| Selection of Multifractal Scaling Breaks andSeparation of Geochemical andGeophysical Anomaly |
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| 作者姓名： | Cheng Qiuming |
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| 作者单位： | Cheng Qiuming Department of Earth and Atmospheric Science，Department of Geography，York University，Toronto，Ontario，Canada，M3J 1P3 |
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| 基金项目： | NSERC Grant and PREA Grant. |
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| 摘 要： | 1Multifractalities have been observed and estimated formany quantities in physics, chemistry, as well as earth andspace sciences (see a review in Agterberg, 20011 Cheng,1999al Agterberg et al., 1993 1 Schertzer and Love joy, 1991).The multifractal theory has provided a superior distributiontype for describing the complex measures in comparison withthe ordinary statistical distributions. The former usually involves the multiple moments and parameters (Cheng, 1999alAgterberg et al., 1993 1 Sc…
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Selection of Multifractal Scaling Breaks and Separation of Geochemical and Geophysical Anomaly |
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| Cheng Qiuming.Selection of Multifractal Scaling Breaks andSeparation of Geochemical andGeophysical Anomaly[J].Journal of China University of Geosciences,2001,12(1). |
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| Authors: | Cheng Qiuming |
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| Abstract: | Spatially superimposed multiple processes such as multiplicative cascade processes often generate multifractal measures possessing so-called self-similarity or self-affinity that can be described by power- law type of functions within certain scale ranges The multifractalities can be estimated by applying multifractal modeling to the measures reflecting the characteristics of the physical processes such as the element concentration values analyzed in rock and soil samples and caused by the underlying mineralization processes and the other geological processes. The local and regional geological processes may result in geochemical patterns with distinct multifractalities as wall as variable scaling ranges. Separation of these multifractal measures on the basis of both the distinct multifractalities and the scaling ranges will be significant for both theoretical studies of multifractal modeling and its applications. Multifractal scaling breaks have been observed from various multifractal patterns. This paper introduces a technique for separating multifractal measures on the basis of scaling breaks. It has been demonstrated that the method is effective for decomposing geochemical and geophysical anomalies required for mineral exploration. A dataset containing the element concentration values of potassium and phosphorus in soil samples was employed for demonstrating the application of the method for studying the fertilizer and yield optimization in agriculture |
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| Keywords: | mineralization processes self-similarity geochemical anomaly separation multifractal scaling breaks |
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