One-dimensional to three-dimensional density distribution functions and their applications in visualized big data analysis: Exemplified by picritic basalt and some other rocks

GE Can; ZHANG Qi; LI Xiuyu; SUN He; GU Hai'ou; LI Weiwei; YUAN Feng

2019 Vol. 38, No. 12

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GE Can, ZHANG Qi, LI Xiuyu, SUN He, GU Hai'ou, LI Weiwei, YUAN Feng. One-dimensional to three-dimensional density distribution functions and their applications in visualized big data analysis: Exemplified by picritic basalt and some other rocks[J]. Geological Bulletin of China, 2019, 38(12): 2043-2052.

Citation:

GE Can, ZHANG Qi, LI Xiuyu, SUN He, GU Hai'ou, LI Weiwei, YUAN Feng. One-dimensional to three-dimensional density distribution functions and their applications in visualized big data analysis: Exemplified by picritic basalt and some other rocks[J]. Geological Bulletin of China, 2019, 38(12): 2043-2052.

One-dimensional to three-dimensional density distribution functions and their applications in visualized big data analysis: Exemplified by picritic basalt and some other rocks

1.
School of Resources and Environmental Engineering, Hefei University of Technology, Hefei 230009, Anhui, China
2.
Laboratory of Three-Dimension Exploration for Mineral District, Hefei University of Technology, Hefei 230009, Anhui, China
3.
Anhui Provincial Engineering Research Center for Mineral Resources and Mine Environments, Hefei University of Technology, Hefei 230009, Anhui, China
4.
Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing 100029, China
5.
Geological Survey of Anhui Province, Hefei 230001, Anhui, China

Received Date: 17 April 2019

Revised Date: 16 July 2019

Publish Date: 15 December 2019

Abstract

Abstract

In this paper, the calculation methods and visualization schemes of density distribution functions of different dimensions are proposed to solve the problem of difficulties in analysis and comparison of rock sample data with different orders of magnitude and different measurement errors. Data mining based on the GEOROC and PETDB databases by using the three-dimensional density distribution function of SiO₂, total alkali and MgO index as well as the t-distribution random neighborhood embedding visualization method revealed that picritic basalt is similar to oceanite and ankaramite, while picrate is similar to intrusive olivine gabbro and ferropicrate. Comparisons between two-dimensional density distribution function and cumulative density contour visualization were used to analyze the data distribution of different rocks on TAS and Si-Mg maps and the core area of data concentration. It is found that the SiO₂ content of magnesium-rich picrite is higher than that of picrite basalt in general distribution. The core area of picrite is mainly located in the B area of TAS diagram, which is contrary to the traditional view that SiO₂=45% is used as the boundary between basic and ultramafic rocks.
- density distribution function /
- visualization /
- big data /
- picrite /
- picritic basalt

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References

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