Weathering: Toward a Fractal Quantifying |
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| Authors: | Klaudia Oleschko Jean-Francois Parrot Gerardo Ronquillo Sergey Shoba Georges Stoops and Vera Marcelino |
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| Institution: | (1) Laboratorio de Análisis Fractal de los Sistemas Naturales, Instituto de Geología, Universidad Autónoma de México, 04510 México, C.P., México;(2) Instituto de Geografía, UNAM, 04510 México, C.P., México;(3) Instituto Mexicano del Petróleo, Eje Central, 152 México, D.F., México;(4) Department of Geology and Soil Science, Gent University, Belgium |
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| Abstract: | Weathering occurs over a wide range of scales. To link features through these scales is a major challenge for interdisciplinary weathering studies. Fractal approach seems to be specially useful for this purpose. We introduce a multistep fractal weathering assessment scheme devoted to extract fractal weathering classifiers from texture analysis of the mineral's image. Our scheme enables to quantitatively estimate the global and local information about the geometry of the weathering pattern. This information is basic to develop geometrical indices of weathering, which can significantly enrich the common qualitative and semiquantitative weathering assessment schemes. To justify the fractal approach, a strong statistical self-similarity has been documented for both the weathering and fresh features of two common silica minerals: quartz and biogenic A-opal (phytolith) over four orders of length scales. The procedure is fast, drastically reduces thresholding bias, promises to be universal, it is valid for genetically different minerals and rock types, scale independent, and specially useful for monitoring the changes in the mineral's roughness during the alteration. Two of the proposed classifiers seem to be potentially useful for direct application in the field and be used by nonspecialist. |
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| Keywords: | scale invariance texture roughness thresholding quartz phytolith |
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