Abstract The purpose of this study is to detect geochemical anomalies utilizing a Wavelet-Number (W-N) fractal model based on combination of a two-dimensional Discrete Wavelet Transformation (DWT) signal analysis and a Concentration-Area (C-A) fractal modeling. The DWT was carried by Sym8 as a selected wavelet pattern (by energy matching method) for Zn and Pb based on rock samples collected from the Ipack area, Central Iran. In addition, the DWT was decomposed by continuous wavelet coefficients at five levels and a final image was synthesized. Furthermore, the DWT data were classified using a fractal-wavelet model for delineation of both Zn and Pb anomalies from background levels in this area. Moreover, a Spectrum-Area (S-A) fractal modeling and classical statistics analysis were carried out and their results were compared with the wavelet-fractal modeling. As a result, the main Zn and Pb anomalies are located in the central and southern parts of the Ipack area. The results obtained by the proposed fractal-wavelet modeling are in connection with drilling for Zn and Pb exploration.

中文翻译：

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使用分形小波模型检测伊朗中部 Ipack 地区的地球化学异常

摘要 本研究的目的是利用基于二维离散小波变换 (DWT) 信号分析和集中面积 (CA) 分形建模的小波数 (WN) 分形模型检测地球化学异常。基于从伊朗中部 Ipack 地区收集的岩石样本，DWT 由 Sym8 携带，作为 Zn 和 Pb 的选定小波模式（通过能量匹配方法）。此外，通过五个级别的连续小波系数对 DWT 进行分解，并合成最终图像。此外，使用分形小波模型对 DWT 数据进行分类，以从该区域的背景水平描绘 Zn 和 Pb 异常。而且，a 进行了频谱面积 (SA) 分形建模和经典统计分析，并将其结果与小波分形建模进行了比较。因此，主要的 Zn 和 Pb 异常位于 Ipack 地区的中部和南部。通过所提出的分形小波建模获得的结果与用于锌和铅勘探的钻探有关。