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Scaling Property of Ideal Granitic Sequences : Volume 14, Issue 3 (08/06/2007)

By Xu, D.

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Book Id: WPLBN0004019821
Format Type: PDF Article :
File Size: Pages 10
Reproduction Date: 2015

Title: Scaling Property of Ideal Granitic Sequences : Volume 14, Issue 3 (08/06/2007)  
Author: Xu, D.
Volume: Vol. 14, Issue 3
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection, Copernicus GmbH
Historic
Publication Date:
2007
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Agterberg, F., Cheng, Q., & Xu, D. (2007). Scaling Property of Ideal Granitic Sequences : Volume 14, Issue 3 (08/06/2007). Retrieved from http://worldebookfair.org/


Description
Description: State Key Laboratory of Geological Processes and Mineral Resources, China University of Geosciences, Wuhan (430074), China. Quantification of granite textures and structures using a mathematical model for characterization of granites has been a long-term attempt of mathematical geologists over the past four decades. It is usually difficult to determine the influence of magma properties on mineral crystallization forming fined-grained granites due to its irregular and fine-grained textures. The ideal granite model was originally developed for modeling mineral sequences from first and second-order Markov properties. This paper proposes a new model for quantifying scale invariance properties of mineral clusters and voids observed within mineral sequences. Sequences of the minerals plagioclase, quartz and orthoclase observed under the microscope for 104 aplite samples collected from the Meech Lake area, Gatineau Park, Québec were used for validation of the model. The results show that the multi-scale approaches proposed in this paper may enable quantification of the nature of the randomness of mineral grain distributions. This, in turn, may be related to original properties of the magma.

Summary
Scaling property of ideal granitic sequences

Excerpt
Banavar, J. R., Damuth, J., Maritan, A., et al.: Scaling in ecosystems and the linkage of macroecological laws, Phys. Rev. Lett., 98(6), 068104, doi:10.1103/PhysRevLett.98.068104, 2007.; Benguicui, L. and Blumenfeld-Lieberthal, E.: From lognormal distribution to power law: A new classification of the size distributions, Int. J. Modern Phys. C, 17(10), 1429–1436 2006.; Bohez, E. L. J.: Two level cluster analysis based on fractal dimension and iteratedfunction systems (IFS) for speech signal recognition, Circuits and Systems, The 1998 IEEE Asia-Pacific Conference on, Chiangmai, Thailand, 291–294, 1998.; Cheng, Q.: Markov Processes and Discrete Multifractals, Math. Geology, 31, 445–468, 1999.; Cheng, Q.: Discrete Multifractals, Math. Geology, 29, 245–266, 1997.; Cheng, Q. and Agterberg, A. F.: Comparison between two types of multifractal modeling, Math. Geology, 28, 1001–1015, 1996.; Feder, J., Jossang, T., and Rosenquist, E.: Scaling behavior and cluster fractal dimension determined by light scattering from aggregating proteins, Phys. Rev. Lett., 53, 1403–1406, 1984.; Kim, J. S., Goh, K. I., Salvi, G., et al.: Fractality in complex networks: Critical and supercritical skeletons, Phys. Rev. E, 75(1), 016110, doi:10.1103/PhysRevE.75.016110, 2007.; Luo, Z. X. and Liu, C.: A validation of the fractal dimension of cloud boundaries, Geophys. Res. Lett., 34(3), L03808, doi:10.1029/2006GL028472, 2007.; Mandelbrot, B.: The Fractal Geometry of Nature, New York, W.H. Freeman, 1983.; Martin, H. G. and Goldenfeld, N.: On the origin and robustness of power-law species-area relationships in ecology, Proceedings of the national academy of sciences of the United States of America, 103(27), 10 310–10 315, 2006.; Mogilevsky, E. I. and Shilova, N. S.: Fractal-cluster analysis and small-scale structures of solar flares, Geomagnetism and Aeronomy, 46, 303–308, 2006.; Sasaki, M.: Statistical features of vein systems in the Hishikari epithermal gold deposit, Japan, Resource Geology, 56(1), 27–36, 2006.; Schultz, R. A., Okubo, C. H., and Wilkins, S. J.: Displacement-length scaling relations for faults on the terrestrial planets, J. Struct. Geology, 28(12), 2182–2193, 2006.; Varotsos, C., Assimakopoulos, M. N., and Efstathiou, M.: Technical Note: Long-term memory effect in the CO2 concentration at Mauna Loa, Atmos. Chem. Phys., 7, 629–634, 2007.; Verma, M. K., Manna, S., Banerjee, J., et al.: Universal scaling laws for large events in driven nonequilibrium systems, Europhysics Lett., 76(6), 1050–1056, 2006.; Vistelius, A. B.: Ideal Granite and its Properties: The Stochastic Model, J. Int. Assoc. Math. Geology, 4, 89–102, 1972.; Vistelius, A. B.: On the Origin of Granodiorites of Mount Belaya (Kamchatka): An Experiment in Stochastic Modelling, Dokl. Akad. Nauk. SSSR (in Russian), 167, 1115–1118, 1966.; Vistelius, A. B., Agterberg, F. P., Divi, R., and Hogarth, D. D.: A stochastic model for the crystalization and textural analysis of a fine-grained granitic stock near Meech Lake Gatineau Park, Quebec, Canada Geological Survey, Paper 81-21, Ottawa, 1983.; Vistelius, A. B. and Harbaugh, J. W.: Granitic Rocks of the Yosemite Valley and the Ideal Granite Model, J. Int. Assoc. Math. Geology, 12, 1–24, 1980.; Voss, R. F., Laibowitz, R. B., and Allessandrini, E. I.: Fractal (scaling) clusters in thin gold films near the percolation threshold, Phys. Rev. Lett., 49(19), 1441–1444, 1982.

 

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