A spectral analysis model of stress accumulation related to asperities along fault planes

The purpose of this study is to analyze the accumulation and distribution of stress across fault planes using an analytical model based on the reflection of the detector spectrum on the roughness of the fault surfaces during the failure. Fault Modeling is based on asperities making half-spaces separated from each other. This model considers mechanical interaction between contact points and, therefore, can provide a physical explanation of how to redistribute stress at fail time at a locked fault plane. For a boundary condition, a certain displacement, normal and shear forces are calculated at contact points and compared to the failure criterion. If one or more locked surfaces of the fault do not work, the stresses are recalculated. The stress redistribution that is caused by the failure may cause other locked surfaces to fail. This process continues to achieve a stable state or complete failure of entire fault plane for analysis with detector spectrum. The distribution of stresses as well as the onset and progress of failures depend on the contact geometry and roughness.