Application of Fractal Theory in the Petroleum Gas Testing of Seismographical Channel
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Abstract:
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.
