Starting from a consideration of the Long Range Dependence (LRD) behavior of sea SAR image spectra, an overview is given of the LRD approaches currently being used to achieve reliable sea surface anomalies discrimination from high resolution sea SAR images. In this paper, the problem of SAR image analysis to discriminate oil slicks from low wind areas on the sea surface is addressed by employing fractional exponential (FEXP) models and short range dependence (SRD) parameters. The presented method demonstrated reliable results when applied to European remote sensing 2 (ERS-2) SAR precision images (PRI) and ERS-2 SAR ellipsoid geocoded images (GEC) of the Atlantic and the Pacific Oceans.