Modeling fracture porosity development using simple growth laws

Ground Water

Volumn 43, Issue 3, 2005, Pages 314-326

  Bloomfield, John P ^a   Barker, John A ^b   Robinson, Nicola ^c  

^a BRITISH GEOLOGICAL SURVEY   (United Kingdom)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

^c ATKINS   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARRAYS; FRACTURE; GEOMETRY; POROSITY; WATER WELLS;

APERTURE DISTRIBUTIONS; FRACTURE APERTURE GROWTH; PARAMETERIZATION; POROSITY DEVELOPMENT;

AQUIFERS;

AQUIFER; FRACTURE FLOW; GROUNDWATER FLOW; POROSITY;

ARTICLE; FORECASTING; GEOLOGY; POROSITY; THEORETICAL MODEL; WATER SUPPLY;

FORECASTING; GEOLOGY; MODELS, THEORETICAL; POROSITY; WATER SUPPLY;

EID: 18944395672     PISSN: 0017467X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1745-6584.2005.0039.x     Document Type: Article

References (31)

1. Bekri, S., J.-F. Thovert, and P.M. Adler. 1997. Dissolution and deposition in fractures. Engineering Geology 48, no. 3/4: 283-308.
2. Berkowitz, B., and I. Balberg. 1993. Percolation theory and its application to ground water hydrology. Water Resources Research 29, no. 4: 775-794.
3. Bernabe, Y., and C. Bruderer. 1998. Effect of the variation of pore size distribution on the transport properties of heterogeneous networks. Journal of Geophysical Research 103, no. B1: 513-525.
4. Birk, S., R. Liedl, M. Sauter, and G. Teutsch. 2003. Hydraulic boundary conditions as a controlling factor in karst genesis: A numerical modeling study on artesian conduit development in gypsum. Water Resources Research 39, no. 1: SBH 2-1.
5. Bloomfield, J.P. 1996. Characterisation of hydrogeologically significant fracture distributions in the Chalk: An example from the Upper Chalk of southern England. Journal of Hydrology 184, no. 3/4: 355-379.
6. Charlaix, E., E. Guyon, and S. Roux. 1987. Permeability of a random array of fractures of widely varying apertures. Transport in Porous Media 2, no. 1: 31-43.
7. Dijk, P., and B. Berkowitz. 1998. Precipitation and dissolution of reactive solutes in fractures. Water Resources Research 34, no. 3: 457-470.
8. Downing, R.A., M. Price, and G.P. Jones. 1993. The Hydrogeology of the Chalk of North-West Europe. Oxford, UK: Oxford University Press.
9. Dreybrodt, W. 1996. Principles of early development of karst conduits under natural and man-made conditions revealed by mathematical analysis of numerical models. Water Resources Research 32, no. 9: 2923-2935.
10. Dullien, F.A.L. 1979. Porous Media: Fluid Transport and Pore Structure. San Diego, California: Academic Press.
11. Edmunds, W.M., W.D. Darling, D.G. Kinniburgh, L. Dever, and P. Vachier. 1992. Chalk groundwater in England and France: Hydrogeochemistry and water quality. Keyworth, UK: British Geological Survey Research Report SD/92/2.
12. Groves, C.G., and A.D. Howard. 1994. Early development of karst systems. 1. Preferential How path enlargement under laminar flow. Water Resources Research 30, no. 10: 2837-2846.
13. Hakami, E., and N. Barton. 1990. Aperture measurements and flow experiments using transparent replicas of rock joints. In Rock Joints, ed. N. Bartonand O. Stephansson, 383-390. Rotterdam, Netherlands: Balkema.
14. Hanna, R.B., and H. Rajaram. 1998. Influence of aperture variability on dissolutional growth of fissures in karst formations. Water Resources Research 34, no. 11: 2843-2853.
15. Kaufmann, G., and J. Braun. 1999. Karst aquifer evolution in fractured rocks. Water Resources Research 35, no. 11: 3223-3238.
16. Keller, A. 1998. High resolution, non-destructive measurement and characterization of fracture apertures. International Journal of Rock Mechanics and Mining Sciences 35, no. 8: 1037-1050.
17. Lauritzen, S.E., N. Odling, and J. Petersen. 1992. Modeling the evolution of channel networks in carbonate rocks. In Eurock'92 - Proceedings of the Rock Characterisation Symposium of ISRM, ed. J.A. Hudson, 57-62. London, UK: Thomas Telford.
18. MacDonald, A.M., L.J. Brewerton, and D.J. Allen. 1998. Evidence for rapid groundwater flow and karst-type behaviour in the Chalk of southern England. In Groundwater Pollution, Aquifer Recharge and Vulnerability, ed. N.S. Robins, 95-106. London, UK: Geological Society of London, Special Publication no. 130.
19. Margolin, G., B. Berkowitz, and H. Scher. 1998. Structure flow, and generalized scaling in fracture networks. Water Resources Research 34, no. 9: 2103-2121.
20. Moreno, L., Y.W. Tsang, C.F. Tsang, F.V. Hale, and I. Neretnieks. 1988. Flow and tracer transport in a single fracture: A stochastic model and its relation to some field observations. Water Resources Research 24, no. 12: 2033-2048.
21. Muller, E.N. 2001. Modeling techniques for simulating preferential flow paths in rock and soil. M.Sc. thesis, Centre for Nonlinear Dynamics and its Applications, University College London, University of London, UK.
22. Palmer, A.N. 1991. The origin and morphology of limestone caves. Bulletin of the Geological Society of America 103, no. 1: 1-21.
23. Park, Y.-J., J.-R. de Dreuzy, and K.-K. Lee. 2001. Transport and intersection mixing in random fracture networks with power law length distributions. Water Resources Research 37, no. 10: 2493-2501.
24. Price, M. 1987. Fluid flow in the Chalk of England. In Fluid Flow in Sedimentary Basins and Aquifers, ed. J.C. Goff and B.P.J. Williams, 141-156. London, UK: Geological Society of London, Special Publication no. 34.
25. Price, M., R.A. Downing, and W.M. Edmunds. 1993. The Chalk as an aquifer. In The Hydrogeology of the Chalk of North-West Europe, ed. R.A. Downing, M. Price, and G.P. Jones, 35-58. Oxford, UK: Clarendon Press.
26. Sahimi, M. 1995. Flow and Transport in Porous Media and Fractured Rock. Weinheim, Germany: VCH.
27. Sahimi, M. 1994. Applications of Percolation Theory. London, UK: Taylor & Francis.
28. Sahimi, M., G.R. Gavalas, and T.T. Tsotsis. 1990. Statistical and continuum models of fluid-solid reactions in porous media. Chemical Engineering Science 45, no. 6: 1443-1502.
29. Siemers, J., and W. Dreybrodt. 1998. Early development of karst aquifers on percolation networks of fractures in limestones. Water Resources Research 34, no. 3: 409-419.
30. Sinclair, K., and R.C. Ball. 1996. Mechanisms for global optimization of river networks from local erosion rules. Physical Review Letters 76, no. 18: 3360-3363.
31. Stauffer, D., and A. Aharony. 1994. Introduction to Percolation Theory. London, UK: Taylor & Francis.