Multiplicative Cascade Simulations of Geochemical Distribution Patterns in Relatively Open Systems
As we all know, its of great significance to study geochemical element distribution patterns by using fractal and multifractal methods in recent years. Although many authors have proved through computer simulations from different aspects that various geochemical fields follow some kinds of multifractal properties, the forming mechanism of one multifractal geochemical field is still vexing. Especially, many simulations based on De Wijs model supposed that the systems of interest is closed. That is to say, there is not any kind of materials adding or removing and the system is balanced during the simulation processes. In essence, any process is not absolutely conserved and it has experienced some kinds of interactions with surroundings to different degrees. However, little attention has been paid to the fractal and multifractal simulations of open systems. In this paper, we applied one typical multifractal model, called Moran cascade process, and one famous calculation method, the method of moments, to investigate the relationship between different multifractal spectrum curve shapes and the enrichment and depletion extents of geochemical fields. Three Monte Carlo Simulation experiments based on Moran Cascade Process are being presented to generate some random data, individually drawn from multifractal data sets with different similarity ratios. By analyzing their corresponding shapes of their multifractal spectra, the experiments are indicative of the possible formation mechanisms of elements in geochemical fields. Its found mat the multifractal spectrum curve shapes are completely dependent on the similarity ratios of the geochemical field of interest, which means, the multifractal spectrum shapes are closely associated with the enrichment and depletion mechanisms of the field in study.
Hao Li Shuyun Xie Zhengyu Bao Bing Li Xianzhong Ke Xianqiao Jia
Faculty of Engineering, China University ofGeosciences(CUG), Wuhan 430074, China State Key Laboratory of Geological Processes and Mineral Resources(GPMR), China University of Geosci Earth Science Faculty, China University of Geosciences(CUG), Wuhan 430074, China
国际会议
The 12th Conference of the International Association for Mathematical Geology(第12届国际数学地质大会)
北京
英文
235-238
2007-08-26（万方平台首次上网日期，不代表论文的发表时间）