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针对陕甘宁盆地下古生界奥陶系民化亮地层沉积的多旋回性和上古生界石盒子组和山西组地层沉积的韵律性，本文运用分形几何学方法研究了该区的实际测井的声阻抗曲线。研究表明，声用抗增量的功率诺与频率的平方成反比，与反射系数的功率港成正比；在双对数坐标系下，只在一定的标度区间，拟会功率谱与频率的关系才能表示成S（f），亦即将会分形几何学定义。β是刻画地层结构的分形标应参数。本区的声阻抗测井曲线在一定标度区间具有统计定义上的自相似性，即具有分形特征。文中给出工区内20口井的分形标度参数β值，并绘制了相应的平面图，发现该回的β低值区与已知的含气区位置比较一致，并指出有利区的延伸部位。用此法研究合成声阻抗剖面上的地层结构和含油气性，也得到了较好的效果。
In response to the multi-cycle sedimentation of the Ordovician paleo-strata in the Lower Paleozoic of the Shannang-Ningxia Basin and the rhythmical deposition of strata in the Upper Paleozoic Shihezi Formation and Shanxi Formation, the authors used fractal geometry to study the actual logging The acoustic impedance curve. The results show that the power of anti-increment is inversely proportional to the square of the frequency and proportional to the power port of the reflection coefficient. In the double logarithmic coordinate system, the power spectrum and frequency Relationship can be expressed as S (f), which will define fractal geometry. β is the fractal index parameter which describes the stratigraphic structure. Acoustic impedance logging curves in this area have a statistical definition of self-similarity in a certain scale interval, that is, have fractal characteristics. The fractal scale parameter β of 20 wells in the work area is given and the corresponding plan is drawn. It is found that the β low-value region of this work is consistent with the known gas-bearing region, and points out the extension of the favorable region. Using this method to study the stratum structure and hydrocarbon-bearing property of the synthetic acoustic impedance profile, good results have also been obtained.