Simulation of Geochemical Multifractal Distribution Patterns Based on Logistic Map
That spatial distribution patterns of element concentrations are of multifractal have attracted a lot of attention and the dynamic forming mechanisms of multifractal distribution is still in debate in recent years. In this paper, one self-organization model (SO model) based on Logistic Map has been used to simulate the multifractal distribution patterns of element concentration values in space. Based on raw data set of normal distribution and addition of anomalous population, the process of obtaining new data sets is particularly introduced. Through analyzing the data sets that come from the simulated data by making use of the method of moments, the shapes of the multifractal spectrum have been discussed and the singularity range has been applied to depict the shapes of the multifractal spectrum. The conclusion can be reached that these simulated patterns satisfy a multifractal distribution and their frequency probability pattern is not single normal or lognormal. Potentially, this approach has important implications in mineral resource assessment and environment evaluation.
Shuyun Xie Qiuming Cheng Zhengyu Bao Xianzhong Ke Bing Li
State Key Laboratory of Geological Processes and Mineral Resources(GPMR), China University of Geosci 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
611-614
2007-08-26（万方平台首次上网日期，不代表论文的发表时间）