Subsurface fractures control the flow of fluids through reservoirs containing economic resources. Fractures can act as conduits or barriers to fluid flow and understanding the geometry of the fracture pattern is a crucial step in quantifying the connectivity of fractures, which is the major factor governing bulk permeability. Natural fractures are not randomly distributed and exhibit clustering in various forms particularly in the damage zones around larger faults. We identify the shape of lozenges, which is refer to the area (volume) relatively undeformed sandstone situated between two strands of a composite deformation band. We also mapped and quantified geometry of the deformation band patterns and ladder fractures. The published scaling relationships for attributes across dimensions depend on the assumption of random spatial distributions, and yet fractures are rarely randomly distributed in space. We aim to quantify these relationships and this will guide the construction of testable expressions for multidimensional scaling relationships using empirically derived power law exponents.


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