DOI: 10.5176/2251-3353_GEOS16.29
Authors: Kazuhei Kikuchi and Hiroyuki Nagahama
Abstract: A method to analyze self-affinities was introduced, and applied to the large scale fold geometries of the Quaternary and Tertiary in the inner belt of the Northeast Honshu Arc. Based on this analysis, their geometries are found to be self-affine and can be differently scaled in different directions. We recognize the selfaffinities for the amplitude and the wavelength of folds, and discover a crossover from local to global altitude (vertical) variation of the geometries of folds in the Northeast Honshu Arc. Buckingham's Pi-theorem has been applied to geometrically similar systems of inhomogeneous viscous Newtonian fluid under similar boundary condition. However, Buckingham's Pi-theorem cannot give us the self-affinities of folds. A general renormalization-group argument is proposed to the applicability of the similarity theory. So, by this argument, we derive the selfaffinities for the amplitude and the wavelength of folds as a parameter for the anisotropic stress field.
Keywords: component; Self-affinities, Folds, Incomplete Similarity
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