分形理论在油气检测中的应用

Application of Fractal Theory to Petroleum gas Detection

作者根据许多地质体在很宽的标度范围内普遍具有的标度不变性和自相似性，尝试将分形理论应用于石油地球物理勘探中。还运用重建相空间法（Ｇｒａｓｓｂｅｒｇｅｒ－Ｐｒｏｃａｃｃｉａ算法）对实际的地震资料进行了处理，计算出了关联维数。

Many geological objects have the fundamental and universal characteristics of scale invariance and self similarity in a wide range of scales.We attempt to apply the fractal theory to the exploration of petroleum geophysics.Using the method of reconstructing phase space (i.e. the Grassberger Procaccia algorithm) to compute the correlation dimensions, we explain the relationship between the correlation dimensions and the result of the drilling wells with the data.Practice shows that the method proposed in this paper for detecting the petroleum gas is very effective.