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Volumn 37, Issue 2, 2011, Pages 241-249

A fast MATLAB program to estimate the multifractal spectrum of multidimensional data: Application to fractures

Author keywords

Algorithm; Box counting; Fractal; Fractures; MATLAB; Multifractal

Indexed keywords

BOX-COUNTING; COMMON PROBLEMS; FIELD DATA; MATLAB PROGRAM; MULTI FRACTALS; MULTI-FRACTAL SPECTRUM; MULTIDIMENSIONAL DATA; PROGRAM PERFORMANCE; SAMPLING EFFECTS;

EID: 78751630786     PISSN: 00983004     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cageo.2010.09.001     Document Type: Article
Times cited : (54)

References (38)
  • 1
    • 0029729418 scopus 로고    scopus 로고
    • Multifractal modeling of fractures in the Lac du Bonnet Batholith, Manitoba
    • Agterberg F.P., Cheng Q., Brown A., Good D. Multifractal modeling of fractures in the Lac du Bonnet Batholith, Manitoba. Computers & Geosciences 1996, 22(5):497-507.
    • (1996) Computers & Geosciences , vol.22 , Issue.5 , pp. 497-507
    • Agterberg, F.P.1    Cheng, Q.2    Brown, A.3    Good, D.4
  • 2
    • 0342734331 scopus 로고    scopus 로고
    • Introduction to special issue on fractals and multifractals
    • Agterberg F.P., Cheng Q. Introduction to special issue on fractals and multifractals. Computers & Geosciences 1999, 25(9):947-948.
    • (1999) Computers & Geosciences , vol.25 , Issue.9 , pp. 947-948
    • Agterberg, F.P.1    Cheng, Q.2
  • 3
    • 18844435714 scopus 로고    scopus 로고
    • The influence of noise on the generalized dimensions
    • Ahammer H., DeVaney T.T.J. The influence of noise on the generalized dimensions. Chaos, Solitons & Fractals 2005, 26(3):707-717. 10.1016/j.chaos.2005.01.050.
    • (2005) Chaos, Solitons & Fractals , vol.26 , Issue.3 , pp. 707-717
    • Ahammer, H.1    DeVaney, T.T.J.2
  • 4
    • 0004227619 scopus 로고
    • Academic Press, Boston, MA.
    • Barnsley M. Fractals Everywhere 1933, Academic Press, Boston, MA, 550pp. second ed.
    • (1933) Fractals Everywhere , pp. 550
    • Barnsley, M.1
  • 5
    • 3643086511 scopus 로고    scopus 로고
    • Fractal and multifractal measures of natural and synthetic fracture networks
    • Berkowitz B., Hadad A. Fractal and multifractal measures of natural and synthetic fracture networks. Journal of Geophysical Research 1997, 102(B6):12205-12218.
    • (1997) Journal of Geophysical Research , vol.102 , Issue.B6 , pp. 12205-12218
    • Berkowitz, B.1    Hadad, A.2
  • 7
    • 0030812434 scopus 로고    scopus 로고
    • Connectivity of random fault networks following a power law fault length distribution
    • Bour O., Davy P. Connectivity of random fault networks following a power law fault length distribution. Water Resources Research 1997, 33(7):1567-1583.
    • (1997) Water Resources Research , vol.33 , Issue.7 , pp. 1567-1583
    • Bour, O.1    Davy, P.2
  • 8
    • 0037054712 scopus 로고    scopus 로고
    • A statistical scaling model for fracture network geometry, with validation on a multiscale mapping of a joint network (Hornelen Basin, Norway)
    • Bour O., Davy P., Darcel C., Odling N. A statistical scaling model for fracture network geometry, with validation on a multiscale mapping of a joint network (Hornelen Basin, Norway). Journal of Geophysical Research 2002, 107(B6):2113. 10.1029/2001JB000176.
    • (2002) Journal of Geophysical Research , vol.107 , Issue.B6 , pp. 2113
    • Bour, O.1    Davy, P.2    Darcel, C.3    Odling, N.4
  • 9
    • 0028562378 scopus 로고
    • Chaos in geomagnetic reversal records-a comparison between earths magnetic-field data and model disk dynamo data
    • Cortini M., Barton C.C. Chaos in geomagnetic reversal records-a comparison between earths magnetic-field data and model disk dynamo data. Journal of Geophysical Research 1994, 99(B9):18021-18034.
    • (1994) Journal of Geophysical Research , vol.99 , Issue.B9 , pp. 18021-18034
    • Cortini, M.1    Barton, C.C.2
  • 10
    • 0027797184 scopus 로고
    • Statistical physics model for the spatiotemporal evolution of faults
    • Cowie P.A., Vanneste C., Sornette D. Statistical physics model for the spatiotemporal evolution of faults. Journal of Geophysical Research 1993, 98(B12):21,809-21,821.
    • (1993) Journal of Geophysical Research , vol.98 , Issue.B12 , pp. 21809-21821
    • Cowie, P.A.1    Vanneste, C.2    Sornette, D.3
  • 11
    • 0346171616 scopus 로고    scopus 로고
    • Connectivity properties of two-dimensional fracture networks with stochastic fractal correlation
    • Darcel C., Bour O., Davy P., de Dreuzy J.R. Connectivity properties of two-dimensional fracture networks with stochastic fractal correlation. Water Resources Research 2003, 39(10):1272. 10.1029/2002WR001628.
    • (2003) Water Resources Research , vol.39 , Issue.10 , pp. 1272
    • Darcel, C.1    Bour, O.2    Davy, P.3    de Dreuzy, J.R.4
  • 12
    • 33746305560 scopus 로고    scopus 로고
    • Multithematic geoprocessing and structural analysis in the Irati Oil System-Rio Bonito, Paraná Basin, Petrobras
    • de Freitas R.C., Rostirolla S.P., Ferreira F.J.F. Multithematic geoprocessing and structural analysis in the Irati Oil System-Rio Bonito, Paraná Basin, Petrobras. Geosciences Bulletin 2006, 14:71-93.
    • (2006) Geosciences Bulletin , vol.14 , pp. 71-93
    • de Freitas, R.C.1    Rostirolla, S.P.2    Ferreira, F.J.F.3
  • 13
  • 14
    • 0003586464 scopus 로고
    • Plenum Press, New York.
    • Feder J. Fractals 1988, Plenum Press, New York, 283pp.
    • (1988) Fractals , pp. 283
    • Feder, J.1
  • 15
    • 0027788349 scopus 로고
    • Probabilistic modeling of faults below the limit of seismic resolution in Pelican field, North-Sea, Offshore United-Kingdom
    • Gauthier B.D.M., Lake S.D. Probabilistic modeling of faults below the limit of seismic resolution in Pelican field, North-Sea, Offshore United-Kingdom. AAPG Bulletin-American Association Of Petroleum Geologists 1993, 77:761-777.
    • (1993) AAPG Bulletin-American Association Of Petroleum Geologists , vol.77 , pp. 761-777
    • Gauthier, B.D.M.1    Lake, S.D.2
  • 16
    • 0031806175 scopus 로고    scopus 로고
    • Practical application of fractal analysis: problems and solutions
    • Gonzato G., Mulargia F., Marzocchi W. Practical application of fractal analysis: problems and solutions. Geophysical Journal International 1998, 132(2):275-282. 10.1046/j.1365-246x.1998.00461.x.
    • (1998) Geophysical Journal International , vol.132 , Issue.2 , pp. 275-282
    • Gonzato, G.1    Mulargia, F.2    Marzocchi, W.3
  • 17
    • 0033920901 scopus 로고    scopus 로고
    • Measuring the fractal dimensions of ideal and actual objects: implications for application in geology and geophysics
    • Gonzato G., Mulargia F., Ciccotti M. Measuring the fractal dimensions of ideal and actual objects: implications for application in geology and geophysics. Geophysical Journal International 2000, 142:108-116. 10.1046/j.1365-246x.2000.00133.x.
    • (2000) Geophysical Journal International , vol.142 , pp. 108-116
    • Gonzato, G.1    Mulargia, F.2    Ciccotti, M.3
  • 18
    • 3342916075 scopus 로고
    • Fractal measures and their singularities-the characterization of strange sets
    • Halsey T.C., Jensen M.H., Kadanoff L.P., Procaccia I., Shraiman B.I. Fractal measures and their singularities-the characterization of strange sets. Physical Review A 1986, 33:1141-1151. 10.1103/PhysRevA.33.1141.
    • (1986) Physical Review A , vol.33 , pp. 1141-1151
    • Halsey, T.C.1    Jensen, M.H.2    Kadanoff, L.P.3    Procaccia, I.4    Shraiman, B.I.5
  • 19
    • 0033509445 scopus 로고    scopus 로고
    • Mixed ("multi") fractal analysis of granite wash fields/pools and structural lineaments, Peace River Arch area, northwestern Alberta, Canada; a potential approach for use in hydrocarbon exploration
    • Hein F.J. Mixed ("multi") fractal analysis of granite wash fields/pools and structural lineaments, Peace River Arch area, northwestern Alberta, Canada; a potential approach for use in hydrocarbon exploration. Bulletin of Canadian Petroleum Geology 1999, 47:556-572.
    • (1999) Bulletin of Canadian Petroleum Geology , vol.47 , pp. 556-572
    • Hein, F.J.1
  • 20
    • 0002917936 scopus 로고
    • An efficient algorithm for fast O(N ln(N)) box counting
    • Hou X.-J., Gilmore R., Mindlin G.B., Solari H.G. An efficient algorithm for fast O(N ln(N)) box counting. Physics Letters A 1990, 151:43-46. 10.1016/0375-9601(90)90844-E.
    • (1990) Physics Letters A , vol.151 , pp. 43-46
    • Hou, X.-J.1    Gilmore, R.2    Mindlin, G.B.3    Solari, H.G.4
  • 21
    • 0030269894 scopus 로고    scopus 로고
    • Implementation of a fast box-counting algorithm
    • Kruger A. Implementation of a fast box-counting algorithm. Computer Physics Communications 1996, 98:224-234. 10.1016/0010-4655(96)00080-X.
    • (1996) Computer Physics Communications , vol.98 , pp. 224-234
    • Kruger, A.1
  • 22
    • 0002684487 scopus 로고
    • Creating reservoir simulations with fractal characteristics
    • Plenum Press, New York, C.C. Barton, P.R. La Pointe (Eds.)
    • La Pointe P.R., Barton C.C. Creating reservoir simulations with fractal characteristics. Fractals in Petroleum Geology and Earth Processes 1995, 263-276. Plenum Press, New York. C.C. Barton, P.R. La Pointe (Eds.).
    • (1995) Fractals in Petroleum Geology and Earth Processes , pp. 263-276
    • La Pointe, P.R.1    Barton, C.C.2
  • 23
    • 0000442068 scopus 로고
    • A fast algorithm to determine fractal dimensions by box-counting
    • Liebovitch L.S., Toth T. A fast algorithm to determine fractal dimensions by box-counting. Physics Letters A 1989, 141:386-390. 10.1016/0375-9601(89)90854-2.
    • (1989) Physics Letters A , vol.141 , pp. 386-390
    • Liebovitch, L.S.1    Toth, T.2
  • 27
    • 0030292211 scopus 로고    scopus 로고
    • Unbiased multifractal analysis: application to fault patterns
    • Ouillon G., Sornette D. Unbiased multifractal analysis: application to fault patterns. Geophysical Research Letters 1996, 23(23):3409-3412.
    • (1996) Geophysical Research Letters , vol.23 , Issue.23 , pp. 3409-3412
    • Ouillon, G.1    Sornette, D.2
  • 28
    • 33746705611 scopus 로고    scopus 로고
    • On measuring the fractal anisotropy of 2-D geometrical sets: application to the spatial distribution of fractures
    • Pérez-López R., Paredes C. On measuring the fractal anisotropy of 2-D geometrical sets: application to the spatial distribution of fractures. Geoderma 2006, 134:402-414. 10.1016/j.geoderma.2006.03.022.
    • (2006) Geoderma , vol.134 , pp. 402-414
    • Pérez-López, R.1    Paredes, C.2
  • 29
    • 39749202208 scopus 로고    scopus 로고
    • Fractal characterization of fracture networks: an improved box-counting technique
    • Roy A., Perfect E., Dunne W.M., McKay L.D. Fractal characterization of fracture networks: an improved box-counting technique. Journal of Geophysical Research 2007, 112:B12201. 10.1029/2006JB004582.
    • (2007) Journal of Geophysical Research , vol.112
    • Roy, A.1    Perfect, E.2    Dunne, W.M.3    McKay, L.D.4
  • 30
    • 12044251146 scopus 로고
    • Flow phenomena in rocks: from continuum models to fractals percolation, cellular automata and simulated annealing
    • Sahimi M. Flow phenomena in rocks: from continuum models to fractals percolation, cellular automata and simulated annealing. Reviews in Modern Physics 1993, 65:1393-1534. 10.1103/RevModPhys.65.1393.
    • (1993) Reviews in Modern Physics , vol.65 , pp. 1393-1534
    • Sahimi, M.1
  • 31
    • 0012252949 scopus 로고
    • Fault growth in brittle-ductile experiments and the mechanics of continental collisions
    • Sornette A., Davy P., Sornette D. Fault growth in brittle-ductile experiments and the mechanics of continental collisions. Journal of Geophysical Research 1993, 98(B7):12111.
    • (1993) Journal of Geophysical Research , vol.98 , Issue.B7 , pp. 12111
    • Sornette, A.1    Davy, P.2    Sornette, D.3
  • 32
    • 0025594901 scopus 로고
    • Bouguer density determination by fractal analysis
    • Thorarinsson F., Magnusson S.G. Bouguer density determination by fractal analysis. Geophysics 1990, 55:932-935. 10.1190/1.1442909.
    • (1990) Geophysics , vol.55 , pp. 932-935
    • Thorarinsson, F.1    Magnusson, S.G.2
  • 33
    • 28444435862 scopus 로고    scopus 로고
    • Integrated conditional global optimization for discrete fracture network modelling
    • Tran N.H., Chen Z.X., Rahman S.S. Integrated conditional global optimization for discrete fracture network modelling. Computers & Geosciences 2005, 32:17-27. 10.1016/j.cageo.2005.03.019.
    • (2005) Computers & Geosciences , vol.32 , pp. 17-27
    • Tran, N.H.1    Chen, Z.X.2    Rahman, S.S.3
  • 35
    • 0029668311 scopus 로고    scopus 로고
    • Sampling of fault populations using sub-surface data: a review
    • Yielding G., Needham T., Jones H. Sampling of fault populations using sub-surface data: a review. Journal of Structural Geology 1996, 18:135-146. 10.1016/S0191-8141(96)80039-3.
    • (1996) Journal of Structural Geology , vol.18 , pp. 135-146
    • Yielding, G.1    Needham, T.2    Jones, H.3
  • 36
    • 68949152714 scopus 로고    scopus 로고
    • TBCFD-a Visual Basic program for calculation of the fractal dimension of digitized geological image data using a box-counting technique
    • Verbovsek T. TBCFD-a Visual Basic program for calculation of the fractal dimension of digitized geological image data using a box-counting technique. Geological Quarterly 2009, 53(2):241-248.
    • (2009) Geological Quarterly , vol.53 , Issue.2 , pp. 241-248
    • Verbovsek, T.1
  • 37
    • 0028563426 scopus 로고    scopus 로고
    • The finite extension of fractal geometry and power law distribution of shallow earthquakes: a geomechanical effect
    • Volant P., Grasso J.-R. The finite extension of fractal geometry and power law distribution of shallow earthquakes: a geomechanical effect. Journal of Geophysical Research 1996, 99(B11):21879-21890.
    • (1996) Journal of Geophysical Research , vol.99 , Issue.B11 , pp. 21879-21890
    • Volant, P.1    Grasso, J.-R.2
  • 38
    • 0027790891 scopus 로고
    • Fractal analysis of fracture patterns using the standard box-counting technique: valid and invalid methodologies
    • Walsh J.J., Watterson J. Fractal analysis of fracture patterns using the standard box-counting technique: valid and invalid methodologies. Journal of Structural Geology 1993, 15(12):1509-1512.
    • (1993) Journal of Structural Geology , vol.15 , Issue.12 , pp. 1509-1512
    • Walsh, J.J.1    Watterson, J.2


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