Entropy-diffusion method for fracture identification and labelling in images

The disclosure provides an approach, or workflow, that extrapolates a segmentation carried out on a formation image into the labelling of fractures. The workflow can be applied to 2D and 3D images, which can be generated by different imaging technologies. Advantageously, one or more steps of the workflow can be performed automatically. An example of the workflow includes: (1) distinguishing fractures identified in a formation image from a background of the formation image by applying an entropy filter, wherein the formation image has elements that are defined as either fracture elements or non-fracture elements and entropy values for the elements are generated by the applying of the entropy filter, and (2) identifying the fracture elements that correspond to the fractures by solving a diffusion equation, wherein the entropy values are used as a diffusivity field for solving the diffusing equation and the fracture elements are used as a source.