分形理论在地震道油气检测中的应用

Application of Fractal Theory in the Petroleum Gas Testing of Seismographical Channel

认为地震道是混沌的时间序列，混沌运动的轨迹在相空间中的某个区域内经无穷次的折迭，扭曲和拉伸，构成一个有无穷层次嵌套的自相似结构———奇异吸引子。对实际的地震道信号所构成的联井反射点剖面数据进行处理，运用重建相空间法（即ＧｒａｓｓｂｅｒｇｅｒＰｒｏｃａｃｉａ算法），计算出各道的关联维数，并与实际的钻井资料进行比较。对关联维数与钻井结果的关系进行了解释。用实际参照井检验，结果十分吻合。

The seismographical channel is a chaotic time series.The trajectory of the motion of chaos in some region of the phase space via fold,torsion and stretch infinite times,constitutes a self similarity structure with infinite hierarchical imbeddings.We process the date of cross section of reflection point of the joint wells which are composed by the signals of the practical seismographical channel,using the method of reconstructing phase space (i.e. the Grassberger Procaccia algorithm) to compute the correlation dimension of each channel,and compared with the data of the practical drilling wells,and we explain the relationship between the correlation dimensions and the results of the drilling wells.They are agreeable quite well.