In numerical simulation of wave motion scattering problem with obliquely incident seismic wave,besides the incident wave at bottom artificial boundary, the free field motion at incident side boundary,induced by the background layered half-space, is of input energy into the computational area. In orderto replace complicated frequency domain method, a time-step numerical simulation method to calculatethe free field motion is developed. The bases of this method are the decoupling motion equations offinite element and a interpolation formula of free field motion based on that the apparent horizontalvelocity of free field motion is constant and can be calculated exactly.
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