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《Well Logging Technology》 2004-05
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On Multifractal Analysis Method in Well Logging Interpretation

WEN Huan-ming 1,2 ,XIAO Ci-xun 2,LI Rui 2,YANG Bin 2,WANG Hua 2 (1.Information School, Hebei Sci-tech University, Shijiazhuang, Hebei 050054, China; 2. Information School, Univ. of Chengdu Science & Engineering, Chengdu, Sichuan 610059, China)  
There are many applications of fractals in logging interpretation. However, it is not enough for only one fractal dimension to describe the characteristics of formation because the formation is a very complicated anisotropic body. The multifractal analysis can calculate a multifractal spectrum that includes many fractal dimensions. So its more information can be provided than that of fractal analysis in the logging interpretation. The algorithm calculating the multifractal spectrum of logging is studied here after the mathematical theory of logging multifractal analysis has been studied. The program is completed in FORTRAN language according to the algorithm. It is found that the multifractal spectrum has a good effect in the description of the formation's heterogeneity through the processing and analysis of logging data coming from the field. Therefore, the logging multifractal analysis method will take some practical significance in study of the complicated formation.
【Key Words】: log curve multifractal multifractal spectrum inhomogeneous formation logging interpretation
【CateGory Index】: P631.84
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