Lithologic characterization of a reservoir using continuous-wavelet transforms

| We consider the problem of characterizing the lithology of a reservoir using gamma ray logs as well as seismic traces around the well. We rst calculate the continuous wavelet transform of the the data and then use the fact that the energy of such transformation is proportional to a power of its scale. The technique consists in estimating the power transformation obtaining a set of values of the same size as the original data and then model the distribution of these values using a double exponential. We nd that wells that are predominantly sand correspond to distributions that are signiicantly diierent to those that correspond to wells which are predominantly gravel. This happens in both cases: gamma rays and seismic traces. We use this characterization to classify other points in the reservoir.