Fractal Correction of Well Logging Curves

Accurate measurement of actual geophysical properties, with well logging curves, for thin layers and thin alternate layersisof greatimportance to the identification and interpretation of oil beds, and especially to the processing and interpretation of geophysical well logging data from the continental oil beds. In this paper, the authors present a definition of well logging measurement. The fractal theory shows an exponential relationship thatis present between measure and scale. Thisexponential relationship can be used to obtain or reconstruct well logging curves, reflecting the local variation structure of the well logging curves and amending some errors in such surveying measurements as stratigraphic sliding average caused by the well logger. This method has been tested with the intermediate- and deep-induction electrical-conductivity well-logging curves obtained from Ocean Drilling Project(ODP), Leg 127, 979C hole. The comparison between the original and corrected well logging curves and their corresponding power spectral curves indicates that the corrected well logging curves are more effective than the original well logging curves in the resolution enhancement, because the corrected well logging curveseliminate partof the interferences from their neighboring strata and contain more frequency spectral components. Therefore, the fractal corrected method can be employed to increase the resolution of the well logging curves to detect thin stratigrahic layers.