Scale-invariant statistics and strong anisotropy in rock properties are documented from well log and three-dimensional seismic data in Pleistocene fluvial and deltaic deposits in the Eugene Island 330 field, Gulf of Mexico. Systematic quantification of lateral lithologic heterogeneity within a stratigraphic framework, using reflection seismic data, reveals that fluvial and deltaic depositional systems exhibit statistical behavior related to stratigraphic fabric. Well log and seismic data profiles show a decay in power spectra with wavenumber, k, according to k-β with β between 1 and 2.3. Vertical and horizontal well log data exhibit power law scaling behavior with β between 1 and 2. Horizontal seismic horizon slices were extracted from within fluvial and deltaic deposits. Seismic data from fluvial and deltaic deposits exhibit distinct differences in variance, and each depositional system reveals directional anisotropy in β. One-dimensional seismic data profiles from the fluvial deposit reveal anisotropy along depositional strike (β=1.1) and dip (β=2.2). The higher correlation observed in the direction of stratigraphic dip for the fluvial deposit may reflect the depositional fabric associated with channel systems. Correlation parameters (β) obtained in specific depositional environments can potentially be used to quantify rock fabric and provide constraints in the modeling of sedimentary processes.¿ 1997 American Geophysical Union