Fluctuation Analysis to Sequence of Ore-forming Element Based on Fractal-Jump Model
International Journal on Data Science and Technology
Volume 5, Issue 1, March 2019, Pages: 29-34
Received: Apr. 12, 2019;
Published: May 23, 2019
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Lai Simin, School of Mathematics and Information Science, Guangzhou University, Guangzhou, China
Wan Li, School of Mathematics and Information Science, Guangzhou University, Guangzhou, China; Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou University, Guangzhou, China
Zeng Xiangjian, School of Mathematics and Information Science, Guangzhou University, Guangzhou, China
The self-similarity of ore-forming elements is caused by long-term, multi-period characteristics and the abnormal fluctuation induced by emergency in geological process. In this study, the fractal jump model referred as a combination of fractional Brownian motion and Poisson distributed jumps was built to depict the fluctuation pattern of ore-forming elements and simulate the distribution of Au sequence for three different mineralization intensities in Dayingezhuang gold deposit in the Jiaodong gold province, China. By calculating the fitting error and drawing the comparison diagram between the simulated data and the actual data, the applicability and advantages of the model were verified. The results showed that the fractal jump model can be considered as a reliable and computationally efficient method through the comparison of the statistical characteristics between simulated and real data. In addition, this model can well depict the change of the Au element content sequence, and better simulation was achieved when the intensity of mineralization was higher. The present work provides a new insight on the prediction of mineralized levels in concealed orebody.
Fluctuation Analysis to Sequence of Ore-forming Element Based on Fractal-Jump Model, International Journal on Data Science and Technology.
Vol. 5, No. 1,
2019, pp. 29-34.
C. Yu. “Fractal Growth of Ore-forming Dynamical Systems at the Edge of Chaos-A Tentative New Metallogeny”, Eleventh V M Goldschmidt Conference., Vol 3, 2017, pp. 12-16.
Q. M. Cheng. “Mapping singularities with stream sediment geochemical data for prediction of undiscovered mineral deposits in Gejiu, Yunnan Province, China”, Ore Geol. Rev., Vol. 32, No. 1-2, 2007, pp. 23-37.
J. Deng, Q. F. Wang, L. Q. Yang, et al. “Delineation and exploration of geochemical anomalies using fractal models in the Heqing area, Yunnan Province, China”, Geochem. Explore., Vol. 105, 2010, No. 3, pp. 3-18.
J. Deng, Q. Wang, G. Li, et al. “Cenozoic tectono-magmatic and metallogenic processes in the Sanjiang region, southwestern China”, Earth-Science Reviews., Vol. 138, 2014, pp. 268-299.
E. Inam, S. Khantotong, K. W. Kim, et al. “Geochemical distribution of trace element concentrations in the vicinity of Boroo gold mine, Selenge Province, Mongolia”, Environ Geochem Health., Vol. 33, No. 1, 2011, pp. 57-69.
S. M. Zeng, J. T. Zhou, X. P. Wang, et al. “Metallogenic Characteristics and Analysis of Iron Ore Deposit in the Xinyu Iron Orefield”, Geology & Exploration., Vol. 47, No. 2, 2011, pp. 187-196.
Hu F F, H. R. Fan, X. H. Jiang, et al. “Fluid inclusions at different depths in the Sanshandao gold deposit, Jiaodong Peninsula, China”, Geofluids., Vol. 13, No. 4, 2013, pp. 528-541.
L. Wan, D. Y. Xie, X. C. Deng. “Correlation Analysis of Elimination Trend of Metallogenic Elements in Shangzhuang Gold Deposit, Jiaodong”, Journal of Guangzhou University., Vol. 13, No. 1, 2014, pp. 21-36.
L. Wan, X. Y. Hu, X. C. Deng. “Analysis of ore body mineralization intensity based on wave function—Taking the Dayingezhuang gold deposit in Shandong as an example”, Journal of Guangzhou University., Vol. 11, 2012, pp. 105-111.
Z. Y. Zhu, S. Y. Jiang, R Mathur, et al. “Iron isotope behavior during fluid/rock interaction in K-feldspar alteration zone - A model for pyrite in gold deposits from the Jiaodong Peninsula, East China”, Geochimica Et Cosmochimica Acta., 2018, pp. 222.
B. B. Mandelbort. “The Fractals Geometry of Nature”, New York: Freeman., 1982, pp. 156-200.
Q. M. Cheng. “Multidimensional fractal theory and distribution of geochemical elements”, Earth Science., Vol. 25, No. 3, 2000, pp. 311-318.
B. Peng, F. Peng. “Pricing of Extended Option under Jumping Fractal Process”, Journal of East China Normal University (Natural Science Edition)., vol. 3, 2012, pp. 30-40.
Y. Achdou, O. Pironneau. “Computational methods for option pricing”, Cambridge: Cambridge University Press., 2005, pp. 123-256.
J. L. Xue, S. R. Li, W. Y. Sun, et al. “Characteristics of the genetic mineralogy of pyrite and its significance for prospecting in the Dayingezhuang gold deposit, Jiaodong Peninsula, China”, Science China Earth Science., Vol. 57, 2014, pp. 644-661.
J. Deng, Q. Wang, L. Wan, et al. “A multifractal analysis of mineralization characteristics of the Dayingezhuang disseminated-veinlet gold deposit in the Jiaodong gold province of China”, Ore Geology Reviews., Vol. 40, No. 1, 2011, pp. 54-64.
L. Zhang, L. Q. Yang, Y. Wang, et al. “Thermochronologic constrains on the processes of formation and exhumation of the Xinli orogenic gold deposit, Jiaodong Peninsula, eastern China”, Ore Geology Reviews., Vol. 81, 2017, pp. 140-153.
W. D. Ma, D. X. Zhang, Z. L. Wang, et al. “Comparative Study on Mineralization Characteristics of Dayingezhuang Gold Deposit and Xiadian Gold Deposit in Jiaodong”, Bulletin of Mineralogy, Geochemistry., Vol. 34, No. 1, 2015, pp. 191-200.
B. L. Zhang, W. Shan, D. P. Li, et al. “The hydrothermal alteration of the Dayingezhuang gold deposit in Jiaodong”, Acta Petrologica Sinica., Vol. 33, 2017, pp. 2256-2272.
L. Q. Yang, J. Deng, Z. L. Wang, et al. “The Mesozoic gold mineralization system in Jiaodong”, Chinese Journal of Rock., Vol. 30, 2014, pp. 9-15.
G. X. Lü, Q. D. Huo, Y. L. Yuan, et al. “The intracontinental tectono-magmatic igneous uplift of the Jiaodong gold deposit-demolition and erosion-included mineralization”, Earth Science Frontier., Vol. 24, 2017, pp. 95-103.
L. Wan, Y. Q. Zhu, X. C. Deng. “Multifractal characteristics of gold grades series in the Dayingezhuang Deposit, Jiaodong Gold Province, China”, Earth Sci. Inform., Vol. 8, 2015, pp. 4-12.