Estimation of equivalent fracture network permeability using fractal and statistical network properties

Journal of Petroleum Science and Engineering

Volumn 92-93, Issue , 2012, Pages 110-123

  Jafari, Alireza ^a   Babadagli, Tayfun ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Artificial neural networks; Fractal dimension; Fracture density; Fracture length; Fracture network permeability; Fracture orientation; Multivariable regression

Indexed keywords

FRACTURE DENSITY; FRACTURE LENGTH; FRACTURE NETWORK; FRACTURE ORIENTATIONS; MULTIVARIABLE REGRESSION;

ESTIMATION; FRACTAL DIMENSION; FRACTURE; NEURAL NETWORKS; PETROLEUM RESERVOIRS; REGRESSION ANALYSIS; STATISTICS;

COMPUTER SIMULATION;

ARTIFICIAL NEURAL NETWORK; BACK PROPAGATION; FRACTURE NETWORK; FRACTURE ORIENTATION; GEOLOGICAL MAPPING; HYDROCARBON RESERVOIR; MULTIVARIATE ANALYSIS; OUTCROP; PERMEABILITY; QUANTITATIVE ANALYSIS; REGRESSION ANALYSIS; STATISTICAL ANALYSIS;

EID: 84864053283     PISSN: 09204105     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.petrol.2012.06.007     Document Type: Article

References (54)

1. Addison P.S. Fractals and Chaos: An Illustrated Course 1997, Institute of Physics Publishing, Bristol and Philadelphia, (pp. 256).
2. Babadagli, T., 2000. Evaluation of outcrop fracture patterns of geothermal reservoirs in southwestern Turkey. In: Proceedings of the World Geothermal Congress. May 28-June 10. Kyushu, Tohoku, Japan.
3. Babadagli T. Fractal analysis of 2D fracture networks of geothermal reservoirs in south-western Turkey. J. Volcanol. Geotherm. Res. 2001, 112:83-103.
4. Barenblatt G.I., Zheltov Y.P. Fundamental equations of filtration of homogenous liquids in fissured rocks. Sov. Dokl. Akad. Nauk. 1960, 13:545-548. (English Translation).
5. Barenblatt G.I., Zheltov Y.P., Kochina I.K. Basic concepts in the theory of seepage of homogenous liquids in fissured rocks. Sov. Appl. Math. Mech. 1960, 24:852-864. (English Translation).
6. Barton, C.C., Larsen, E., 1985. Fractal geometry of two-dimensional fracture networks at Yucca Mountain, south-western Nevada. In: Proceedings of the International Symposium on Fundamentals of Rock Joints. Bjorkliden, Sweden, pp. 77-84.
7. Barton, C.C., Hsieh, P.A., 1989. Physical and hydrologic-flow properties of fractures. Field Trip Guidebook, T385. 28th International Geological Congress, Washington DC.
8. Berkowitz B., Hadad A. Fractal and multifractal measures of natural and synthetic fracture networks. J. Geophys. Res. 1997, 102(B6):12,205-12,218. (June 10).
9. Berkowitz B., Ewing R.P. Percolation theory and network modeling applications in soil physics. Surv. Geophys. 1998, 19:23-72.
10. Bogdanov I.I., Mourzenkov V.V., Thovert J.F., Adler P.M. Effective permeability of fractured porous media in steady state flow. Water Resour. Res. 2003, 39(1):1023. 10.1029/2001WR000756.
11. Bonnet E., Bour O., Odling N.E., Davy P., Main I., Cowie P., Berkowitz B. Scaling of fracture systems in geological media. Rev. Geophys. 2001, 39(3):347-383.
12. Bourbiaux, B., Granet, S., Landereau, P., Noetinger, B., Sarda, S., Sabathier, J.C., 1999. Scaling up matrix-fracture transfers in dual-porosity models: theory and application. In: Proceedings of the Annual Technical Conference and Exhibition held in Houston, Texas, 3-6 October, SPE 56557.
13. Bourbiaux B., Cacas M.C., Sarda S., Sabathier J.C. A rapid and efficient methodology to convert fractured reservoir images into a dual-porosity model. Oil Gas Sci. Technol.-Rev. IFP 1998, 53(6):785-799. 10.2516/ogst:1998069.
14. Bunde A., Havlin S. Brief introduction to fractal geometry. Fractals in Science 1995, 298. Springer, Berlin. A. Bunde, S. Havlin (Eds.).
15. Cacas M.C., Ledoux E., de Marsily G., Tillie B., Barbreau A., Durand E., Feuga B., Peaudecerf P. Modeling fracture flow with a stochastic discrete fracture network: calibration and validation. Water Resour. Res. 1990, 26(3):479-500.
16. de Dreuzy J.-R., Davy P., Bour O. Hydraulic properties of two-dimensional random fracture networks following a power law length distribution 2. Permeability of networks based on lognormal distribution of apertures. Water Resour. Res. 2001, 37(8):2079-2095.
17. Itasca Consulting Group Inc., 2000. UDEC User's Guide. City, Minnesota, USA.
18. Jafari, A., Babadagli, T., 2008. A sensitivity analysis for effective parameters on fracture network permeability. Western Regional and Pacific Section AAPG Joint Meeting. 31 March-2 April 2008. SPE 113618, Bakersfield, California, U.S.A.
19. Jafari A., Babadagli T. A sensitivity analysis for effective parameters on fracture network permeability. SPE Reservoir Eval. Eng. 2009, 12(3):455-469.
20. Jafari A., Babadagli T. Effective fracture network permeability of geothermal reservoirs. Geothermics 2011, 40:25-38.
21. Jafari A., Babadagli T. Equivalent fracture network permeability of multi-layer-complex naturally fractured reservoirs. Transp. Porous Med. 2012, 91(1):339-362.
22. Khamforoush K., Shams K., Thovert J.-F., Adler P.M. Permeability and percolation of anisotropic three-dimensional fracture networks. Phys. Rev. E 2008, 77:056307.
23. Kirkpatrick S. Classical transport in disordered media: scaling and effective-medium theories. Phys. Rev. Lett. 1971, 27:1722-1725.
24. La Pointe P.R. A method to characterize fracture density and connectivity through fractal geometry. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 1988, 25:421-429.
25. Long J.C.S., Remer J.S., Wilson C.R., Witherspoon P.A. Porous media equivalents for networks of discontinuous fractures. Water Resour. Res. 1982, 18(3):645-658.
26. Long J.C.S., Gilmour P., Witherspoon P.A. A model for steady fluid flow in random three-dimensional networks of disk-shaped fractures. Water Resour. Res. 1985, 21(8):1105-1115.
27. Lough, M.F., Lee, S.H., Kamath, J., 1996. A new method to calculate the effective permeability of grid blocks used in the simulation of naturally fractured reservoirs. SPE 36730, SPE Annual Technical Conference and Exhibition, Denver, Colorado, U.S.A.
28. Mandelbrot B.B. The Fractal Geometry of Nature 1982, W.H. Freeman and Co., San Francisco, (pp. 460).
29. Massonnat G., Manisse E. Modelisation des reservoirs fractures et recherché de parameters equivalents: etude de l'anisotropie verticale de permeability. Bull. Centres Rech. Explor. Prod. Elf Aquitaine 1994, 18:171-209.
30. Matlab User's Guide Version 4: Neural Network Toolbox for Use with MATLAB.
31. Matsumoto N., Yomogida K., Honda S. Fractal analysis of fault systems in Japan and the Philippines. Geophys. Res. Lett. 1992, 19(4):357-360.
32. Min K.B., Jing L., Stephansson O. Determining the equivalent permeability tensor for fractured rock masses using a stochastic REV approach: method and application to the field data from Sellafield, UK. Hydrogeol. J. 2004, 12(5):497-510.
33. Mourzenko, V.V., Thovert, J.-F., Adler, P.M., 2005. Percolation and permeability of three dimensional fracture networks with a power law size distribution. Fractals in Engineering. Springer, London.
34. Mourzenko V.V., Thovert J.-F., Adler P.M. Macroscopic permeability of three-dimensional fracture networks with power-law size distribution. Phys. Rev. E 2004, 69:066307.
35. Murphy H., Huang C., Dash Z., Zyvoloski G., White A. Semianalytical solutions for fluid flow in rock joints with pressure-dependent openings. Water Resour. Res. 2004, 40:W12506. 10.1029/2004WR003005.
36. Nakashima, T., Arihar, N., Sato, K., 2001. Effective permeability estimation for modeling naturally fractured reservoirs. SPE 68124, 17-20 March, SPE Middle East Oil Show held in Bahrain.
37. Nakashima, T., Sato, K., Arihar, N., Yazawa, N., 2000. Effective permeability estimation for simulation of naturally fractured reservoirs. 16-18 October. SPE Asia Pacific Oil and Gas Conference and Exhibition held in Brisbane, Australia.
38. Nikravesh M., Aminzadeh F., Zadeh L.A. Soft Computing and Intelligent Data Analysis in Oil Exploration 2003, Elsevier. first ed.
39. Oda M. Permeability tensor for discontinuous rock mass. Geotechnique 1985, 35(4):483-495.
40. Odling N.E. Network properties of a two-dimensional natural fracture pattern. PAGEOPH 1992, 138(1):95-114.
41. Odling, N.E., 1992b. Permeability of natural and simulated fracture patterns, structural and tectonic modeling and its application to petroleum geology. NPF Special Publication 1. Norwegian Petroleum Society (NPF), Elsevier, pp. 365-380.
42. Odling N.E., Webman I. A "conductance" mesh approach to the permeability of natural and simulated fracture patterns. Water Resour. Res. 1991, 27(10). (2633-264).
43. Petrel Manual, 2007. Petrel_Processes, Schlumberger.
44. Rezaee M.R., Jafari A., Kazemzadeh E. Relationships between permeability, porosity and pore throat size in carbonate rocks using regression analysis and neural networks. J. Geophys. Eng. 2006, 370-376.
45. Rossen, W.R., Gu, Y., Lake, L.W., 2000. Connectivity and permeability in fracture networks obeying power-law statistics. Paper Presented at the SPE Permian Basin Oil and Gas Recovery Conference. SPE 50720, 21-23 March, Midland, TX.
46. Sahimi M. Flow phenomena in rocks: from continuum models to fractals, percolation, cellular automata, and simulated annealing. Rev. Mod. Phys. 1993, 65(4):1392-1537.
47. Stauffer D. Scaling theory of percolation clusters. Phys. Rep. 1979, 54:1-74. (Review Section of Physics Letters).
48. Stauffer D., Aharony A. Introduction to Percolation Theory 1994, Taylor and Francis, London. 2nd ed.
49. Teimoori, A., Chen, Z., Rahman, S.S., Tran, T., 2003. Calculation of permeability tensor using boundary element method provides a unique tool simulate naturally fractured reservoirs. Annual Technical Conference and Exhibition held in Denver. SPE 84545, Colorado, USA.
50. Warren J.E., Root P.J. The behavior of naturally fractured reservoirs. Soc. Pet. Eng. J. 1963, 245-255.
51. White, A.C., Monlar, D., Aminian, K., Mohaghegh, S., Ameri, S., Esposito, P., 1995. The application of ANN for zone identification in a complex reservoir. SPE Eastern Regional Conference and Exhibition. SPE 30977, 18-20 September, Morgantown, WV.
52. Wiener J. Predict permeability from wire line logs using neural networks. Pet. Eng. Int. 1995, (May 18-24).
53. Wong P.M., Nikravesh M. Introduction: field applications of intelligent computing techniques. J. Pet. Geol. 2001, 24(4):381-387.
54. Zhang X., Sanderson D.J., Harkness R.M., Last N.C. Evaluation of the 2D permeability. Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 1996, 33(1):17-37.