7 Pages

Correlation dimension as a measure of geophysical log chaos

WithM. Figiel

Geophysical logging allows for a continuous measurement of rock properties throughout a well length. An obtained curve usually exhibits chaotic behavior. This work presents a new way of describing this chaos in a quantitative manner using fractal correlation dimension. The study was carried out for the log data from the Williston Basin, USA and the Greater Poland Voivodeship region. A Python program has been written to calculate correlation dimension. Each time an adequate graph is created. Used algorithm calculated the value of a specific data range. The influence of the range width and shift were examined. A correlation analysis between logs and their dimensions was carried out. The results indicate that the correlation dimension change throughout a whole data set and correlates in a moderate degree, although this approach appears to be questionable. Additionally, it allows for determining areas where data does not exhibit chaotic behavior.