Field measurements of the roughness of fault surfaces

Details Field measurements of the roughness of fault surfaces Field measurements of the roughness of fault surfaces

Apr 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993georl..20..639s&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 20, no. 8, p. 639-641.

Mathematics

Logic

63

Crustal Fractures, Geological Faults, Granite, Surface Roughness, Topography, Anisotropy, Autocorrelation, Power Spectra, Probability Distribution Functions, Standard Deviation

Scientific paper

We recorded the height of a granitic fault surface as a function of position along 1D profiles. We show that the profiles exhibit an 'anisotropic' scaling invariance: self-affinity. The difference between the maximum and the minimum height, and the standard deviation of the height, over a length L are proportional to L exp eta, where eta = 0.84. Other properties, such as the return probability distribution and the power spectrum of the profile, conform to this result. This self-affine property is in good agreement with recent work on artificially fractured surfaces. Previous studies at field scale are consistent with this concept.

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