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- Title
The Earth's global system of lineaments Statistics in distribution by length and the fractal dimension of the crust.
- Authors
Maslov, Lev; Anokhin, Vladimir
- Abstract
The Earth's surface lineaments (including well defined faults) group in clusters with four dominant directions: N-S, E-W, NW-SE, and NE-SW. The orientation of lineaments of each system corresponds to directions of principal stresses acting in an elastic shell of the ellipsoid of revolution due to change of its axial compression. The diagonal NW-SE and NE-SW systems form the double he- lix system of lineaments observed on the planet. The system of diagonal lineaments has a bimodal (generally multimodal) angular distribution of lineaments orientation. This bimodality is caused by a change of main shear stress (diagonal) orientation due to change of the sign of deviatoric stresses. Distribution of lineaments by length is approximated by log-logistic function describing the multiplicative process. The Hausdorff-Besicovitch (fractal) dimension of the lineaments system was found to be equal to approximately 1.5-1.6 which is close to the fractal dimension 1.58 of Sierpinski gasket.
- Subjects
FRACTAL dimensions; SURFACE of the earth; ELASTIC plates &; shells; ANGULAR distribution (Nuclear physics); SHEARING force
- Publication
New Concepts in Global Tectonics Journal, 2024, Vol 12, Issue 2, p163
- ISSN
2202-5685
- Publication type
Article