Application of generalized multifractal analysis for characterization of geological formations

We demonstrate how texture logs computed from multifractal analysis of dipmeter microresistivity signals can be used for characterizing geological formations (lithofacies) in combination with conventional well logs. In particular, we show that the generalized dimension D(1) (entropy dimension) can be considered as a heterogeneity index providing information on the spatial distribution (amounts of clustering) of heterogeneities in geological sediments. In addition, D(1) logs provide complementary information, compared to the conventional GR-log. This is illustrated by comparing core images of two intervals with similar GR responses and differing D(1) responses. Moreover, the method is equally valid if applied to the texture parameter D₁(1) computed by generalized multifractal analysis. In this way, we propose a tool for extracting textural information from well logging signals, which provides valuable information suitable for integration with data obtained from conventional well logging tools.