白噪声、布郎运动以及其它满足在双对数坐标中呈一直线的信号具分形结构、自相似性或尺度无关性。地球物理信号通常表现为多个这类信号的叠加，为多维分形特征。研究、模拟在双对数坐标中成一直线的信号以及如何将多维分形中多个这种信号剖分出来，对于理解相应的地质、地球物理成因机制具有重要意义。通过对两口井的地球物理测井曲线处理，可以初步看出，在选定的地球物理测井曲线中，其具多维分形特征，不同的沉积过程相互叠加在原始测井曲线中。用滤波方法分析分解信号，可以了解不同沉积作用特征并进一步分析可能的环境变化控制机制。开发的图形界面程序使得这一过程极为容易实现。%The white noise, Brown and other signals which present the linear characteristics in the power spectra-frequency space with bi-logarithm coordinates are of the fractal structure, self-similarity and scale independence. Geophysical data are the stack of these kinds of signals and thus present multi-fractal characteristics. It is of great significance to simulate, recognize these kinds of signals for understanding the related genesis mechanisms of geological and geophysiccal processes. From the processing results of two well logging data, it can be roughly recognized that the selected well logging curves with multi-fractal characteristics are stack responses of the different sedimentary procedures. Therefore, to discompose these signals by filtering can help to understand possible sedimentary dynamic procedures. Finally, a windows software package was developed to achieve the flexibility of the method.
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