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在多重分形理论和特征判定法的基础上,构造了求多重分形谱的滑动格子计算法,计算出了研究区域4种元素深、浅层的多重分形谱f(α)的图像.结果显示浅层元素的分布不具备多重分形特征;深层元素分布符合多重分形特征.就三种分形维数——格子维数、信息维数、关联维数对深层元素的分布做出了大小排序解释;后就多重分形谱f(α)的跨度、对称性和两端差值Δf做出了对应于深层元素分布概率分布集中差异、高低浓度分布差异、稳定性的解释.最后根据上述分析的结果指出应用求多重分形谱的滑动格子法研究深浅地层元素分布是一快速、实用、有效的方法,具有良好的应用前景.
On the basis of multifractal theory and feature decision method, a sliding lattice algorithm for multifractal spectrum was constructed, and the image of multifractal spectrum f (α) of deep and shallow layers of four kinds of elements in the study area was calculated. The distributions of layer elements do not have multifractal characteristics, and the deep element distributions accord with the multifractal characteristics.According to three kinds of fractal dimensions-lattice dimension, information dimension and correlation dimension, According to the span and symmetry of the fractal spectrum f (α) and the difference Δf between the two ends, we make an explanation of the concentration differences, the distributions of high and low concentrations and the stability corresponding to the deep elemental distribution.Finally, according to the above analysis, Sliding Lattice Method for Multifractal Spectrum Study of elemental distribution in deep and shallow formations is a fast, practical and effective method with good application prospects.