The effects of the layered structure, self-gravity, curvature for the co-seismic deformation caused by 2011 Tohoku-oki earthquake

In our paper, we have calculated the effects of the layered structure, self-gravity, curvature for the co-seismic deformation use the Half-space dislocation theory and the Spherical dislocation theory. We research the point source and finite fault source respectively. Although there are some similar works, they haven't made an entire work. At first, we analysis the effects of these elements for the point source, we can see the effect of the layered structure is much more than the self-gravity and the curvature. The error created by the layered structure is 20%. The error created by the self-gravity is no more than 12%, and the error created by the curvature is less then 4.5%. Then, we use the 2011 Tohoku-oki earthquake for case study, calculating the co-seismic deformation errors between the homogeneous half-space earth model without self-gravity and the layered spherical earth model with self-gravity. At last, we invert the fault slip distribution models of the Tohoku earthquake using the homogeneous and inhomogeneous earth model. Consequently, the effect of the layered structure is 18% for finite fault source, which is less than the result of the point source.