Hierarchical geometry of faulting

摘要: Several joint and fault patterns were mapped at different scales (from 1 cm to 100 km) on the sedimentary cover of Saudi Arabia. They analyzed using a new multifractal algorithm improved correct for irregular geometry domains finite size effects. Moreover, technique (the Optimal Anisotropic Wavelet Coefficient method) was conceived. It allows transformation large maps from smaller ones quantifies multiscale behavior faulting anisotropy. consists finding each point map an optimum filter that reveals local structure. Fault length distributions are also computed. Our main conclusion is geometrical power laws anisotropic textures hold separately in distinct limited ranges, separated by characteristic scales. we can observe one-to-one correspondence between those depths lithological or rheological interfaces Arabian crust. Fracturing thus be better modeled as hierarchical process, controlled part layering