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Received February 16, 2005
Accepted May 13, 2005
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Characterization of Fractured Basement Reservoir Using Statistical and Fractal Methods
Geoenvironmental System Engineering, Hanyang University, Seoul 133-791, Korea
Korean Journal of Chemical Engineering, July 2005, 22(4), 591-598(8), 10.1007/BF02706649
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Abstract
This study presents a characterization of fractured basement reservoir by using statistical and fractal methods with outcrop data, seismic data, as well as FMI log data. In the statistical method, fracture intensity and length have been calculated from various outcrop data. The optimum statistical distribution functions of fracture length for outcrops have been identified with the use of discriminant equation derived from Crofton's theory. The Fisher distribution constant, representing the fracture orientation, has been computed from FMI log data. With the statistical values and distribution functions, a 3D fracture network system has been generated. The result shows that there is no distinction in orientation of the fracture network system, and it excellently matches with the outcrop data. In the fractal method, fractal dimensions of fracture length and strike for the seismic fracture network in areal distribution were calculated; a greater value in fractal dimension means that the fracture network system has intensive fractal characteristics. Meanwhile, vertical distribution and dip angle of the fracture system have been evaluated from FMI log data. The resulting 3D fracture system presents that the overall strike and distribution of the fracture system are excellently matched with those of seismic data.
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References
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Barnsely MF, Fractals Everywhere, Academic Press, Newyork (1988)
Barton CC, Hsieh PA, Physical and Hydrologic-flow Properties of Fractures, Field trip guide book T385, 28th Int. Geol. Cong., Washington DC (1989)
Barton CC, Larsen E, Fractal Geometry of Two-Dimensional Fracture Networks at Yucca Mountain, South-Western Nevada, Proceedings of International Symposium on Fundamentals of Rock Joints, Bjorkliden, Sweden (1985)
Chon B, Choi Y, Korean J. Chem. Eng., 18, 3 (2001)
Fisher RA, Dispersion on Sphere, Proc. of Royal Society London A217 (1953)
Hewett TA, Fractal Distribution of Reservoir Heterogeneity and Their Influence on Fluid Transport, paper SPE 15386 presented at the 61st Annual Technical Conference and Exhibition, New Orleans, LA (1986)
Kim IK, Kang JS, Chang SW, Choi HS, Korean Institute of Geology, Mining and Materials, 37, 1 (2000)
Fendler JH, Korean J. Chem. Eng., 18(1), 1 (2001)
Lapointe PR, Int. J. Rock Mech. Min. Sci., Geomech. Abstr. (1988)
Lapointe PR, 3D Reservoir and Stochastic Fracture Network Modeling for Enhanced Oil Recovery, Circle Ridge Phosphoria/Tensleep Reservoir, Wind River Reservation, Arapaho and Shoshone Trives, Wyoming, Semi-Annual Report, U.S. DOE (2002)
Mandelbrot BB, The Fractal Geometry of Nature, W.H.Freeman and Co., Nework (1982)
Mathews JL, Emanuel AS, Edward KA, A Modeling Study of the Mitsue Stage 1 Flood Using Fractal Geostatistics, paper SPE 18327 presented at the 63rdAnnual Technical Conference and Exhibition, Houston, TX (1988)
Mauldon M, Rock Mech. Rock Eng., 31, 4 (1998)
Nelson RA, Geologic Analysis of Naturally Fractured Reservoir, Gulf Publishing Co. Book Division, 2nd Edition (2001)
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Warburton PM, Int. J. Rock Mech. Min. Sci. & Geomech, Abstr., 17 (1980)
Zhang L, Einstein HH, Int. J. Rock Mech. Min. Sci., 37 (2000)
Zhang L, Einstein HH, Rock Mech. Rock Eng., 31, 4 (1998)