DOI: 10.1016/0191-8141(93)90010-8. Fractal analysis of fracture patterns using the standard box-counting technique: valid and invalid methodologies

Fractal analysis of fracture patterns using the standard box-counting technique: valid and invalid methodologies

10.1016/0191-8141(93)90010-8

Crossref journal-article

Elsevier BV

Journal of Structural Geology (78)

Bibliography

Walsh, J. J., & Watterson, J. (1993). Fractal analysis of fracture patterns using the standard box-counting technique: valid and invalid methodologies. Journal of Structural Geology, 15(12), 1509â1512.

Authors 2

J.J. Walsh (first)
J. Watterson (additional)

References 19 Referenced 163

10.1029/JB092iB01p00331 / J. geophys. Res. / Fractal analysis applied to characteristic segments of the San Andreas Fault by Aviles (1987)
{'key': '10.1016/0191-8141(93)90010-8_BIB2', 'series-title': 'Fundamentals of Rock Joints', 'first-page': '77', 'article-title': 'Fractal geometry of two-dimensional fracture networks at Yucca Mountain, Southwest Nevada', 'author': 'Barton', 'year': '1985'} / Fundamentals of Rock Joints / Fractal geometry of two-dimensional fracture networks at Yucca Mountain, Southwest Nevada by Barton (1985)
{'key': '10.1016/0191-8141(93)90010-8_BIB3', 'article-title': 'Characterizing fractured rock for fluid flow, geomechanical, and paleostress modelling: methods and preliminary results from Yucca Mountain, Nevada (methods for parameterizing fracture characteristics at the scale of large outcrops)', 'author': 'Barton', 'year': '1988', 'journal-title': 'Bull. U.S. geol. Surv.'} / Bull. U.S. geol. Surv. / Characterizing fractured rock for fluid flow, geomechanical, and paleostress modelling: methods and preliminary results from Yucca Mountain, Nevada (methods for parameterizing fracture characteristics at the scale of large outcrops) by Barton (1988)
{'article-title': 'Physical and Hydrologic-flow Properties of Fractures', 'year': '1989', 'author': 'Barton', 'key': '10.1016/0191-8141(93)90010-8_BIB4'} / Physical and Hydrologic-flow Properties of Fractures by Barton (1989)
{'key': '10.1016/0191-8141(93)90010-8_BIB5', 'series-title': 'North Sea Oil and Gas Reservoirs—II', 'first-page': '309', 'article-title': 'A method for estimation of the density of fault displacements below the limits of seismic resolution in reservoir formations', 'author': 'Childs', 'year': '1990'} / North Sea Oil and Gas Reservoirs—II / A method for estimation of the density of fault displacements below the limits of seismic resolution in reservoir formations by Childs (1990)
{'year': '1990', 'series-title': 'Fractal Geometry: Mathematical Foundations and Applications', 'author': 'Falconer', 'key': '10.1016/0191-8141(93)90010-8_BIB6'} / Fractal Geometry: Mathematical Foundations and Applications by Falconer (1990)
Gillespic, P., Howard, C. B., Walsh, J. J. & Watterson, J. In press. Measurement and characterisation of spatial distributions of fractures. Tectonophysics.
{'key': '10.1016/0191-8141(93)90010-8_BIB8', 'first-page': '1', 'article-title': 'Scaling relationships in natural fractures—Data, theory and applications', 'author': 'Heffer', 'year': '1990', 'journal-title': 'Soc. Petrol. Engrs, Reprint No. 20981'} / Soc. Petrol. Engrs, Reprint No. 20981 / Scaling relationships in natural fractures—Data, theory and applications by Heffer (1990)
10.1007/BF00874485 / Pure & Appl. Geophys. / Fractal dimension of fault systems in Japan: fractal structure in rock fracture geometry at various scales by Hirata (1989)
{'key': '10.1016/0191-8141(93)90010-8_BIB10', 'first-page': '467', 'article-title': 'Magnitude-frequency relation for displacement of minor faults and its significance in crustal deformation', 'volume': '31', 'author': 'Kakimi', 'year': '1980', 'journal-title': 'Bull. geol. Surv. Jap.'} / Bull. geol. Surv. Jap. / Magnitude-frequency relation for displacement of minor faults and its significance in crustal deformation by Kakimi (1980)
{'year': '1983', 'series-title': 'The Fractal Geometry of Nature', 'author': 'Mandelbrot', 'key': '10.1016/0191-8141(93)90010-8_BIB11'} / The Fractal Geometry of Nature by Mandelbrot (1983)
10.1016/0191-8141(91)90034-G / J. Struct. Geol. / Estimates of strain due to brittle faulting: sampling of fault populations by Marrett (1991)
10.1007/BF00876716 / Pure & Appl. Geophys. / Network properties of a two-dimensional natural fracture pattern by Odling (1992)
10.1029/90JB02107 / J. geophys. Res. / Euclidean and fractal models for the description of rock surface roughness by Power (1991)
10.1007/BF00878033 / Pure & Appl. Geophys. / The kinematics of gouge deformation by Sammis (1987)
10.1130/0016-7606(1970)81[1625:SBSZOD]2.0.CO;2 / Bull. geol. Soc. Am. / Similarities between shear zones of different magnitudes by Tchalenko (1970)
{'year': '1992', 'series-title': 'Fractals and Chaos in Geology and Geophysics', 'author': 'Turcotte', 'key': '10.1016/0191-8141(93)90010-8_BIB17'} / Fractals and Chaos in Geology and Geophysics by Turcotte (1992)
10.1038/351391a0 / Nature / The importance of small-scale faulting in regional extension by Walsh (1991)
10.3997/1365-2397.1992023 / First Break / The prediction of small-scale faulting in reservoirs by Yielding (1992)

Dates

Type	When
Created	22 years ago (Aug. 6, 2003, 9:37 p.m.)
Deposited	6 years, 5 months ago (March 15, 2019, 8:51 p.m.)
Indexed	2 days, 7 hours ago (Aug. 22, 2025, 12:45 a.m.)
Issued	31 years, 8 months ago (Dec. 1, 1993)
Published	31 years, 8 months ago (Dec. 1, 1993)
Published Print	31 years, 8 months ago (Dec. 1, 1993)

Funders 0

None

BibTeX

@article{Walsh_1993, title={Fractal analysis of fracture patterns using the standard box-counting technique: valid and invalid methodologies}, volume={15}, ISSN={0191-8141}, url={http://dx.doi.org/10.1016/0191-8141(93)90010-8}, DOI={10.1016/0191-8141(93)90010-8}, number={12}, journal={Journal of Structural Geology}, publisher={Elsevier BV}, author={Walsh, J.J. and Watterson, J.}, year={1993}, month=dec, pages={1509–1512} }

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