Two-dimensional deformation of an orthotropic elastic medium due to seismic sources

The integral representation of two-dimensional seismic sources causing the antiplane strain deformation of an orthotropic elastic infinite medium has been obtained. Using this integral representation, the analytical expressions for the deformation of an orthotropic layered elastic medium due to a very long inclined strike-slip fault have been calculated. where the interface is horizontal and parallel to one plane of elastic symmetry. These expressions have been used to study the effect of the source location, dip of the fault and anisotropy of the medium on the horizontal displacement parallel to the fault. The variation of the horizontal displacement with the distance from the inclined fault is studied for three source locations: a surface-breaking fault and two buried faults. Both the source location and the dip of the fault are found to influence significantly the horizontal displacement at any point of an orthotropic elastic medium. Further, the horizontal displacement of an orthotropic elastic layered medium may differ significantly from that of an isotropic elastic layered medium.