Prediction of vein connectivity using the percolation approach: Model test with field data

Journal of Geophysics and Engineering

Volumn 3, Issue 3, 2006, Pages 219-229

  Belayneh, M ^a   Masihi, M ^a   Matthai S K ^a   King, P R ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

Connectivity; Percolation theory; Veins

Indexed keywords

FRACTURE FLOW; FRACTURE NETWORK; LIMESTONE; MATHEMATICAL THEORY; MODELING; PERCOLATION; VEIN (GEOLOGY);

BRISTOL CHANNEL; EURASIA; EUROPE; UNITED KINGDOM; WESTERN EUROPE;

EID: 33745863132     PISSN: 17422132     EISSN: 17422140     Source Type: Journal    
DOI: 10.1088/1742-2132/3/3/003     Document Type: Article

References (53)

1. Adler P M and Thovert J F 1999 Fractures and Fracture Networks (London: Kluwer) pp 188-9
2. Bai T and Pollard D D 2000a Fracture spacing in layered rocks: a new explanation based on stress transition J. Struct. Geol. 22 43-57
3. Bai T and Pollard D D 2000b Closely spaced fractures in layered rocks: initiation mechanism and propagation kinetics J. Struct. Geol. 22 1409-25
4. Balberg I 1985 Universal percolation threshold limits in the continuum Phys. Rev. B 31 4053-5
5. Balberg I, Anderson C H, Alexander S and Wagner N 1984 Excluded volume and its relation to the onset of percolation Phys. Rev. B 30 3933-43
6. Bear J, Tsang C F and de Marsily G 1993 Flow and Contaminant Transport in Fractured Rock (New York: Academic)
7. Belayneh M 2004 Palaeostress orientation inferred from surface morphology of joints on the southern margin of the Bristol Channel Basin UK The Initiation, Propagation and Arrest of Joints and Other Fractures vol 231 ed J W Cosgrove and T Engelder (London: Geological Society) pp 243-55 (Special Publication)
8. Berkowitz B 1995 Analysis of fracture network connectivity using percolation theory Mar. Geol. 27 467-83
9. Bonnet E, Bour O, Odling N E, Davy I, Main I, Cowie P and Berkowitz B 2001 Scaling of fracture systems in geological media Rev. Geophys. 39 347-83
10. Bour O and Davy P 1997 Connectivity of random fault networks following a power-law fault length distribution Water Resour. Res. 33 1567-83
11. Bour O and Davy P 1999 Clustering and size distributions of fault pattern; theory and measurements Geophys. Res. Lett. 26 2001-4
12. Darcel C, Bour O, Davy P and de Dreuzy J R 2003 Connectivity properties of two dimensional fracture networks with stochastic fractal correlation Water Resour. Res. 39 SBH1.1-SBH1.13
13. de Dreuzy J R, Darcel C, Davy P and Bour O 2004 Influence of spatial correlation of fracture centres on the permeability of two dimensional fracture networks following a power law length distribution Water Resour. Res. 40 W01502.1-W01502.11
14. Engelder T and Peacock D C P 2001 Joint development normal to regional compression during flexural flow folding: the Lilstock buttress anticline, Somerset, England J. Struct. Geol. 23 259-77
15. Gillespie P A, Howard C B, Walsh J J and Watterson J 1993 Measurement and characterisation of spatial distributions of fractures Tectonophysics 226 113-41
16. Gillespie P A, Johnston J D, Loriga M A, McCaffrey K J W, Walsh J J and Watterson J 1999 Influence of layering on vein systematics in line samples Fractures, Fluid Flow and Mineralization vol 155 ed K J W McCaffrey, L Lonergan and J J Wilkinson (London: Geological Society) pp 35-56 (Special Publication)
17. Gillespie P A, Walsh J J, Watterson J, Bonson C G and Manzocchi T 2001 Scaling relationships of joint and vein arrays from the Burren Co. Clare, Ireland J. Struct. Geol. 23 183-201
18. Gross M R 1993 The origin and spacing of cross joints J. Struct. Geol. 15 737-51
19. Gross M R, Fischer M P, Engelder T and Greenfield R J 1995 Factors controlling joint spacing in interbedded sedimentary rocks: integrating numerical models with field observation from the Monterey Formation Fractography: Fracture Topography as a Tool in Fracture Mechanics and Stress Analysis vol 92 ed M S Ameen (London: Geological Society) pp 215-33 (Special Publication)
20. Harris C K 1990 Application of generalized effective-medium theory to transport in porous media Transp. Porous Media 5 517-42
21. Harris C K 1992 Effective medium treatment of flow through anisotropic fracture system-improved permeability estimates using a new lattice mapping Transp. Porous Media 9 287-95
22. Huang Q and Angelier J 1989 Fracture spacing and its relation to bed thickness Geol. Mag. 126 355-62
23. Hudson J A and Priest S D 1979 Discontinuities and rock mass geometry Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 16 339-62
24. Ji S and Saruwatari K 1999 A revised model for the relationship between joint spacing and layer thickness J. Struct. Geol. 20 1495-508
25. King P R 1990 The connectivity and conductivity of overlapping sandbodies North Sea Oil Gas Reservoirs II pp 353-61
26. Ladeira F L and Price N J 1981 Relationship between fracture spacing and bed thickness J. Struct. Geol. 3 179-83
27. Mandal N, Deb K S and Khan D 1994 Evidence for non-linear relationship between fracture spacing and layer thickness J. Struct. Geol. 16 1275-81
28. Masihi M, King P R and Nurafza P R 2005 Fast estimation of performance parameters in fractured reservoirs using percolation theory SPE 94186 Proc. 14th Europec Biennial Conf. (Madrid, Spain, 13-16 June 2005)
29. Mourzenko V V, Thovert J-F and Adler P M 2004 Macroscopic permeability of three-dimensional fracture networks with power-law size distribution Phys. Rev. E 69 066307
30. Mourzenko V V, Thovert J-F and Adler P M 2005 Percolation of three-dimensional fracture networks with power-law size distribution Phys. Rev. E 72 036103
31. Narr W and Suppe J 1991 Joint spacing in sedimentary rocks J. Struct. Geol. 13 1037-48
32. Nelson R 1985 Geologic Analysis of Naturally Fractured Reservoirs (Houston, TX: Gulf)
33. Nemcok M and Gayer R 1996 Modelling palaeostress magnitude and age in extensional basins: a case study from the Mesozoic Bristol Channel Basin, U.K. J. Struct. Geol. 18 1301-14
34. Nemcok M, Gayer R and Miliorizos M 1995 Structural analysis of the inverted Bristol Channel Basin: implications for the geometry and timing of fracture porosity Basin Inversion vol 88 ed J G Buchanan and P G Buchanan (London: Geological Society) pp 355-92 (Special Publication)
35. Norris D K 1966 The mesoscopic fabric of rock masses about some Canadian coal mines Proc. 2nd Cong. Int. Soc. Rock Mech. vol 1 pp 191-8
36. Odling N E 1997 Scaling and connectivity of joint systems in sandstones from western Norway J. Struct. Geol. 19 1257-71
37. Odling N E et al 1999 Variations of fracture system geometry and their implications for fluid flow in fractured hydrocarbon reservoirs Pet. Geosci. 5 373-84
38. Peacock D C P 2004 Differences between veins and joints using the example of the Jurassic limestone of Somerset The Initiation, Propagation and Arrest of Joints and Other Fractures vol 231 ed J W Cosgrove and T Engelder (London: Geological Society) pp 209-21 (Special Publication)
39. Priest S D and Hudson J A 1976 Discontinuity spacings in rocks Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 13 135-48
40. Priest S D and Hudson J A 1981 Estimation of discontinuity spacing and trace length using scan line surveys Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 18 183-97
41. Renshaw C 1999 Connectivity of joint networks with power-law length distributions Water Resour. Res. 35 2661-70
42. Rives T, Razak M, Petit J-P and Rawnsley K D 1992 Joint spacing: analogue and numerical simulations J. Struct. Geol. 14 925-37
43. Robinson P C 1983 Connectivity of fracture systems: a percolation theory approach J. Phys. A: Math. Gen. 16 605-14
44. Robinson P C 1984 Numerical calculations of critical densities for lines and planes J. Phys. A: Math. Gen. 17 2823-30
45. Sahimi M 1994 Applications of Percolation Theory 1st edn (London: Taylor and Francis)
46. Sahimi M 1995 Flow and Transport in Porous media and Fractured Rock (New York: VCH) p 482
47. Segall P and Pollard D D 1983 Joint formation in granitic rock in the Sierra Nevada Geol. Soc. Am. Bull. 94 563-75
48. Sen Z and Kazi A 1984 Discontinuity spacing and RQD estimates from finite length scan lines Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 21 203-12
49. Stauffer D 1985 Introduction to Percolation Theory (London: Taylor and Francis) p 124
50. Terzaghi R D 1923 Sources of error in joint surveys Geotechnique 15 287-304
51. Tucker M E and Wright P V 1990 Carbonate Sedimentology (London: Blackwell Scientific) p 482
52. van Djik J P, Bello M, Toscan C, Bersani A and Nardon S 2000 Tectonic model and three-dimensional fracture analysis of Monte Alpi, Southern Apennines Tectonophysics 324 203-37
53. Wu H and Pollard D D 1995 An experimental study of the relationship between joint spacing and layer thickness J. Struct. Geol. 17 887-905