Fractal, multifractal and sliding window correlation dimension analysis of sedimentary time series
Multifractal analysis, the box counting technique and sliding window correlation dimension analysis are methods for the detection and description of nonlinear variations in sedimentary time/depth series measurements such as well-log data. Combinations of these methods allow the detection of sedimentary discontinuities and fractal clustering of events such as bentonite layers or fossils horizons in sedimentary sections. The methods are used to analyze linear, periodic, fractal and random patterns with different sampling intervals and after setting distinctive measurement thresholds. Application of the methods iis illustrated by means of computer simulation models and on the gamma-ray log from a Mid-Cretaceous sedimentary time series. (C) 1999 Elsevier Science Ltd. All rights reserved.
fractal multifractal nonlinear time series analysis sedimentation models