Displacement Pattern in a Functionally Graded Transversely Isotropic, Half-Space Due to Dislocation

The forward solution of dislocation on the fault plane is one of the most important issues for earthquake source slip inversion. The dislocation on the fault plane, explained by the Burgers vector which is called slip, plays a fundamental role in estimating displacement patterns in the whole medium. In addition, obtaining displacement values in any point of a medium is possible by using the slip function on the fault plane and Green’s function as medium properties. This study shows that various assumptions for earth materials result in significant differences in displacements. Therefore, due to the realistic ground motion simulations caused by future earthquakes, considering the properties of earth materials requires more attention. By implementing the elastostatic Green’s functions and based upon line integral representations due to an arbitrary Volterra dislocation loop, elastic displacements and strains due to finite fault dislocations in a functionally graded transversely isotropic (FGTI) half-space material is presented. Also, numerical examples are provided to demonstrate the effect of material anisotropy on the internal and surface responses of the half-space.