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《Well Logging Technology》 2005-01
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Some Remarks on Application of Fractal Analyses in Well Logging Data

LI Chunfeng(Lab of Marine Geology, Ministry of Education, Tongji Univercity, Shanghai 200092, China)  
This paper discusses applications of fractal analyses in well logging data, and particularly some related problems which are prone to causing misunderstandings and errors. One of the most troublesome issues is the inconsistency between the rescaledrange method and the power spectrum method, mainly due to the incorrect preprocessing of the raw well data. Then discussed is the relationship between the global scaling exponent (H) and the local singularity exponent (Hu), followed by the introduction of multifractal properties of well logging data. Studies show that multifractal spectra of log data are rarely symmetrical, but have steepened slopes on their left branches where the singularity strengths are higher. This indicates more rapid variations in fractal dimensions (or relative portions) for highly singular data points in the data series. Further discussed are the causes for the universal 1/f~~β phenomenon, and we come to see that while the causes might be multiple and intertwined, sedimentary process alone can produce multifractal sedimentary sequences.
【Fund】: 国家重点基础研究专项经费资助项目(G2000078501);; 同济大学211工程人才引进启动资金资助
【CateGory Index】: P631.84
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