The presence of fractures, which are typically hydraulically much more transmissive and mechanically much more compliant than their embedding background, is ubiquitous throughout the upper crust (e.g., Barton, 2006). Correspondingly, there is increasing interest not only in the detection, but also, and in particular, in the geometrical, mechanical, and hydraulic characterization of fractures for a wide range of applications throughout the Earth, environmental, and engineering sciences, such as, for example, hydrocarbon exploration (e.g.,