Abstract: A morphological survey of geological formations traversed by a borehole includes constructing, from an initial image of the wall of the borehole representative of variations in a physical parameter of the formation in the longitudinal direction of the borehole (“depth”), and in the peripheral direction of the borehole wall (laterally), a “crossing-component image.” The cross-component image includes only those components of the parameter that extend all the way across the initial image from one side of the image to the other. The survey includes determining variations in one or more attributes relating to the parameter in the crossing-component image as a function of depth. The variations providing information relating to morphology to indicate solid zones, bedded zones, or different types of heterogeneous zones, for example.