A direct divider method for self-affine fractal profiles and surfaces

Geophysical Research Letters

Volumn 24, Issue 16, 1997, Pages 2099-2102

  De Santis, Angelo ^a  

^a ISTITUTO NAZIONALE DI GEOFISICA E VULCANOLOGIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

FRACTALS; LAMINATES; COMPUTATIONAL METHODS; MATHEMATICAL MODELS;

FRACTAL ANALYSIS; MULTI-STEP APPROACHES; SELF-AFFINE FRACTAL SURFACES; SELF-AFFINE FRACTALS; SELF-AFFINE PROFILES; SELF-SIMILAR FRACTALS; VARIANCE METHOD;

FRACTAL DIMENSION; GEOPHYSICS;

DIRECT DIVIDER METHOD; SELF AFFINE FRACTAL PROFILES;

FRACTAL ANALYSIS; SELF AFFINE PROFILE;

EID: 0031200970     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/97GL02002     Document Type: Article

References (18)

1. Brown, S.R., A note on the description of surface roughness using fractal dimension, Geophys. Res. Lett., 14, 1095-1098, 1987.
2. Burrough, P.A., Fractal dimensions of landscapes and other environmental data, Nature, 294, 240-242, 1981.
3. Carr, J. R., Numerical analysis for the geological sciences, Prentice Hall, Englewood Cliffs, pp. 592, 1995.
4. Clarke, K. C., Computation of the fractal dimension of topographic surfaces using triangular prism surface area method, Computers & Geosciences, 12, n.5, 713-722, 1986.
5. De Santis A. and Barraclough, D.R., A fractal interpretation of the topography of the geomagnetic scalar potential at the coremantle boundary, Pure and Applied Geophys., in press, 1997.
6. De Santis A., Fedi, M. and Quarta T., A revisitation of the triangular prism surface area method for estimating fractal dimension of fractal surfaces, Annali di Geofisica, in press, 1997.
7. Feder, J., Fractals, Plenum Press, New York, pp. 283, 1988.
8. Fox, C.G., Empirically derived relationships between fractal dimension and power law frequency spectra, Pure and Applied Geophys., 131, 1-29, 1989.
9. Grassberger P. and Procaccia I., Characterization of chaotic attractors, Phys. Rev. Lett., 50, 346, 1983.
10. Hough, S.E., On the use of spectral methods for the determination of fractal dimension, Geoph. Res. Lett., 16, 673-676, 1989.
11. Huang J. and Turcotte D.L., Fractal mapping of digitized images: application to the topography of Arizona and comparisons with synthetic images, J. Geophys. Res., 94, 7491-7495, 1989.
12. Korvin G., Fractal models in the Earth Sciences, Elsevier, pp. 396, 1992.
13. Kumar S. and Bodvarsson G.S., Fractal study and simulation of fracture roughness, Geoph. Res. Lett., 17, 701-704, 1990.
14. Pilkington M. and Todoeschuck J.P., Fractal magnetization of continental crust, Geoph. Res. Lett., 20, 627-630, 1993.
15. Russ J., Fractal surfaces, Plenum Press, pp. 309, 1994.
16. Sreenivasan K.R., Prasad R.R., Menevean C. and Ramshnkar R., The fractal geometry of interfaces and multifractal distribution of dissipating fully turbulent flows, Pure and Applied Geophys., 13, Nos. 1/2, 43-60, 1989.
17. Wong P.-Z., Fractal surfaces in porous media. In: J.R. Banavar, J. Koplik and K.W. Winkler (Ed.s), Physics and Chemistry of Porous Media, II AIP Conf. Proc., 154, AIP, New York, pp. 304-317, 1987.
18. Xingjue, S., Heming X., Zhiren N. and Zenjie, F., Self-affine fractals and the fractal dimension of fractured rock profiles, Earthquake Res. China, 8, 3, 275-281, 1994.