Multivariable statistical method for characterizing images that have been formed of a complex environment such as the subsoil

1. Field of the Invention The invention is a statistical method for analyzing exploration data associated with image elements showing physical properties of a complex environment such as subsoil for identifying the spatial relations between image elements. The method comprises successive identification of the spatial structures of the data, separation of these spatial structures with removal of possible redundancies, formation, from initial images, of synthetic images or spatial components that show the spatial structures of the data, providing a typology of the initial images according to the spatial structures shown by the spatial components, and filtering of the initial images in order to suppress the noise and to select one or more identified spatial structures. The method can be used for study of any spatial data, notably in geosciences in order to process seismic images of the subsoil, but also in geography, agronomy, hydrology, geomarketing, etc.