2D FDM simulation of seismic oscillation in local terrain

By the finite difference method, the two-dimensional elastic wave equation is processed to get the finite difference equation. Under the stability condition, the initial, boundary and absorbing boundaries are written as discrete forms for constructing the finite difference equations of wave motion problem. A FDM program package for elastic wave motion problem is developed. The geometric parameters can be input automatically into the program based on the true geometry for solving the seismic wave problem in the real complex terrain. The partial terrain of Mount Lu is simulated by the FDM program to obtain the time history of its displacement, velocity and acceleration. Then, the effects of different topography and different hypocenter depths on propagation of seismic wave on the surface are analyzed. At last, the influence of topography on seismic waves and dynamic response on free surface is discussed.