.S. Rock Mech. Symp., 18th, SCI-I-SCI-B, 1977.
2. 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.
3. Berkowitz, B., Modelling flow and contaminant transport in fractured media, in Advances in Porous Media, vol. 2, edited by Y. Corapcioglu, pp. 397-451, Elsevier, New York; 1994.
4. Billaux, D., J.P. Chiles, K. Hestir, and J. Long, Three-dimensional statistical modelling of a fractured rock mass - An example from the Fanay-Augères mine, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 26(3/4), 281-299, 1989.
5. 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.
6. Cacas, M.C., E. Ledoux, G. de Marsily, B. Tillie, A. Barbreau, E. Durand, B. Feuga, and P. Peaudecerf, Modeling fracture flow with a stochastic discrete fracture network: Calibration and validation, 1, The flow model, Water Resour. Res., 26(3), 479-489, 1990.
7. 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, vol. II, edited by A.T. Buller et al., pp. 309-318, Norw. Inst. of Technol., Graham and Trotman, London, 1990.
8. Chiles, J. P., Fractal and geostatistical methods for modeling of a fracture network, Math. Geol., 20(6), 631-654, 1988.
9. Davy, P., On the frequency-length distribution of the San Andreas fault system, J. Geophys. Res., 98, 12,141-12,151, 1993.
10. DeHoff, R.T., and F.N. Rhines, Quantitative Microscopy, McGraw-Hill, New York, 1968.
11. 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. Pet. Geol. Bull., 77, 761-777, 1993.
12. Gudmunsson, A., Geometry, formation and development of tectonic fractures on the Reykjanes Peninsula, southwest Iceland, Tectonophysics, 139, 295-308, 1987.
13. Huseby, O., J.-F. Thovert, and P. Adler, Geometry and topology of fracture systems, J. Phys. A Math. Gen., 30, 1-30, 1997.
14. Koudine, N., R. Gonzalez-Garcia, J.-F. Thovert, and P.M. Adler, Permeability of three-dimensional fracture networks, Phys. Rev. E, 57(4), 4466-4479, 1998.
15. Long, J.C.S., J.S. Remer, C.R. Wilson, and P.A. Witherspoon, Porous media equivalents for networks of discontinuous fractures, Water Resour. Res., 18(3), 645-658, 1982.
16. 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. Spec. Publ. 54, pp. 71-79, Geol. Soc. of London, 1990.
17. Morse, P.M., and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, New York, 1953.
18. Oda, M., Permeability tensor for discontinuous rock masses, Géotechnique, 35(4), 483-495, 1985.
19. O'Sullivan, F., A statistical perspective on ill-posed inverse problems. Stat. Sci., 1(4), 502-527, 1986.
20. Piggott, A.R., Fractal relations for the diameter and trace length of disc-shaped fractures, J. Geophys. Res., 102(B8), 18,121-18,125, 1997.
21. Priest, S.D., and J.A. Hudson, Estimation of discontinuity spacing and trace length using scanline surveys, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 18, 183-197, 1981.
22. Rouleau, A., and J.E. Gale, Statistical characterization of the fracture system in the Stripa granite, Sweden, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 22, 353-367, 1985.
23. Scholz, C.H., and P.A. Cowie, Determination of total strain from faulting using slip measurements, Nature, 346, 837-839, 1990.
24. Segall, P., and D.D. Pollard, Joint formation in granitic rock of the Sierra Nevada, Geol. Soc. Amer. Bull., 94, 563-575, 1983.
25. 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.
26. Warburton, P.M., A stereological interpretation of joint trace data, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 17, 181-190, 1980a.
27. Warburton, P.M., Stereological interpretation of joint trace data: Influence of joint shape and implication for geological surveys, Int. J. Rock Mech. Min. Sci. Geomech. Abstr., 17, 305-316, 1980b.